Author | Max Born and Emil Wolf |
---|---|
Language | English |
Subject | Optics |
Publisher | Pergamon Press |
Publication date | 1959 (1st ed.) |
Publication place | United Kingdom |
Pages | 852 |
ISBN | 978-1-108-47743-7 Hardcover |
OCLC | 1129406200 |
535 | |
LC Class | QC351 |
All identifiers refer to the Seventh Anniversary Edition, published in 2019 by the Cambridge University Press with a foreword by Peter Knight |
Principles of Optics, colloquially known as Born and Wolf, is an optics textbook written by Max Born and Emil Wolf that was initially published in 1959 by Pergamon Press. [1] After going through six editions with Pergamon Press, the book was transferred to Cambridge University Press who issued an expanded seventh edition in 1999. [2] A 60th anniversary edition was published in 2019 with a foreword by Sir Peter Knight. [3] It is considered a classic science book and one of the most influential optics books of the twentieth century. [4]
In 1933, Springer published Max Born's book Optik, which dealt with all optical phenomena for which the methods of classical physics, and Maxwell's equations in particular, were applicable. In 1950, with encouragement from Sir Edward Appleton, the principal of Edinburgh University, Born decided to produce an updated version of Optik in English. He was partly motivated by the need to make money, as he had not been working long enough at Edinburgh to earn a decent pension, and at that time, was not entitled to any pension from his time working in Germany. [3] : 9 [5] : 293 [6] : 181
The first problem that Born had to tackle was that after the US joined the war in 1941, Optik had been reproduced and sold widely in the US, along with many other books and periodicals. This had been done under the aegis of the Office of Alien Property which was authorised to confiscate enemy property, so that neither the authors nor the publishers received any payment for these sales. When the war ended, the printing continued, still with no payment of royalties to authors or publishers. Born had been writing regularly to try and reclaim his book, pointing out that he was not an alien, as he had been a British citizen at the start of the war. He enlisted the support of various people and organisations, including the British Ambassador in Washington. In response, he got a letter saying that he would have to pay 2% of the retail price of any new book he wrote which was based on Optik. An article in the Manchester Guardian about how Jean Sibelius had been deprived of royalties in the same way, prompted him to write a letter describing his own situation. Eventually, his rights to the book were returned and he received backdated royalties. [3] : 9 [5] : 294
He quickly realised that the important developments in optics which had occurred in the years since the original book had been written would need to be covered. He approached Dennis Gabor, the inventor of holography to collaborate with him in writing the book. Emil Wolf, a research assistant at Cambridge University, was invited to write a chapter in the book. Gabor subsequently dropped out because of time constraints. Born and Wolf were then the main authors with specialist contributions from other authors. Wolf wrote several chapters and edited the other contributions; Born's input was a modified version of Optik and also collaboration with Wolf in the planning of the book, and many discussions concerning disputed points, presentation and so on. [2] : Preface to the 1st edition [3] : 9 [5] : 293
They hoped to complete the book by the end of 1951, but they were "much too optimistic". [7] : 10 The book was actually first published in December 1959.
Pergamon Press was a scientific publishing company which was set up in 1948 by Robert Maxwell and Paul Rosbaud. The latter had been a scientific advisor for Springer in Germany before and during the war and was one of the editors dealing with Optik. He was also an undercover agent for the Allies during the war. He persuaded the authors to place the book with Pergamon Press, a decision which they would later regret. [3] : 10 [5] : 295
A detailed account is given by Gustav Born, Max's son [8] He explains how the libel laws in the UK prevented him from speaking about this until after Maxwell's death.
