Skip to main content
U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

Angular Distribution of Light Scattered From a Sinusoidal Grating



Egon Marx, Thomas A. Germer, Theodore V. Vorburger, B C. Park


The angular distributions of light scattered by gold-coated and aluminum-coated gratings having amplitudes of ~90 nm and periods of 6.67 ¿m were measured and calculated for light incident from a HeNe laser at an angle of 6E. Experimental results are compared with predictions of Beckmann's scalar theory and Rayleigh's vector theory. The measured scattering pattern has a background of scattered light due mainly to residual surface roughness. Also the power in the higher-order peaks is larger by several orders of magnitude than the computed one, which can be attributed mainly to the low-order contributions of the harmonics in the profile.
Applied Optics
No. 25


BRDF instrument harmonics light scattering residual roughness sinusoidal grating stylus instrument


Marx, E. , Germer, T. , Vorburger, T. and Park, B. (2000), Angular Distribution of Light Scattered From a Sinusoidal Grating, Applied Optics (Accessed May 21, 2024)


If you have any questions about this publication or are having problems accessing it, please contact

Created January 1, 2000, Updated February 19, 2017