Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Bell System Technical Journal

Contemporary Advances in Physics, XVII The Scattering of Light with Change of Frequency

Karl K. Darrow

Published Jan 1, 1929• 2 citations
Publisher

Abstract

Scattering of light is one of the commonest of all phenomena, which does not in the least imply that it is one of the most commonplace. Even its practical importance entitles it to high respect. We are often told that were it not for scattering, the sky would not be blue; the sun and the stars would stand out amazingly brilliant against a background black as coal. It is probable, however, that if scattering were suddenly to be suspended, the disappearance of the sky would be one of the least of our worries. Everything else would disappear, except what was self-luminous. The visible world would consist of the sun, the other stars, and flames, some electrical discharges, the filaments of incandescent lamps, and some substances glowing feebly with fluorescence or phosphorescence. Nothing else could be seen except as a silhouette, apart from objects so translucent that they could be viewed as a stereopticon slide against a flame. Happily no such calamity impends; and we may unconcernedly consider the theoretical importance of the process, which is great. As some might say, the scattering of light is one of the battlegrounds between the undulatory and the corpuscular theories. Metaphors of combat are however not appropriate; it is necessary to reconcile the theories, not to smash one or the other. Now it happens that some of the phenomena of scattering may be interpreted by the one theory, and some by the other; and some can be explained by either, which is most auspicious; for if this can some day be said of all the phenomena of light, the goal of our desires will have been attained.

DOI
10.1002/j.1538-7305.1929.tb02306.x

Related papers

Contemporary Advances in Physics-XV

Karl K. Darrow

FOR twenty years and more we have been hearing continually about the conflict between the corpuscular and the undulatory theories of light, and it is possible that for years to come we may be hearing about a similar contest between the wave-theory and the particle-theory of matter. Furthermore, there are intimations that if an adequate theory either of light or of matter ever is attained, it will involve conceptions of waves which in certain limiting cases approach to conceptions of particles. Already it is established that the appropriate way to attack the typical problems of the atom consists in setting up a wave-equation, and dealing with it in the same manner as one adopts to solve the typical problem of acoustics: how to determine the resonance-frequencies of a piece of elastic matter, such as a taut wire or a drumhead or a column of air in a tube. Therefore it seems opportune to restudy, with care and in detail, the great classical example of a wave-theory highly developed and widely successfulthe great theory of light dimly foreshadowed by Huygens, endowed with its essen tial attributes by Young and Fresnel and Kirchhoff and a host of their coevals, utilized in the design of a multitude of ingenious instruments, perfected by Maxwell and connected with the theory of electricity and magnetism, and serving to this day as the basis for the theory of quanta. So doing, we shall be reminded of many triumphs of the past century of physical research, discoveries which in their time were as exciting as new quantum phenomena in ours; we shall notice certain achievements themselves as recent as those of quanta, and perhaps not less impressive; we shall retrace the reasonings which led to certain conclusions which the quantum-theories, unable to do without them and yet incompetent to derive them, have taken bodily over from their forerunner; we shall reconsider the evidence which in the litigation of a century ago caused the verdict to be rendered in favour of the wave-theory over the particle-theory; and perhaps incidentally we shall be drilling ourselves to test the evidence lately submitted and still to be submitted in the appeal of that case, and in the hearing of that other which impends.

Bell System Technical Journal•Apr 1, 1928•0 citations

Contemporary Advances in Physics, XIX

Karl K. Darrow

In this article certain of the simple and familiar phenomena of optics and of electronics — for instance, refraction at a boundary between two media, and diffraction by a grating — are interpreted by both of the theories, undulatory and corpuscular, which have so often been condemned as incompatible with one another; the attitude being, that the theories may be brought into concordance by modifying one at least in ways which, extraordinary as they seem, do not quite destroy its character.

