31 December 2003 Local spherical interface approximation in the analysis of field propagation through modulated interfaces
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Local Spherical Interface Approximation (LSIA) for modelling the propagation of electromagnetic wave fields through analog interfaces is introduced. The method belongs to a class of Local Elementary Interface Approximation (LEIA) in which the propagation is modelled by decomposing the field into local elementary fields. In the method introduced here both the phase-distribution of the field and the boundary of discontinuity are assumed to be locally spherical, which enables the use of Coddington's equations in the determination of the reflected and transmitted fields. The amplitude reflection and transmission is treated with the help of the intensity law of geometrical optics and the energy conservation law. Convergence comparison between LSIA and Local Plane Interface Approximation (LPIA) is performed for a sinusoidal diffraction grating. The accuracy of the method is illustrated with a numerical example.
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Hanna Lajunen, Jani Tervo, Tuomas Vallius, Jari Turunen, Frank Wyrowski, "Local spherical interface approximation in the analysis of field propagation through modulated interfaces", Proc. SPIE 5182, Wave-Optical Systems Engineering II, (31 December 2003); doi: 10.1117/12.509476; https://doi.org/10.1117/12.509476


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