Axicon

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Diagram of Axicon and resulting Bessel Beam Bessel beam.svg
Diagram of Axicon and resulting Bessel Beam

An axicon is a specialized type of lens which has a conical surface. An axicon transforms a laser beam into a ring shaped distribution. [1] They can be convex or concave and be made of any optical material. The combination with other axicons or lenses allows a wide variety of beam patterns to be generated. It can be used to turn a Gaussian beam into a non-diffractive Bessel-like beam. [2] Axicons were first proposed in 1954 by John McLeod. [3]

Contents

Axicons are used in atomic traps and for generating plasma in wakefield accelerators. [4] They are used in eye surgery in cases where a ring-shaped spot is useful.

The Axicon is usually characterized by the ratio of the diameter of the ring to the distance from the lens tip to image plane d/l.

Special features and Bessel beam shaping

Single axicons are usually used to generate an annular light distribution which is laterally constant along the optical axis over a certain range. This special feature results from the generation of (non-diffracting) Bessel-like beams with properties mainly determined by the Axicon angle α.

Creation of Bessel beams through an axicon Erzeugen von Besselstrahlen durch ein Axicon.png
Creation of Bessel beams through an axicon

There are two areas of interest for a variety of applications: a long range with an almost constant intensity distribution (a) and a ring-shaped distant field intensity distribution (b). The distance (a) depends on the angle α of the Axicon and the diameter (ØEP) of the incident beam. The diameter of the annular distant field intensity distribution (b) is proportional to the length l. The width of the ring is about half the diameter of the incident beam. [5]

Applications

One application of axicons is in telescopes, where the usual spherical objective is replaced by an axicon. [3] Such a telescope can be simultaneously in focus for targets at distances from less than a meter to infinity, without making any adjustments. It can be used to simultaneously view two or more small sources placed along the line of sight.

Axicons can be used in laser eye surgery. Their ability to focus a laser beam into a ring is useful in surgery for smoothing and ablating corneal tissue. Using a combination of positive and negative axicons, the diameter of the ring of light can be adjusted to obtain the best performance. [6]

Axicons are also used in optical trapping. [6] The ring of light creates attractive and repulsive forces which can trap and hold microparticles and cells in the center of the ring.

Other

Reflaxicons

The reflective axicon or "reflaxicon" was described in 1973 by W. R. Edmonds. [7] The reflaxicon uses a pair of coaxial, conical reflecting surfaces to duplicate the functionality of the transmissive axicon. The use of reflection rather than transmission improves the damage threshold, chromatic aberration, and group velocity dispersion compared to conventional axicons.

Research

In research at Physikalisch-Chemisches-Institut, Heidelberg, Germany, axicon lenses have been used in laser diagnostics of mechanical properties of thin films and solids by surface-wave spectroscopy. [3] In these experiments, laser radiation is focused on the surfaces in a concentric ring. The laser pulse generates concentric surface acoustic waves, with amplitude that reaches a maximum in the center of the ring. This approach makes it possible to study mechanical properties of materials under extreme conditions.

Axicons have been used by the research team at Beckman Laser Institute and Medical Clinic to focus a parallel beam into a beam with long focus depth and a highly confined lateral spot, to develop a novel optical coherence tomography (OCT) system. [3]

Inphase Technologies researchers use axicons in holographic data storage. Their goal is to determine the effects of axicons on the Fourier distribution of random binary data spectrum of a spatial light modulator (SLM).

Wendell T. Hill, III's research group at the University of Maryland is focused on creating elements of atom optics, such as beam splitters and beam switches, out of hollow laser beams. [3] These beams, made using axicons, provide an ideal optical trap to channel cold atoms.

An article published by the research team at St. Andrews University in the UK in the Sept. 12 issue of Nature describes axicon use in optical tweezers, which are commonly used for manipulating microscopic particles such as cells and colloids. [8] The tweezers use lasers with a Bessel beam profile produced by illuminating an axicon with a Gaussian beam, which can trap several particles along the beam's axis.

Related Research Articles

Optical tweezers are scientific instruments that use a highly focused laser beam to hold and move microscopic and sub-microscopic objects like atoms, nanoparticles and droplets, in a manner similar to tweezers. If the object is held in air or vacuum without additional support, it can be called optical levitation.

<span class="mw-page-title-main">Ti-sapphire laser</span>

Ti:sapphire lasers (also known as Ti:Al2O3 lasers, titanium-sapphire lasers, or Ti:sapphs) are tunable lasers which emit red and near-infrared light in the range from 650 to 1100 nanometers. These lasers are mainly used in scientific research because of their tunability and their ability to generate ultrashort pulses. Lasers based on Ti:sapphire were first constructed and invented in June 1982 by Peter Moulton at the MIT Lincoln Laboratory.

