Plane-wave expansions methods applied to the calculation of the optical scattering by one-dimensional randomly rough dielectric surfaces

Stephane Mainguy

doi:10.1117/12.162664

1 December 1993 Plane-wave expansions methods applied to the calculation of the optical scattering by one-dimensional randomly rough dielectric surfaces

Stephane Mainguy

Author Affiliations +

Proceedings Volume 1995, Optical Scattering: Applications, Measurement, and Theory II; (1993) https://doi.org/10.1117/12.162664
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

Abstract

In this paper, we present a numerical study of optical waves scattered by rough surfaces. The calculations are based on the use of plane-wave expansions to describe the reflected and transmitted fields on the surface (also known as the Rayleigh hypothesis). This theory is applied to one-dimensional randomly rough dielectric surfaces, by using a random grating numerical generation. Two methods are recalled for the straightforward numerical implementation of the theory: the Point-Matching Method (PMM) and the Fourier Series Method (FSM). Examples of results for a metallic and a dielectric surface, obtained with the latter method, are in good agreement with calculations by an exact numerical method. It is reported that the FSM has a wider domain of validity but that the PMM has a faster computation time.

Citation Download Citation

Stephane Mainguy "Plane-wave expansions methods applied to the calculation of the optical scattering by one-dimensional randomly rough dielectric surfaces", Proc. SPIE 1995, Optical Scattering: Applications, Measurement, and Theory II, (1 December 1993); https://doi.org/10.1117/12.162664

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available