History of metamaterials

A metamaterial which produces a negative index of refraction. The total array consists of 3×20×20 unit cells with overall dimensions of 10×100×100 millimeters.

The history of metamaterials begins with artificial dielectrics in microwave engineering as it developed just after World War II. Yet, there are seminal explorations of artificial materials for manipulating electromagnetic waves at the end of the 19th century. ^[1] Hence, the history of metamaterials is essentially a history of developing certain types of manufactured materials, which interact at radio frequency, microwave, and later optical frequencies. ^{[2] [3] [4] [5]}

As the science of materials has advanced, photonic materials have been developed which use the photon of light as the fundamental carrier of information. This has led to photonic crystals, and at the beginning of the new millennium, the proof of principle for functioning metamaterials with a negative index of refraction in the microwave- (at 10.5 Gigahertz) and optical ^{[4] [5]} range. This was followed by the first proof of principle for metamaterial cloaking (shielding an object from view), also in the microwave range, about six years later. ^[6] However, a cloak that can conceal objects across the entire electromagnetic spectrum is still decades away. Many physics and engineering problems need to be solved.

Nevertheless, negative refractive materials have led to the development of metamaterial antennas and metamaterial microwave lenses for miniature wireless system antennas which are more efficient than their conventional counterparts. Also, metamaterial antennas are now commercially available. Meanwhile, subwavelength focusing with the superlens is also a part of present-day metamaterials research. ^[6]

Early wave studies

Electromagnetic waves are formed by the vibrations of electric fields and magnetic fields. These fields are perpendicular to one another in the direction the wave is traveling. Once formed, this energy travels at the speed of light until further interaction with matter. The electric field is in a vertical plane and the magnetic field in a horizontal plane. The two types of fields in electromagnetic waves are always in phase with each other.

Classical waves transfer energy without transporting matter through the medium (material). For example, waves in a pond do not carry the water molecules from place to place; rather the wave's energy travels through the water, leaving the water molecules in place. Additionally, charged particles, such as electrons and protons create electromagnetic fields when they move, and these fields transport the type of energy known as electromagnetic radiation, or light. A changing magnetic field will induce a changing electric field and vice versa—the two are linked. These changing fields form electromagnetic waves. Electromagnetic waves differ from mechanical waves in that they do not require a medium to propagate. This means that electromagnetic waves can travel not only through air and solid materials, but also through the vacuum of space. ^[7]

The "history of metamaterials" can have a variety starting points depending on the properties of interest. Related early wave studies started in 1904 and progressed through more than half of the first part of the twentieth century. This early research included the relationship of the phase velocity to group velocity and the relationship of the wave vector and Pointing vector. ^{[8] [9] [10]}

In 1904 the possibility of negative phase velocity accompanied by an anti-parallel group velocity were noted by Horace Lamb (book: Hydrodynamics) and Arthur Schuster (Book: Intro to Optics). ^[11] However both thought practical achievement of these phenomena were not possible. In 1945 Leonid Mandelstam (also "Mandel'shtam") studied the anti-parallel phase and group advance in more detail. ^[11] He is also noted for examining the electromagnetic characteristics of materials demonstrating negative refraction, as well as the first left-handed material concept. These studies included negative group velocity. He reported that such phenomena occurs in a crystal lattice. This may be considered significant because the metamaterial is a man made crystal lattice (structure). ^{[8] [9] [12] [13]} In 1905 H.C. Pocklington also studied certain effects related to negative group velocity. ^[14]

V.E. Pafomov (1959), and several years later, the research team V.M. Agranovich and V.L. Ginzburg (1966) reported the repercussions of negative permittivity, negative permeability, and negative group velocity in their study of crystals and excitons. ^{[8] [9]}

In 1967, V.G. Veselago from Moscow Institute of Physics and Technology considered the theoretical model of medium that is now known as a metamaterial. ^[11] However, physical experimentation did not occur until 33 years after the paper's publication due to lack of available materials and lack of sufficient computing power. It was not until the 1990s that materials and computing power became available to artificially produce the necessary structures. Veselago also predicted a number of electromagnetic phenomena that would be reversed including the refractive index. In addition, he is credited with coining the term "left handed material" for the present day metamaterial because of the anti-parallel behavior of the wave vector and other electromagnetic fields. Moreover, he noted that the material he was studying was a double negative material, as certain metamaterials are named today, because of the ability to simultaneously produce negative values for two important parameters, e.g. permittivity and permeability. In 1968, his paper was translated and published in English. ^{[10] [15]} He was nominated later for a Nobel prize.

Later still, developments in nanofabrication and subwavelength imaging techniques are now taking this work into optical wavelengths. ^[16]

Early electromagnetic media

Bose's apparatus demonstrated at the Royal Institution in 1897. A schematic diagram—the waveguide radiator is affixed on top of the transmitter at left. In addition, a pyramidal electromagnetic horn antenna is first used by Bose. This horn antenna acts as a "collecting funnel" for the electromagnetic radiation of interest.

In the 19th century Maxwell's equations united all previous observations, experiments, and established propositions pertaining to electricity and magnetism into a consistent theory, which is also fundamental to optics. ^[17] Maxwell's work demonstrated that electricity, magnetism and even light are all manifestations of the same phenomenon, namely the electromagnetic field. ^[18]

Likewise, the concept of using certain constructed materials as a method for manipulating electromagnetic waves dates back to the 19th century. Microwave theory had developed significantly during the latter part of the 19th century with the cylindrical parabolic reflector, dielectric lens, microwave absorbers, the cavity radiator, the radiating iris, and the pyramidal electromagnetic horn. ^[1] The science involving microwaves also included round, square, and rectangular waveguides precluding Sir Rayleigh's published work on waveguide operation in 1896. Microwave optics, involving the focusing of microwaves, introduced quasi-optical components, and a treatment of microwave optics was published in 1897 (by Righi). ^{[3] [19] [20]}

Jagadish Chandra Bose

Jagadish Chandra Bose was a scientist involved in original microwave research during the 1890s. As officiating professor of physics at Presidency College he involved himself with laboratory experiments and studies involving refraction, diffraction and polarization, as well as transmitters, receivers and various microwave components. ^{[21] [22]}

He connected receivers to a sensitive galvanometer, and developed crystals to be used as a receiver. The crystals operated in the shortwave radio range. Crystals were also developed to detect both white and ultraviolet light. These crystals were patented in 1904 for their capability to detect electromagnetic radiation. Furthermore, it appears that his work also anticipated the existence of p-type and n-type semiconductors by 60 years. ^[21]

For the general public in 1895, Bose was able to remotely ring a bell and explode gunpowder with the use of electromagnetic waves. In 1896, it was reported that Bose had transmitted electromagnetic signals over almost a mile. ^[21] In 1897, Bose reported on his microwave research (experiments) at the Royal Institution in London. There he demonstrated his apparatus at wavelengths that ranged from 2.5 centimeters to 5 millimeters. ^[21]

Early chiral media

In 1898, Jagadish Chandra Bose conducted the first microwave experiment on twisted structures. These twisted structures match the geometries that are known as artificial chiral media in today's terminology. By this time, he had also researched double refraction (birefringence) in crystals. Other research included polarization of electric field "waves" that crystals produce. He discovered this type of polarization in other materials including a class of dielectrics. ^{[3] [21] [23]}

In addition, chirality as optical activity in a given material is a phenomenon that has been studied since the 19th century. By 1811, a study of quartz crystals revealed that such crystalline solids rotate the polarization of polarized light denoting optical activity. By 1815, materials other than crystals, such as oil of turpentine were known to exhibit chirality. However, the basic cause was not known. Louis Pasteur solved the problem (chirality of the molecules) originating a new discipline known as stereochemistry. At the macroscopic scale, Lindman applied microwaves to the problem with wire spirals (wire helices) in 1920 and 1922. ^{[24] [25]}

Karl F. Lindman, from 1914 and into the 1920s, studied artificial chiral media formed by a collection of randomly oriented small spirals. He was written about by present-day metamaterials scientists: Ismo V. Lindell, Ari H. Sihvola, and Juhani Kurkijarvi. ^[26]

20th century artificial dielectrics

This "lens" converts the input spherical microwave radiation into parallel (collimated) lines in a given direction at the exit side of the microwave lens. The focusing action of the lens is accomplished by the refracting qualities of the metallic strip.

Much of the historic research related to metamaterials is weighted from the view of antenna beam shaping within microwave engineering just after World War II. Furthermore, metamaterials appear to be historically linked to the body of research pertaining to artificial dielectrics throughout the late 1940s, the 1950s and the 1960s. The most common use for artificial dielectrics throughout prior decades has been in the microwave regime for antenna beam shaping. The artificial dielectrics had been proposed as a low cost and lightweight "tool". Research on artificial dielectrics, other than metamaterials, is still ongoing for pertinent parts of the electromagnetic spectrum. ^{[2] [27] [28] [29]}

Pioneering works in microwave engineering on artificial dielectrics in microwave were produced by Winston E. Kock, Seymour Cohn, John Brown, and Walter Rotman. Periodic artificial structures were proposed by Kock, Rotman, and Sergei Schelkunoff. There is also an extensive reference list that is focused on the properties of artificial dielectrics in the 1991 book, Field Theory of Guided Waves by Robert E. Collin. ^{[2] [29] [30] [31]}

Schelkunoff achieved notice for contributions to antenna theory and electromagnetic wave propagation. ^[2] "Magnetic particles made of capacitively loaded loops were also suggested by Sergei Schelkunoff in 1952 (who was a senior colleague of Winston Kock at Bell Labs at the time). However, Schelkunoff suggested these particles as a means of synthesizing high permeability (and not negative) values but he recognized that such high permeability artificial dielectrics would be quite dispersive." ^[29]

W.E. Kock proposed metallic and wire lenses for antennas. Some of these are the metallic delay lens, parallel-wire lens, and the wire mesh lens. In addition, he conducted analytical studies regarding the response of customized metallic particles to a quasistatic electromagnetic radiation. As with the current large group of researchers conveying the behavior of metamaterials, Kock noted behaviors and structure in artificial materials that are similar to metamaterials. ^{[29] [30] [32] [33]}

He employed particles, which would be of varying geometric shape; spheres, discs, ellipsoids and prolate or oblate spheroids, and would be either isolated or set in a repeating pattern as part of an array configuration. Furthermore, he was able to determine that such particles behave as a dielectric medium. He also noticed that the permittivity "ε" and permeability "μ" of these particles can be purposely tuned, but not independently. ^{[29] [33]}

With metamaterials, however, local values for both ε and μ are designed as part of the fabrication process, or analytically designed in theoretical studies. Because of this process, individual metamaterial inclusions can be independently tuned. ^{[29] [33] [34]}

With artificial dielectrics Kock was able to see that any value for permittivity and permeability, arbitrarily large or small, can be achieved, and that this included the possibility of negative values for these parameters. The optical properties of the medium depended solely on the particles’ geometrical shape and spacing, rather than on their own intrinsic behavior. His work also anticipated the split-ring resonator, a fabricated periodic structure that is a common workhorse for metamaterials. ^[34]

Kock, however, did not investigate the simultaneous occurrence of negative values of ε and μ, which has become one of the first achievements defining modern metamaterials. This was because research in artificial materials was oriented toward other goals, such as creating plasma media at RF or microwave frequencies related to the overarching needs of NASA and the space program at that time. ^{[34] [35]}

Walter Rotman and R.F. Turner advanced microwave beam shaping systems with a lens that has three perfect focal points; two symmetrically located off-axis and one on-axis. They published the design equations for the improved straight-front-face lens, the evaluation of its phase control capabilities, scanning capabilities, and the demonstrated fabrication techniques applicable to this type of design. ^[31] Rotman invented other periodic structures that include many types of surface wave antennas: the trough waveguide, the channel waveguide, and the sandwich wire antenna. ^[36]

Photonic structures

Main article: Photonic crystal

"At frequencies of a few hundred gigahertz and lower, electrons are the principle particles which serve as the workhorse of devices. On the other hand, at infrared through optical to ultraviolet wavelengths, the photon is the fundamental particle of choice." ^[37] The word 'photonics' appeared in the late 1960s to describe a research field whose goal was to use light to perform functions that traditionally fell within the typical domain of electronics, such as telecommunications, information processing, among other processes. ^[38] The term photonics more specifically connotes:

• The particle properties of light,
• The potential of creating signal processing device technologies using photons,
• The practical application of optics, and
• An analogy to electronics. ^[38]

Hence, as photonic materials are used, the photons, rather than electrons, become the fundamental carriers of information. Furthermore, the photon appears to be a more efficient carrier of information, and materials that can process photonic signals are both in use and in further development. Additionally, developing photonic materials will lead to further miniaturization of components. ^[38]

In 1987 Eli Yablonovitch proposed controlling spontaneous emissions and constructing physical zones in periodic dielectrics that forbid certain wavelengths of electromagnetic radiation. These capabilities would be built into three-dimensional periodic dielectric structures (artificial dielectric). He noted that controlling spontaneous emission is desirable for semiconductor processes. ^[39]

Exceptional phenomena

Invention of the metamaterial

Historically, and conventionally, the function or behavior of materials can be altered through their chemistry. This has long been known. For example, adding lead changes the color or hardness of glass. However, at the end of the 20th century this description was expanded by John Pendry, a physicist from Imperial College in London. ^[40] In the 1990s he was consulting for a British company, Marconi Materials Technology, as a condensed matter physics expert. The company manufactured a stealth technology made of a radiation-absorbing carbon that was for naval vessels. However, the company did not understand the physics of the material. The company asked Pendry if he could understand how the material worked. ^[40]

Pendry discovered that the radiation absorption property did not come from the molecular or chemical structure of the material, i.e. the carbon per se. This property came from the long and thin, physical shape of the carbon fibers. He realized rather than conventionally altering a material through its chemistry, as lead does with glass, the behavior of a material can be altered by changing a material's internal structure on a very fine scale. The very fine scale was less than the wavelength of the electromagnetic radiation that is applied. The theory applies across the electromagnetic spectrum that is in use by today's technologies. The radiations of interest are from radio waves, and microwaves, through infrared to the visible wavelengths. ^{[40] [41]} Scientists view this material as "beyond" conventional materials. Hence, the Greek word "meta" was attached, and these are called metamaterials. ^[40]

After successfully deducing and realizing the carbon fiber structure, Pendry further proposed that he try to change the magnetic properties of a non-magnetic material, also by altering its physical structure. The material would not be intrinsically magnetic, nor inherently susceptible to being magnetized. Copper wire is such a non-magnetic material. He envisioned fabricating a non-magnetic composite material, which could mimic the movements of electrons orbiting atoms. However, the structures are fabricated on a scale that is magnitudes larger than the atom, yet smaller than the radiated wavelength.

He envisioned and hypothesized miniature loops of copper wire set in a fiberglass substrate could mimic the action of electrons but on a larger scale. Furthermore, this composite material could act like a slab of iron. In addition, he deduced that a current run through the loops of wire results in a magnetic response. ^[40]

This metamaterial idea resulted in variations. Cutting the loops results in a magnetic resonator, which acts like a switch. The switch, in turn, would allow Pendry to determine or alter the magnetic properties of the material simply by choice. At the time, Pendry didn't realize the significance of the two materials he had engineered. By combining the electrical properties of Marconi's radar-absorbing material with his new man-made magnetic material he had unwittingly placed in his hands a new way to manipulate electromagnetic radiation. In 1999, Pendry published his new conception of artificially produced magnetic materials in a notable physics journal. This was read by scientists all over the world, and it "stoked their imagination". ^{[40] [42]}

Negative refractive index

In 1967, Victor Veselago produced an often cited, seminal work on a theoretical material that could produce extraordinary effects that are difficult or impossible to produce in nature. At that time he proposed that a reversal of Snell's law, an extraordinary lens, and other exceptional phenomena can occur within the laws of physics. This theory lay dormant for a few decades. There were no materials available in nature, or otherwise, that could physically realize Veselago's analysis. ^{[6] [15] [43]} Not until thirty-three years later did the properties of this material, a metamaterial, became a subdiscipline of physics and engineering.

However, there were certain observations, demonstrations, and implementations that closely preceded this work. Permittivity of metals, with values that could be stretched from the positive to the negative domain, had been studied extensively. In other words, negative permittivity was a known phenomenon by the time the first metamaterial was produced. Contemporaries of Kock were involved in this type of research. The concentrated effort was led by the US government for researching interactions between the ionosphere and the re-entry of NASA space vehicles.

