Pub Date : 2008-07-29DOI: 10.1109/MMET.2008.4580897
K. Tanaka, M. Tanaka, K. Katayama
The guided waves in the surface plasmon polariton gap waveguide (SPGW) excited through an aperture have been investigated by the three-dimensional simulations using a volume integral equation. The complex propagation constants of the guided waves have been calculated from the simulated optical fields using the least-squares fitting. Applications of SPGWs to nanosize E-plane planar optical circuits are also demonstrated.
{"title":"Simulations of nanometric optical circuits by surface plasmon polariton gap waveguide","authors":"K. Tanaka, M. Tanaka, K. Katayama","doi":"10.1109/MMET.2008.4580897","DOIUrl":"https://doi.org/10.1109/MMET.2008.4580897","url":null,"abstract":"The guided waves in the surface plasmon polariton gap waveguide (SPGW) excited through an aperture have been investigated by the three-dimensional simulations using a volume integral equation. The complex propagation constants of the guided waves have been calculated from the simulated optical fields using the least-squares fitting. Applications of SPGWs to nanosize E-plane planar optical circuits are also demonstrated.","PeriodicalId":141554,"journal":{"name":"2008 12th International Conference on Mathematical Methods in Electromagnetic Theory","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115240664","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2008-07-29DOI: 10.1109/MMET.2008.4581005
M. Legenkiy, A. Butrym
The paper considers generalization of Mode Basis Method on the case of open dielectric waveguides. Spectrum condensing was analyzed on the example of a rectangular waveguide with a dielectric layer when one of the walls is moved to infinity. At this the spectrum is partitioned into discrete (surface waves) and continuous (volume waves) parts. Some properties of this condensing were analyzed. Field expansion on such a nonuniform spectrum was illustrated numerically.
{"title":"Mode basis method for open dielectric waveguides","authors":"M. Legenkiy, A. Butrym","doi":"10.1109/MMET.2008.4581005","DOIUrl":"https://doi.org/10.1109/MMET.2008.4581005","url":null,"abstract":"The paper considers generalization of Mode Basis Method on the case of open dielectric waveguides. Spectrum condensing was analyzed on the example of a rectangular waveguide with a dielectric layer when one of the walls is moved to infinity. At this the spectrum is partitioned into discrete (surface waves) and continuous (volume waves) parts. Some properties of this condensing were analyzed. Field expansion on such a nonuniform spectrum was illustrated numerically.","PeriodicalId":141554,"journal":{"name":"2008 12th International Conference on Mathematical Methods in Electromagnetic Theory","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127468847","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2008-07-29DOI: 10.1109/MMET.2008.4580949
A. Hussain, M. Faryad, Q. Naqvi
Geometrical optics (GO) fields of a fractional dual parabolic cylindrical reflector have been studied around the focusing region using Maslovpsilas method. GO fields contain both co- and cross-polarized components. Considering perfect electric conductor as original case, magnitudes of the GO fields do not depend upon the fractional parameter. For impedance boundary reflector as original case, the field components depend upon the fractional parameter. Dependence of co-polarized and cross-polarized field components in different ranges of surface impedance has been studied.
{"title":"Fractional dual parabolic cylindrical reflector","authors":"A. Hussain, M. Faryad, Q. Naqvi","doi":"10.1109/MMET.2008.4580949","DOIUrl":"https://doi.org/10.1109/MMET.2008.4580949","url":null,"abstract":"Geometrical optics (GO) fields of a fractional dual parabolic cylindrical reflector have been studied around the focusing region using Maslovpsilas method. GO fields contain both co- and cross-polarized components. Considering perfect electric conductor as original case, magnitudes of the GO fields do not depend upon the fractional parameter. For impedance boundary reflector as original case, the field components depend upon the fractional parameter. Dependence of co-polarized and cross-polarized field components in different ranges of surface impedance has been studied.","PeriodicalId":141554,"journal":{"name":"2008 12th International Conference on Mathematical Methods in Electromagnetic Theory","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124726650","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2008-07-29DOI: 10.1109/MMET.2008.4580968
E. Golovacheva, A. Lerer, V. Lerer, P. Makhno
Space-time integral equations (IE) for the problem of diffraction of electromagnetic pulse (EMP) on slits in screens and on metallic stripes, located in bi-layer dielectrics, were obtained. IEs were solved by analytical transformation of logarithmic singularity of the kernel and application of collocation method. The singularity on the metallic edge was considered.
