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International Journal of Modern Physics B

Cross-modulation between microwave beams interpreted as a stochastic process

Ilaria Cacciari, Daniela Mugnai, Anedio Ranfagni, Andrea Petrucci

Published Jan 6, 2021• 7 citations
Publisher

Abstract

Further and more detailed experimental work demonstrates an anomalous transfer of modulation between two microwave beams in the near-field and confirms the results already obtained. The behavior of the measured signal versus the attenuation of each beam intensity suggests a model based on the existence of hybrid terms containing the product of both the relative field amplitudes. In addition, the undulating shape of the signal suggests the presence of stochastic processes.

DOI
10.1142/s0217979221500375

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Further and more detailed experimental work demonstrates an anomalous transfer of modulation between two microwave beams in the near-field and confirms the results already obtained. The behavior of the measured signal versus the attenuation of each beam intensity suggests a model based on the existence of hybrid terms containing the product of both the relative field amplitudes. In addition, the undulating shape of the signal suggests the presence of stochastic processes.
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Results were recently reported on statistical properties of phase-modulated laser light. A detailed analysis is presented here of random-phase modulation. In particular it is shown that there are two kinds of such modulation: modulation by phase fluctuations, in which the instantaneous phase is a stationary stochastic process, and modulation by phase diffusion in which the phase is a diffusion process with an always increasing variance. In the case of a Gaussian modulation we show that the optical fields in the two preceding cases are very different, and we calculate their coherence functions. This difference can be detected by an interference experiment, but more easily by photon coincidence or intensity-correlation experiments on a beat between a reference beam and the modulated beams. We present a theoretical analysis of such experiments in the two cases of modulation.
Numerical modeling of self-action of a beam, whose amplitude is periodically modulated in time, in a two-level saturable absorbing medium is reported. For describe a beam self-action we solve numerically the full set of Maxwell-Bloch equations. We study the influence of the non-stationary self-action of the beam on the transmission of modulation signal through the medium. It is shown that in the time dependence of the polarization and population difference the nonlinear distortions of the modulation signal can be much stronger than in the output field intensity.