Abstract

The Stokes and anti-Stokes Raman-scattering equations with pump depletion are solved for focusing in rotationally symmetric geometry using a Gauss–Laguerre decomposition. This decomposition results in a mode-coupling matrix that is an integral over products of Laguerre polynomials. In order to evaluate this matrix, we use a recursive technique. Three examples are given that show Stokes and anti-Stokes extraction for Gaussian and annular input pump beams with confocal parameters equal to 3, 5, and 8 cm focused in the center of a 25-cm cell.

© 1987 Optical Society of America

Diffractive Raman scattering in focused geometry

A. Gavrielides and Phillip Peterson
J. Opt. Soc. Am. B 3(10) 1394-1407 (1986)

Temporally resolved ring-shaped patterns beyond the phase-matching angle in the Stokes and anti-Stokes waves

Mitsutoshi Suzuki, Satoshi Wada, and Hideo Tashiro
J. Opt. Soc. Am. B 14(7) 1672-1679 (1997)

Cancellation of laser phase fluctuations in Stokes and anti-Stokes generation

Z. W. Li, C. Radzewicz, and M. G. Raymer
J. Opt. Soc. Am. B 5(11) 2340-2347 (1988)

Stimulated anti-Stokes Raman scattering with Bessel beams in hydrogen gas

Ulrich Theodor Schwarz, Jürgen Zeitler, Jürgen Baier, Max Maier, and Suren Sogomonian
J. Opt. Soc. Am. B 20(8) 1750-1757 (2003)

Effective method of anti-Stokes generation by quasi-phase-matched stimulated Raman scattering

Nikolai S. Makarov and Victor G. Bespalov
J. Opt. Soc. Am. B 22(4) 835-843 (2005)