In the 1990s, Pendry et al. developed sequentially repeating thin wire structures, analogous to crystal structures. These extended the range of material permittivity. However, a more revolutionary structure developed by Pendry et al. was a structure that could control magnetic interactions (permeability) of the radiated light, albeit only at microwave frequencies. This sequentially repeating, split ring structure, extended material magnetic parameters into the negative. This lattice or periodic, "magnetic" structure was constructed from non-magnetic components.

Hence, in electromagnetic domain, a negative value for permittivity and permeability occurring simultaneously was a requirement to produce the first metamaterials. These were beginning steps for proof of principle regarding Veselago's original 1967 proposal.

In 2000, a team of UCSD researchers produced and demonstrated metamaterials, which exhibited unusual physical properties that were never before produced in nature. These materials obey the laws of physics, but behave differently from normal materials. In essence these negative index metamaterials were noted for having the ability to reverse many of the physical properties that govern the behavior of ordinary optical materials. One of those unusual properties is the capability to reverse, for the first time, the Snell's law of refraction. Until this May 2000 demonstration by the UCSD team, the material was unavailable. Advances during the 1990s in fabrication and computation capabilities allowed these first metamaterials to be constructed. Thus, testing the "new" metamaterial began for the effects described by Victor Veselago 30 years earlier, but only at first in the microwave frequency domain. Reversal of group velocity was explicitly announced in the related published paper. ^{[note 1] [44] [45] [6]}

The super lens

The super lens or superlens is a practical structure based on John Pendry's work describing a perfect lens that can go beyond the diffraction limit by focusing all four fourier components. Pendry's paper described a theoretical novel lens that could capture images below the diffraction limit by employing the negative refractive index behavior. The super lens is a practical realization of this theory. It is a working lens that can capture images below the diffraction limit even though limitations occur due to the inefficiencies of conventional materials. This means that although there are losses, enough of an image is returned to show this work was a successful demonstration. ^[46]

Invisibility cloak

Ulf Leonhardt was born in East Germany, and presently occupies the theoretical physics chair at the University of St. Andrews in Scotland, and is considered one the leaders in the science of creating an invisibility cloak. Around 1999, Leonhardt began work on how to build a cloaking device with a few other colleagues. Leonhardt stated that at the time invisibility was not considered fashionable. He then wrote a theoretical study entitled "Optical Conformal Mapping". The first sentence sums up the objective: "An invisibility device should guide light around an object as if nothing were there."^{[ dubious ]}

In 2005, he sent the paper to three notable scientific journals, Nature, Nature Physics, and Science. Each journal, in turn, rejected the paper. In 2006, Physical Review Letters rejected the paper for publication, as well. However, according to the PRL assessment, one of the anonymous reviewers noted that (he or she ) had been to two meetings in the previous months with John Pendry's group, who were also working on a cloaking device. From the meetings, the reviewer also became aware of a patent that Pendry and his colleagues were supposed to file. Leonhardt was at the time unaware of the Pendry group's work. Because of the Pendry meetings, Leonhardt's work was not really considered new physics by the reviewer and, therefore, did not merit publication in Physical Review Letters.^{[ dubious ]}

Later in 2006, Science (the journal) reversed its decision and contacted Leonhardt to publish his paper because it had just received a theoretical study from Pendry's team entitled "Controlling Electromagnetic Fields". Science considered both papers strikingly similar and published them both in the same issue of Science Express on May 25, 2006. The published papers touched off research efforts by a dozen groups to build cloaking devices at locations around the globe, which would test out the mathematics of both papers.^{[ dubious ] [47]}

Only months after the submission of notable invisibility cloak theories, a practical device was built and demonstrated by David Schurig and David Smith, engineering researchers of Duke University (October 2006). It was limited to the microwave range so the object was not invisible to the human eye. However, it demonstrated proof of principle. ^[48]

Transformation optics

The original theoretical papers on cloaking opened a new science discipline called transformation optics. ^{[49] [50]}

See also

• Metamaterial cloaking
• Acoustic metamaterials
• Quantum metamaterials
• Photonic metamaterials
• Nonlinear metamaterials
• Seismic metamaterials
• Metamaterial absorber
• Plasmonic metamaterials
• Terahertz metamaterials
• Tunable metamaterials
• Split-ring resonator
• Theories of cloaking

Notes

1. Smith, D.R.; Padilla, Willie; Vier, D.; Nemat-Nasser, S.; Schultz, S. (2000). "Composite Medium with Simultaneously Negative Permeability and Permittivity". Physical Review Letters . 84 (18): 4184–87. Bibcode:2000PhRvL..84.4184S. doi: 10.1103/PhysRevLett.84.4184 . PMID   10990641.

