Exact field decomposition for TM waves in nonlinear media
- 1 October 1987
- journal article
- Published by Optica Publishing Group in Optics Letters
- Vol. 12 (10) , 826-828
- https://doi.org/10.1364/ol.12.000826
Abstract
We show that the electric field components Ex and Ez of a transverse magnetic (TM) wave propagating in a nonlinear medium can be formally decomposed through a conservation law, provided that ∂∊xx/∂Ez2 = ∂∊zz/∂Ex2. If this condition is satisfied, then the electromagnetic field distribution can be exactly obtained by quadrature. For the case of a guided nonlinear TM mode, our procedure can be employed to establish the eigenvalue equation directly.Keywords
This publication has 9 references indexed in Scilit:
- Exact dispersion relations for transverse magnetic polarized guided waves at a nonlinear interfaceOptics Letters, 1987
- Exact theory of nonlinearp-polarized optical wavesPhysical Review A, 1987
- Nonlinear integrated opticsJournal of Applied Physics, 1985
- Nonlinear guided waves in saturable nonlinear mediaOptics Letters, 1985
- p-polarized nonlinear surface polaritons in materials with intensity-dependent dielectric functionsPhysical Review B, 1985
- Analytical expressions for the propagation characteristics of TM waves in nonlinear self‐focusing mediaRadio Science, 1983
- Surface wave at a nonlinear interfaceOptics Letters, 1980
- TM waves in nonlinear self-focusing mediaRadio Science, 1975
- Study of Optical Effects Due to an Induced Polarization Third Order in the Electric Field StrengthPhysical Review B, 1965