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  • 51. Shestopalov, Youri
    et al.
    Lozhechko, V.
    A Variational Method for Diffraction Problems on Domains with Noncompact Boundaries1998In: Comp. Maths. Math. Phys., 1998, Vol. 38, no 2, pp. 267-278Article in journal (Refereed)
  • 52. Shestopalov, Youri
    et al.
    Lozhechko, V.
    Analysis of the Scattering from a Dielectric Cylinder using an Efficient Version of the Galerkin Procedure2002In: Telecomm. Radio Eng., 2002, Vol. 58, nos 1-2, pp. 43-51Article in journal (Refereed)
  • 53. Shestopalov, Youri
    et al.
    Lozhechko, V.
    Direct and Inverse Problems of the Wave Diffraction by Screens with Arbitrary Finite Inhomogeneties2003In: J Inverse Ill-Posed Problems, 2003, Vol 11, no 6, pp. 643-653Article in journal (Refereed)
  • 54. Shestopalov, Youri
    et al.
    Lozhechko, V.
    Problems of the Excitation of Open Cylindrical Resonators with an Irregular Boundary1995In: Comp. Maths. Math. Phys., 1995, Vol. 35, no 1, pp. 53-61Article in journal (Refereed)
  • 55. Shestopalov, Youri
    et al.
    Lozhechko, V.
    Properties of the Spectrum of Fundamental Frequencies of a Class of Open Cylindrical Resonators1994In: Vestnik Mosk. Gos. Univ., Ser. 3, 1994, Vol. 35, no 4, pp. 23-34Article in journal (Refereed)
  • 56. Shestopalov, Youri
    et al.
    Lozhechko, V.
    Uniqueness Theorems in the Problems of Inverse Scattering by Inhomogeneous Halfspace1997Conference paper (Refereed)
  • 57. Shestopalov, Youri
    et al.
    Okuno, Y.
    Kotik, N.
    Oscillation in Slotted Resonators with Several Slots: Application of Approximate Semi-Inversion.92003In: Progress in Electromagnetics Research vol PIER-3Article in journal (Refereed)
  • 58. Shestopalov, Youri
    et al.
    Podlipenko, Y.
    On the Electromagnetic Scattering Problem for an Infinite Dielectric Cylinder of an Arbitrary Cross Section Located in the Wedge1999In: J. Math. Phys., 1999, Vol. 40, no 10, pp. 4888-4902Article in journal (Refereed)
  • 59.
    Shestopalov, Youri
    et al.
    Karlstad University, Faculty of Technology and Science, Department of Mathematics.
    Podlipenko, Y
    Prishlyak, V
    Estimation under uncertainties of acoustic and electromagnetic fields from noisy observations2009Report (Refereed)
    Abstract [en]

    The creation and justification of the methods for minimax estimation of parameters of the external boundary value problems for the Helmholtz equation in unbounded domains are considered. When observations are distributed in subdomains, the determination of minimax estimates is reduced to the solution of integro-differential equations in bounded domains. When observations are distributed on a system of surfaces the problem is reduced to solving integral equations on an unclosed bounded surface which is a union of the boundary of the domain and this system of surfaces. Minimax estimation of the solutions to the boundary value problems from point observations is also studied.

  • 60.
    Shestopalov, Youri
    et al.
    Karlstad University, Faculty of Technology and Science, Department of Mathematics.
    Podlipenko, Yury
    Prishlyak, Vladimir
    Estimation of Solutions of Helmholtz Problems with Uncertain Data2010In: Electromagnetic Theory (EMTS): 2010 URSI International Symposium on, IEEE , 2010, p. 517-519Conference paper (Refereed)
    Abstract [en]

    The creation and justification of the methods for minimax estimation of parameters of the external boundary value problems for the Helmholtz equation in unbounded domains are considered. When observations are distributed in subdomains, the determination of minimax estimates is reduced to the solution of integro-differential equations in bounded domains. When observations are distributed on a system of surfaces the problem is reduced to solving integral equations on an unclosed bounded surface which is a union of the boundary of the domain and this system of surfaces. Minimax estimation of the solutions to the boundary value problems from point observations is also studied

