SCATTERING BY A SINUSOIDALLY STRATIFIED HALF SPACE.
Abstract
A detailed investigation of the scattering of a plane wave incident on a periodically-stratified medium is presented. The periodic medium occupies the x > 0 region, and the stratification occurs along the z direction and is produced by a sinusoidal modulation of the dielectric constant. By choosing the polarization parallel to the y coordinate, the fields in the stratified medium appear as solutions of a wave equation of the Mathieu type. The geometry employed herein is shown to serve as a basic configuration for a large number of applications dealing with optical-acoustic interactions, reflection gratings, periodic antennas and others. The modulated half space therefore represents a canonical problem which leads to rigorous solutions for the present polarization and to good approximations for the alternative polarization. By viewing the solution in terms of waves of the Floquet type, it is shown that the field consists of modes which travel independently and are coupled to each other only at the air-dielectric interface. The coupling mechanism is represented in terms of an equivalent network which lends insight into both qualitative and quantitative aspects of the diffracted field. Graphical constructions using dispersion diagrams are presented which greatly facilitate the understanding and interpretation of various field properties.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1966
- Accession Number
- AD0637450
Entities
People
- H. C. Wang
- T. Tamir
Organizations
- New York University Tandon School of Engineering