2007
DOI: 10.1364/josaa.24.003606
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Method of integral functionals for electromagnetic wave scattering from a double-periodic magnetodielectric layer

Abstract: A numerical method in the frequency domain is developed for analyzing three-dimensional gratings using the concept of a double-periodic magnetodielectric layer. The method is based on the three-dimensional volume integral equations for the equivalent electric and magnetic polarization currents of the assumed periodic medium. The integral equations are solved by using the integral functionals related to the polarization current distributions and the technique of double Floquet-Fourier series expansion. Once the… Show more

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Cited by 32 publications
(16 citation statements)
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“…Material blocks have a square shaped cross section with side length 0.5d. The results are shown in Figure 3(b), in which they are compared to a hybrid FE/BI method [4] and integral functionals method [5]. For this example L given in equation (2) was 2 (i.e.…”
Section: Numerical Resultsmentioning
confidence: 99%
“…Material blocks have a square shaped cross section with side length 0.5d. The results are shown in Figure 3(b), in which they are compared to a hybrid FE/BI method [4] and integral functionals method [5]. For this example L given in equation (2) was 2 (i.e.…”
Section: Numerical Resultsmentioning
confidence: 99%
“…The estimation of the scattered field coefficients for a plane wave incident on a periodic gyromagnetic layer is an independent scattering problem. It was solved in [25,26] using numerical-analytical method in the frequency domain, based on a set of the volume integro-differential equations for the equivalent electric and magnetic polarization currents of the layer in vectorial form (so-called "method of integral functionals").…”
Section: Methods Of Analysismentioning
confidence: 99%
“…Scattering theory in biperiodic structures has many important applications in micro-optics, where the biperiodic structures are also termed as 2D gratings or crossed gratings. We refer to Dobson and Friedman [27], Abboud [1], Bao [7], Bao, Dobson, and Cox [11], Bao and Dobson [10], Bao and Zhou [13], Li [33], Yachin and Yasumoto [49], and Chang, Li, Chu, and Opsal [20] for the existence, uniqueness, and numerical approximations of solutions to 2D grating problems. An introduction to grating problems can be found in Petit [41].…”
Section: ×3mentioning
confidence: 99%