COPYRIGHTED MATERIAL INDEX
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1 INDEX A Absorption electronic, 412 vibrational, 412 Acceptance angle, 410, 419 American wire gauge (AWG), 626 Ampere, Andre Marie, 4 Ampere s circuital law, , differential (point)form, 234 integral form, 303 Ampere s law of force, 243 Amperian path, 225 Amplifier, bypass capacitor, coupling capacitor, dynamic range, gain, 592 matching network, maximum power, noise figure, scattering matrix, signal-to-noise ratio, 593 transducer power gain, 595 VSWR, Amplitude, 18 Angular frequency, 19 Antenna dipole, 426, directional, 429 dish, ferrite-core, 511 ferrite-loop, 447 folded dipole, 475, 491 half-wave dipole, horn, , 488 isotropic, 429 loop, 426 magnetic dipole, patch, 7, rubber duck, slot, 490 small loop, Yagi-Uda, Antenna array, 7, array factor, 471 unit factor, 471 Antenna matching, , Antenna properties beamwidth, 431 efficiency, 437 impedance, lobes, 431 normalized power, 429 normalized radiation intensity, 429 nulls, 431 polar plot, 430 polarization, 429 power gain, 437 radiated power, radiation resistance, 436 resonant condition, 460 total radiated power, 433 Antennas, Antiferromagnetic, Array factor, 471 Attenuation, 21, 323, 331, 412, 526 silica fiber, 412 Avalanche photodiode, 417 Axial ratio, 349, 371 Azimuthal angle, 126 B Backscatter modulation, 607 Balanced amplifier, Bandpass filter, , Bandstop filter, Bandwidth, 519 Beam solid angle, Beam steering, 467 Beamwidth, 431 Biot, Jean Baptiste, 214 Biot-Savart s law, Bipolar junction transistor, Bit error rate, 421 Bond straps, 521 Bond wire, 521 Bounce diagram, 89 Boundary conditions, , 354, 389 electrostatic, magnetostatic, Boundary value problems, Breakdown voltage, 177, 627 Brewster angle, Broadside array, 468 Burrus LED, 415 Butterworth filter, 576, 581 Bypass capacitor, C Capacitance, Capacitor, 3, 195, , coaxial, 196 electrolytic, , 513 EMC, 513 interdigitated, mica, 515 multilayer ceramic, parallel plate, 13 14, 195 Carbon composite resistor, Cartesian coordinates, Differential element, 121 Cartesian-to-cylindrical coordinate conversion, 130 Cartesian-to-spherical coordinate conversion, Cassegrain reflector, Cell, 6 Cellular telephone, 6 8 Characteristic impedance, 34, Charge density, 134, 139, 145 linear, 134 surface, 139 volume, 145 Charge sheet, Charge-free medium, 328 Chebyshev filter, 576, Chip resistor, Choke, Chromatic dispersion, 412 Circuit board, 506, 543 Circular waveguide, Circulation, 225 Circulator, insertion loss, 569 isolation, 569 VSWR, 569 COPYRIGHTED MATERIAL 650
2 INDEX 651 Coaxial cable, 32 37, 44 45, , 408 capacitance, distributed resistance, electric field, MATLAB, magnetic field, MATLAB, Resistance, 180 Coercive field intensity, 256 Colatitude, 126 Common-mode choke, Compass, 208, 214 Complex conjugate, 563, 623 Complex load, 53 Complex numbers, 26, Complex permittivity, 330 Conductance, 34, Conduction current density, 178 Conductive ink, Conductive strap, 521 Conductivity, , 625 Conductor current, Conductors, 176, AC resistance, DC resistance, 503 inductance, Conservation of magnetic flux, 239 Constitutive parameters, 176, 305 Convection current density, 178 Conversion factors, 9 Conversion loss, 603 Coordinate system transformation, Coplanar waveguide, 550 Coulomb, Charles Augustus, 122 Coulomb s law, Counterpoise, 465 Coupler, 568, , directivity, 573 isolation, 573 Lange, , main line loss, 573 quadrature hybrid (branch-line), 575 ring hybrid (rat race), Coupling capacitor, Coupling coefficient, 572 Critical angle, 363, 399, 410 Cross product, Curie temperature, 256 Curl, , 615 cylindrical coordinates, 236 spherical coordinates, 236 Current, 178 conduction, Current continuity, Current density, 178 conduction, 178 convention, 178 displacement, 178 Cutoff frequency, 373, 375ff Cylindrical coordinates, MATLAB, differential element, vector, 131 Cylindrical-to-Cartesian coordinate conversion, 130 D DC motor, Decibel, Del operator, 163 Derivative (definition), 38 Descartes, Rene, 115 DI noise, 513 Diamagnetic, 253 Dielectric, 3, 34, Dielectric constant, 183 Dielectric strength, 184, 625 Dielectric waveguide, , field equations, propagation velocity, 405 TE mode, TM mode, Differential element, 121, Differential length, 121, , Differential solid angle, 431 Differential surface, 121, , Differential surface vector, 121, , Differential volume, 