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Journal of Electromagnetic Waves and Applications Volume 8, 1994 - Issue 3
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Articles

Radiation conditions, limiting absorption principle, and general relations in open waveguide scattering

A.I. Nosich The Department of Electrical Engineering and Computer Science Kumamoto University, Kumamoto 860, Japan
Pages 329-353 | Published online: 03 Apr 2012

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Mstislav E. Kaliberda, Leonid M. Lytvynenko & Sergey A. Pogarsky. (2021) Scattering of eigenmodes of planar dielectric waveguide with PEC wall by graphene strip grating at THz. Waves in Random and Complex Media 0:0, pages 1-18.
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Articles from other publishers (52)

Mario Lucido & Alexander I. Nosich. (2023) Analytical Regularization Approach to Plane Wave Diffraction From Circular Hole in Infinite Resistive Plane. IEEE Transactions on Antennas and Propagation 71:8, pages 6878-6892.
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Emmanuel Garza, Constantine Sideris & Oscar P. Bruno. (2023) A Boundary Integral Method for 3-D Nonuniform Dielectric Waveguide Problems via the Windowed Green Function. IEEE Transactions on Antennas and Propagation 71:4, pages 3758-3763.
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Andreas Kirsch. (2022) A scattering problem for a local perturbation of an open periodic waveguide. Mathematical Methods in the Applied Sciences 45:10, pages 5737-5773.
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Andreas Kalogeropoulos & Nikolaos L. Tsitsas. (2021) Electromagnetic interactions of dipole distributions with a stratified medium: Power fluxes and scattering cross sections. Studies in Applied Mathematics 148:3, pages 1040-1068.
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Mstislav E. Kaliberda, Leonid M. Lytvynenko & Sergey A. Pogarsky. (2021) Singular Integral Equations in Scattering of Planar Dielectric Waveguide Eigenwaves by the System of Graphene Strips at THz. Plasmonics 17:2, pages 505-517.
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Alexander Ye. Svezhentsev, Sergii V. Dukhopelnykov, Vladimir Volski, Guy A. E. Vandenbosch & Alexander I. Nosich. (2022) Microsized Graphene Helmholtz Resonator on Circular Dielectric Rod: A Tunable Sub-THz Frequency-Selective Scatterer. IEEE Transactions on Antennas and Propagation 70:3, pages 2105-2113.
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Mstislav E. Kaliberda, Leonid M. Lytvynenko, Sergey A. Pogarsky & Ronan Sauleau. (2021) Excitation of guided waves of grounded dielectric slab by a THz plane wave scattered from finite number of embedded graphene strips: Singular integral equation analysis. IET Microwaves, Antennas & Propagation 15:10, pages 1171-1180.
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Takashi Furuya. (2020) The factorization and monotonicity method for the defect in an open periodic waveguide. Journal of Inverse and Ill-posed Problems 28:6, pages 783-796.
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Alexander Ye. Svezhentsev, Vladimir Volski & Guy A. E. Vandenbosch. (2020) Plane Wave Scattering by Cylindrically Conformal Periodic Finite Array with PEC and Graphene Patches. Plane Wave Scattering by Cylindrically Conformal Periodic Finite Array with PEC and Graphene Patches.
Nataliya Y. Saidoglu & Alexander I. Nosich. (2020) Method of analytical regularization in the analysis of axially symmetric excitation of imperfect circular disk antennas. Computers & Mathematics with Applications 79:10, pages 2872-2884.
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Mstislav E. Kaliberda, Leonid M. Lytvynenko & Sergey A. Pogarsky. (2020) THz Waves Scattering by Finite Graphene Strip Grating Embedded Into Dielectric Slab. IEEE Journal of Quantum Electronics 56:1, pages 1-7.
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Nikolaos L. Tsitsas, Costas Valagiannopoulos & Alexander I. Nosich. (2019) Excitation of Guided Waves on a Lossless Dielectric Slab by an E-Polarized Complex Source Point Beam. IEEE Transactions on Antennas and Propagation 67:8, pages 5532-5543.
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Carlos Pérez-Arancibia, Raphaël Pestourie & Steven G. Johnson. (2018) Sideways adiabaticity: beyond ray optics for slowly varying metasurfaces. Optics Express 26:23, pages 30202.
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Alexey V. Maslov. (2018) Accurate Computation of Guided-Wave Coupling to Dielectric Resonators in 2-D Geometry. IEEE Transactions on Antennas and Propagation 66:6, pages 2904-2910.
