2007
DOI: 10.1364/josaa.24.002831
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Numerical analysis and synthesis of 2D quasi-optical reflectors and beam waveguides based on an integral-equation approach with Nystrom's discretization

Abstract: Considered is the beam wave guidance and scattering by 2D quasi-optical reflectors modeling the components of beam waveguides. The incident field is taken as the complex-source-point field to simulate a finite-width beam generated by a small-aperture source. A numerical solution is obtained from the coupled singular integral equations (SIEs) for the surface currents on reflectors, discretized by using the recently introduced Nystrom-type quadrature formulas. This analysis is applied to study what effect the ed… Show more

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Cited by 26 publications
(14 citation statements)
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“…, where is the real position vector and ib is the complex vector, which characterizes the beam direction and its width (see [3][4][5] and [9,10] for details).…”
Section: Formulationmentioning
confidence: 99%
See 1 more Smart Citation
“…, where is the real position vector and ib is the complex vector, which characterizes the beam direction and its width (see [3][4][5] and [9,10] for details).…”
Section: Formulationmentioning
confidence: 99%
“…However these papers did not present reliable numerical data for arbitrary profiles; nor they attacked electrically larger geometries. A different numerical approach is based on the Nystrom-type interpolation techniques, which are efficient for large reflectors up to quasioptical size and multi-reflector configurations [8][9][10]. In all above mentioned studies the solutions have been performed only for perfectly electric conducting (PEC) zero-thickness surfaces.…”
Section: Introductionmentioning
confidence: 99%
“…The Nystrom-type methods are popular methods of numerical solution of boundary integral equations of mathematical diffraction theory [1,2,3,4]. In the countries of the former Soviet Union, some variants of Nystromtype methods are called methods of discrete vortices [5,6] or methods of discrete singularities [7].…”
Section: Introductionmentioning
confidence: 99%
“…In the countries of the former Soviet Union, some variants of Nystromtype methods are called methods of discrete vortices [5,6] or methods of discrete singularities [7]. In the articles [1,2,3,4] and many others (see. [8]) the solution of mathematical electrodynamics problems is carried out in two stages.…”
Section: Introductionmentioning
confidence: 99%
“…The alternative to MAR is the meshless Nystrom-type numerical algorithms having guaranteed convergence and developed recently for 2-D problems [11], [12], [31]. Here, the current density is sought as a product of unknown smooth function and known weight.…”
Section: Introductionmentioning
confidence: 99%