  • 61. Shestopalov, Youri
    et al.
    Serov, V.
    Schuermann, H.W.
    Existence of Eigenwaves and Solitary Waves in the Lossy Linear and Lossless Nonlinear Layered Waveguides1996In: Dokl. Ros. Akad. Nauk, Maths., 1996, Vol. 53, no 1, pp. 98-100Article in journal (Refereed)
  • 62. Shestopalov, Youri
    et al.
    Serov, V.
    Schuermann, H.W.
    Propagation of TE Waves through a Layer Having Permittivity Depending on the Transverse Coordinate and Lying between Two Half-Infinite Nonlinear Media1999In: Dokl. Ros. Akad. Nauk, Maths., 1999, Vol. 60, no 2, pp. 286-288Article in journal (Refereed)
  • 63. Shestopalov, Youri
    et al.
    Serov, V.
    Schuermann, H.W.
    Propagation of TE-waves in cylindrical nonlinear dielectric waveguides2005In: Physical Review E, 2005, Vol. 71, pp. 0166141-10Article in journal (Refereed)
  • 64. Shestopalov, Youri
    et al.
    Serov, V.
    Schuermann, H.W.
    Reflection and Transmission of a Plane TE-Wave at a Lossless Nonlinear Dielectric Film2001In: Physica D, 2001, Vol. 158, pp. 197-215Article in journal (Refereed)
  • 65. Shestopalov, Youri
    et al.
    Serov, V.
    Schuermann, H.W.
    TE-polarized Waves Guided by a Lossless Nonlinear Three-layer Structure1998In: Physical Review E, 1998, Vol. 58, no 1, pp. 1040-1050Article in journal (Refereed)
  • 66. Shestopalov, Youri
    et al.
    Serov, V.
    Schuermann, H.W.
    Waves in a Nonlinear Three-layer Structure1998Conference paper (Refereed)
  • 67. Shestopalov, Youri
    et al.
    Serov, V.
    Schuermann, H.W.
    Waves in Three-Layer Structures with Kerr-type Nonlinearity and Variable Permittivity2002Conference paper (Refereed)
  • 68. Shestopalov, Youri
    et al.
    Shestopalov, V.
    Spectral Theory and Excitation of Open Structures1996Book (Refereed)
    Abstract [en]

    Open resonators, open waveguides and open diffraction gratings are used extensively in modern millimetre and submillemetre technology, spectroscopy and radio engineering. In this book, the physical processes in these open electromagnetic structures are analysed using a specially constructed spectral theory. The solution of electromagnetic problems in open structures requires a different approach from that used for closed structures because of radiation loss, edges, multiconnected cross-sections and the need to take into account the behaviour of electromagnetic fields at infinity.

  • 69.
    Shestopalov, Youri
    et al.
    Karlstad University, Faculty of Technology and Science, Department of Mathematics.
    Smirnov, Y
    Analysis of Inverse Scattering in a Waveguide Using the Method of Volume Singular Integral Equation2010Conference paper (Refereed)
  • 70.
    Shestopalov, Youri
    et al.
    Karlstad University, Faculty of Technology and Science, Department of Mathematics.
    Smirnov, Y.
    Integral Equation Method for the Solution of the Dirichlet Problem in a Perturbed Three-Dimensional Layer2009In: International Journal of Pure and Applied Mathematics, ISSN 1311-8080, Vol. 50, no 1, p. 13-30Article in journal (Refereed)
    Abstract [en]

    A Dirichlet boundary value problem for the Laplace equation in a three-dimensional layer with a local perturbation of the boundary is solved by the method of boundary integral equation (IE). The unique solvability of the IE and its Fredholm property are proved. A Galerkin method of the IE numerical solution aimed at the use of parallel computations is developed and justified.

  • 71. Shestopalov, Youri
    et al.
    Smirnov, Y.
    Method of Integral Equations for Solving 3D Electromagnetic Diffraction Problems in a Perturbed Layer Using Parallel Computations2008In: Proc. Progress in Electromagnetics Research Symposium (PIERS 2008), China, Hangzhou, March 24-28, 2008, pp. 907-911Article in journal (Refereed)
  • 72. Shestopalov, Youri
    et al.
    Smirnov, Y.
    Subhierarchical approach and parallel algorithms for solving 3D electromagnetic diffraction problems on dielectric bodies and screens2007Conference paper (Refereed)
  • 73. Shestopalov, Youri
    et al.
    Smirnov, Y.
    The Diffraction on a Class of Unbounded Domains Connected through a Hole2003In: Math Methods in the Applied Sciences vol 26Article in journal (Refereed)
  • 74. Shestopalov, Youri
    et al.
    Smirnov, Y.
    Chernokozhin, E.
    Logarithmic Integral Equations in Electromagnetics2000Book (Refereed)
  • 75. Shestopalov, Youri
    et al.
    Smirnov, Y.
    Yakovlev,, V.
    Volume Singular Integral Equation Method for Determination of Effective Permittivity of Meta-and Nano-Materials2008Conference paper (Refereed)
  • 76.
    Shestopalov, Youri
    et al.
    Karlstad University, Faculty of Technology and Science, Department of Mathematics.
    Smirnov, Yuri
    Russia.
    Existence and uniqueness of solution to the inverse problem of complex permittivity reconstruction of a dielectric body in a waveguide2010In: Inverse Problems, ISSN 0266-5611, E-ISSN 1361-6420, Vol. 26, no 10Article in journal (Refereed)
    Abstract [en]

