Back to topTo gain some insight into the characteristics of fluctuating optical fields, we present here the results of what we hope is an instructive

An Experimental "Toy" Model of a Randomly Fluctuating "Optical Field"Mathematicaexperiment. In essence, we attempt to model the output of an oscillator --e.g.,a radiating atom --which is interrupted andby a set of random collisions. That output over some short interval of time is depicted belowdephased

COLLISION INTERRUPTED OSCILLATORThe amplitude of the oscillator is assumed to be constant in time, but its phase is randomly interrupted at a set of

collision timeswhich are--distributed normallyi.e.according to a Gaussian probability distribution function. The distribution is characterized by a mean collision time and a variance of . A sample of the random phase modulation is shown below:In the next figure the

Fourier spectrum (magnitude) of theexperimentally observed(phase modulated) oscillator is compared with a similar experimental observations of the spectrum of acollision-broadenedoscillator at the same nominal frequency -- in this casestableLooking in a bit more detail, the experimentally observed real and imaginary components of the collision-broadened and stable spectrum is shown in the next figure

In the next set of figures, the

power spectrum of theexperimentally observedphase modulatedsignal is compared to that of astableoscillator at the same nominal frequency.

In the next set of figures, the

auto correlation of theexperimentally observedphase modulated signalis compared to that of astableoscillator at the same nominal frequency.

For comparison we look also at the case of

This page was prepared and is maintained by R. Victor Jones,

Last updated April 24, 2000