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diffraction; periodic structure; multilayer grating; singular integral formulation; recursive algorithm

References:

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[11] Schmidt, G.: **Boundary integral methods for periodic scattering problems**. In: Around the Research of Vladimir Maz'ya II. Partial Differential Equations International Mathematical Series 12 Dordrecht: Springer A. Laptev (2010), 337-363. MR 2676182 | Zbl 1189.78026

[12] Schmidt, G., Kleemann, B. H.: **Integral equation methods from grating theory to photonics: An overview and new approaches for conical diffraction**. J. Mod. Opt 58 (2011), 407-423. DOI 10.1080/09500340.2010.538734 | Zbl 1221.78050