S-matrix propagation algorithm for electromagnetics of multilayer grating structures

Mark Auslender; Shlomo Hava

doi:10.1117/12.239639

7 May 1996 S-matrix propagation algorithm for electromagnetics of multilayer grating structures

Mark Auslender, Shlomo Hava

Proceedings Volume 2689, Diffractive and Holographic Optics Technology III; (1996) https://doi.org/10.1117/12.239639
Event: Photonics West '96, 1996, San Jose, CA, United States

Abstract

The scattering of plane wave incident on multilayer structure, refractive index in each layer being a function of one lateral dimension in layers plane, is considered in symbolic vector- operator form. In this framework a S-matrix propagation algorithm is developed, which rigorously eliminates backscattering from solution procedure. In the case of grating layers with unique-period refractive indices the S-matrix propagation algorithm is implemented with Fourier-transform technique of numerical solution. Stability upon increasing truncation order, layers depths and number, and a high-precision holding of power conservation test within the S-matrix propagation are found. Convergence issue for Fourier-transform implementation in TM polarization is recapitulated and a new recipe of its using is suggested. The examples of optimal designs are considered.

Citation Download Citation

Mark Auslender and Shlomo Hava "S-matrix propagation algorithm for electromagnetics of multilayer grating structures", Proc. SPIE 2689, Diffractive and Holographic Optics Technology III, (7 May 1996); https://doi.org/10.1117/12.239639

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