<span class="mw-page-title-main">Airy disk</span> Diffraction pattern in optics

In optics, the Airy disk and Airy pattern are descriptions of the best-focused spot of light that a perfect lens with a circular aperture can make, limited by the diffraction of light. The Airy disk is of importance in physics, optics, and astronomy.

<span class="mw-page-title-main">Tweezers</span> Tool for grabbing small objects

Tweezers are small hand tools used for grasping objects too small to be easily handled with the human fingers. Tweezers are thumb-driven forceps most likely derived from tongs used to grab or hold hot objects since the dawn of recorded history. In a scientific or medical context, they are normally referred to as just "forceps", a name that is used together with other grasping surgical instruments that resemble pliers, pincers and scissors-like clamps.

<span class="mw-page-title-main">Optical vortex</span> Optical phenomenon

An optical vortex is a zero of an optical field; a point of zero intensity. The term is also used to describe a beam of light that has such a zero in it. The study of these phenomena is known as singular optics.

In nonlinear optics, filament propagation is propagation of a beam of light through a medium without diffraction. This is possible because the Kerr effect causes an index of refraction change in the medium, resulting in self-focusing of the beam.

<span class="mw-page-title-main">Spatial filter</span>

A spatial filter is an optical device which uses the principles of Fourier optics to alter the structure of a beam of light or other electromagnetic radiation, typically coherent laser light. Spatial filtering is commonly used to "clean up" the output of lasers, removing aberrations in the beam due to imperfect, dirty, or damaged optics, or due to variations in the laser gain medium itself. This filtering can be applied to transmit a pure transverse mode from a multimode laser while blocking other modes emitted from the optical resonator. The term "filtering" indicates that the desirable structural features of the original source pass through the filter, while the undesirable features are blocked. An apparatus which follows the filter effectively sees a higher-quality but lower-powered image of the source, instead of the actual source directly. An example of the use of spatial filter can be seen in advanced setup of micro-Raman spectroscopy.

An optical waveguide is a physical structure that guides electromagnetic waves in the optical spectrum. Common types of optical waveguides include optical fiber waveguides, transparent dielectric waveguides made of plastic and glass, liquid light guides, and liquid waveguides.

A fiber laser is a laser in which the active gain medium is an optical fiber doped with rare-earth elements such as erbium, ytterbium, neodymium, dysprosium, praseodymium, thulium and holmium. They are related to doped fiber amplifiers, which provide light amplification without lasing. Fiber nonlinearities, such as stimulated Raman scattering or four-wave mixing can also provide gain and thus serve as gain media for a fiber laser.

<span class="mw-page-title-main">Vergence (optics)</span> Angle between converging or diverging light rays

In optics, vergence is the angle formed by rays of light that are not perfectly parallel to one another. Rays that move closer to the optical axis as they propagate are said to be converging, while rays that move away from the axis are diverging. These imaginary rays are always perpendicular to the wavefront of the light, thus the vergence of the light is directly related to the radii of curvature of the wavefronts. A convex lens or concave mirror will cause parallel rays to focus, converging toward a point. Beyond that focal point, the rays diverge. Conversely, a concave lens or convex mirror will cause parallel rays to diverge.

<span class="mw-page-title-main">Bessel beam</span> Non-diffractive wave

A Bessel beam is a wave whose amplitude is described by a Bessel function of the first kind. Electromagnetic, acoustic, gravitational, and matter waves can all be in the form of Bessel beams. A true Bessel beam is non-diffractive. This means that as it propagates, it does not diffract and spread out; this is in contrast to the usual behavior of light, which spreads out after being focused down to a small spot. Bessel beams are also self-healing, meaning that the beam can be partially obstructed at one point, but will re-form at a point further down the beam axis.

<span class="mw-page-title-main">Photoionization mode</span>

A photoionization mode is a mode of interaction between a laser beam and matter involving photoionization.

<span class="mw-page-title-main">Self-focusing</span>

Self-focusing is a non-linear optical process induced by the change in refractive index of materials exposed to intense electromagnetic radiation. A medium whose refractive index increases with the electric field intensity acts as a focusing lens for an electromagnetic wave characterized by an initial transverse intensity gradient, as in a laser beam. The peak intensity of the self-focused region keeps increasing as the wave travels through the medium, until defocusing effects or medium damage interrupt this process. Self-focusing of light was discovered by Gurgen Askaryan.

