Distribution of the two-point product of complex amplitudes in the fully saturated scattering regime

Abstract

This Letter considers probability density functions (pdfs) involving products of the complex amplitudes observed at two points (which may, in general, involve separations in space, time, or frequency) in conditions of fully saturated scattering. First, the pdf is derived for the product of the complex amplitude at one point with the conjugate of the complex amplitude at another point. It is shown that the real and imaginary parts of this product each have a variance gamma pdf. Second, expressions are derived for several joint pdfs involving complex amplitude products and powers at two points.

Document Details

Document Type
Pub Defense Publication
Publication Date
Oct 01, 2020
Source ID
10.1121/10.0002143

Entities

People

  • Chris L. Pettit
  • D Keith Wilson
  • Vladimir E. Ostashev

Organizations

  • Cold Regions Research and Engineering Laboratory
  • University of Colorado Boulder

Tags

Readers

  • Organic Chemistry
  • Statistical inference.

Technology Areas

  • Space