Nontrivial grating that possesses only specular characteristics: Normal incidence

Akhlesh Lakhtakia, Vasundara V. Varadan, Vijay K. Varadan

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

It is well known that gratings with horizontally pronounced periodicities produce nonspecular reflection (and transmission) modes depending on the frequency and the periodicity. Do gratings with vertically pronounced periodicities always do similarly well? This question is resolved by considering a grating made of an infinitely long slab of constant width in which perfectly conducting gratings are periodically inserted. Only normal incidence is considered, and an elementary modal theory has been used in which diffraction from knife edges has been neglected. From the computed results it is shown that such a grating always reflects and transmits specularly perfectly over wide frequency ranges irrespective of the periodicity of the grating, the dielectric constant of the slab (real), the width of the slab, or the polarization of the incident electromagnetic plane wave.

Original languageEnglish (US)
Pages (from-to)1788-1793
Number of pages6
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Volume3
Issue number11
DOIs
StatePublished - Jan 1 1986

Fingerprint

Permittivity
incidence
Diffraction
gratings
Polarization
periodic variations
slabs
plane waves
frequency ranges
permittivity
electromagnetism
conduction
polarization
diffraction

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Computer Vision and Pattern Recognition

Cite this

@article{3bfb7ec97cec4cbc99a1e6222c457a4d,
title = "Nontrivial grating that possesses only specular characteristics: Normal incidence",
abstract = "It is well known that gratings with horizontally pronounced periodicities produce nonspecular reflection (and transmission) modes depending on the frequency and the periodicity. Do gratings with vertically pronounced periodicities always do similarly well? This question is resolved by considering a grating made of an infinitely long slab of constant width in which perfectly conducting gratings are periodically inserted. Only normal incidence is considered, and an elementary modal theory has been used in which diffraction from knife edges has been neglected. From the computed results it is shown that such a grating always reflects and transmits specularly perfectly over wide frequency ranges irrespective of the periodicity of the grating, the dielectric constant of the slab (real), the width of the slab, or the polarization of the incident electromagnetic plane wave.",
author = "Akhlesh Lakhtakia and Varadan, {Vasundara V.} and Varadan, {Vijay K.}",
year = "1986",
month = "1",
day = "1",
doi = "10.1364/JOSAA.3.001788",
language = "English (US)",
volume = "3",
pages = "1788--1793",
journal = "Journal of the Optical Society of America A: Optics and Image Science, and Vision",
issn = "1084-7529",
number = "11",

}

Nontrivial grating that possesses only specular characteristics : Normal incidence. / Lakhtakia, Akhlesh; Varadan, Vasundara V.; Varadan, Vijay K.

In: Journal of the Optical Society of America A: Optics and Image Science, and Vision, Vol. 3, No. 11, 01.01.1986, p. 1788-1793.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Nontrivial grating that possesses only specular characteristics

T2 - Normal incidence

AU - Lakhtakia, Akhlesh

AU - Varadan, Vasundara V.

AU - Varadan, Vijay K.

PY - 1986/1/1

Y1 - 1986/1/1

N2 - It is well known that gratings with horizontally pronounced periodicities produce nonspecular reflection (and transmission) modes depending on the frequency and the periodicity. Do gratings with vertically pronounced periodicities always do similarly well? This question is resolved by considering a grating made of an infinitely long slab of constant width in which perfectly conducting gratings are periodically inserted. Only normal incidence is considered, and an elementary modal theory has been used in which diffraction from knife edges has been neglected. From the computed results it is shown that such a grating always reflects and transmits specularly perfectly over wide frequency ranges irrespective of the periodicity of the grating, the dielectric constant of the slab (real), the width of the slab, or the polarization of the incident electromagnetic plane wave.

AB - It is well known that gratings with horizontally pronounced periodicities produce nonspecular reflection (and transmission) modes depending on the frequency and the periodicity. Do gratings with vertically pronounced periodicities always do similarly well? This question is resolved by considering a grating made of an infinitely long slab of constant width in which perfectly conducting gratings are periodically inserted. Only normal incidence is considered, and an elementary modal theory has been used in which diffraction from knife edges has been neglected. From the computed results it is shown that such a grating always reflects and transmits specularly perfectly over wide frequency ranges irrespective of the periodicity of the grating, the dielectric constant of the slab (real), the width of the slab, or the polarization of the incident electromagnetic plane wave.

UR - http://www.scopus.com/inward/record.url?scp=84975576457&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84975576457&partnerID=8YFLogxK

U2 - 10.1364/JOSAA.3.001788

DO - 10.1364/JOSAA.3.001788

M3 - Article

AN - SCOPUS:84975576457

VL - 3

SP - 1788

EP - 1793

JO - Journal of the Optical Society of America A: Optics and Image Science, and Vision

JF - Journal of the Optical Society of America A: Optics and Image Science, and Vision

SN - 1084-7529

IS - 11

ER -