References

1. Ramsay, John (1958). "Microondas antena de guía de ondas y técnicas antes de 1900". Proceedings of the IRE (Abstracto). 46 (2): 405. doi:10.1109/JRPROC.1958.286869. ISSN   0096-8390. S2CID   51663713.
2. Ikonen, Pekka. "Artificial Dielectrics and Magnetics in Microwave Engineering: A Brief Historical Revisit" (PDF). Helsinki University of Technology. Archived from the original (PDF) on July 27, 2011. Retrieved February 28, 2011.{{cite journal}}: Cite journal requires |journal= (help)
   • The estimated year of publication (based on this article's references) is 2005.
   • Quote from abstract: "The number of proposals for practical microwave and optical applications benefiting from the properties of [novel materials] is increasing rapidly. However, the utilization of artificial materials in microwave engineering is not a new concept. The purpose of this short report is to revisit some of the most important early contributions that have led to the utilization of artificial dielectrics and magnetics in microwave applications."
3. Engheta, Nader; Richard W. Ziolkowski (June 2006). Metamaterials: physics and engineering explorations. Wiley & Sons. pp. 5, Chap 1. ISBN   978-0-471-76102-0.
4. Shalaev, V. M.; Cai, W.; Chettiar, U. K.; Yuan, H.-K.; Sarychev, A. K.; Drachev, V. P.; Kildishev, A. V. (2005). "Negative index of refraction in optical metamaterials" (PDF). Optics Letters . 30 (24): 3356–8. arXiv: physics/0504091 . Bibcode:2005OptL...30.3356S. doi:10.1364/OL.30.003356. PMID   16389830. S2CID   14917741.
5. Zhang, Shuang; Fan, Wenjun; Panoiu, N. C.; Malloy, K. J.; Osgood, R. M.; Brueck, S. R. J. (2005). "Experimental Demonstration of Near-Infrared Negative-Index Metamaterials" (PDF). Phys. Rev. Lett. 95 (13): 137404. arXiv: physics/0504208 . Bibcode:2005PhRvL..95m7404Z. doi:10.1103/PhysRevLett.95.137404. PMID   16197179. S2CID   15246675.
6. Summary of milestones in metamaterial research. There is also a list of peer reviewed articles pertaining to the research achievements of the Smith Group. "Professor David R. Smith, Publications". The electromagnetic properties of artificially structured materials. Duke University – Meta Group. July 13, 2009. Retrieved February 28, 2011.
7. Anatomy of an Electromagnetic Wave. Mission Science. NASA. Public domain material copied from NASA website Archived 2013-05-27 at the Wayback Machine . Accessdate 2013-05-23.
8. Klar, Thomas A.; Kildishev, Alexander V.; Drachev, Vladimir P.; Shalaev, Vladimir M. (2006). "Negative-Index Metamaterials: Going Optical". IEEE Journal of Selected Topics in Quantum Electronics. 12 (6): 1106. arXiv: physics/0605228 . Bibcode:2006IJSTQ..12.1106K. doi:10.1109/JSTQE.2006.880597. S2CID   42244982.
9. Marklund, Mattias; Shukla, Padma K.; Stenflo, Lennart; Brodin, Gert (2005). "Solitons and decoherence in left-handed metamaterials". Physics Letters A. 341 (1–4): 231–234. arXiv: cond-mat/0503648 . Bibcode:2005PhLA..341..231M. doi:10.1016/j.physleta.2005.04.068. S2CID   119480421. (PDF is self-published version.)
10. He is often credited with inventing the modern day electromagnetic metamaterials as a result of his seminal 1967/68 report. Pendry, John B.; Smith, David R. (2004). "Reversing Light with Negative Refraction" (PDF). Physics Today. 57 (6): 37. Bibcode:2004PhT....57f..37P. doi:10.1063/1.1784272. Archived from the original (PDF) on June 7, 2011.
11. Slyusar V.I. Metamaterials on antenna solutions.// 7th International Conference on Antenna Theory and Techniques ICATT’09, Lviv, Ukraine, October 6–9, 2009. pp. 19–24
12. Early wave studies
    • [1] H. Lamb, "On group-velocity," Proc. Lond. Math. Soc., vol. 1, pp. 473–79, 1904.
    • [2] A. Schuster, An Introduction to the Theory of Optics. pp. 313–18; London: Edward Arnold, 1904. Archived in public domain and the online full text is linked to the Internet Archive. The Public domain full Text 1909 edition is here
    • [3] L.I. Mandel'shtam, "Group velocity in a crystal lattice", Zh. Eksp. Teor. Fiz., Vol. 15 (1945), pp. 475–78
    • [4] L.I. Mandelstam, The 4th Lecture of L.I. Mandelstam given at Moscow State University (05/05/1944), Collection of Scientific Works, Vol. 2 (1994) Nauka, Moscow (in Russian).
    • [5] V.E. Pafomov, Sov. Phys. JETP 36 1321 (1959). "Transition radiation and Cerenkenov radiation"
    • [6] V.G. Veselago, "The electrodynamics of substances with simultaneously negative values of ε and μ," Soviet Physics Uspekhi, vol. 10, no. 4, pp. 509–14, January–February 1968
13. Kourakis, I; Shukla, P.K. (2006). "Magnetization of left-handed metamaterials". Physica Scripta. 74 (4): 422. Bibcode:2006PhyS...74..422K. doi:10.1088/0031-8949/74/4/003. S2CID   55993420.
14. H.C. Pocklington, "Growth of a Wave-group when the Group-velocity is Negative" Nature 71, 607–08 (27 April 1905) doi=10.1038/071607b0
15. Veselago, V.G. (1968). "The electrodynamics of substances with simultaneously negative values of [permittivity] and [permeability]". Soviet Physics Uspekhi. 10 (4): 509–14. Bibcode:1968SvPhU..10..509V. doi:10.1070/PU1968v010n04ABEH003699.
16. Shalaev, V.M. "Optical negative-index metamaterials," Nature Photonics Vol. 1, 41–48 (2007) Shalaev, Vladimir M. (2007). "Optical negative-index metamaterials". Nature Photonics. 1 (1): 41. Bibcode:2007NaPho...1...41S. doi:10.1038/nphoton.2006.49. S2CID   170678. Novel materials and engineered structures
17. "Electromagnetism, Maxwell's Equations, and Microwaves". IEEE History Center. 2011. Retrieved 2011-06-20.
18. Nahin, P.J. (1992). "Maxwell's grand unification". IEEE Spectrum. 29 (3): 45. doi:10.1109/6.123329. S2CID   28991366.
19. Emerson, D.T. (December 1997). "The work of Jagadis Chandra Bose: 100 years of millimeter-wave research". IEEE Transactions on Microwave Theory and Techniques. 45 (12): 2267. Bibcode:1997ITMTT..45.2267E. doi:10.1109/22.643830. A facility of the NSF provides added material to the original paper – The work of Jagadish Chandra Bose: 100 years of millimeter wave research.
20. Bose, Jagadish Chunder (1898-01-01). "On the Rotation of Plane of Polarisation of Electric Waves by a Twisted Structure". Proceedings of the Royal Society. 63 (389–400): 146–152. Bibcode:1898RSPS...63..146C. doi:10.1098/rspl.1898.0019. S2CID   89292757.
21. Emerson, D.T. (1997). "The work of Jagadis Chandra Bose: 100 years of mm-wave research". 1997 IEEE MTT-S International Microwave Symposium Digest. Vol. 2. pp. 553–556. Bibcode:1997imsd.conf..553E. doi:10.1109/MWSYM.1997.602853. ISBN   0-7803-3814-6. Microwave Symposium Digest. 1997. IEEE MTT-S International. Issue Date: 8–13 June 1997. pp. 553–556 ISBN   0-7803-3814-6.
    • This paper appears in Emerson, D.T. (1997). "The work of Jagadis Chandra Bose: 100 years of millimeter-wave research". IEEE Transactions on Microwave Theory and Techniques. 45 (12): 2267. Bibcode:1997ITMTT..45.2267E. doi:10.1109/22.643830.
    • Wegener, Martin; Zheludev, Nikolay I. (2009). "Artificial chiral materials". Journal of Optics A: Pure and Applied Optics. 11 (7): 070201. Bibcode:2009JOptA..11g0201W. doi:10.1088/1464-4258/11/7/070201. S2CID   119434873.
    • "Jagadish Chandra Bose" . Retrieved February 23, 2011.
22. Bose's horn operated in the millimetre wave range Archived 2013-09-27 at the Wayback Machine . IN Compliance. Magazine article. November 2010.
23. Bose, Jagadis Chunder (1898). "On the Rotation of Plane of Polarisation of Electric Waves by a Twisted Structure". Proceedings of the Royal Society. 63 (389–400): 146–152. Bibcode:1898RSPS...63..146C. doi:10.1098/rspl.1898.0019. JSTOR   115973. S2CID   89292757.
24. Jaggard, D.L.; Mickelson, A.R.; Papas, C.H. (1979). "On electromagnetic waves in chiral media". Applied Physics. 18 (2): 211. Bibcode:1979ApPhy..18..211J. doi:10.1007/BF00934418. S2CID   121545691. Archived from the original on September 27, 2017.
25. (see abstract)Elezzabi, A.Y.; Sederberg, S. (2009). "Optical activity in an artificial chiral media: A terahertz time-domain investigation of Karl F. Lindman's 1920 pioneering experiment". Optics Express. 17 (8): 6600–12. Bibcode:2009OExpr..17.6600E. doi: 10.1364/OE.17.006600 . PMID   19365486.
26. Lindell, Ismo V.; Sihvola, Ari H.; Kurkijarvi, Juhani (July 1992). "Karl F. Lindman: The last Hertzian, and a harbinger of electromagnetic chirality". IEEE Antennas and Propagation Magazine. 34 (3): 24–30. Bibcode:1992IAPM...34...24L. doi:10.1109/74.153530. S2CID   45783279. The research career of Karl F. Lindman, who has widely been referred to as being the first to demonstrate the effect of a chiral medium on electromagnetic waves, is described. During the first half of this century, Lindman completed an extensive research career, using essentially the same methods as Heinrich Hertz did in his time. His work is reviewed, focusing on his chirality studies.
27. Eleftheriades, George V.; Balmain, Keith G. (July 2005). Negative-refraction metamaterials: fundamental principles and applications. Wiley-IEEE Press. pp. v, xiii, xiv, 4–7, 12, 46–48, 53. ISBN   978-0-471-60146-3.
28. Wenshan, Cai; Shalaev, Vladimir (November 2009). Optical Metamaterials: Fundamentals and Applications. Springer. pp. xi, 3, 8–9, 59, 74. ISBN   978-1-4419-1150-6.
29. Eleftheriades, George V. (2009). "EM Transmission-line Metamaterials" (free access). Materials Today. 12 (3): 30–41. doi: 10.1016/S1369-7021(09)70073-2 . ...In this article, we review the fundamentals of metamaterials with emphasis on negative-refractive-index ones, which are synthesized using loaded transmission lines. A number of applications of such metamaterials are discussed, including peculiar lenses that can overcome the diffraction limit and small antennas for emerging wireless communication applications.
30. Kock, Winston (August 1949). "Path-Length Microwave Lenses". Proceedings of the Institute of Radio Engineers . 37 (8): 852–55. doi:10.1109/JRPROC.1949.229682. S2CID   51640040. Lens antennas for microwave applications are described which produce a focusing effect by physically increasing the path lengths, compared to free space, of radio waves passing through the lens. This is accomplished by means of baffle plates which extend parallel to the magnetic vector, and which are either tilted or bent into serpentine shape so as to force the waves to travel the longer-inclined or serpentine path. The three-dimensional contour of the plate array is shaped to correspond to a convex lens. The advantages over previous metallic lenses are: broader band performance, greater simplicity, and less severe tolerances.
31. Rotman, W.; Turner, R. (1963). "Wide-angle microwave lens for line source applications" (PDF). IEEE Transactions on Antennas and Propagation. 11 (6): 623. Bibcode:1963ITAP...11..623R. doi:10.1109/TAP.1963.1138114. Archived from the original (PDF) on June 29, 2011..
    • This section has public domain material obtained from the United States Air Force.
32. Jones, S.S.D.; Brown, J. (1949-02-26). "Metallic Delay Lenses". Nature. 163 (4139): 324–25. Bibcode:1949Natur.163..324J. doi:10.1038/163324a0. S2CID   4064331. An experimental study of the metallic delay lens described by Kock has been made in this Establishment, using a lens constructed of parallel strips as in Fig. 1, the E vector being normal to the line of the strips. The dimensions were such that Kock's formula for refractive index where s is width of strips and N is number of strips per unit area viewed end on, gave the value 1A x 41 for n. The predicted cut-off wave-length was 1A x 8 cm.
33. Silver, Samuel (1986). Microwave antenna theory and design. Institution of Engineering and Technology (IET). p. 406. ISBN   978-0-86341-017-8.
    • This page contains the following citations:
      • W.E. Kock, "Metal Plate Lenses for Microwaves", Bell Telephone Lab Report MM-45-160-23, March 1945.
      • W.E. Kock, "Wire Lens Antennas", BTL Report MM-44-160-100, April 1944
    • This book was first published in 1949 by McGraw-Hill Book Company Inc.
    • This section pertains to (1) Wire lenses (2) parallel-wire lens (3) wire-mesh lens and the images are "Courtesy of the Bell Telephone Laboratory."
34. "Negative Refractive Index Metamaterials" (Note: history of metamaterials). The University of Surrey. 2003-10-20. Retrieved 2010-03-14.
35. In one journal, entitled Proceedings of the IRE (see ref below), Kock describes a new type of antenna applying the optical properties of Radio waves. It is in fact a metallic lens, which focuses electromagnetic waves "...from short waves up to wavelengths of perhaps five meters or more."
    • Kock, W. E. (1946). "Metal-Lens Antennas". IRE Proc. 34 (11): 828–36. doi:10.1109/JRPROC.1946.232264. S2CID   51658054.
    • Kock, W.E. (1948). "Metallic Delay Lenses". Bell Syst. Tech. J. 27: 58–82. doi:10.1002/j.1538-7305.1948.tb01331.x.
    • Kock, W.E. (1946). Bell Syst. Tech. J. 34: 828–836.{{cite journal}}: Missing or empty |title= (help)
    • Kock, Winston E. and Harvey, F.K.

      Kock, Winston E. (1949). "Refracting Sound Waves". The Journal of the Acoustical Society of America. 21 (5): 471–81. Bibcode:1949ASAJ...21..471K. doi: 10.1121/1.1906536 . Structures are described which refract and focus sound waves. They are similar in principle to certain recently developed electromagnetic wave lenses in that they consist of arrays of obstacles which are small compared to the wave-length. These obstacles increase the effective density of the medium and thus effect a reduced propagation velocity of sound waves passing through the array. This reduced velocity is synonymous with refractive power so that lenses and prisms can be designed...

36. The sandwich wire antenna, asymmetrical trough waveguide antenna
    • Rotman, W.; Karas, N. (1957). "The sandwich wire antenna: A new type of microwave line source radiator". IRE International Convention Record. Vol. 5. p. 166. doi:10.1109/IRECON.1957.1150572.
    • W. Rotman; N. Karas (August 1965). "The Sandwich Wire Antenna". Microwave Journal. 2: 29–33.
    • Rotman, W.; Oliner, A. (1959). "Asymmetrical trough waveguide antennas". IRE Transactions on Antennas and Propagation. 7 (2): 153. Bibcode:1959ITAP....7..153R. doi:10.1109/TAP.1959.1144652.
    • Rotman, Walter (1949). "The channel guide antenna". Proc. Natl. Electronics Conf. 5: 190–.
37. Tao, Hu; Landy, Nathan I.; Bingham, Christopher M.; Zhang, Xin; Averitt, Richard D.; Padilla, Willie J. (2008). "A metamaterial absorber for the terahertz regime: Design, fabrication and characterization" (PDF). Optics Express. 16 (10): 7181–88. arXiv: 0803.1646 . Bibcode:2008OExpr..16.7181T. doi:10.1364/OE.16.007181. PMID   18545422. S2CID   15714828. Archived from the original (PDF) on June 29, 2010. Retrieved 2013-05-22.
38. Taton, T. Andrew; Norris, David J. (2002). "Device physics: Defective promise in photonics" (PDF). Nature. 416 (6882): 685–86. Bibcode:2002Natur.416..685T. doi:10.1038/416685a. PMID   11961534. S2CID   4413219. Archived from the original (PDF) on August 14, 2011.
39. Yablonovitch, Eli (1987). "Inhibited Spontaneous Emission in Solid-State Physics and Electronics" (PDF). Physical Review Letters. 58 (20): 2059–62. Bibcode:1987PhRvL..58.2059Y. doi: 10.1103/PhysRevLett.58.2059 . PMID   10034639.
40. Hapgood, Fred; Grant, Andrew (April 2009). "Metamaterial Revolution: The New Science of Making Anything Disappear". Discover . Archived from the original on 2019-03-31. Retrieved 2010-03-05.
41. Pendry, J.B.; Holden, A.J.; Stewart, W.J.; Youngs, I. (1996). "Extremely Low Frequency Plasmons in Metallic Microstructures" (PDF). Phys. Rev. Lett. 76 (25): 4773–76. Bibcode:1996PhRvL..76.4773P. doi:10.1103/PhysRevLett.76.4773. PMID   10061377. Archived from the original (PDF) on 2011-07-17. Retrieved 2012-01-31.
42. Pendry, John B.; A.J. Holden; D.J. Robbins; W.J. Stewart (1999). "Magnetism from Conductors, and Enhanced Non-Linear Phenomena" (PDF). IEEE Trans. Microw. Theory Tech. 47 (11): 2075–84. Bibcode:1999ITMTT..47.2075P. CiteSeerX   10.1.1.564.7060 . doi:10.1109/22.798002. Archived from the original (PDF) on 2011-07-17. Retrieved 2010-06-01. PDF copy Archived July 7, 2011, at the Wayback Machine
43. Ward, David W.; Nelson, Keith A.; Webb, Kevin J. (2005). "On the physical origins of the negative index of refraction". New Journal of Physics. 7 (213): 213. arXiv: physics/0409083 . Bibcode:2005NJPh....7..213W. doi:10.1088/1367-2630/7/1/213. S2CID   119434811.
44. McDonald, Kim (2000-03-21). "UCSD Physicists Develop a New Class of Composite Material with 'Reverse' Physical Properties Never Before Seen". UCSD Science and Engineering. Retrieved 2010-12-17.
45. Program contact: Carmen Huber (2000-03-21). "Physicist Produce Left Handed Composite Material". National Science Foundation . Retrieved 2009-07-10.
46. Fang, N.; Lee, H.; Sun, C.; Zhang, X. (2005). "Sub-Diffraction-Limited Optical Imaging with a Silver Superlens" (Free PDF download-scroll down 1/2 page). Science. 308 (5721): 534–37. Bibcode:2005Sci...308..534F. doi:10.1126/science.1108759. PMID   15845849. S2CID   1085807.^{[ dead link ]}
47. "Extending the Art of Concealment". Science. 312 (5781): 1712a. 2006. doi:10.1126/science.312.5781.1712a. S2CID   220095953.
    • Two theoretical studies appeared strikingly similar to the academic journal Science|
48. Minkel, J.R. (2006-10-19). "Invisibility Cloak Sees Light of Day". Scientific American (magazine). online. Retrieved 2010-04-20.
49. Shalaev, V.M. (October 2008). "Physics. Transforming light" (Free PDF download). Science. 322 (5900): 384–86. doi:10.1126/science.1166079. PMID   18927379. S2CID   206516379.
50. Pendry, J.B.; Schurig, D.; Smith, D.R. (2006). "Controlling Electromagnetic Fields" (PDF). Science. 312 (5781): 1780–1782. Bibcode:2006Sci...312.1780P. doi:10.1126/science.1125907. PMID   16728597. S2CID   7967675.

