ELECTROMAGNETIC WAVES PIER 48. Progress In Electromagnetics Research
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1 ELECTROMAGNETIC WAVES PIER 48 Progress In Electromagnetics Research
2 c 2004 EMW Publishing. All rights reserved. No part of this publication may be reproduced. Request for permission should be addressed to the Publisher. All inquiries regarding copyrighted material from this publication, manuscript submission instructions, and subscription orders and price information should be directed to: EMW Publishing, P. O. Box , Kendall Square, Cambridge, Massachusetts 02142, USA. FAX: This publication is printed on acid-free paper. ISSN ISBN Manufactured in the United States of America.
3 ELECTROMAGNETIC WAVES PIER 48 Progress In Electromagnetics Research ChiefEditor: J. A. Kong EMW Publishing Cambridge, Massachusetts, USA
4
5 CONTENTS Chapter 1. PROPAGATORS AND SCATTERING OF ELECTROMAGNETIC WAVES IN PLANAR BIANISOTROPIC SLABS AN APPLICATION TO FREQUENCY SELECTIVE STRUCTURES G. Kristensson, S. Poulsen, and S. Rikte 1 Introduction Geometry Lateral Fourier Transform of the Fields Consequences for the Maxwell Equations Propagationinthe Stratified Region Wave Splitting Propagators General Formulation of Problem Special Case Several Screens (N >1) Special Case One Screen (N =1) The Periodic Case FSS Numerical Examples Conclusions Acknowledgment References Chapter 2. ELECTROMAGNETIC IMAGING FOR AN IMPERFECTLY CONDUCTING CYLINDER BURIED IN A THREE-LAYER STRUCTURE BY THE GENETIC ALGORITHM Y.-S. Lee, C.-C. Chiu, and Y.-S. Lin 1 Introduction Theoretical Formulation Imaging Problem Steady-State Genetic Algorithm Numerical Results Conclusions Appendix A References v
6 Chapter 3. SYMMETRY RELATIONS OF THE TRANSLATION COEFFICIENTS OF THE SPHERICAL SCALAR AND VECTOR MULTIPOLE FIELDS K. T. Kim 1 Introduction Scalar and Vector Spherical Multipole Fields and Their Translation Formulas Symmetry Relations of the Translation Coefficient of the Scalar Spherical Multipole Field Spatial Inversion of the Translation Vector Interchange of Mode Indices Simultaneous Changes of the Signs of the Azimuthal Indices Reflection of the Translation Vector about the yz-, zx-, and xy-planes Symmetry Relations of the Translation Coefficients of the Transverse Vector Spherical Multipole Fields Spatial Inversion of the Translation Vector Interchange of Modal Indices Simultaneous Changes of the Signs of the Azimuthal Indices Reflection of the Translation Vector about the xy-, zy-, and zy-planes Summary Acknowledgment Appendix A References Chapter 4. THE ELECTROMAGNETIC-WAVE PROPAGATION THROUGH A STRATIFIED INHOMOGENEOUS ANISOTROPIC MEDIUM F. Bass and L. Resnick 1 Introduction Electromagnetic-Wave Propagation in Isotropic Inhomogeneous Medium Equations for Electromagnetic Waves Propagating through Anisotropic Layered Media vi
7 4 Faraday Effect in Inhomogeneous Anisotropic Media Conclusions Acknowledgment References Chapter 5. PERTURBATIONS OF DISPERSION-MANAGED OPTICAL SOLITONS A. Biswas 1 Introduction Governing Equations Pulse Dynamics Variational Principle Gaussian Pulses Super-Gaussian Pulses PerturbationTerms Gaussian Pulses Super-Gaussian Pulses Observations Gaussian Pulses Super-Gaussian Pulses Conclusions Acknowledgment References Chapter 6. A NOVEL EVOLUTIONARY LEARNING TECHNIQUE FOR MULTI-OBJECTIVE ARRAY ANTENNA OPTIMIZATION Y. H. Lee, B. J. Cahill, S. J. Porter, and A. C. Marvin 1 Introduction The Neural Network Genetic Algorithm Single Layer Neural Network Widrow-Hoff Learning Algorithm The Genetic Algorithm Objective Function Neural Network Enhanced Genetic Algorithm Numerical Results Case One vii
