Premium
A new method for the calculation of Fock scattering functions
Author(s) -
Afacan Erkan,
Yazgan Erdem
Publication year - 1999
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/(sici)1098-2760(19990505)21:3<223::aid-mop19>3.0.co;2-c
Subject(s) - lagrange polynomial , fock space , interpolation (computer graphics) , microwave , scattering , chebyshev polynomials , point (geometry) , mathematics , property (philosophy) , diffraction , mathematical analysis , computer science , optics , physics , quantum mechanics , geometry , polynomial , image (mathematics) , philosophy , epistemology , artificial intelligence
Fock scattering functions are necessarily used in the solution of curved surface diffraction problems faced by terrestrial communication system designers. These functions must be interpolated when their arguments are between −3 and 2. In the conventional method, a two‐point Lagrange formula is used for interpolation, and 51 complex coefficients are needed. In this study, it is shown that Fock scattering functions can be evaluated by using the minimum property of Chebyshev polynomials. In this approach, only 20 complex coefficients are enough. This method is found to be less memory demanding, less time consuming, and consequently more efficient than Lagrange interpolation. ©1999 John Wiley & Sons, Inc. Microwave Opt Technol Lett 21: 223–226, 1999.