Scattering by a Sinusoidally-stratified Half Space
Theodor Tamir · H. C. Wang
Jan 1966 · Air Force Cambridge Research Laboratories, Office of Aerospace Research, United States Air Force
Ebook
71
Pages
reportRatings and reviews aren’t verified Learn More
About this ebook
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.
Rate this ebook
Tell us what you think.
Reading information
Smartphones and tablets
Install the Google Play Books app for Android and iPad/iPhone. It syncs automatically with your account and allows you to read online or offline wherever you are.
Laptops and computers
You can listen to audiobooks purchased on Google Play using your computer's web browser.
eReaders and other devices
To read on e-ink devices like Kobo eReaders, you'll need to download a file and transfer it to your device. Follow the detailed Help Center instructions to transfer the files to supported eReaders.