    This paper presents a statement, a proof of uniqueness, and a method of solution to the inverse problem of the determination of permittivity of a lossy dielectric inclusion in a three-dimensional waveguide of rectangular cross-section fromthe transmission characteristics. The approach is based on the solution to a volume singular integral equation (VSIE). The examination of this equationis based on the analysis of the corresponding boundary value problem (BVP) for the system of Maxwell equations and the equivalence of this BVP andVSIE. The existence and uniqueness for VSIE in the space of square-integrable functions are proved. The permittivity reconstruction employs a method ofiterations applied to the solution of VSIE

  • 77. Shestopalov, Youri
    et al.
    Yakovlev, V.
    Determination of Permittivity of a Lossy Dielectric Inclusion in a Rectangular Waveguide2007Conference paper (Refereed)
  • 78. Shestopalov, Youri
    et al.
    Yakovlev, V.
    Uniqueness of complex permittivity reconstruction for an arbitrarily-shaped body in a parallel-plane waveguide2007Conference paper (Refereed)
  • 79. Shestopalov, Youri
    et al.
    Yakovlev, V.
    Uniqueness of Complex Permittivity Reconstruction in a Parallel-Plane Waveguide2007In: Radio Sci., 2007, Vol. 42, no 6, RS6S20, doi:10.1029/2007RS003665Article in journal (Refereed)
    Abstract [en]

    The paper presents a statement and a proof of uniqueness of solution to the inverse problem of determination of permittivity of a lossy dielectric inclusion in a parallel-plane waveguide from the reflection and transmission characteristics. The approach is based on the analysis of asymptotic representations of a solution to the direct problem of diffraction of a transverse electric wave and employs a generalization of the notion of partial far-field patterns applied for a guide.



  • 80. Shestopalov, Youri
    et al.
    Yatsyk, V.
    Resonance Scattering of Electromagnetic Waves by a Dielectric Layer with a Kerr-Type Nonlinearity2007In: J. Comm. Tech. Elec., 2007, Vol. 52, no. 11, pp. 1185-1200Article in journal (Refereed)
  • 81.
    Shestopalov, Youri
    et al.
    Karlstad University, Faculty of Technology and Science, Department of Mathematics.
    Yatsyk, V
    Solvability of the boundary value problem associated with the wave diffraction by a layer filled with a Kerr-type nonlinear medium2009Report (Other academic)
    Abstract [en]

    The diffraction of a plane wave by a transversely inhomogeneousisotropic nonmagnetic linearly polarized dielectric layer filledwith a Kerr-type nonlinear medium is considered. The analyticaland numerical solution techniques are developed. The diffractionproblem is reduced to a singular boundary value problem for asemilinear second-order ordinary differential equation with acubic nonlinearity and then to a cubic-nonlinear integral equationof the second kind and to a system of nonlinear operatorequations of the second kind solved using iterations. Sufficientconditions of the unique solvability are obtained using the contraction principle

  • 82. Shestopalov, Youri
    et al.
    Yatsyk, V.
    Sufficient Conditions of the Existence of Solution to the Problem of Diffraction on a Kerr-type Nonlinear Dielectric Layered Structure2007Conference paper (Refereed)
  • 83.
    Shestopalov, Yuri
    et al.
    Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science.
    Smirnov, Yury
    Penza State Univ, Dept Math & Supercomp, Penza 440017, Russia..
    Eigenwaves in waveguides with dielectric inclusions: completeness2014In: Applicable Analysis, ISSN 0003-6811, E-ISSN 1563-504X, Vol. 93, no 9, p. 1824-1845Article in journal (Refereed)
    Abstract [en]

    We formulate the definition of eigenwaves and associated waves in a nonhomogeneously filled waveguide using the system of eigenvectors and associated vectors of a pencil and prove its double completeness with a finite defect or without a defect. Then, we prove the completeness of the system of transversal components of eigenwaves and associated waves as well as the mnimality' of this system and show that this system is generally not a Schauder basis. This work is a continuation of the paper Eigenwaves in waveguides with dielectric inclusions: spectrum. Appl. Anal. 2013. doi:10.1080/00036811.2013.778980 by Y. Smirnov and Y. Shestopalov. Therefore, we omit the problem statements and all necessary basic definitions given in the previous paper.

