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The article encloses a new Fourier space method for rigorous opticalsimulation of 3D periodic dielectric structures. The method relies uponrigorous solution of Maxwell's equations in complex composite structures by theGeneralized Source Method. Extremely fast GPU enabled calculations provide apossibility for an efficient search of eigenmodes in 3D periodic complexstructures on the basis of rigorously obtained resonant electromagneticresponse. The method is applied to the homogenization problem demonstrating acomplete anisotropic dielectric tensor retrieval.

3D periodic dielectric composite homogenization based on the Generalized Source Method