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Unification of the geometric and diffractive theories of electromagnetic fields
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F. Wyrowski
Institut für Angewandte Physik, Friedrich-Schiller-Universität Jena
frank.wyrowski@uni-jena.de |
At the Annual Meeting of the DGaO in 2015 we presented a geometric field tracing concept which enables its direct combination with diffractive techniques. Our approach then was a heuristic one. We described the theoretical motivation and the algorithms alongside demonstrations of its feasibility. This time we present a further step in the development of a unified physical optics model, together with a theoretical derivation. The main pillars of the model are: (1) Most fundamentally, solving Maxwell’s equations in the k-domain. (2) Switching between the k and space domains by either regular or geometric Fourier transform, depending on which traits dominate the propagation of the field at each particular location. (3) Modeling the effect of optical components by so-called bidirectional operators, of which the BSDF is a special instance in the case of energy tracing, or the S matrix in the case of stratified media and gratings. (4) Introduction of geometric bidirectional operators. The combination of these concepts results in a physical optics theory, with a fast modeling algorithm, which inherently applies geometric and diffractive models in a well-defined, cogent way. |
Keywords:
Theoretische Grundlagen, Beugungstheorie, Optische Systeme |
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