Envelope-function approach for the electrodynamics of nonlinear periodic structures
- 1 November 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 38 (10), 5149-5165
- https://doi.org/10.1103/physreva.38.5149
Abstract
An envelope-function approach is used to give a theoretical description of the electromagnetic properties of nonlinear periodic structures. This method, in which the electric field is separated into slow and fast spatial components, shows that the slow field component satisfies the nonlinear Schrödinger equation. The well-known soliton solutions of this equation provide a theoretical description of the gap solitons found by Chen and Mills [Phys. Rev. Lett. 58, 160 (1987)] in their numerical studies of these structures. The more general solutions of the nonlinear Schrödinger equation provide a framework for understanding the properties of finite nonlinear periodic stacks. Our method allows us to find these solutions analytically.Keywords
This publication has 11 references indexed in Scilit:
- Nonlinear Schrödinger solitons in a periodic structureOptics Letters, 1988
- Optical response of nonlinear multilayer structures: Bilayers and superlatticesPhysical Review B, 1987
- Gap solitons in nonlinear periodic structuresPhysical Review B, 1987
- Ionic contributions to the Raman tensor of insulatorsPhysical Review B, 1987
- Gap solitons and the nonlinear optical response of superlatticesPhysical Review Letters, 1987
- Pulse compression in optical fiber filtersApplied Physics Letters, 1985
- Superlattice band structure in the envelope-function approximationPhysical Review B, 1981
- Photosensitivity in optical fiber waveguides: Application to reflection filter fabricationApplied Physics Letters, 1978
- Motion of Electrons and Holes in Perturbed Periodic FieldsPhysical Review B, 1955
- Handbook of Elliptic Integrals for Engineers and PhysicistsPublished by Springer Nature ,1954