Maxwell tried to get the authors to agree to a much lower rate of royalties for US sales than was agreed in their contract because the book was to be marketed by a different publisher which would mean reduced profits for Pergamon. It was then actually marketed through the US branch of Pergamon but the authors still received reduced royalties. They also found that the sales figures in their statements were lower than the true figures. A clause in the contract meant that they had to go to arbitration rather than go to court to resolve this. Gustav acted for his father in the matter as Max Born was now living in Germany and was in his late seventies. The case was heard by Desmond Ackner(later Lord Ackner) in 1962. He found in favour of the authors on all counts. Nonetheless, they continued to be underpaid. Opening figures in one year's statement did not agree with closing figures from the previous year's statement. Some editions were reprinted several times but did not appear in the accounts at all. After Born's death, Wolf found that an international edition was being distributed in the Far East which he had not been told about. Pergamon sent him a small cheque when he raised the matter with them. When he threatened them with legal action, they sent another cheque for three times the amount. Wolf said [2] : Preface to the seventh edition that the book was re-printed seventeen times (not counting unauthorized editions and translations).
Rosbaud left Pergamon Press in 1956 “because he found Maxwell to be completely dishonest”. Other authors told Gustav Born that they had had the same problems with Maxwell. They included Sir Henry Dale, who shared the Nobel prize in medicine in 1936 and Edward Appleton.
The book aimed to cover only those optical phenomena which can be derived from Maxwell's electromagnetic theory and is intended to give a complete picture of what was then known derived from Maxwell's equations. [2] : Preface to the first edition
Table of contents | ||
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Chapter | Title | |
I | Basic properties of the electromagnetic field | The properties of the electromagnetic field are described, and the way in which electromagnetic waves interact with matter is considered |
II | Electromagnetic potentials and polarization | When an external electromagnetic field interacts with a material object, each element of the object gives rise to secondary wavelets which combine to give the observed macroscopic electromagnetic wave. |
III | Foundations of geometrical optics | The limiting case of Maxwell's equations at short wavelengths leading to geometrical optics. Rays, wavefronts and the propagation of field vector directions. |
IV | Geometrical theory of optical imaging | The geometrical theory of imaging based on Hamilton's methods of characteristic functions. |
V | Geometrical theory of aberrations | A unified treatment of aberrations based on the deformation of wavefronts which covers all aberrations, which were traditionally studied with geometric optics (larger aberrations) and diffraction theory (small aberrations) |
VI | Image-forming instruments | A brief description of image forming instruments providing the background for the theory of image formation contributed by Dr.P.A. Wayman. [9] |
VII | Elements of the theory of interference and interferometers | This chapter was written by Dr. W.L. Wilcock, who based the theoretical descriptions on sections in Optik but with greatly expanded coverage. |
VIII | Elements of the theory of diffraction | Fresnel-Kirchhoff diffraction theory and its applications. Detailed analysis of the three-dimensional light distribution near the optical focus. Also an account of Thomas Young's boundary diffraction wave model. Also included an account of Gabor's "ingenious method of reconstructing wavefronts" for which Gabor was later awarded the Nobel Prize, and became known as holography. |
IX | The diffraction theory of aberrations | Nijboer-Zernike diffraction theory. Imaging of extended objects using Fourier transforms. |
X | Interference and diffraction with partially coherent light | A systematic theory of interference and diffraction with partially coherent light. An account of partial polarization described by coherence theory. This chapter was a cause of some contention between the authors. [7] In 1957, Born, who was concerned about how long it was taking to complete the book, suggested that Wolf leave it out, saying, "Who, apart from you, is interested in partial coherence?" Two years after the book was published, the invention of the laser meant that optical physicists and engineers became greatly interested in the topic. The book was the first to cover it in detail, and Born was then very happy that it had been included. |
XI | Rigorous diffraction theory | This chapter was written by Dr. P. C. Clemmow. It covers a field which had been stimulated by advances in short-wave radio techniques. |
XII | Diffraction of light by ultrasonic waves | Written by Prof. A. B. Bhatia. it used the techniques developed in Chapter II. |
XIII | Optics of metals | Written by Dr. A. R. Stokes. A revised and extended version of the chapter in Optik. |
XIV | Optics of crystals | This was written by Dr. A. J. Taylor and was also a revised and expanded version of the chapter in Optik. |
Appendix | Title | |
I | Calculus of Variations | Written by Born, and are based on David Hilbert's lectures at Göttingen which Born had attended in the early 20th century. |
II | Light optics, electron optics and wave mechanics | Written by Gabor. Shows the formal analogy between geometrical optics, classical mechanics and electron optics analysed using the calculus of variations. |
III | Asymptotic approximation to integrals | Written by Dr. P. C. Clemmow |
IV | The Dirac Delta function | Written by Born and Wolf |
V | Mathematical Lemma used in the derivation of the Lorentz-Lorenz law | Written by Born and Wolf |
VI | Propagation of discontinuities in an Electro-magnetic field | Written by Born and Wolf |
VII | The circle polynomials of Zernike | Written by Born and Wolf |
VIII | Proof of an inequality | Written by Born and Wolf |
IX | Evaluation of two integrals | Written by Born and Wolf |
This was published in 1962. [2] : Preface to the second edition It contained corrections of errors and misprints.
Lasers had been developed since the 1st edition was published but were not covered because laser operation is outside the scope of classical optics. Some references to research which used lasers were included.
This was published in 1965. [2] : Preface to the third edition It again had correction of errors and misprints, and references to recent publications were added.
A new figure (8.54), donated by Leith and Upatnieks, showed images of the first 3-dimensional holographic image. This related to the section in Chapter VIII which described Gabor's wavefront re-construction technique (holography).
This was published in 1968 and included corrections, improvements to the text, and additional references. [2] : Preface to the fourth edition
This was published in 1974 and again included corrections, improvements to the text, and additional references. [2] : Preface to the fifth edition
Significant changes were made to Sections 13.1-13.3. which deals with the optical properties of metals. It is not possible to describe the interaction of an optical electromagnetic wave with a metal using classical optical theory. Nonetheless, some of the main features can be described, at least in quantitative terms, provided the frequency dependence of conductivity and the role of free and bound electrons are taken into account.
This was published in 1985, and contained a small number of corrections [2] : Preface to the 6th edition"
In 1997, publication of the book was transferred to Cambridge University Press, who were willing to reset the text, thus providing an opportunity to make substantial changes to the book. [2] : Preface to the 7th Edition
The invention of the laser in 1960, a year after the first edition was published, had led to many new activities and entirely new fields in optics. A fully updated "Principles of Optics" would have required several new volumes so Wolf decided to add only a few new topics, which would not require major revisions to the text.
A new section was added to Chapter IV, presenting the principles of computerised axial tomography (or CAT) which has revolutionised diagnosis in medicine. There is also an account of the Radon transform developed in 1917, which underlies the theory of CAT.
An account of Kirchhoff-Rayleigh diffraction theory was added to Chapter VIII as it had become more popular. There is a debate as to whether it or the older Kirchhoff theory best describes diffraction effects.
A recently discovered phenomenon is presented, in which spectral analysis of the light distribution of superimposed broad-band light fields provides important physical information from which the coherence properties of the light can be deduced.
Chapter XIII was added, entitled "The theory of scattering of light by inhomogeneous media". The underlying theory was developed many years before in the analysis of the quantum mechanical potential scattering, and had more recently been derived for optical scattering. Diffraction tomography is discussed. It is applied when the finite wavelength of the waves involved, e.g. optical and ultrasonic waves, cannot be ignored as is the case in X-ray tomography.
Three new appendices were also added:
To date, there have been seven editions of the book.
The first six were published by Pergamon Press in 1959, 1962, 1965, 1968, 1974 and 1980. Cambridge University Press took over the book in 1997, and published an expanded seventh edition in 1999 [2] A special Sixtieth Anniversary version was released in 2019, sixty years after the first edition.
In 1999, Wolf commented [2] : Preface to the 7th edition that there had been seventeen authorised reprints and an unknown number of unauthorised reprints.