Bell System Technical Journal•Jan 1, 1930•2 citations

Some Problems of Philosophy

James Hopwood Jeans

We have now concluded our summary of the findings of modern physics, and may turn to consider how these findings affect the practical problems of philosophy and of everyday life. But let us first recapitulate the conclusions we have reached in our scientific discussion. Recapitulation Because we are human beings and not mere animals, we try to discover as much as we can about the world in which our lives are cast. We have seen that there is only one method of gaining such knowledge—the method of science, which consists in a direct questioning of nature by observation and experiment. The first thing we learn from such questioning is that the world is rational; its happenings are not determined by caprice but by law. There exists what we have called a ‘pattern of events’, and the primary aim of physical science is the discovery of this pattern. This, as we have seen, will be capable of description only in mathematical terms. The new quantum theory explained in the preceding chapter has provided a mathematical description of the pattern of events which is believed to be complete and perfect. For it enables us—in principle at least—to predict every possible phenomenon of physics, and not one of its predictions has so far proved to be wrong. In a sense, then, we might say that theoretical physics has achieved the main purpose of its being, and that nothing remains but to work out the details.

Cambridge University Press eBooks•Jul 20, 2009•44 citations

Contemporary Advances in Physics. XIV. Introduction to Wave-Mechanics

Karl K. Darrow

In a period when a limited domain of physical phenomena is exciting wide fervent interest and commanding intensive study, and continues for years to monopolize the attention of many brilliant theorists, sometimes it is the fortune of an ingenious mind to express or interpret or picture the already-discovered laws in a new way which makes so greatly favourable an impression, that in a moment it sweeps its rivals from the field. The new theory may not lead to more or better agreements with experience than did its predecessors; it need not make predictions which they were incapable of making; its mathematical processes may be identical with theirs, the old symbols reappearing with new names in the old equations. Contrariwise it may be born well endowed with these advantages which normally decide the contest between old theories and new, yet owe its victory not to them at all. It triumphs because it seems natural or sensible or reasonable or elegant or beautiful-words said of a theory which fulfils some deep-seated demand or evades some deep-rooted prejudice in the minds of its judges. Later its vogue may pass, not through the disclosure of any intrinsic defect, but because the physicists of the rising generation do not share the prejudices and the predilections of those who first applauded it. The kinetic theory of gases was welcomed by a generation which wished to believe in atoms; the electromagnetic theory by people prejudiced against the notion of action at a distance; the quantum-theory has always had to do battle against those who yearn for continuity in their images of Nature, and the theory to which these pages are devoted has captivated the world of physics in a few brief months because it seems to promise a fulfilment of that long-baffled and insuppressible desire.

Bell System Technical Journal•Oct 1, 1927•17 citations

Introductory remarks

George William Series

Abstract The subject of light scattering can hardly fail to be of interest to a body of scientists since the eye is the most delicate of our sense organs, but we shall not on this occasion be concerned so much with direct visual experiences as with the evidence concerning the objects of our study obtained from elaborately planned experiments and by the use of highly developed apparatus. Of the many possible ways in which the field might have been divided, it seemed to the organizers that there was a useful distinction to be made between the structure and properties of the scattering objects, which will be our theme on the first day, and the interactions and dynamics, to which we shall turn on the second. I should make it clear at the outset that these terms relate to what can be discovered by the process of light scattering about the objects themselves. The interaction of the light field with the scattering objects is another matter. I have no doubt that our speakers in both sessions will touch upon this from time to time, but some recently studied aspects of this particular interaction will form the subject of Dr Cohen-Tannoudji’s paper. It is a matter of great regret to all of us that Academician Fabelinskii, whom we had invited to give the opening scientific address to this meeting, found himself unable to accept our invitation for reasons beyond his control. Many of us would have wished to thank him personally for having made available to the world of science his wide experience and knowledge by the publication, some ten years ago, of that most valuable book which is to be found on many of our shelves: we were looking forward to hearing of his more recent work. We are indeed sorry that he is unable to be with us.

Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences•Dec 20, 1979•0 citations