<span class="mw-page-title-main">Airy beam</span>

An Airy beam, is a propagation invariant wave whose main intensity lobe propagates along a curved parabolic trajectory while being resilient to perturbations (self-healing).

Speckle, speckle pattern, or speckle noise is a granular noise texture degrading the quality as a consequence of interference among wavefronts in coherent imaging systems, such as radar, synthetic aperture radar (SAR), medical ultrasound and optical coherence tomography. Speckle is not external noise; rather, it is an inherent fluctuation in diffuse reflections, because the scatterers are not identical for each cell, and the coherent illumination wave is highly sensitive to small variations in phase changes.

A flat lens is a lens whose flat shape allows it to provide distortion-free imaging, potentially with arbitrarily-large apertures. The term is also used to refer to other lenses that provide a negative index of refraction. Flat lenses require a refractive index close to −1 over a broad angular range. In recent years, flat lenses based on metasurfaces were also demonstrated.

<span class="mw-page-title-main">Laser beam quality</span>

In laser science, laser beam quality defines aspects of the beam illumination pattern and the merits of a particular laser beam's propagation and transformation properties. By observing and recording the beam pattern, for example, one can infer the spatial mode properties of the beam and whether or not the beam is being clipped by an obstruction; By focusing the laser beam with a lens and measuring the minimum spot size, the number of times diffraction limit or focusing quality can be computed.

<span class="mw-page-title-main">Diffractive beam splitter</span>

The diffractive beam splitter (also known as multispot beam generator or array beam generator) is a single optical element that divides an input beam into multiple output beams. Each output beam retains the same optical characteristics as the input beam, such as size, polarization and phase. A diffractive beam splitter can generate either a 1-dimensional beam array (1xN) or a 2-dimensional beam matrix (MxN), depending on the diffractive pattern on the element. The diffractive beam splitter is used with monochromatic light such as a laser beam, and is designed for a specific wavelength and angle of separation between output beams.

A common-path interferometer is a class of interferometers in which the reference beam and sample beams travel along the same path. Examples include the Sagnac interferometer, Zernike phase-contrast interferometer, and the point diffraction interferometer. A common-path interferometer is generally more robust to environmental vibrations than a "double-path interferometer" such as the Michelson interferometer or the Mach–Zehnder interferometer. Although travelling along the same path, the reference and sample beams may travel along opposite directions, or they may travel along the same direction but with the same or different polarization.

The Optical Stretcher is a dual-beam optical trap that is used for trapping and deforming ("stretching") micrometer-sized soft matter particles, such as biological cells in suspension. The forces used for trapping and deforming objects arise from photon momentum transfer on the surface of the objects, making the Optical Stretcher - unlike atomic force microscopy or micropipette aspiration - a tool for contact-free rheology measurements.

References

  1. 1 2 Mallik, Proteep (2005). "The Axicon" (PDF). University of Arizona College of Optical Sciences. Retrieved 12 December 2014.[ unreliable source? ]
  2. Garcés-Chávez, V.; McGloin, D.; Melville, H.; Sibbett, W.; Dholakia, K. (Sep 12, 2002). "Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam" (PDF). Nature. 419 (6903): 145–7. Bibcode:2002Natur.419..145G. doi:10.1038/nature01007. PMID   12226659. S2CID   4426776. Archived from the original (PDF) on September 19, 2006.
  3. 1 2 3 4 5 McLeod, John H. (1954). "The axicon: A new type of optical element". J. Opt. Soc. Am. 44 (8): 592. Bibcode:1954JOSA...44..592M. doi:10.1364/JOSA.44.000592.
  4. Green, S. Z.; Adli, E.; Clarke, C. I.; Corde, S.; Edstrom, S. A.; Fisher, A. S.; Frederico, J.; Frisch, J. C.; Gessner, S.; Gilevich, S.; Hering, P. (2014-07-22). "Laser ionized preformed plasma at FACET". Plasma Physics and Controlled Fusion. 56 (8): 084011. Bibcode:2014PPCF...56h4011G. doi: 10.1088/0741-3335/56/8/084011 . ISSN   0741-3335.
  5. "Various beam shaping applications utilizing axicons | asphericon". asphericon. 2017-04-26. Retrieved 2020-11-24.
  6. 1 2 "An In-Depth Look at Axicons". Edmund Optics Inc.
  7. Edmonds, W.R. (1973). "The Reflaxicon, a New Reflective Optical Element, and Some Applications". Applied Optics. 12 (8): 1940–5. Bibcode:1973ApOpt..12.1940E. doi:10.1364/AO.12.001940. PMID   20125635.
  8. "Axicon" (PDF). dmphotonics.com. Retrieved 18 January 2015.[ unreliable source? ]