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Preface | p. xvii |
Introduction | p. 1 |
References | p. 6 |
Basic Electromagnetics | p. 9 |
The Electromagnetic Field Concept | p. 9 |
Field Intensities | p. 12 |
Current and Flux Densities | p. 16 |
Constitutive Relations | p. 18 |
The Charge Density | p. 23 |
The Maxwell Puzzle | p. 24 |
The Integral Form of Maxwell's Equations | p. 26 |
The Electromagnetic Wave | p. 29 |
The Wave Equation | p. 35 |
The Polarization of Electromagnetic Waves | p. 36 |
Kirchhoff's Laws | p. 38 |
Maxwell's Equations in Local Form | p. 41 |
Time-Harmonic Electromagnetic Fields | p. 43 |
Maxwell's Equations in the Frequency Domain | p. 44 |
Curvilinear Coordinates | p. 46 |
Boundary Conditions | p. 47 |
Problems | p. 56 |
References | p. 59 |
Potentials and Waves | p. 61 |
The Electromagnetic Potentials | p. 61 |
The Helmholtz Equation | p. 65 |
Time-Harmonic Plane Waves | p. 67 |
Time-Harmonic Plane Waves in Lossless Medium | p. 69 |
Complex Waves | p. 72 |
TM and TE Fields and Waves | p. 74 |
Reflection and Transmission of Plane Waves | p. 77 |
Reflection and Diffraction of a TE Wave at a Plane Boundary | p. 80 |
Reflection and Diffraction of a TM Wave at a Plane Boundary | p. 83 |
Total Reflection | p. 86 |
Waves in Planar Layered Media | p. 89 |
Thin Conducting Sheets | p. 93 |
The Vector Wave Equation | p. 94 |
Circular Cylindrical Waves | p. 98 |
Excitation of a Cylindric Wave by a Uniform Current Filament | p. 101 |
Spherical Waves | p. 106 |
Problems | p. 106 |
References | p. 107 |
Concepts, Methods, and Theorems | p. 109 |
Energy and Power | p. 109 |
Field Theoretic Formulation of Tellegen's Theorem | p. 116 |
Sources of the Electromagnetic Field | p. 118 |
The Uniqueness Theorem | p. 120 |
The Equivalence Principle | p. 121 |
Babinet's Principle | p. 123 |
Reciprocity | p. 125 |
The Lorentz Reciprocity Theorem | p. 125 |
The Reciprocity Theorem for Impressed Sources | p. 126 |
Green's Function | p. 128 |
The Integral Equation Method | p. 133 |
The Free-Space Green's Dyadic Form | p. 136 |
Green's Theorems | p. 136 |
The Scalar Green's Theorems | p. 136 |
Green's Theorems in Two Dimensions | p. 138 |
The Vector Green's Theorems | p. 140 |
Integral Formulation of the Equivalence Principle | p. 141 |
The Sturm-Liouville Equation | p. 143 |
Spectral Representation of Green's Functions | p. 146 |
Problems | p. 148 |
References | p. 148 |
Static and Quasistatic Fields | p. 151 |
Conditions for Static and Quasistatic Fields | p. 151 |
Static and Quasistatic Electric Fields | p. 153 |
Green's Function for the Static Electric Field | p. 153 |
Capacitance | p. 155 |
Static and Quasistatic Magnetic Fields | p. 161 |
Green's Function for the Static Magnetic Field | p. 161 |
Inductance | p. 163 |
The Laplace Equation | p. 169 |
Potential Separation Planes | p. 170 |
Three-Dimensional Laplace Equation in Cartesian Coordinates | p. 171 |
Conformal Mapping | p. 174 |
Field of an Elliptic Cylindric Line | p. 181 |
Field of a Coaxial Line | p. 183 |
Parallel Wire Line | p. 186 |
The Schwarz-Christoffel Transformation | p. 191 |
The Coplanar Line | p. 193 |
The Coplanar Stripline | p. 196 |
The Stripline | p. 197 |
Problems | p. 201 |
References | p. 204 |
Waves at the Surface of Conducting Media | p. 207 |
Transverse Magnetic Surface Waves | p. 208 |
Surface Currents | p. 216 |
Surface Current Losses | p. 221 |
Induced Surface Currents | p. 224 |
Problems | p. 227 |
References | p. 228 |
Transmission-Lines and Waveguides | p. 229 |
Introduction | p. 229 |
Phase and Group Velocity | p. 232 |
The Field Components | p. 233 |
Waveguides for Transverse Electromagnetic Waves | p. 235 |
Multiconductor Transmission-Lines | p. 249 |
Quasi-TEM Modes of Transmission-Lines | p. 254 |
Quasi-TEM Modes of Two-Conductor Transmission-Lines | p. 254 |
Quasi-TEM Modes of Multiconductor Transmission-Lines | p. 259 |
Planar Transmission-Lines | p. 260 |
The Microstrip Line | p. 260 |
Quasistatic Approximation for the Microstrip Line | p. 262 |
Coplanar Waveguide and Coplanar Stripline | p. 265 |