The fifth edition was reprinted in 1975 and 1977. [10] Between 1983 and 1993, the sixth edition of the book was reprinted seven times. [3] Some of these reprints, including those in the years 1983 and 1986, included corrections. [10]
Cambridge University Press produced a reprint of the 6th Edition in 1997. A reprint of the 7th Edition was produced in 2002 with corrections. Fifteen reprints were made before the 60th Anniversary edition was printed in 2019. [3]
The first edition was very well received. [2] : Foreword A biography of Max Born said: "it presents a systematic treatment based on electromagnetic theory for all optical phenomena that can be described in terms of a continuous distribution of matter". [11] Its timing was very opportune. The arrival of the laser shortly after its publication meant that the insights it provided into the description and analysis of light were directly applicable to the behaviour of laser light. It was extensively used by university teachers, researchers used it as a source of rigorous information. Its excellent sales reflected its value to the world optics community.
Gabor said that the account of holography in the book was the first systematic description of the technique in an authoritative text book. [2] : Foreword Gabor sent Wolf a copy of one of his papers with the inscription "Dear Emil, I consider you my chief prophet, Love, Dennis" [7]
The seventh edition was reviewed by Peter W. Milonni, [4] Eugene Hecht, [12] and William Maxwell Steen. [13] Previous editions of the book were reviewed by Léon Rosenfeld, [14] Walter Thompson Welford, [15] John D. Strong, [16] and Edgar Adrian, [17] among others. [18] [19] [20] [21] [22]
Peter W. Milonni opened his review of the book by endorsing the book's dust jacket description, stating it is "one of the classic science books of the twentieth century, and probably the most influential book in optics published in the past 40 years." [4]
Eugene Hecht opened his review of the book by comparing the task to reviewing The Odyssey , in that it "cannot be approached without a certain awe and the foreknowledge that whatever you say is essentially irrelevant". [12] Hecht then summarizes his own review, in order to help "anyone who hasn't the time to read the rest of this essay" by stating: "Principles of Optics is a great book, the seventh edition is a fine one, and if you work in the field you probably ought to own it." [12] Hecht went on to state that the book "is a great, rigorous, ponderous, unwavering mathematical tract that deals with a wealth of topics in classical optics." [12] He noted that the book can be hard to understand; he wrote: "This is a tour de force, never meant for easy reading." [12] After analyzing some of the changes to the new edition, Hecht ended the review with the same summary as the introduction, emphasizing again that "if you work in the field you probably ought to own it". [12]
Optics is the branch of physics that studies the behaviour and properties of light, including its interactions with matter and the construction of instruments that use or detect it. Optics usually describes the behaviour of visible, ultraviolet, and infrared light. Light is a type of electromagnetic radiation, and other forms of electromagnetic radiation such as X-rays, microwaves, and radio waves exhibit similar properties.
A photon is an elementary particle that is a quantum of the electromagnetic field, including electromagnetic radiation such as light and radio waves, and the force carrier for the electromagnetic force. Photons are massless particles that always move at the speed of light measured in vacuum. The photon belongs to the class of boson particles.
Forward scattering is the deflection of waves by small angles so that they continue to move in close to the same direction as before the scattering. It can occur with all types of waves, for instance light, ultraviolet radiation, X-rays as well as matter waves such as electrons, neutrons and even water waves. It can be due to diffraction, refraction, and low angle reflection. It almost always occurs when the wavelength of the radiation used is small relative to the features which lead to the scattering. Forward scatter is essentially the reverse of backscatter.
Coherence expresses the potential for two waves to interfere. Two monochromatic beams from a single source always interfere. Wave sources are not strictly monochromatic: they may be partly coherent. Beams from different sources are mutually incoherent.
Emil Wolf was a Czech-born American physicist who made advancements in physical optics, including diffraction, coherence properties of optical fields, spectroscopy of partially coherent radiation, and the theory of direct scattering and inverse scattering. He was also the author of numerous other contributions to optics.
