Abstract

In the case of three parametrically interacting beams of light, one beam (the pump beam) is usually known. In addition, it is often assumed that one or both of the other two beams are bounded by resonators, which simplifies the problem considerably. We present a variational method which can be used when the above assumption is not fulfilled, and we apply this method to the theory of the backward-wave parametric oscillator. Diffraction determines the operating point of such an oscillator, and also the angular part of the complex eigenvalue (which is just the phase mismatch Δk) has a discrete spectrum.

© 1971 Optical Society of America

Asymptotic Theory for Beam Propagation in a Random Medium*

Mark J. Beran and Alan M. Whitman
J. Opt. Soc. Am. 61(8) 1044-1050 (1971)

Theory of Certain Diffraction Gratings Produced by the Holographic Method

M. V. R. K. Murty and N. C. Das
J. Opt. Soc. Am. 61(8) 1001-1006 (1971)

Temporal-Frequency Spectra for a Spherical Wave Propagating through Atmospheric Turbulence

S. F. Clifford
J. Opt. Soc. Am. 61(10) 1285-1292 (1971)

Propagation of the Nth-Order Coherence Function in a Random Medium. The Governing Equations

John E. Molyneux
J. Opt. Soc. Am. 61(2) 248-255 (1971)

Propagation of the Nth-Order Coherence Function in a Random Medium, II. General Solutions and Asymptotic Behavior

John E. Molyneux
J. Opt. Soc. Am. 61(3) 369-377 (1971)