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Foundations of Physics

Stochastic optics: A reaffirmation of the wave nature of light

Trevor W. Marshall, Emilio Santos

Published Feb 1, 1988• 62 citations
Publisher
DOI
10.1007/bf01882931

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Thermal light-scattering fluctuations are examined as a fundamental noise source inherent in nonlinear optical processes involving Kerr and artificial Kerr media. Stochastic models are introduced to simulate noise in optical phase conjugation via degenerate four-wave mixing, and in signal amplification via nondegenerate two-wave-mixing processes. Significant noise fluctuations in the amplitude and phase components of the processed signals are shown to occur even with incident signal powers in the milliwatt range. For time-dependent processes, including nondegenerate two-wave mixing, the fluctuation-dissipation theorem is shown to generalize a previously derived static susceptibility relation between light-scattering and nonlinear optical response to media exhibiting both power dissipation and nonlocal interaction.

Physical Review A•Mar 1, 1992•3 citations
The study of the wave phenomena of physical optics and of quantum mechanics must take into account the fact that experimental instruments operate linearly on the field quantities, while all measured values depend only on their mean squares. The latter circumstance necessitates a statistical approach to these theories. Certain questions must be re-examined in the light of this fact. We analyze the most important of these, namely that of the limitations causality (the directedness of time in physical phenomena) imposes on the nature of the transformations an optical instrument can perform on the light admitted to it.
A group of electrons that traverses a sufficiently small aperture will exhibit diffraction effects. It is not entirely surprising that the earliest reaffirmation of the dualism inherent in radiation came neither from Britain nor Germany. There the issues had been recognized, discussed, and dismissed over the preceding twenty years. And American research traditions were largely derivative of German and British models; Duane and Millikan had both studied under Planck, and Richardson did research with Thomson in Cambridge. It took an outsider to these traditions to raise the issues in a way that began to convince others. That process began in France. Maurice and Louis de Broglie were, by any standards, unusual physicists. Amateurs in an age of professionals, possessing a confidence born of noble status, working on experiments that had only the meagerest precedent in their homeland, they were not as firmly bound by the predispositions that prevented physicists of other nations from directly assessing the spatially localized lightquantum. Their conversion was real. Maurice had once been convinced that x-rays and γ-rays fit neatly into the electromagnetic spectrum. In his discussion, La nature des rayons de Röntgen in 1915, there was no thought that x-rays might be anything other than periodic waves. As late as May 1920, he spoke freely of x-ray “wavelengths” and discussed the optical fluorescence that results from degradation of x-ray “frequency.” But late in 1920 he reviewed the new evidence accumulated at high x-ray frequencies. There he hinted at unspecified difficulties in the orthodox wave interpretation of x-rays.
Thermal light-scattering fluctuations are examined as a fundamental noise source inherent in nonlinear optical processes involving Kerr and artificial Kerr media. Stochastic models are introduced to simulate noise in optical phase conjugation via degenerate four-wave mixing, and in signal amplification via nondegenerate two-wave-mixing processes. Significant noise fluctuations in the amplitude and phase components of the processed signals are shown to occur even with incident signal powers in the milliwatt range. For time-dependent processes, including nondegenerate two-wave mixing, the fluctuation-dissipation theorem is shown to generalize a previously derived static susceptibility relation between light-scattering and nonlinear optical response to media exhibiting both power dissipation and nonlocal interaction.