In optics, the Fraunhofer diffraction equation is used to model the diffraction of waves when plane waves are incident on a diffracting object, and the diffraction pattern is viewed at a sufficiently long distance from the object, and also when it is viewed at the focal plane of an imaging lens. In contrast, the diffraction pattern created near the diffracting object and is given by the Fresnel diffraction equation.
Molar refractivity, , is a measure of the total polarizability of a mole of a substance and is dependent on the temperature, the index of refraction, and the pressure.
In physics, the wavefront of a time-varying wave field is the set (locus) of all points having the same phase. The term is generally meaningful only for fields that, at each point, vary sinusoidally in time with a single temporal frequency.
Paul Karl Ludwig Drude was a German physicist specializing in optics. He wrote a fundamental textbook integrating optics with James Clerk Maxwell's theories of electromagnetism.
Electron optics is a mathematical framework for the calculation of electron trajectories in the presence of electromagnetic fields. The term optics is used because magnetic and electrostatic lenses act upon a charged particle beam similarly to optical lenses upon a light beam.
In optics, a ray is an idealized geometrical model of light or other electromagnetic radiation, obtained by choosing a curve that is perpendicular to the wavefronts of the actual light, and that points in the direction of energy flow. Rays are used to model the propagation of light through an optical system, by dividing the real light field up into discrete rays that can be computationally propagated through the system by the techniques of ray tracing. This allows even very complex optical systems to be analyzed mathematically or simulated by computer. Ray tracing uses approximate solutions to Maxwell's equations that are valid as long as the light waves propagate through and around objects whose dimensions are much greater than the light's wavelength. Ray optics or geometrical optics does not describe phenomena such as diffraction, which require wave optics theory. Some wave phenomena such as interference can be modeled in limited circumstances by adding phase to the ray model.
A Celor lens is a highly corrected lens of the Dialyt type, designed for process photography, involving reproduction at or near 1:1 scale.
In physics, ray tracing is a method for calculating the path of waves or particles through a system with regions of varying propagation velocity, absorption characteristics, and reflecting surfaces. Under these circumstances, wavefronts may bend, change direction, or reflect off surfaces, complicating analysis. Strictly speaking Ray tracing is when analytic solutions to the ray's trajectories are solved; however Ray tracing is often confused with ray-marching which numerically solves problems by repeatedly advancing idealized narrow beams called rays through the medium by discrete amounts. Simple problems can be analyzed by propagating a few rays using simple mathematics. More detailed analysis can be performed by using a computer to propagate many rays.
In radiometry, spectral radiance or specific intensity is the radiance of a surface per unit frequency or wavelength, depending on whether the spectrum is taken as a function of frequency or of wavelength. The SI unit of spectral radiance in frequency is the watt per steradian per square metre per hertz and that of spectral radiance in wavelength is the watt per steradian per square metre per metre —commonly the watt per steradian per square metre per nanometre. The microflick is also used to measure spectral radiance in some fields.
The Helmholtz reciprocity principle describes how a ray of light and its reverse ray encounter matched optical adventures, such as reflections, refractions, and absorptions in a passive medium, or at an interface. It does not apply to moving, non-linear, or magnetic media.
Pierre-Michel Duffieux (1891–1976) was a French physicist, known as the founder of Fourier optics.
Hamilton's optico-mechanical analogy is a conceptual parallel between trajectories in classical mechanics and wavefronts in optics, introduced by William Rowan Hamilton around 1831. It may be viewed as linking Huygens' principle of optics with Maupertuis' principle of mechanics.
For light and other electromagnetic radiation, the plane of polarization is the plane spanned by the direction of propagation and either the electric vector or the magnetic vector, depending on the convention. It can be defined for polarized light, remains fixed in space for linearly-polarized light, and undergoes axial rotation for circularly-polarized light.
In optics the Smith–Helmholtz invariant is an invariant quantity for paraxial beams propagating through an optical system. Given an object at height and an axial ray passing through the same axial position as the object with angle , the invariant is defined by