
Spatial modes of phase-sensitive parametric image amplifiers with circular and elliptical Gaussian pumps
Author(s) -
Muthiah Annamalai,
N. Stelmakh,
Michael Vasilyev,
Prem Kumar
Publication year - 2011
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.19.026710
Subject(s) - optics , physics , parametric statistics , gaussian , amplifier , spatial filter , degenerate energy levels , mathematics , quantum mechanics , optoelectronics , statistics , cmos
We develop a method for finding the number and shapes of the independently squeezed or amplified modes of a spatially-broadband, travelling-wave, frequency- and polarization-degenerate optical parametric amplifier in the general case of an elliptical Gaussian pump. The obtained results show that for tightly focused pump only one mode is squeezed, and this mode has a Gaussian TEM(00) shape. For larger pump spot sizes that support multiple modes, the shapes of the most-amplified modes are close to Hermite- or Laguerre-Gaussian profiles. These results can be used to generate matched local oscillators for detecting high amounts of squeezing and to design parametric image amplifiers that introduce minimal distortion.