Further reading and general references

• Rotman, W.; Turner, R. (1963). "Wide-angle microwave lens for line source applications" (PDF). IEEE Transactions on Antennas and Propagation. 11 (6): 623. Bibcode:1963ITAP...11..623R. doi:10.1109/TAP.1963.1138114. Archived from the original (PDF) on October 8, 2012.

• Shamonina, E.; Solymar, L. (February 8, 2007). "Metamaterials: How the subject started" (PDF). Metamaterials . 01 (1): 12–18. Bibcode:2007MetaM...1...12S. doi:10.1016/j.metmat.2007.02.001. Archived from the original (PDF) on July 23, 2010. Retrieved 2010-07-18.
• Sihvola, Ari (February 12, 2007). "Metamaterials in electromagnetics" (PDF). Metamaterials . 01 (1): 2–11. Bibcode:2007MetaM...1....2S. doi:10.1016/j.metmat.2007.02.003 . Retrieved 2010-07-18.

• Ziolkowski, Richard W. (September 2006). "Metamaterial-Based Antennas: Research and Developments" (PDF). IEICE Transactions on Electronics. E89-C (9): 1267–1275. doi:10.1093/ietele/e89-c.9.1267 . Retrieved February 6, 2011.

• Boltasseva, Alexandra; Vladimir M. Shalaev (March 18, 2008). "Fabrication of optical negative-index metamaterials" (PDF). Metamaterials . 2 (1): 1–17. Bibcode:2008MetaM...2....1B. doi:10.1016/j.metmat.2008.03.004 . Retrieved 2010-07-18.

• Zahn, Markus (instructor). "An artificial dielectric". Course title: MIT 6.013 Electromagnetics and Applications, Fall 20. from Massachusetts Institute of Technology . Retrieved February 28, 2011.

• Wade, Paul. "Metal Plate Lens Antennas" (PDF). Chapter 3. Retrieved February 28, 2011. Description of building a mobile metal plate antenna.

• Invited paper: Engheta, N. (2003). "Metamaterials with negative permittivity and permeability: background, salient features, and new trends" (PDF). Microwave Symposium Digest, 2003 IEEE MTT-S International. Vol. 1. Vol. 1. p. 187. doi:10.1109/MWSYM.2003.1210912. ISBN   0-7803-7695-1. Archived from the original (PDF) on August 21, 2011.
• Johri, Manoj; Harihar Paudyal (May 2010). "Left Handed Materials: a new Pardigm in Structured Electromagnetics" (PDF). Trieste, Italy.: produced by ICTP, UNESCO, and the IAEA. pp. 1–12. IC/2010/015. Retrieved 2011-05-03. – Technical review of metamterials research.

• Kaku, Michio (April 2008). "Invisibility …". Natural History Magazine. Retrieved February 28, 2011.
• Slyusar V.I. Metamaterials on antenna solutions.// 7th International Conference on Antenna Theory and Techniques ICATT’09, Lviv, Ukraine, October 6–9, 2009. - pp. 19 – 24

External links

• "Microwave cloaking". New York Times. June 12, 2007.