{"title":"Regularization of space-time integral equations for the problem of diffraction of electromagnetic pulses on slits","authors":"E. Golovacheva, A. Lerer, V. Lerer, P. Makhno","doi":"10.1109/MMET.2008.4580968","DOIUrl":"https://doi.org/10.1109/MMET.2008.4580968","url":null,"abstract":"Space-time integral equations (IE) for the problem of diffraction of electromagnetic pulse (EMP) on slits in screens and on metallic stripes, located in bi-layer dielectrics, were obtained. IEs were solved by analytical transformation of logarithmic singularity of the kernel and application of collocation method. The singularity on the metallic edge was considered.","PeriodicalId":141554,"journal":{"name":"2008 12th International Conference on Mathematical Methods in Electromagnetic Theory","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123272718","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2008-07-29DOI: 10.1109/MMET.2008.4580941
A. Rolland, D. Kakulia, V. Petoev, R. Sauleau, V. Tabatadze, R. Zaridze, A. Nosich
The electromagnetic synthesis and optimization of microwave focusing systems requires the development of specific CAD tools with appropriate characteristics (accuracy, computation time, etc.). The purpose of this paper is to benchmark two 2D numerical methods, namely the method of auxiliary sources (MAS) and the finite-difference time-domain (FDTD) technique. Several relevant test structures (integrated lens antennas, EBG resonator antennas, constrained lenses) have been designed to assess the impact of the intrinsic features of both algorithms (e.g. stair-case approximation in FDTD, kind and location of the auxiliary sources in MAS) upon the numerical results.
{"title":"Application of MAS and FDTD for the design of 2-D EBG resonator antennas and dielectric/guided lenses","authors":"A. Rolland, D. Kakulia, V. Petoev, R. Sauleau, V. Tabatadze, R. Zaridze, A. Nosich","doi":"10.1109/MMET.2008.4580941","DOIUrl":"https://doi.org/10.1109/MMET.2008.4580941","url":null,"abstract":"The electromagnetic synthesis and optimization of microwave focusing systems requires the development of specific CAD tools with appropriate characteristics (accuracy, computation time, etc.). The purpose of this paper is to benchmark two 2D numerical methods, namely the method of auxiliary sources (MAS) and the finite-difference time-domain (FDTD) technique. Several relevant test structures (integrated lens antennas, EBG resonator antennas, constrained lenses) have been designed to assess the impact of the intrinsic features of both algorithms (e.g. stair-case approximation in FDTD, kind and location of the auxiliary sources in MAS) upon the numerical results.","PeriodicalId":141554,"journal":{"name":"2008 12th International Conference on Mathematical Methods in Electromagnetic Theory","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116833047","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2008-07-29DOI: 10.1109/MMET.2008.4580987
A. G. Kyurkchan, V. I. Smirnov, N. I. Smirnova
The reason of limitations on scatterer geometry imposed by T-matrix method is ascertained. The condition of correctness of T-matrix method application is given. It is shown that at numerical solution of integral equations on the basis of null field condition, in particular at using T-matrix method it is necessary to take into account singularities of analytical continuation of wave field. Theoretical results are illustrated by numerical examples.
{"title":"T-matrix method and singularities of analytical continuation of wave field","authors":"A. G. Kyurkchan, V. I. Smirnov, N. I. Smirnova","doi":"10.1109/MMET.2008.4580987","DOIUrl":"https://doi.org/10.1109/MMET.2008.4580987","url":null,"abstract":"The reason of limitations on scatterer geometry imposed by T-matrix method is ascertained. The condition of correctness of T-matrix method application is given. It is shown that at numerical solution of integral equations on the basis of null field condition, in particular at using T-matrix method it is necessary to take into account singularities of analytical continuation of wave field. Theoretical results are illustrated by numerical examples.","PeriodicalId":141554,"journal":{"name":"2008 12th International Conference on Mathematical Methods in Electromagnetic Theory","volume":"84 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116260031","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2008-07-29DOI: 10.1109/MMET.2008.4580906
M. Hammer
A general variant of coupled-mode-theory for frequency domain guided wave problems in integrated optics is discussed. Starting point is a physically reasonable field template, that typically consists of a few known, most relevant modes of the optical channels in the structure, superimposed with coefficient functions of the respective - in principle arbitrary - propagation coordinates. Discretization of these unknown functions into 1-D finite elements leads to an approximation of the optical field in terms of a linear superposition of structure-adapted, more or less localized modal elements. By variational restriction of a functional representation of the full 2-D/3-D vectorial first order frequency domain Maxwell equations (with transparent influx boundary conditions for inhomogeneous exterior), one can then reduce the problem to a small- to moderate-sized system of linear equations. 2-D examples for a crossing of dielectric waveguides and a grating-assisted rectangular resonator illustrate the performance of the approach.