  • 84.
    Shestopalov, Yuri
    et al.
    Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science.
    Smirnov, Yury
    Penza State Univ, Dept Math & Supercomp, Penza 440017, Russia..
    Eigenwaves in waveguides with dielectric inclusions: spectrum2014In: Applicable Analysis, ISSN 0003-6811, E-ISSN 1563-504X, Vol. 93, no 2, p. 408-427Article in journal (Refereed)
    Abstract [en]

    We consider fundamental issues of the mathematical theory of the wave propagation in waveguides with inclusions. Analysis is performed in terms of a boundary eigenvalue problem for the Maxwell equations which is reduced to an eigenvalue problem for an operator pencil. We formulate the definition of eigenwaves and associated waves using the system of eigenvectors and associated vectors of the pencil and prove that the spectrum of normal waves forms a non-empty set of isolated points localized in a strip with at most finitely many real points.

  • 85.
    Shestopalov, Yury
    Karlstad University.
    Collective decisions: some problem statements and mathematical methods2011In: Proceedings of XVIII International Conference Problems of Decision Making under Uncertainties (PDMU-2011), September 19-23, 2011. Yalta, Ukraine, Kyiv, 2011, p. 33-34Conference paper (Refereed)
  • 86.
    Shestopalov, Yury
    et al.
    Karlstad University.
    Angermann, Lutz
    Clausthal University, Clausthal, Germany.
    Yatsyk, Vasil
    Usikov Institute of Radiophysics and Electronics, Kharkiv, Ukraine.
    Modeling and Analysis of  Wave Packet Scattering and Generation for a Nonlinear Layered Structure2012In: Proceedings of 14th Seminar on Computer Modeling, Bayreuth,Germany, 5-6 March 2012 / [ed] Vadim Yakovlev, Bayreuth: University of Bayreuth , 2012, p. 21-26Conference paper (Refereed)
    Abstract [en]

    Nonlienar dielectrics with controllable permittivity are the subject of intense studies and have begun to find broad applications in device technology and electronics. We develop a model of resonance scattering and generation of waves on an anisotropic, nonmagnetic, nonlinear layered dielectric structure excited by a packet of plane waves in the resonance frequency range in a self-consistent formulation. Various effects caused by the nonlinearity  of the structure are investigated using analytical and numerical techniques.

  • 87.
    Shestopalov, Yury
    et al.
    Karlstad University.
    Smirnov, Yury
    Penza State University, Penza, Russia.
    Determination of permittivity of an inhomogeneous dielectric body in a waveguide2011In: Inverse Problems, ISSN 0266-5611, E-ISSN 1361-6420, Vol. 27, p. 095010-1-095010-12Article in journal (Refereed)
    Abstract [en]

    The determination of permittivity of an inhomogeneous dielectric body located in a rectangular waveguide is considered. An iteration method for the numerical solution of the problem is proposed. Convergence of the method is proved. Numerical results for the determination of permittivity of a dielectric body are presented

  • 88.
    Shestopalov, Yury
    et al.
    Karlstad University.
    Smirnov, Yury
    Penza State University, Penza, Russia.
    Inverse scattering in guides2012In: Journal of Physics, Conference Series, ISSN 1742-6588, E-ISSN 1742-6596, Vol. 346, p. 012019-1-012019-13Article in journal (Refereed)
    Abstract [en]

    We present statements and a method of solution to the inverse scattering problem of reconstructing permittivity of a dielectric inclusion in a 2D or 3D waveguide from thetransmission characteristics. The approach employs a volume singular integral equation (VSIE) method. The unique solvability of VSIE is established. The inverse problem is solved by themethod of iterations applied to VSIE; the convergence of the method is proved

  • 89.
    Shestopalov, Yury
    et al.
    Karlstad University, Faculty of Technology and Science, Department of Mathematics.
    Smirnov, Yury
    Penza State University, Penza, Russia.
    Numerical-analytical methods for the analysis of forward and inverse scattering by dielectric bodies in waveguides2012In: Proceedings of 19th International Conference on Microwaves, Radar and Wireless Communications (MIKON-2012), Warsaw, Poland, 21-23 May 2012, Piscataway, NJ: IEEE conference proceedings, 2012, p. 127-132Conference paper (Refereed)
    Abstract [en]