Introduction to the Principles of Quantum Mechanics

Gabriel Laufer

Ever splitting the light! How often do they strive to divide that which, despite everything, would always remain single and whole. Goethe (quoted in Zajonc 1993) Introduction The use of electromagnetic wave theory and geometrical optics to describe propagation of light is satisfactory when there is no exchange of energy between radiation and matter. All observable characteristics – direction of propagation, polarization, diffraction, interference, the energy of radiation, and so forth – are accurately described by one of these so-called classical theories. However, with the exception of absorption by lossy media (eqn. 4.36) or the effects of dispersion (eqn. 4.22), classical theories fail to give reasons for many phenomena that have practical consequences in modern technology and that involve interaction between radiation and matter. Even the partially successful descriptions of dispersion or loss cannot explain the existence of the multitude of spectrally distinct absorption lines; cannot predict the wavelengths for absorption or the wavelengths for anomalous dispersion; cannot account for all the absorbed energy; and, most importantly, cannot predict or describe the effect of optical gain, which is closely related to absorption. Thus, the principles of operation of many important devices of modern optics such as lasers, photodiodes, electronic cameras, and television screens cannot be explained by classical theories. Even the emission by the sun or an incandescent lamp are beyond the scope of these theories. It is evident therefore that a new, modern theory is necessary – one that is either more complete than, or simply complements, the classical theories.

