Abstract

The problem of diffraction by slanted lamellar dielectric and metallic gratings in classical mounting is formulated as an eigenvalue eigenvector problem. The numerical solution is obtained by using the moment method with Legendre polynomials as expansion and test functions, which allows us to enforce in an exact manner the boundary conditions which determine the eigensolutions. Our method is successfully validated by comparison with other methods including in the case of highly slanted gratings.

© 2017 Optical Society of America

Polynomial modal analysis of lamellar diffraction gratings in conical mounting

Manjakavola Honore Randriamihaja, Gérard Granet, Kofi Edee, and Karyl Raniriharinosy
J. Opt. Soc. Am. A 33(9) 1679-1686 (2016)

Modal method for classical diffraction by slanted lamellar gratings

Sam Campbell, Lindsay C. Botten, Ross C. McPhedran, and C. Martijn de Sterke
J. Opt. Soc. Am. A 25(10) 2415-2426 (2008)

Modal method for conical diffraction by slanted lamellar gratings

S. Campbell, L. C. Botten, R. C. McPhedran, and C. Martijn de Sterke
J. Opt. Soc. Am. A 26(4) 938-948 (2009)

Spectral element method with modified Legendre polynomials for modal analysis of lamellar gratings

Gérard Granet
J. Opt. Soc. Am. A 38(1) 52-59 (2021)

Modal method based on subsectional Gegenbauer polynomial expansion for lamellar gratings

Kofi Edee
J. Opt. Soc. Am. A 28(10) 2006-2013 (2011)