Hollow Waveguides | p. 266 |
TE Modes | p. 266 |
TM Modes | p. 270 |
Modal Expansions in Waveguides | p. 272 |
Rectangular Waveguides | p. 276 |
Transverse Electric Modes | p. 276 |
Transverse Magnetic Modes | p. 282 |
Power Flow in the Waveguide | p. 284 |
Orthogonality of the Waveguide Modes | p. 285 |
Generalized Currents and Voltages in Waveguides | p. 286 |
Attenuation Due to Conductor Losses | p. 289 |
Attenuation Due to Dielectric Losses | p. 291 |
Circular Cylindric Waveguides | p. 292 |
The Circular Waveguide Modes | p. 292 |
Power Flow and Attenuation in the TE[subscript 01] Mode | p. 298 |
Radial Waveguides | p. 300 |
Radial Parallel Plate Waveguide | p. 300 |
Wedged Radial Parallel Plate Waveguide | p. 307 |
Spherical Waveguides | p. 309 |
Conical Waveguide | p. 311 |
Biconical Waveguide | p. 313 |
Dielectric Waveguides and Optical Fibers | p. 316 |
Homogeneous Planar Dielectric Waveguides | p. 316 |
Dielectric Slab with Single-Sided Metallization | p. 320 |
Circular Dielectric Waveguides with Step Index Profile | p. 322 |
Problems | p. 329 |
References | p. 333 |
The Transmission-Line Equations | p. 335 |
The Transmission-Line Concept | p. 335 |
Generalized Voltages and Currents | p. 337 |
Solution of the Transmission-Line Equations | p. 341 |
Wave Amplitudes | p. 344 |
Reflection Coefficient and Smith Chart | p. 346 |
Impedance Matching with Lumped Elements | p. 353 |
Impedance Matching with Stubs | p. 355 |
Solution of the Multiconductor Transmission-Line Equations | p. 356 |
Multimode Excitation of Uniform Hollow Waveguides | p. 363 |
The Transverse Field Equations | p. 363 |
Modal Field Representation | p. 366 |
Multimode Transmission-Line Equations for Hollow Waveguides | p. 368 |
Multimode Transmission-Line Equations of Lossless Waveguides without Internal Sources | p. 374 |
Green's Functions for Transmission-Lines | p. 375 |
Green's Function for the Transmission-Line with Matched Terminations | p. 378 |
Green's Function for the Transmission-Line with Arbitrary Linear Passive Terminations | p. 379 |
Problems | p. 381 |
References | p. 384 |
Resonant Circuits and Resonators | p. 385 |
The Linear Passive One-Port | p. 385 |
The Reactance Theorem | p. 387 |
Resonant Circuits | p. 389 |
The Transmission-Line Resonator | p. 392 |
Cavity Resonators | p. 395 |
The Rectangular Cavity Resonator | p. 395 |
The Circular Cylindric Cavity Resonator | p. 399 |
Coupling of Resonant Circuits and Resonators | p. 402 |
The Loaded Quality Factor | p. 402 |
Termination of a Transmission-Line with a Resonant Circuit | p. 403 |
Inductive Coupling of Cavity Resonators | p. 405 |
Orthogonality of the Resonator Modes | p. 407 |
Excitation of Resonators by Internal Sources | p. 409 |
Problems | p. 411 |
References | p. 412 |
Passive Microwave Circuits | p. 413 |
Linear Multiports | p. 413 |
Source-Free Linear Multiports | p. 414 |
Impedance and Admittance Representations | p. 414 |
The Chain Matrix | p. 415 |
The Scattering Matrix | p. 419 |
The Transmission Matrix | p. 424 |
Tellegen's Theorem | p. 425 |
Connection Networks | p. 428 |
Tellegen's Theorem for Discretized Fields | p. 429 |
The Power Properties | p. 430 |
Reciprocal Multiports | p. 431 |
Elementary Two-Ports | p. 433 |
Signal Flow Graphs | p. 436 |
Lumped Element Equivalent Circuits | p. 439 |
Foster Representation of Reactance Multiports | p. 439 |
Cauer Representation of Radiating Structures | p. 445 |
Obstacles in Waveguides | p. 450 |
The Symmetry Properties of Waveguide Junctions | p. 456 |
Symmetric Three-Port Waveguide Junctions | p. 457 |
Symmetric Four-Port Waveguide Junctions | p. 460 |
Problems | p. 463 |
References | p. 466 |
Periodic Structures and Filters | p. 467 |
Periodic Electromagnetic Structures | p. 467 |
TE Modes in Rectangular Periodic Waveguides | p. 467 |
Sinusoidal Variation of the Permittivity | p. 472 |
Wave Parameter Theory of Two-Ports | p. 474 |
Lumped Low-Pass Filter Prototypes | p. 481 |
The Butterworth Prototype | p. 482 |
The Chebyshev Prototype | p. 485 |
Ladder Filter Networks | p. 488 |