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Nikolaos L. Tsitsas. (2018) Fourier-Transform-Domain Solution of the Directive Beam Scattering by a Dielectric Slab with Account of the Guided Waves. Fourier-Transform-Domain Solution of the Directive Beam Scattering by a Dielectric Slab with Account of the Guided Waves.
Andreas Kirsch & Armin Lechleiter. (2018) The Limiting Absorption Principle and a Radiation Condition for the Scattering by a Periodic Layer. SIAM Journal on Mathematical Analysis 50:3, pages 2536-2565.
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Oscar P. Bruno, Emmanuel Garza & Carlos Perez-Arancibia. (2017) Windowed Green Function Method for Nonuniform Open-Waveguide Problems. IEEE Transactions on Antennas and Propagation 65:9, pages 4684-4692.
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O. P. Bruno & C. Pérez-Arancibia. (2017) Windowed Green function method for the Helmholtz equation in the presence of multiply layered media. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473:2202, pages 20170161.
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Borje Nilsson, Andreas Ioannidis, Yevhen Ivanenko & Sven Nordebo. (2016) On absence of sources at infinity and uniqueness for waveguide solutions. On absence of sources at infinity and uniqueness for waveguide solutions.
Nikolaos L. Tsitsas. (2016) Complex source point beam excitation of a lossless dielectric slab. Complex source point beam excitation of a lossless dielectric slab.
Alexander I. Nosich & Ronan Sauleau. (2016) Simulation of graphene-disk antenna with axially symmetric excitation using MAR and orthogonal polynomials. Simulation of graphene-disk antenna with axially symmetric excitation using MAR and orthogonal polynomials.
Nikolaos L Tsitsas, Constantinos A Valagiannopoulos & Alexander I Nosich. (2014) Scattering and absorption of a complex source point beam by a grounded lossy dielectric slab with a superstrate. Journal of Optics 16:10, pages 105712.
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Evgenii Karchevskii & Alexander Nosich. (2014) Methods of analytical regularization in the spectral theory of open waveguides. Methods of analytical regularization in the spectral theory of open waveguides.
Volodymyr O. Byelobrov & Trevor M. Benson. (2014) Natural modes of an active slab microcavity with air-filled periodic inclusions. Natural modes of an active slab microcavity with air-filled periodic inclusions.
V.O. Byelobrov. (2014) Extraordinary high-Q resonances in the scattering by a dielectric slab containing a grating of circular cylinders. Semiconductor Physics Quantum Electronics and Optoelectronics 17:1, pages 100-105.
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V. O. Byelobrov, T. M. Benson & A. I. Nosich. (2012) Binary Grating of Subwavelength Silver and Quantum Wires as a Photonic-Plasmonic Lasing Platform With Nanoscale Elements. IEEE Journal of Selected Topics in Quantum Electronics 18:6, pages 1839-1846.
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Mats Gustafsson, Iman Vakili, Sena Esen Bayer Keskin, Daniel Sjoberg & Christer Larsson. (2012) Optical Theorem and Forward Scattering Sum Rule for Periodic Structures. IEEE Transactions on Antennas and Propagation 60:8, pages 3818-3826.
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Denys M. Natarov, Volodymyr O. Byelobrov, Ronan Sauleau, Trevor M. Benson & Alexander I. Nosich. (2011) Periodicity-induced effects in the scattering and absorption of light by infinite and finite gratings of circular silver nanowires. Optics Express 19:22, pages 22176.
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Volodymyr O. Byelobrov, Jiri Ctyroky, Trevor M. Benson, Ronan Sauleau, Ayhan Altintas & Alexander I. Nosich. (2010) Low-threshold lasing eigenmodes of an infinite periodic chain of quantum wires. Optics Letters 35:21, pages 3634.
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Carlos Pérez-Arancibia & Mario Durán. (2010) On the Green’s function for the Helmholtz operator in an impedance circular cylindrical waveguide. Journal of Computational and Applied Mathematics 235:1, pages 244-262.
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Ioannis Chremmos. (2009) Magnetic field integral equation analysis of interaction between a surface plasmon polariton and a circular dielectric cavity embedded in the metal. Journal of the Optical Society of America A 26:12, pages 2623.
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Giulio Ciraolo & Rolando Magnanini. (2008) A radiation condition for uniqueness in a wave propagation problem for 2‐D open waveguides. Mathematical Methods in the Applied Sciences 32:10, pages 1183-1206.
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Alexander Y. Svezhentsev. (2005) Radiation characteristics of cylindrical microstrip phased array antenna mounted on electrically large cylinder. Microwave and Optical Technology Letters 44:2, pages 152-157.
