Threshold of the optical backward-wave parametric oscillator

Author

Aslaksen, Erik W.

Author_Institution

Research Center, Brown, Boveri, & Co., Baden, Switzerland

Volume

6

Issue

10

fYear

1970

fDate

10/1/1970 12:00:00 AM

Firstpage

612

Lastpage

616

Abstract

We present a discussion of the threshold condition for the optical backward-wave parametric oscillator, taking into account diffraction due to the finite transverse extent of the fields, and using three transverse modes of both the forward- and backward-wave fields. The coupled differential equations are solved numerically, and the threshold is obtained by minimizing the pump field with respect to the parameters of the forward- and backward-wave fields. Denoting the confocal parameters by $b_{1}, b_{2}$ , and b3for the backward, forward, and pump waves, respectively, and if the length of the crystal is 1, we find that for $1/b_{3} \\geq 2$ , we may set $b_{1} = b_{2} =b_{3}$ . For most purposes, the phase-matching condition may be taken as $k_{2} = k_{1} + k_{3}$ . Also, when calculating the threshold, it is adequate to consider only the two lowest order transverse modes of the forward-and backward-wave fields.

Keywords

Dielectrics; Differential equations; Frequency conversion; Helium; Microwave oscillators; Nonlinear optics; Optical diffraction; Optical frequency conversion; Optical pumping; Partial differential equations;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/JQE.1970.1076327

Filename

1076327