Physical interpretation of a~mathematical strict solution for the diffraction problem by means of heuristic formulas

M. V. Vesnik

Contemporary Mathematics. Fundamental Directions, Proceedings of the Seminar on Differential and Functional Differential Equations supervised by A. L. Skubachevskii (Peoples' Friendship University of Russia), Tome 62 (2016), pp. 32-52.

Résumé

We propose a new approach to constructing heuristic formulas describing the solution of the diffraction problem. The formulas are based on physical principles and allow one to interpret the results of the mathematical strict solution. Since the heuristic formulas possess high performance and accuracy, they can also be used along with any strict approaches or experimental results for significant improvement of efficiency of solution of practical problems related to applications of the diffraction theory.

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