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E. M. Kartchevski, A. I. Nosich & G. W. Hanson. (2005) Mathematical Analysis of the Generalized Natural Modes of an Inhomogeneous Optical Fiber. SIAM Journal on Applied Mathematics 65:6, pages 2033-2048.
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S.A. Steshenk & A.A. Kirilenko. (2004) Radiation characteristics of a leaky-wave antenna with a reflection grating of finite extent. Radiation characteristics of a leaky-wave antenna with a reflection grating of finite extent.
F.J. Villegas, Y. Rahmat-Samii & D.R. Jackson. (2003) A hybrid MoM solution of scattering from finite arrays of cylindrical cavities in a ground plane. IEEE Transactions on Antennas and Propagation 51:9, pages 2369-2380.
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A.I. Nosich. (2003) Extraction of spectra and thresholds from full-wave lasing eigenvalue problems. Extraction of spectra and thresholds from full-wave lasing eigenvalue problems.
A.I. Nosich. (2003) Mathematical modeling of lasing in semiconductor microcavities by means of adequate eigenvalue problems. Mathematical modeling of lasing in semiconductor microcavities by means of adequate eigenvalue problems.
S.V. Boriskina, T.M. Benson, P. Sewell & A.I. Nosich. (2002) Effect of a layered environment on the complex natural frequencies of two-dimensional WGM dielectric-ring resonators. Journal of Lightwave Technology 20:8, pages 1563-1572.
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A.I. Nosich. (2002) Infinite-sheet branching of the habitat of the natural frequencies of open resonators as a result of admission of infinite boundaries. Infinite-sheet branching of the habitat of the natural frequencies of open resonators as a result of admission of infinite boundaries.
Elena A. Romanova, Leonid A. Melnikov & Ella V. Bekker. (2000) Scattering of the total field from the slow-tapered and step-like discontinuities of dielectric waveguides. Microwave and Optical Technology Letters 25:1, pages 27-33.
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E. M. Karchevskii & S. I. Solov’ev. (2000) Investigation of a spectral problem for the Helmholtz operator on the plane. Differential Equations 36:4, pages 631-634.
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S.V. Boriskina, A.I. Nosich & A. Altintas. (2000) Effect of the imperfect flat Earth on the vertically polarized radiation of a cylindrical reflector antenna. IEEE Transactions on Antennas and Propagation 48:2, pages 285-292.
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A.I. Nosich. (1999) On the generalized natural waves of optical fibers. On the generalized natural waves of optical fibers.
S.V. Boriskina & A.I. Nosich. (1999) Radiation and absorption losses of the whispering-gallery-mode dielectric resonators excited by a dielectric waveguide. IEEE Transactions on Microwave Theory and Techniques 47:2, pages 224-231.
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A.I. Nosich. (1998) The cost of pleasure: about some catastrophes in time-harmonic wave scattering. The cost of pleasure: about some catastrophes in time-harmonic wave scattering.
C Rozier, D Lesselier, T S Angell & R E Kleinman. (1997) Shape retrieval of an obstacle immersed in shallow water from single-frequency farfields using a complete family method. Inverse Problems 13:2, pages 487-508.
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C. Rozier, D. Lesselier, T. S. Angell & R. E. Kleinman. 1997. Inverse Problems of Wave Propagation and Diffraction. Inverse Problems of Wave Propagation and Diffraction 130 142 .
Victor I. Kalinichev. (1996) Radiation behavior of planar double-layer dielectric waveguides combined with a finite metal-strip grating. Microwave and Optical Technology Letters 11:2, pages 69-73.
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A. Yarovoy. (1994) Electromagnetic wave scattering from a penetrable cylinder embedded into a stratified medium. Electromagnetic wave scattering from a penetrable cylinder embedded into a stratified medium.
A.I. Nosich & A.S. Andrenko. (1994) Scattering and mode conversion by a screen-like inhomogeneity inside a dielectric slab waveguide. IEEE Transactions on Microwave Theory and Techniques 42:2, pages 298-307.
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A.S. Andrenko. (1993) Directive antenna radiators and grating couplers based on grounded dielectric slab guide with finite periodic scatterers. Directive antenna radiators and grating couplers based on grounded dielectric slab guide with finite periodic scatterers.

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