    We present statement and a review of the proofs of uniqueness and solution techniques for forward and inverse problems of the electromagnetic wave scattering from a dielectric inclusion in a 3D waveguide. The inverse problem consists in reconstructing the permittivity from the transmission characteristics. The approach employs a volume singular integral equation (VSIE). The unique solvability of VSIE is established. The inverse problemis solved by the method of iterations applied to VSIE; the convergenceof the method is proved. Particularly, the determination of permittivity of an inhomogeneous dielectric body in a rectangular waveguide is considered; a method of iterations for the numerical solution is proposed; and convergence of the method is proved. Numerical results for the determination of permittivity of parallelepiped-shaped dielectric bodies are presented

  • 90.
    Shestopalov, Yury
    et al.
    Karlstad Univ, Karlstad, Sweden..
    Yatsyk, Vasyl
    Natl Acad Sci Ukraine, Usikov Inst Radiophys & Elect, Kharkov, Ukraine..
    Diffraction of electromagnetic waves by a layer filled with a kerr-type nonlinear medium2010In: Journal of Nonlinear Mathematical Physics, ISSN 1402-9251, E-ISSN 1776-0852, Vol. 17, no 3, p. 311-335Article in journal (Refereed)
    Abstract [en]

    The diffraction of a plane wave by a transversely inhomogeneous isotropic nonmagnetic linearly polarized dielectric layer filled with a Kerr-type nonlinear medium is considered. The analytical and numerical solution techniques are developed. The diffraction problem is reduced to a singular boundary value problem for a semilinear second-order ordinary differential equation with a cubic nonlinearity and then to a cubic-nonlinear integral equation (IE) of the second kind and to a system of nonlinear operator equations of the second kind solved using iterations. Sufficient conditions of the unique solvability are obtained using the contraction principle.

  • 91.
    Smirnov, A. P.
    et al.
    Moscow MV Lomonosov State Univ, Moscow, Russia..
    Semenov, A. N.
    Moscow MV Lomonosov State Univ, Moscow, Russia..
    Shestopalov, Yuri
    Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science.
    FDTD Simulation of Waveguide with Non-uniform Dielectric Slab2013In: PIERS 2013 STOCKHOLM: PROGRESS IN ELECTROMAGNETICS RESEARCH SYMPOSIUM, 2013, p. 76-83Conference paper (Refereed)
    Abstract [en]

    Scattering in the time domain of electromagnetic waves in the elongated waveguide with non-uniform dielectric slab is considered. Electromagnetic field components are computed and investigation of energy transport in the guide is performed by using Finite Difference Time Domain (FDTD) method for various frequency ranges. Computation for the non-stationary Maxwell equation system is performed by efficient 3D FDTD solver EMWSolver3D created by this paper authors. Simulation is performed for the H10-mode scattering from dielectric slab inclusions. Numerical computations for large-scale problems solution have been implemented on supercomputers of the last generation. The simulation of an empty waveguide without dielectric inclusions has shown that numerical dispersion arising during waves travelling in waveguide causes solution errors. Numerical phase velocity is shown to differ from the analytical phase velocity with the lapse of time that obstructs accurate finding of attenuation and propagation factors. In this respect method similar to Total Field/Scattered field has been proposed to specify waveguide mode with respect to numerical dispersion. The analytical solution of finite-difference equation for the H10-mode has been found for this purpose. Usage of the methods described above has allowed the authors to compute the values of waveguide attenuation and propagation factors for different configurations of dielectric slab.

  • 92.
    Smirnov, Alexander
    et al.
    Chalmers University, Gothenburg University.
    Semenov, Alexey
    Shestopalov, Yuri
    Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science.
    Modeling of Electromagnetic Wave Propagation in Guides with Inhomogeneous Dielectric Inclusions2013In: Inverse Problems and Large-Scale Computations / [ed] Larisa Beilina, Yury V. Shestopalov, Springer, 2013, Vol. 52, p. 113-118Conference paper (Refereed)
    Abstract [en]

    We consider scattering in the time domain of electromagnetic waves from inhomogeneous dielectric inclusions in a 3D waveguide of rectangular cross section. All electromagnetic field components are calculated, and transport of energy in the guide is investigated using finite difference time domain (FDTD) method in different frequency ranges. An efficient 3D FDTD EMWSolver3D solver for the nonstationary Maxwell equation system is used. The model computations are performed for the H10-mode scattering from parallelepiped-shaped dielectric inclusions. Attenuation and propagation factors are calculated for the transmitted modes and field distributions are visualized. The present method can be used for a wide class of waveguide problems that meet substantial difficulties as far as numerical solution by conventional FDTD methods is concerned due to complex geometries or computational requirements. The solver employs algorithms of parallel computations and is implemented on supercomputers of last generation for solving large-scale problems with characteristic matrix dimensions achieving 1012.