Butterworth Ladder Networks | p. 489 |
Chebyshev Ladder Networks | p. 490 |
Frequency Transformation | p. 492 |
Low-Pass to High-Pass Transformation | p. 492 |
Low-Pass to Band-Pass Transformation | p. 493 |
Low-Pass to Band-Stop Transformation | p. 495 |
Transmission-Line with Periodic Load | p. 497 |
Plane Wave Scattering by Periodic Structures | p. 501 |
Scattering of te Waves by Periodic Structures | p. 501 |
Scattering of tm Waves by Periodic Structures | p. 505 |
Metamaterials | p. 507 |
Problems | p. 515 |
References | p. 517 |
Radiation from Dipoles | p. 519 |
The Hertzian Dipole | p. 519 |
Aperiodic Spherical Waves | p. 524 |
Vertically Oriented Electric Dipole over Lossy Half-Space | p. 528 |
The Far-Field of the Vertical Dipole over Ground | p. 538 |
The Surface Wave | p. 539 |
Horizontally Oriented Electric Dipole over Lossy Half-Space | p. 540 |
Problems | p. 544 |
References | p. 545 |
Antennas | p. 547 |
Introduction | p. 547 |
Linear Antennas | p. 549 |
The Integral Equation for the Linear Antenna | p. 555 |
The Impedance of the Linear Antenna | p. 558 |
The Loop Antenna | p. 560 |
Receiving Antennas | p. 563 |
The Hertzian Dipole as Receiving Antenna | p. 563 |
The Loop Antenna as Receiving Antenna | p. 564 |
The Linear Dipole Antenna as Receiving Antenna | p. 565 |
Gain and Effective Antenna Aperture | p. 569 |
Antenna Arrays | p. 575 |
Linear Antenna Arrays | p. 575 |
Circular Antenna Arrays | p. 577 |
Aperture Antennas | p. 578 |
Radiating Apertures | p. 578 |
Horn Antennas | p. 582 |
Gain and Effective Area of Aperture Antennas | p. 585 |
Mirror and Lens Antennas | p. 587 |
Slot Antennas | p. 589 |
Microstrip Antennas | p. 591 |
Planar Rectangular Patch Antenna | p. 593 |
Broadband Antennas | p. 595 |
Problems | p. 597 |
References | p. 601 |
Numerical Electromagnetics | p. 603 |
Introduction | p. 603 |
The Method of Moments | p. 605 |
The Transmission-Line Matrix Method | p. 611 |
The Mode Matching Method | p. 617 |
References | p. 623 |
Vectors and Differential Forms | p. 627 |
Vectors | p. 627 |
Differential Forms | p. 631 |
Products of Exterior Differential Forms | p. 632 |
The Contraction | p. 633 |
The Exterior Derivative | p. 634 |
The Laplace Operator | p. 635 |
Stokes' Theorem | p. 636 |
Curvilinear Coordinates | p. 640 |
General Cylindrical Coordinates | p. 646 |
Circular Cylindric Coordinates | p. 647 |
Spherical Coordinates | p. 650 |
Twisted Forms | p. 653 |
Integration of Differential Forms by Pullback | p. 653 |
Double Differential Forms | p. 654 |
Relations between Exterior Calculus and Conventional Vector Notation | p. 656 |
Differential Operators | p. 656 |
Maxwell's Equations | p. 656 |
References | p. 657 |
Special Functions | p. 659 |
Ordinary Bessel Functions | p. 659 |
Modified Bessel Functions | p. 662 |
Spherical Bessel Functions | p. 665 |
Legendre Polynomials | p. 667 |
Spherical Harmonics | p. 670 |
References | p. 672 |
Linear Algebra | p. 673 |
Unitary Vector Space | p. 673 |
Diagonalization of a Matrix | p. 679 |
Matrix Functions | p. 681 |
The Hilbert Space | p. 683 |
Linear Operators in Hilbert Space | p. 686 |
Function Spaces | p. 691 |
Function Spaces with Biorthogonal Basis | p. 693 |
References | p. 696 |
Fourier Series and Fourier Transform | p. 697 |
The Fourier Series | p. 697 |
The Fourier Integral | p. 699 |
The Delta Distribution | p. 701 |
References | p. 704 |
Complex Integration | p. 705 |
Analytic Functions | p. 705 |
The Residue Theorem | p. 707 |
The Saddle-Point Method | p. 708 |
References | p. 710 |
List of Symbols | p. 711 |
About the Author | p. 717 |
Index | p. 719 |
Table of Contents provided by Ingram. All Rights Reserved. |
ISBN: 9781580539074
ISBN-10: 1580539076
Series: Artech House Antennas and Propagation Library
Published: 30th April 2006
Format: Hardcover
Language: English
Number of Pages: 754
Audience: Professional and Scholarly
Publisher: ARTECH HOUSE INC
Country of Publication: US
Edition Number: 2
Edition Type: Revised
Dimensions (cm): 23.37 x 16.1 x 4.27
Weight (kg): 1.12
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