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Physics Letters A

A class of scattering media which generate Doppler-like frequency shifts of spectral lines

Daniel F. V. James, E. Wolf

Published May 1, 1994• 15 citations
Publisher
DOI
10.1016/0375-9601(94)90445-6

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Spectral shifts produced by scattering on some model random media

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The effect of the statistical properties of fluctuating light sources on the spectrum of the emitted radiation has been the subject of intense research over the last few years. It was first shown that due to spatial correlations, the spectrum of light was not, in general, invariant on propagation, even in free space.1 It was also shown that these effects can lead to shifts of spectral lines, a result which is of interest particularly for astrophysics.2 In view of the intimate connection between radiation from localized sources and scattering from media of finite extent, similar spectral changes may also be produced by scattering. In this paper a model scatterer is introduced, whose dielectric response function is a random function of space and time and whose space-time correlation function is a Gaussian function in all its variables. Using the first-order Born approximation, such scattering media are shown to generate frequency shifts of spectral lines that imitate the Doppler effect in its main features. The shifts may be arbitrarily large. Some numerical simulations of such shifts are presented and compared with Doppler shifts.

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Dopplerlike frequency shifts of spectral lines generated by dynamic scattering

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It was recently shown that, when light is scattered from a random medium whose response function (e.g., the dielectric susceptibility) has appropriate correlation properties, the spectrum of the scattered light may be frequency shifted with respect to the spectrum of the incident light.1,2 In general the relative frequency shifts produced by this mechanism will be different for different spectral lines. We show that under certain circumstances the relative shifts generated by scattering from appropriately correlated space-time fluctuations may become frequency independent and may be arbitrarily large. This scattering mechanism then imitates the Doppler effect, even though the source, the scattering medium, and the observer are at relative rest with respect to each other.

Annual Meeting Optical Society of America•Jan 1, 1989•0 citations
The effect of the statistical properties of fluctuating light sources on the spectrum of the emitted radiation has been the subject of intense research over the last few years. It was first shown that due to spatial correlations, the spectrum of light was not, in general, invariant on propagation, even in free space.1 It was also shown that these effects can lead to shifts of spectral lines, a result which is of interest particularly for astrophysics.2 In view of the intimate connection between radiation from localized sources and scattering from media of finite extent, similar spectral changes may also be produced by scattering. In this paper a model scatterer is introduced, whose dielectric response function is a random function of space and time and whose space-time correlation function is a Gaussian function in all its variables. Using the first-order Born approximation, such scattering media are shown to generate frequency shifts of spectral lines that imitate the Doppler effect in its main features. The shifts may be arbitrarily large. Some numerical simulations of such shifts are presented and compared with Doppler shifts.
Abstract : It is generally taken for granted that the spectrum of light does not change on propagation. This belief is implicit in all spectroscopy. In the last few years it was discovered that while such spectral invariance holds for radiation from commonly used sources it does not hold, in general, because the spectrum of emitted radiation depends not only on the source spectrum but also on the coherence properties of the source. It was found that in some cases the induced changes may be appreciable, possibly resulting in frequency shifts of spectral lines. It has also been demonstrated that similar spectral changes may be produced by scattering on random media whose dielectric susceptibility fluctuations are appropriately correlated. Very recently it was shown that under certain circumstances the frequency shifts generated by dynamic scattering may imitate the Doppler effect, even though the source, the scatterer and the observer are all at rest relative to each other. (emk)
It was recently shown that, when light is scattered from a random medium whose response function (e.g., the dielectric susceptibility) has appropriate correlation properties, the spectrum of the scattered light may be frequency shifted with respect to the spectrum of the incident light.1,2 In general the relative frequency shifts produced by this mechanism will be different for different spectral lines. We show that under certain circumstances the relative shifts generated by scattering from appropriately correlated space-time fluctuations may become frequency independent and may be arbitrarily large. This scattering mechanism then imitates the Doppler effect, even though the source, the scattering medium, and the observer are at relative rest with respect to each other.