IEEE MTT-S International Microwave Symposium Digest, 2005. 2005
DOI: 10.1109/mwsym.2005.1516860
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Method of discrete singularities in the accurate modeling of a reflector beam waveguide

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Cited by 3 publications
(4 citation statements)
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“…In 2-D, such a field can be conveniently simulated with a Hankel function of the first kind and zero order of a complex argument due to complex-valued source point (CSP) -e.g. see [2,3]. This function is a rigorous solution to the Helmholtz equation; it behaves as a Gaussian beam in the near zone of paraxial domain and transforms into cylindrical wave off this domain.…”
Section: B Incident Fieldmentioning
confidence: 99%
See 1 more Smart Citation
“…In 2-D, such a field can be conveniently simulated with a Hankel function of the first kind and zero order of a complex argument due to complex-valued source point (CSP) -e.g. see [2,3]. This function is a rigorous solution to the Helmholtz equation; it behaves as a Gaussian beam in the near zone of paraxial domain and transforms into cylindrical wave off this domain.…”
Section: B Incident Fieldmentioning
confidence: 99%
“…To overcome this difficulty, fast-convergent and numerically efficient discretization of SIEs is offered by MDS [2]. Accurate MDS solutions to the direct scattering, i.e., the analysis, problems for 2-D quasioptical reflector antennas and beam waveguides have been reported in [2,3]. Due to its flexibility and speed, we have selected the SIE-MDS technique for the direct problem solver used as a full-wave engine for building a numerical synthesis code.…”
Section: Introductionmentioning
confidence: 99%
“…(aI/axj, &x,)S =2Re{KPo,x P)S2} (7) Here, it becomes necessary to introduce adjoint integral operators, which are determined from the identity 0, GV = (G 0, V for some complex functions and Vw On performing certain derivations and using adjoint integral operators, we finally obtain i =2Re{ 0 a U 10+yfu0nctioi jo ,21nt (8) where auxiliary function;j satisfies an adjoint SIE (9) Note that the operators involved in (8), (9) are either smooth or have log-singular kernels. Therefore all of them can be efficiently computed with MDS discretization.…”
Section: A Objective Functionmentioning
confidence: 99%
“…To overcome this difficulty and to improve convergence, convergent and numerically efficient discretization of SIEs is offered by the method of discrete singularities (MDS) [6,7]. Accurate MDS solutions to the direct scattering, i.e., the analysis, problems for 2-D quasioptical reflector antennas and beam waveguides have been reported in [8][9][10].…”
Section: Introductionmentioning
confidence: 99%