Cambridge University Press eBooks•Jul 13, 1996•0 citations
Scattering of light is one of the commonest of all phenomena, which does not in the least imply that it is one of the most commonplace. Even its practical importance entitles it to high respect. We are often told that were it not for scattering, the sky would not be blue; the sun and the stars would stand out amazingly brilliant against a background black as coal. It is probable, however, that if scattering were suddenly to be suspended, the disappearance of the sky would be one of the least of our worries. Everything else would disappear, except what was self-luminous. The visible world would consist of the sun, the other stars, and flames, some electrical discharges, the filaments of incandescent lamps, and some substances glowing feebly with fluorescence or phosphorescence. Nothing else could be seen except as a silhouette, apart from objects so translucent that they could be viewed as a stereopticon slide against a flame. Happily no such calamity impends; and we may unconcernedly consider the theoretical importance of the process, which is great. As some might say, the scattering of light is one of the battlegrounds between the undulatory and the corpuscular theories. Metaphors of combat are however not appropriate; it is necessary to reconcile the theories, not to smash one or the other. Now it happens that some of the phenomena of scattering may be interpreted by the one theory, and some by the other; and some can be explained by either, which is most auspicious; for if this can some day be said of all the phenomena of light, the goal of our desires will have been attained.
FOR twenty years and more we have been hearing continually about the conflict between the corpuscular and the undulatory theories of light, and it is possible that for years to come we may be hearing about a similar contest between the wave-theory and the particle-theory of matter. Furthermore, there are intimations that if an adequate theory either of light or of matter ever is attained, it will involve conceptions of waves which in certain limiting cases approach to conceptions of particles. Already it is established that the appropriate way to attack the typical problems of the atom consists in setting up a wave-equation, and dealing with it in the same manner as one adopts to solve the typical problem of acoustics: how to determine the resonance-frequencies of a piece of elastic matter, such as a taut wire or a drumhead or a column of air in a tube. Therefore it seems opportune to restudy, with care and in detail, the great classical example of a wave-theory highly developed and widely successfulthe great theory of light dimly foreshadowed by Huygens, endowed with its essen tial attributes by Young and Fresnel and Kirchhoff and a host of their coevals, utilized in the design of a multitude of ingenious instruments, perfected by Maxwell and connected with the theory of electricity and magnetism, and serving to this day as the basis for the theory of quanta. So doing, we shall be reminded of many triumphs of the past century of physical research, discoveries which in their time were as exciting as new quantum phenomena in ours; we shall notice certain achievements themselves as recent as those of quanta, and perhaps not less impressive; we shall retrace the reasonings which led to certain conclusions which the quantum-theories, unable to do without them and yet incompetent to derive them, have taken bodily over from their forerunner; we shall reconsider the evidence which in the litigation of a century ago caused the verdict to be rendered in favour of the wave-theory over the particle-theory; and perhaps incidentally we shall be drilling ourselves to test the evidence lately submitted and still to be submitted in the appeal of that case, and in the hearing of that other which impends.
We have now concluded our summary of the findings of modern physics, and may turn to consider how these findings affect the practical problems of philosophy and of everyday life. But let us first recapitulate the conclusions we have reached in our scientific discussion. Recapitulation Because we are human beings and not mere animals, we try to discover as much as we can about the world in which our lives are cast. We have seen that there is only one method of gaining such knowledge—the method of science, which consists in a direct questioning of nature by observation and experiment. The first thing we learn from such questioning is that the world is rational; its happenings are not determined by caprice but by law. There exists what we have called a ‘pattern of events’, and the primary aim of physical science is the discovery of this pattern. This, as we have seen, will be capable of description only in mathematical terms. The new quantum theory explained in the preceding chapter has provided a mathematical description of the pattern of events which is believed to be complete and perfect. For it enables us—in principle at least—to predict every possible phenomenon of physics, and not one of its predictions has so far proved to be wrong. In a sense, then, we might say that theoretical physics has achieved the main purpose of its being, and that nothing remains but to work out the details.
In a period when a limited domain of physical phenomena is exciting wide fervent interest and commanding intensive study, and continues for years to monopolize the attention of many brilliant theorists, sometimes it is the fortune of an ingenious mind to express or interpret or picture the already-discovered laws in a new way which makes so greatly favourable an impression, that in a moment it sweeps its rivals from the field. The new theory may not lead to more or better agreements with experience than did its predecessors; it need not make predictions which they were incapable of making; its mathematical processes may be identical with theirs, the old symbols reappearing with new names in the old equations. Contrariwise it may be born well endowed with these advantages which normally decide the contest between old theories and new, yet owe its victory not to them at all. It triumphs because it seems natural or sensible or reasonable or elegant or beautiful-words said of a theory which fulfils some deep-seated demand or evades some deep-rooted prejudice in the minds of its judges. Later its vogue may pass, not through the disclosure of any intrinsic defect, but because the physicists of the rising generation do not share the prejudices and the predilections of those who first applauded it. The kinetic theory of gases was welcomed by a generation which wished to believe in atoms; the electromagnetic theory by people prejudiced against the notion of action at a distance; the quantum-theory has always had to do battle against those who yearn for continuity in their images of Nature, and the theory to which these pages are devoted has captivated the world of physics in a few brief months because it seems to promise a fulfilment of that long-baffled and insuppressible desire.
Abstract The subject of light scattering can hardly fail to be of interest to a body of scientists since the eye is the most delicate of our sense organs, but we shall not on this occasion be concerned so much with direct visual experiences as with the evidence concerning the objects of our study obtained from elaborately planned experiments and by the use of highly developed apparatus. Of the many possible ways in which the field might have been divided, it seemed to the organizers that there was a useful distinction to be made between the structure and properties of the scattering objects, which will be our theme on the first day, and the interactions and dynamics, to which we shall turn on the second. I should make it clear at the outset that these terms relate to what can be discovered by the process of light scattering about the objects themselves. The interaction of the light field with the scattering objects is another matter. I have no doubt that our speakers in both sessions will touch upon this from time to time, but some recently studied aspects of this particular interaction will form the subject of Dr Cohen-Tannoudji’s paper. It is a matter of great regret to all of us that Academician Fabelinskii, whom we had invited to give the opening scientific address to this meeting, found himself unable to accept our invitation for reasons beyond his control. Many of us would have wished to thank him personally for having made available to the world of science his wide experience and knowledge by the publication, some ten years ago, of that most valuable book which is to be found on many of our shelves: we were looking forward to hearing of his more recent work. We are indeed sorry that he is unable to be with us.
Ever splitting the light! How often do they strive to divide that which, despite everything, would always remain single and whole. Goethe (quoted in Zajonc 1993) Introduction The use of electromagnetic wave theory and geometrical optics to describe propagation of light is satisfactory when there is no exchange of energy between radiation and matter. All observable characteristics – direction of propagation, polarization, diffraction, interference, the energy of radiation, and so forth – are accurately described by one of these so-called classical theories. However, with the exception of absorption by lossy media (eqn. 4.36) or the effects of dispersion (eqn. 4.22), classical theories fail to give reasons for many phenomena that have practical consequences in modern technology and that involve interaction between radiation and matter. Even the partially successful descriptions of dispersion or loss cannot explain the existence of the multitude of spectrally distinct absorption lines; cannot predict the wavelengths for absorption or the wavelengths for anomalous dispersion; cannot account for all the absorbed energy; and, most importantly, cannot predict or describe the effect of optical gain, which is closely related to absorption. Thus, the principles of operation of many important devices of modern optics such as lasers, photodiodes, electronic cameras, and television screens cannot be explained by classical theories. Even the emission by the sun or an incandescent lamp are beyond the scope of these theories. It is evident therefore that a new, modern theory is necessary – one that is either more complete than, or simply complements, the classical theories.