Modal method by Fourier expansion for modeling crossed gratings

Lifeng Li

doi:10.1117/12.274421

15 May 1997 Modal method by Fourier expansion for modeling crossed gratings

Lifeng Li

Proceedings Volume 3010, Diffractive and Holographic Device Technologies and Applications IV; (1997) https://doi.org/10.1117/12.274421
Event: Photonics West '97, 1997, San Jose, CA, United States

Abstract

A new formulation of the modal method by Fourier expansion (MMFE), that uses the correct rules of Fourier factorization, for crossed surface-relief gratings is presented. By numerical examples, the new MMFE is shown to converge much faster than the old MMFE. For the first time the MMFE is used to produce convergent numerical results for metallic crossed gratings. In addition, the new formulation uses a general non-rectangular Cartesian coordinate system, which gives the MMFE greater generality and in some cases the ability to save computer memory and computation time. Two matrix truncation schemes, the customary parallelogramic truncation and a new circular truncation, are considered. Numerical experiments show that the former is superior.

Citation Download Citation

Lifeng Li "Modal method by Fourier expansion for modeling crossed gratings", Proc. SPIE 3010, Diffractive and Holographic Device Technologies and Applications IV, (15 May 1997); https://doi.org/10.1117/12.274421

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