Resonance diffraction of electromagnetic waves on impedance gratings under grazing incidence

Nataliya A. Balakhonova; Alexandre V. Kats

doi:10.1117/12.505047

16 October 2003 Resonance diffraction of electromagnetic waves on impedance gratings under grazing incidence

Nataliya A. Balakhonova, Alexandre V. Kats

Proceedings Volume 5189, Surface Scattering and Diffraction III; (2003) https://doi.org/10.1117/12.505047
Event: Optical Science and Technology, SPIE's 48th Annual Meeting, 2003, San Diego, California, United States

Abstract

As it is well known, the diffraction of p- polarized wave on metal gratings may be accompa-nied by Wood type anomalies, caused by resonance excitation of surface plasmon polaritons. In the report we present the results of the analytical and numerical investigation of the reso-nance diffraction for grazing incidence on the gratings with period larger than the wavelength. In this case a number of diffracted orders, corresponding to evanescent waves may be close to the resonance simultaneously, i.e., we have multiple resonance case. We consider the high conducting plane surface with harmonically modulated surface impedance, presenting small parameter of the theory. Contrary to the case of single or double resonance case, the infinite set of the linear algebraic equations for the diffracted wave ampli-tudes cannot be reduced to one or two equations for the resonance wave amplitudes. But for the harmonic grating, the matrix of the system is Jacobi one and thus the solution may be presented in the continued fractions form. The results are analyzed as functions of the wavelength to grating period ratio 0.1...0.0003, and grazing angle 0...30 deg. It is shown that a number of evanescent wave am-plitudes can exceed amplitude of the incident wave and possess complicated behavior as func-tion of parameters. The specular reflectivity is of complicated behavior also and in some cases it is similar to the one obtained in numerical calculations and experiments for deep profile gratings.

Citation Download Citation

Nataliya A. Balakhonova and Alexandre V. Kats "Resonance diffraction of electromagnetic waves on impedance gratings under grazing incidence", Proc. SPIE 5189, Surface Scattering and Diffraction III, (16 October 2003); https://doi.org/10.1117/12.505047

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

Members: $17.00

Non-members: $21.00 ADD TO CART

PROCEEDINGS
8 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Diffraction

Reflectivity

Diffraction gratings

Modulation

Grazing incidence

Metals

Wave propagation

Show All Keywords

Keywords/Phrases

Search In:

Publication Years