Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Rigorous analysis of diffraction gratings of arbitrary profiles using virtual photonic crystals

Not Accessible

Your library or personal account may give you access

Abstract

A new approach is developed to calculate diffraction efficiency for a dielectric grating with an arbitrary refractive index profile. By treating a one-dimensional grating as a segment of a virtual two-dimensional (2D) photonic crystal, we exploit a rigorous theory of photonic crystal refraction and calculate the diffraction efficiencies. We expand, analytically in many cases, the dielectric function of the grating into 2D Fourier series. We find the eigenmodes for the virtual photonic crystal, and then use these eigenmodes to match the boundary conditions by solving a set of linear equations. In two such simple steps, the diffraction efficiencies can be computed rigorously without slicing the grating into thin layers.

© 2006 Optical Society of America

Full Article  |  PDF Article
More Like This
Algorithm for the rigorous coupled-wave analysis of grating diffraction

Nicolas Chateau and Jean-Paul Hugonin
J. Opt. Soc. Am. A 11(4) 1321-1331 (1994)

Modified rigorous coupled-wave analysis for multi-layer deformable gratings with arbitrary profiles and materials

Caorui Zhang, Fangjing Hu, and Ji Fan
J. Opt. Soc. Am. A 39(12) 2186-2192 (2022)

Pseudo-Fourier modal analysis on dielectric slabs with arbitrary longitudinal permittivity and permeability profiles

Hwi Kim, Seyoon Kim, Il-Min Lee, and Byoungho Lee
J. Opt. Soc. Am. A 23(9) 2177-2191 (2006)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (4)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (1)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (31)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved