ELECTROMAGNETIC WAVES PIER 48 Progress In Electromagnetics Research
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ELECTROMAGNETIC WAVES PIER 48 Progress In Electromagnetics Research ChiefEditor: J. A. Kong EMW Publishing Cambridge, Massachusetts, USA
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... 2 2 Geometry... 3 3 Lateral Fourier Transform of the Fields... 5 3.1 Consequences for the Maxwell Equations... 5 4 Propagationinthe Stratified Region... 7 4.1 Wave Splitting... 7 4.2Propagators... 9 5 General Formulation of Problem... 9 5.1 Special Case Several Screens (N >1)... 13 5.2Special Case One Screen (N =1)... 15 6 The Periodic Case FSS... 16 7 Numerical Examples... 21 8 Conclusions... 23 Acknowledgment... 23 References... 23 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... 28 2 Theoretical Formulation... 28 2.1 Imaging Problem... 28 2.2 Steady-State Genetic Algorithm... 33 3 Numerical Results... 33 4 Conclusions... 38 Appendix A.... 39 References... 42 v
Chapter 3. SYMMETRY RELATIONS OF THE TRANSLATION COEFFICIENTS OF THE SPHERICAL SCALAR AND VECTOR MULTIPOLE FIELDS K. T. Kim 1 Introduction... 46 2 Scalar and Vector Spherical Multipole Fields and Their Translation Formulas... 49 3 Symmetry Relations of the Translation Coefficient of the Scalar Spherical Multipole Field... 52 3.1 Spatial Inversion of the Translation Vector... 53 3.2Interchange of Mode Indices... 53 3.3 Simultaneous Changes of the Signs of the Azimuthal Indices... 54 3.4 Reflection of the Translation Vector about the yz-, zx-, and xy-planes... 56 4 Symmetry Relations of the Translation Coefficients of the Transverse Vector Spherical Multipole Fields. 56 4.1 Spatial Inversion of the Translation Vector... 57 4.2Interchange of Modal Indices... 58 4.3 Simultaneous Changes of the Signs of the Azimuthal Indices... 60 4.4 Reflection of the Translation Vector about the xy-, zy-, and zy-planes... 62 5 Summary... 63 Acknowledgment... 64 Appendix A.... 64 References... 65 Chapter 4. THE ELECTROMAGNETIC-WAVE PROPAGATION THROUGH A STRATIFIED INHOMOGENEOUS ANISOTROPIC MEDIUM F. Bass and L. Resnick 1 Introduction... 68 2 Electromagnetic-Wave Propagation in Isotropic Inhomogeneous Medium... 68 3 Equations for Electromagnetic Waves Propagating through Anisotropic Layered Media... 76 vi
4 Faraday Effect in Inhomogeneous Anisotropic Media. 78 5 Conclusions... 82 Acknowledgment... 82 References... 82 Chapter 5. PERTURBATIONS OF DISPERSION-MANAGED OPTICAL SOLITONS A. Biswas 1 Introduction... 86 2 Governing Equations... 88 3 Pulse Dynamics... 91 4 Variational Principle... 93 4.1 Gaussian Pulses... 95 4.2Super-Gaussian Pulses.... 96 5 PerturbationTerms... 98 5.1 Gaussian Pulses... 100 5.2Super-Gaussian Pulses.... 100 6 Observations... 101 6.1 Gaussian Pulses... 107 6.2Super-Gaussian Pulses.... 112 7 Conclusions... 121 Acknowledgment... 122 References... 122 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... 126 2 The Neural Network Genetic Algorithm... 127 2.1 Single Layer Neural Network... 127 2.2 Widrow-Hoff Learning Algorithm... 128 2.3 The Genetic Algorithm.... 129 2.4 Objective Function... 130 2.5 Neural Network Enhanced Genetic Algorithm... 130 3 Numerical Results... 132 3.1 Case One... 132 vii
3.2Case Two... 135 3.3 Convergence... 139 4 Conclusion... 141 References... 142 Chapter 7. SPACE-TIME REVERSAL SYMMETRY PROPERTIES OF ELECTROMAGNETIC GREEN S TENSORS FOR COMPLEX AND BIANISOTROPIC MEDIA V. Dmitriev 1 Introduction... 146 2 Symmetry Descriptionof the Problem... 150 3 Space-Time Reversal Symmetry Properties of Green s Tensors... 154 3.1 Definition of Green s Tensors... 154 3.2Time Reversal and Space Inversion Transformations of Green s Tensors... 155 3.3 Differential Equations for Green s Tensors in (r,ω) Domain156 3.4 Symmetry Operators...... 157 3.5 Space (Rotation-Reflection) Symmetry of Green s Tensors159 3.6 Combined Space (Rotation-Reflection)-Time Reversal Symmetry of Green s Tensors... 160 4 Constraints on Green s Tensors for Media Symmetrical with Respect to the Restricted Time Reversal and for Media with Center and Anticenter of Symmetry. 162 5 Green s Tensors for Bianisotropic Uni-Axial Media.. 164 6 Green s Tensors for Isotropic Achiral Media... 167 7 Green s Tensors for Isotropic Chiral Media... 168 8 Green s Tensors for Magnetic Chiral Media... 169 9 Discussion and Conclusions... 171 Acknowledgment... 173 Appendix A. Brief Description of Point Magnetic Groups... 173 Appendix B. Matrix Representations of 3D Point Symmetry Operators... 175 Appendix C. Spatial and Time-Reversal Transformation Properties of Scalar and Vector Functions, Tensors and the Curl Operator... 176 viii
Appendix D. Time Reversal, Formally Adjoint and Lorentz Adjoint Maxwell s Equations... 179 Appendix E. Comparison of Symmetry Properties of the Constitutive Tensors and Green s Tensors for Reciprocal Bianisotropic Media... 181 References... 181 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... 186 2 Formulationof the RegressionProblem... 187 3 LBE-Based Technique for Buried Object Detection The SVM Algorithm... 189 4 Results... 191 5 Conclusions... 198 References... 198 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... 202 2 Comments on and Extensions of the Borisov-Utkin and Kiselev Work... 204 3 Simplification and Extension of Kiselev s Work... 206 4 Bateman Conformal Transformations within the Framework of the Bidirectional Spectral Representation... 211 4.1 Brittingham s Decomposition... 211 4.2The Bidirectional Spectral Synthesis... 215 4.3 The Formulation of a Novel Global Ansatz... 223 5 Concluding Remarks... 225 Appendix A. m +1-Dimensional Bateman Conformal Transformations... 226 References... 229 ix
Chapter 10. DESIGN OF WIDEBAND TRIANGLE SLOT ANTENNAS WITH TUNING STUB A. A. Eldek, A. Z. Elsherbeni, and C. E. Smith 1 Introduction... 234 2 Antenna Geometry... 235 3 Parametric Study... 236 4 Verifications... 239 5 RadiationProperties... 240 6 Antenna Arrays... 241 7 Effect of Bending the Antenna... 243 8 Comparison with Bow-Tie Antennas... 244 9 Conclusion... 247 Acknowledgment... 247 References... 247 Chapter 11. NON-RELATIVESTIC SCATTERING BY TIME-VARYING BODIES AND MEDIA D. Censor 1 Introduction... 250 2 First Order Lorentz Transformation... 251 3 Uniformly Moving Plane Interface... 255 4 Uniformly Moving Half Space... 258 5 Oscillating Plane Interface... 260 6 Oscillating Half Space Medium... 263 7 Boundary-Value Problem: Oscillating Cylinder... 264 8 Derivationof the Scattered Field... 272 9 Boundary-Value Problem: Oscillating Cylindrical Medium... 274 10 Concluding Remarks... 276 References... 277 Chapter 12. FAST CONVERGING AND WIDELY APPLICABLE FORMULATION OF THE DIFFERENTIAL THEORY FOR ANISOTROPIC GRATINGS K. Watanabe 1 Introduction... 279 x
2 Statement of the Problem... 282 3 Constitutive Relations in Fourier Space... 285 4 Comparisonwith Previous Works... 290 5 Conclusion... 297 References... 298 Chapter 13. PULSE COMPRESSION USING A PERIODICALLY DIELECTRIC LOADED DISPERSIVE WAVEGUIDE E. C. Thirios, D. I. Kaklamani, and N. K. Uzunoglu 1 Introduction... 302 2 Analysis of the Guiding Structure... 304 2.1 Analysis of the Finite Structure... 304 2.2 Analysis of the Infinite Structure... 306 3 Numerical Computations of Propagation Characteristics... 308 3.1 Al 2 O 3 Finite Periodic Waveguide of 100 Unit Cells: Matching Transformer Based on Empirical Selection of thelayers... 309 3.2Al 2 O 3 Finite Periodic Waveguide of 100 Unit Cells: Matching Transformer Selection Based on the Powell Method... 315 3.3 Al 2 O 3 Finite Periodic Waveguide of 645 Unit Cells with Matching Transformer Calculated with the Help of Powell Method... 318 3.4 TiO 2 Finite Periodic Waveguide of 1695 Unit Cells with Matching Transformer Calculated with the Help of Powell Method... 320 3.5 Comparison of the Transmission Coefficients in the Cases of the Matched Periodic Mediums of 14 Unit Cells, with and without Metallic Envelope... 324 4 Experimental Study of the Finite Periodic Waveguide of 14 Unit Cells... 326 5 Conclusion... 330 References... 331 xi