{"title":"Coupled mode modeling in guided-wave photonics: A variational, hybrid analytical-numerical approach","authors":"M. Hammer","doi":"10.1109/MMET.2008.4580906","DOIUrl":"https://doi.org/10.1109/MMET.2008.4580906","url":null,"abstract":"A general variant of coupled-mode-theory for frequency domain guided wave problems in integrated optics is discussed. Starting point is a physically reasonable field template, that typically consists of a few known, most relevant modes of the optical channels in the structure, superimposed with coefficient functions of the respective - in principle arbitrary - propagation coordinates. Discretization of these unknown functions into 1-D finite elements leads to an approximation of the optical field in terms of a linear superposition of structure-adapted, more or less localized modal elements. By variational restriction of a functional representation of the full 2-D/3-D vectorial first order frequency domain Maxwell equations (with transparent influx boundary conditions for inhomogeneous exterior), one can then reduce the problem to a small- to moderate-sized system of linear equations. 2-D examples for a crossing of dielectric waveguides and a grating-assisted rectangular resonator illustrate the performance of the approach.","PeriodicalId":141554,"journal":{"name":"2008 12th International Conference on Mathematical Methods in Electromagnetic Theory","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125792636","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2008-07-29DOI: 10.1109/MMET.2008.4580951
M. Vesnik
Recently developed method of generalized eikonal is intended for obtaining 2-D analytical solutions of various diffraction problems including scattering by a half-infinite perfectly conducting scatterer with a dimensional parameter. The method is used in order to calculate scattering pattern of a half-plate with finite thickness. Analytical solution on a given curve surrounding the half-plate butt end is spread to other points of 2-D space with use of geometrical optics method.
{"title":"Scattering pattern calculation in far zone with use of the method of generalized eikonal","authors":"M. Vesnik","doi":"10.1109/MMET.2008.4580951","DOIUrl":"https://doi.org/10.1109/MMET.2008.4580951","url":null,"abstract":"Recently developed method of generalized eikonal is intended for obtaining 2-D analytical solutions of various diffraction problems including scattering by a half-infinite perfectly conducting scatterer with a dimensional parameter. The method is used in order to calculate scattering pattern of a half-plate with finite thickness. Analytical solution on a given curve surrounding the half-plate butt end is spread to other points of 2-D space with use of geometrical optics method.","PeriodicalId":141554,"journal":{"name":"2008 12th International Conference on Mathematical Methods in Electromagnetic Theory","volume":"94 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132551171","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2008-07-29DOI: 10.1109/MMET.2008.4581015
V. Kazakov, M. Sedeño
The sampling - reconstruction procedure (SRP) of a non Gaussian process at the output of the non linear non inertial converter driven by Gaussian process is considered. The type of the converter is exponential. The principal SRP characteristics (the reconstruction function and the error reconstruction function) are investigated for two different reconstruction algorithms. The first algorithm is based on the conditional mean rule. It provides the optimal the reconstruction function and the minimum of the error reconstruction function. The second algorithm is connected with the formulas for the Gaussian processes. This algorithm is no optimal. There is a comparison between both variants.
{"title":"Interpolation algorithms of the non gaussian process at the output of the non linear non inertial converter","authors":"V. Kazakov, M. Sedeño","doi":"10.1109/MMET.2008.4581015","DOIUrl":"https://doi.org/10.1109/MMET.2008.4581015","url":null,"abstract":"The sampling - reconstruction procedure (SRP) of a non Gaussian process at the output of the non linear non inertial converter driven by Gaussian process is considered. The type of the converter is exponential. The principal SRP characteristics (the reconstruction function and the error reconstruction function) are investigated for two different reconstruction algorithms. The first algorithm is based on the conditional mean rule. It provides the optimal the reconstruction function and the minimum of the error reconstruction function. The second algorithm is connected with the formulas for the Gaussian processes. This algorithm is no optimal. There is a comparison between both variants.","PeriodicalId":141554,"journal":{"name":"2008 12th International Conference on Mathematical Methods in Electromagnetic Theory","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130708996","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2008-07-29DOI: 10.1109/MMET.2008.4580916
R. Zaridze, D. Kakulia, V. Tabatadze, D. Mazmanov, G. Saparishvili, N. Uzunoglou
The primary objectives of this paper are creation of the program package for determination of shape and position of metallic and/or dielectric bodies embedded within a dielectric media, determination of dielectric parameters of the body suppose. The main goal is construction of a high-speed device for measurement and recording amplitude and phase information of the electromagnetic wave over a two-dimensional surface, connected to the computer will realize the detection process using developed software.
{"title":"Development of a new efficient numerical method, creation of package of program and making experimental setup for recognition of latent objects","authors":"R. Zaridze, D. Kakulia, V. Tabatadze, D. Mazmanov, G. Saparishvili, N. Uzunoglou","doi":"10.1109/MMET.2008.4580916","DOIUrl":"https://doi.org/10.1109/MMET.2008.4580916","url":null,"abstract":"The primary objectives of this paper are creation of the program package for determination of shape and position of metallic and/or dielectric bodies embedded within a dielectric media, determination of dielectric parameters of the body suppose. The main goal is construction of a high-speed device for measurement and recording amplitude and phase information of the electromagnetic wave over a two-dimensional surface, connected to the computer will realize the detection process using developed software.","PeriodicalId":141554,"journal":{"name":"2008 12th International Conference on Mathematical Methods in Electromagnetic Theory","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131254449","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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