121, , Digital signal, Dimensional equation, 10 Dipole antenna, 426, current distribution, pattern function, 451 radiation resistance, 452 pattern solid angle, Directional antenna, Directional coupler, 571 antisymmetrical, 572 symmetrical, 572 Directive gain, 433 Directivity, , 573 Dish antenna, Dispersion, , 550 chromatic, 412 intermodal, 411, 413 material, 412 waveguide, 412 Displacement current, Displacement current density, 178, 302 Dissipated power, 181 Distributed parameters, MATLAB, Divergence, , 614 cylindrical coordinates, 164 spherical coordinates, 164 Divergence theorem, 165 Domain, Doped semiconductor, 145, Doppler effect, 484, Doppler frequency shift, 484, Dot product, 150 MATLAB, Dynamic fields, 286 Dynamic range, , 604 E Earth ground, Echo signal, 484 Eddy current, 295 Effective area, Effective conductivity, 330, 332 Effective relative permittivity, Electret, 185 microphone, Electric dipole, , 182, 462 Electric field, 3, 23 line charge, , point charge, 128, ring of charge, sheet charge, , Electric field intensity, Electric flux, Electric flux density, Electric potential, Electric potential difference, 168 MATLAB, Electric susceptibility, Electrical length, 566 Electrolytic capacitor, , 513 Electromagnet, Electromagnetic compatibility (EMC), 499 Electromagnetic fields, 2 5 Electromagnetic interference (EMI), Electromagnetic spectrum, 5 6 Electromotive force (emf), 288 Electronic absorption, 412 Electrostatic discharge (ESD), Electrostatic fields, 114
3 652 INDEX Electrostatic potential, 168 Electrostatic potential energy, Electrostatics, 114 Elliptically polarized, 348 Endfire array, 468 Engineering notation, 8 Equipotential line, 176 Equipotential medium, 179 Equipotential reference, Equipotential surface, 171 Erbium-doped fiber amplifier, Euler s identity, 26 Evanescent waves, 363 Exchange coupling, F Farad, 195 Faraday, Michael, 4, 288 Faraday s law, differential (point) form, 295 Far-field, 428, Ferrite, 257, 295, , 568 Ferrite bead, 535, 538 Ferrite choke, Ferrite core, 538 Ferrite core inductor, Ferrite-loop (core) antenna, 447, 511 Ferromagnetic, 254, 257 Fiber optic communication systems, Field, 3, 115 Field effect transistor (FET), 592 Field lines, 125 Film resistor, Filter, Filter bandpass, , bandstop, Butterworth, 576, 581 Chebyshev, 576, EMI, high-pass, , low-pass, , lumped-element, multisection, 576, 581 reflective, Filter properties cutoff (corner) frequency, 576, 580 insertion loss, , 581 passband, power loss ratio, 578 ripple, shape factor, 578 Flux linkage, 261 Folded dipole antenna, 475, 491 Fourier series, 26, , Fourier series pulse MATLAB, Franklin, Ben, 122 Free space, 4, 309 Free space permeability, 237 Free space permittivity, 3, 122 Frequency bands, 542 Friis transmission equation, Fringing fields, 196 Fundamental electromagnetics equations, 305 G Gain, 47 Gallium Arsenide (GaAs), Gauss, 237 Gauss s law, charge sphere, 161 coaxial cable, differential form, 164 line charge, point charge, point form, 164 sheet charge, Gauss s law for magnetic fields, 239, 259 General wave equations, Gilbert, William, 208 Glass optical fiber, Graded-index fiber, 413 Gradient, , 616 cylindrical coordinates, 172 spherical coordinates, 172 Gradient equation, 172 Ground loop, 521 Grounds, Guide wavelength, 381, 544 Gunn diode, 603 H Half-angle formula, 624 Half-wave dipole antenna, antenna impedance, 460 directivity, 459 maximum power density, 458 normalized power density, 458 radiation pattern, radiation resistance, 460 resonant condition, 460 Helmholtz wave equation, 322 Henry, 237 Henry, Joseph, 288 Hertz, 5 Hertz, Heinrich, 4, 426 Hertzian dipole, 427,438, , High-pass filter, , Homogeneous media, 176 Horn antenna, , 488 Hyperbolic functions, 624 Hysteresis loss, 256 I Image theory, IMPATT diode, 603 Impedance matching, Impedance matching networks, Impedance measurement, Impedance mismatch, 49 Index of refraction, 399 Inductance, coaxial cable, 263 solenoid, 262 wire, , Inductor, 4, ferrite core, loop, 510 self resonant frequency, Input impedance, MATLAB, Insertion loss, 533, 564, , 581 Instantaneous form of field equation, 26, 312 Instantaneous Poynting theorem, 342 Insulator, 177 Interdigitated capacitor, Interference, Intermodal dispersion, 411 Intrinsic impedance, , 329 conductors, free space, 329 Isolation, 573, 604 Isotropic, 176 Isotropic antenna, 429 Isotropic scatter, 484 J Jacob s ladder, 184 Joule s law, K Kirchhoff s current law, 38, 287 Kirchhoff s voltage law, 38, 169, 186 L Lange coupler, , Laplace s equation, 191 Laplacian operator, Laser, 415, 418 Laser diode, , 419
