Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Four-wave mixing isolas

Not Accessible

Your library or personal account may give you access

Abstract

Collinear degenerated four-wave mixing can demonstrate optical bistability with hysteretic response.1 For this system, we predict the existence of multistable isolated nonhysteretic branches of solution (so-called isolas). We consider two optical beams with the same frequency counterpropagating along the z axis in a Kerrlike medium. Their total electric field is E = [E1 exp (ikz) + E2 exp(−ikz)] exp(−iωt), where E1 and E2 are the vectorial envelope of forward and backward waves, respectively. The influence of the Kerrlike medium enters through the nonlinear polarization2 PNL = χ [AE(E · E*) + BE*(E · E)], where χ is a constant of nonlinear interaction for a single linearly polarized plane wave; A and B(A + B= 1) are dimensionless constants dependent on the particular mechanism of nonlinearity. The wave equations3 for the electric fields Ej(j = 1,2) in general can be solved in terms of an elliptic integral. For special cases B=0 (which corresponds to the electrostriction mechanism of nonlinearity) and B = 0.5, analytical solutions can be found. Both analytical solutions (for B = 0 or B = 0.5) and numerical solutions4 (for other values of B) exhibit a new remarkable feature of optical multi-stability in four-wave mixing: the existence of multiple isolated branches of solutions (isolas), the total number of which depends on the intensity of the waves. The results of these calculations are shown at Figs. 1 and 2 for the case when one of the beams (e.g., the second one) is circularly polarized at the plane of incidence.

© 1986 Optical Society of America

PDF Article
More Like This
Multiple Isolated Branches in Four-Wave Mixing Optical Bistability

A. E. Kaplan and C. T. Law
FB3 Instabilities and Dynamics of Lasers and Nonlinear Optical Systems (IDLNOS) 1985

Symmetry-breaking bifurcations and polarization instability in degenerate four-wave mixing

GIOVANNI GREGORI and STEFAN WABNITZ
FHH3 International Quantum Electronics Conference (IQEC) 1986

Reflectivity scaling with fluence in picosecond four-wave mixing

J. MENDERS and C.-C. SHIH
FBB5 International Quantum Electronics Conference (IQEC) 1986

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved