Diffraction of Light by Ultrasound: Extension of the Brillouin Theory
- 1 May 1971
- journal article
- Published by IOP Publishing in Japanese Journal of Applied Physics
- Vol. 10 (5)
- https://doi.org/10.1143/jjap.10.611
Abstract
Intensity distribution amongst various orders of the diffraction spectrum produced by ultrasonic-wave grating is obtained by extending the Brillouin's theory [Actualités Scientifiques et Industrielles, No. 59 (1933)]. Numerical computation is performed by using the values of the expansion coefficients of the Mathieu functions and their characteristic values as obtained from “Tables Relating to Mathieu Functions” prepared by the National Bureau of Standards (Columbia Univ. Pr. 1951). Computations up to θ=6.25 is possible by using this table, while the original Brillouin theory is valid for θ\lesssim0.1. Here θ=n 0δn 0\varLambda2/λ2, where n 0 is the index of refraction of the medium and δn 0 its variation in the sound field, and \varLambda and λ are the wavelength of sound and light, respectively.Keywords
This publication has 3 references indexed in Scilit:
- Optical Effects of Ultrasonic Waves Producing Phase and Amplitude ModulationThe Journal of the Acoustical Society of America, 1962
- Mathieusche Funktionen und SphäroidfunktionenPublished by Springer Nature ,1954
- The diffraction of light by high frequency sound waves: Part I.Proceedings of the Indian Academy of Sciences - Section A, 1935