  • 93. Smirnov, Y.
    et al.
    Schürmann, H.W.
    Shestopalov, Youri
    Integral Equation Approach for the Propagation of TE-Waves in a Nonlinear Dielectric Cylindrical Waveguide2004In: J. Nonlin. Math. PhysArticle in journal (Refereed)
    Abstract [en]

    The propagation of TE-polarized electromagnetic

    waves along a Kerr-type nonlinear dielectric, nonabsorbing, nonmagnetic, and isotropic (circular) cylindrical waveguide is investigated. For axially (azimuthal) symmetric solutions the problem is reduced to a cubic-nonlinear integral equation that is solved by iteration leading to a sequence uniformly convergent to

    the solution of the integral equation.

    The dispersion relations associated to the exact and iterate solutions, respectively, are derived and solved. The roots of the exact dispersion relation are approximated by the roots of the dispersion relations

    generated by the iterate solutions.

    The existence of both exact and approsimate solutions is proved using contraction.

    and convergence

  • 94.
    Smirnov, Yu. G.
    et al.
    Penza State Univ, Penza, Russia..
    Shestopalov, Yuri
    Derevyanchuk, E. D.
    Penza State Univ, Penza, Russia..
    Reconstruction of Permittivity and Permeability Tensors of Anisotropic Materials in a Rectangular Waveguide from the Reflection and Transmission Coefficients at Different Frequencies2013In: PIERS 2013 STOCKHOLM: Progress In Electromagnetics Research Symposium, 2013, p. 290-295Conference paper (Refereed)
    Abstract [en]

    This paper is devoted to the study of inverse problem of the permittivity and permeability tensor reconstruction of anisotropic materials in the form of diaphragms (sections) in a single-mode waveguide of rectangular cross section from the transmission and reflection coefficients measured. Results of numerical modeling are presented for different types of anisotropic materials. The developed solution techniques for the inverse problem under study can be applied in optics, nanotechnology, and design of microwave devices.

  • 95.
    Smirnov, Yury
    et al.
    Penza State University, Penza, Ryssland.
    Shestopalov, Youri
    Karlstad University, Faculty of Social and Life Sciences.
    Yakovlev, Vadim
    Worcester Polytechnic, Worcester, MA, USA.
    A Volume Singular Integral Equation Technique for Reconstruction of Complex Permittivity of a Body in a Rectangular Waveguide2010In: Proc. of the 26th International Review of Progress in Applied Computational Electromagnetics (ACES 2010), Tampere, Finland, April 25-29, 2010, ACES , 2010, p. 426-430Conference paper (Refereed)
    Abstract [en]

    The theoretical study outlined in this paper is motivated by the growing interest in microwave imaging in closed microwave systems. We present an original approach to the inverse problem of reconstruction of media parameters (complex permittivity) of a body in a waveguide.The consideration is based on the use of a volume singular integral equation and its reduction toan equation which can be solved, using iterations, both numerically and analytically. This resultsin determination, for a given single-mode rectangular waveguide, of complex permittivity from the transmission coe±cient. The approach also yields the proof of uniqueness of reconstruction of complex permittivity in a rectangular waveguide from the transmission characteristics

  • 96.
    Tomasek, P.
    et al.
    Tomas Bata Univ Zlin, Zlin, Czech Republic..
    Shestopalov, Y.V.
    Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science.
    Parameter Optimization of Waveguide Filters Employing Analysis of Closed-form Solution2013In: PIERS 2013  Stockholm: Progress In Electromagnetics Research Symposium, Cambridge, MA: Electromagnetics Academy , 2013, p. 296-299Conference paper (Refereed)
    Abstract [en]

    This work aims at computation and optimization of transmission coefficients of waveguide filters formed by one- or multi-sectional diaphragms in a waveguide of rectangular cross-section. An approach for designing band-stop and band-pass filters is proposed employing analysis of closed-form solutions and numerical multi-parameter optimization.

12 51 - 96 of 96
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