The Secant-Corrector Spectral Iterative Method for Analyzing Scattering from Planar Periodic Surfaces
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| Title: | The Secant-Corrector Spectral Iterative Method for Analyzing Scattering from Planar Periodic Surfaces |
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| Authors: | Middelveen, Robert |
| Committee Members: | Christodoulou, Christos; Christodoulou, Christos [VIAF] Christodoulou, Christos [LC] University of Central Florida. College of Engineering [VIAF] University of Central Florida. College of Engineering [LC] |
| Summary: | The secant method is applied to an iterative algorithm of electromagnetic scattering from planar surfaces with periodic structure. The theory of convergent solutions for iterative techniques is discussed and examined. The Secant method is applied to the spectral iteration approach to accelerate and assure convergence of the basic iterative scheme. The derivation of the method as applied to surfaces containing parallel thin wire gratings is presented, and the conditions for achieving convergence are explored. This new method is also applied to gratings made of coated wires. The reflection characteristics of the grating as a function of wire spacing, wire conductivity, and polarization of the incident field are computed, and the results are compared with those of previous works. Suggestions and recommendations for applying the method to more complicated structures are also included. |
| URL: | https://stars.library.ucf.edu/rtd/4913 |
| Database: | OpenDissertations |
| Abstract: | The secant method is applied to an iterative algorithm of electromagnetic scattering from planar surfaces with periodic structure. The theory of convergent solutions for iterative techniques is discussed and examined. The Secant method is applied to the spectral iteration approach to accelerate and assure convergence of the basic iterative scheme. The derivation of the method as applied to surfaces containing parallel thin wire gratings is presented, and the conditions for achieving convergence are explored. This new method is also applied to gratings made of coated wires. The reflection characteristics of the grating as a function of wire spacing, wire conductivity, and polarization of the incident field are computed, and the results are compared with those of previous works. Suggestions and recommendations for applying the method to more complicated structures are also included. |
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