8 3.2Case Two Convergence Conclusion References Chapter 7. SPACE-TIME REVERSAL SYMMETRY PROPERTIES OF ELECTROMAGNETIC GREEN S TENSORS FOR COMPLEX AND BIANISOTROPIC MEDIA V. Dmitriev 1 Introduction Symmetry Descriptionof the Problem Space-Time Reversal Symmetry Properties of Green s Tensors Definition of Green s Tensors Time Reversal and Space Inversion Transformations of Green s Tensors Differential Equations for Green s Tensors in (r,ω) Domain Symmetry Operators Space (Rotation-Reflection) Symmetry of Green s Tensors Combined Space (Rotation-Reflection)-Time Reversal Symmetry of Green s Tensors Constraints on Green s Tensors for Media Symmetrical with Respect to the Restricted Time Reversal and for Media with Center and Anticenter of Symmetry Green s Tensors for Bianisotropic Uni-Axial Media Green s Tensors for Isotropic Achiral Media Green s Tensors for Isotropic Chiral Media Green s Tensors for Magnetic Chiral Media Discussion and Conclusions Acknowledgment Appendix A. Brief Description of Point Magnetic Groups Appendix B. Matrix Representations of 3D Point Symmetry Operators Appendix C. Spatial and Time-Reversal Transformation Properties of Scalar and Vector Functions, Tensors and the Curl Operator viii
9 Appendix D. Time Reversal, Formally Adjoint and Lorentz Adjoint Maxwell s Equations Appendix E. Comparison of Symmetry Properties of the Constitutive Tensors and Green s Tensors for Reciprocal Bianisotropic Media References Chapter 8. A MULTI-SOURCE STRATEGY BASED ON A LEARNING-BY-EXAMPLES TECHNIQUE FOR BURIED OBJECT DETECTION E. Bermani, A. Boni, S. Caorsi, M. Donelli, and A. Massa 1 Introduction Formulationof the RegressionProblem LBE-Based Technique for Buried Object Detection The SVM Algorithm Results Conclusions References Chapter 9. BATEMAN CONFORMAL TRANSFORMATIONS WITHIN THE FRAMEWORK OF THE BIDIRECTIONAL SPECTRAL REPRESENTATION I. M. Besieris, A. M. Shaarawi, and A. M. Attiya 1 Introduction Comments on and Extensions of the Borisov-Utkin and Kiselev Work Simplification and Extension of Kiselev s Work Bateman Conformal Transformations within the Framework of the Bidirectional Spectral Representation Brittingham s Decomposition The Bidirectional Spectral Synthesis The Formulation of a Novel Global Ansatz Concluding Remarks Appendix A. m +1-Dimensional Bateman Conformal Transformations References ix
10 Chapter 10. DESIGN OF WIDEBAND TRIANGLE SLOT ANTENNAS WITH TUNING STUB A. A. Eldek, A. Z. Elsherbeni, and C. E. Smith 1 Introduction Antenna Geometry Parametric Study Verifications RadiationProperties Antenna Arrays Effect of Bending the Antenna Comparison with Bow-Tie Antennas Conclusion Acknowledgment References Chapter 11. NON-RELATIVESTIC SCATTERING BY TIME-VARYING BODIES AND MEDIA D. Censor 1 Introduction First Order Lorentz Transformation Uniformly Moving Plane Interface Uniformly Moving Half Space Oscillating Plane Interface Oscillating Half Space Medium Boundary-Value Problem: Oscillating Cylinder Derivationof the Scattered Field Boundary-Value Problem: Oscillating Cylindrical Medium Concluding Remarks References Chapter 12. FAST CONVERGING AND WIDELY APPLICABLE FORMULATION OF THE DIFFERENTIAL THEORY FOR ANISOTROPIC GRATINGS K. Watanabe 1 Introduction x
11 2 Statement of the Problem Constitutive Relations in Fourier Space Comparisonwith Previous Works Conclusion References Chapter 13. PULSE COMPRESSION USING A PERIODICALLY DIELECTRIC LOADED DISPERSIVE WAVEGUIDE E. C. Thirios, D. I. Kaklamani, and N. K. Uzunoglu 1 Introduction Analysis of the Guiding Structure Analysis of the Finite Structure Analysis of the Infinite Structure Numerical Computations of Propagation Characteristics Al 2 O 3 Finite Periodic Waveguide of 100 Unit Cells: Matching Transformer Based on Empirical Selection of thelayers Al 2 O 3 Finite Periodic Waveguide of 100 Unit Cells: Matching Transformer Selection Based on the Powell Method Al 2 O 3 Finite Periodic Waveguide of 645 Unit Cells with Matching Transformer Calculated with the Help of Powell Method TiO 2 Finite Periodic Waveguide of 1695 Unit Cells with Matching Transformer Calculated with the Help of Powell Method Comparison of the Transmission Coefficients in the Cases of the Matched Periodic Mediums of 14 Unit Cells, with and without Metallic Envelope Experimental Study of the Finite Periodic Waveguide of 14 Unit Cells Conclusion References xi
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