4 INDEX 653 Laser printer, Law of Biot-Savart, Lenz s law, 288 L-filter, Light-emitting diode (LED), , 418 Lightning, 500 Line charges, 129, Linear charge density, 134 Linear polarization, 347 Liquid crystal display (LCD), Loop antenna, 426 Loop inductor, 510 Lorentz force equation, 240 Loss tangent, 46, 304, , 625 Lossless line, Lossless media, 328 Lossless network, Lossless TEM waves, Loudspeaker, Low-loss dielectric, 332 Low-pass filter, , Lumped element, 48, 52 Lumped element matching network, , Lumped-element filter, M Maglev, Magnetic circuits, Magnetic dipole, Magnetic dipole moment, 249, Magnetic energy, Magnetic field, coaxial cable, line of current, , ring of current, sheet of current, solenoid, , Magnetic field intensity, 209 Magnetic fields, 4 Magnetic flux density, Magnetic force, on current element, Magnetic lodestone, 208 Magnetic materials, 35, Magnetic susceptibility, 252 Magnetic torque, Magnetization, 252 Magnetization curve, Magnetomotive force, 270 Magnetostatic boundary conditions, Magnetostatics, 208 Magnetron, , 541 Main line loss, 573 Mains signaling system, 502 Matched load, 49 Matching network, 76, Material dispersion, 412 MATLAB 3D plot of TEM wave, bandpass filter insertion loss, beam pattern, capacitor impedance, 516 coaxial cable, coaxial cable electric field, complex numbers, 621 cross product, 213 cylindrical to Cartesian coordinates, dielectric field plot, dipole current distribution, dipole numerical integration, dipole radiation pattern movie, distributed line vs. lumped element, distributed parameters, dot product, Fourier series of digital signal, Fourier series pulse, functions, 18 19, 629 getting started, input impedance, insertion loss, loss tangent, low pass filter insertion loss, 581 magnetic field for current in cylinder, 229 magnetic field on segment of current loop, math functions, 13 microstrip analysis, microstrip design, parallel function, 508 parallel plate capacitor, 13 14, plot, 17, 29 point charge potential, 173 polar plot animation, potential difference, programs, pulse response, pulse with dispersion, resistor impedance, ring of current, rotated circle on Smith chart, sheet charge, shield effectiveness, Smith chart, subplot, 28 transient plot, vectors, 120 volume charge, wave movie, wave parameters, wave plot, 24 wave polarization, waveguide field pattern, waveguide impedance plot, wire inductance, 14 Maximum power, Maxwell, James Clerk, 4, 302, 305 Maxwell s equations, 1,4, 305 phasor form, 313 simple media, 321 static fields, 239 Meandering resistor, Meissner effect, Metallic waveguide, , 398 Mica capacitor, 515 Microstrip, 32 33, , analysis, attenuation, 549 conductor attenuation, 549 design, dielectric attenuation, 549 effective relative permittivity, 544 guide wavelength, 544 maximum frequency, 545 propagation velocity, 544 Microwave amplifiers, Microwave CAD, 605 Microwave couplers, 568, Microwave oven, , 541 Microwave receiver, Microwaves, 541 Minimum detectable power, 417, 486 Mixer, conversion loss, 603 dynamic range, 604 isolation, 604 Monochromatic source, 411 Monopole antenna, directivity, 464 impedance, 464 inductive loading, 465 power density, radiation pattern, radiation resistance, 464 top-hap, 467 Monostatic radar, 484 Motional emf, Motor equation, 241 Multilayer ceramic capacitor,
5 654 INDEX Multimode fiber, 408,411,418 Multipoint ground, 524 Multisection filter, 576, 581 Mutual inductance, N Negative resistance oscillator, 603 Neper, 21, 48 Network analyzer, 76, 100, Network parameters, 557 Noise, 499 Noise figure, Nonlinear material, 184 Nonmagnetic, 46, 330 Normal incidence, Normalized admittance, 81 Normalized impedance, 62 Numeric precision, 8 9 Numerical aperture, Numerical integration, 140, , O Oblique incidence, Oersted, Hans Christian, 208, 214 Ohm s law, point form, 178 Optical amplifier, Optical connectors, Optical detector, Optical fiber, , cladding, 407 core, 407 glass, Optical link design, power budget, rise-time budget, Optical sources, Orbital moment, 253 Orthogonal, 115 Oscillator, negative resistance, 603 transistor, 603 P Parabolic reflector, Parallel plate capacitor, 195 Parallel polarization, 360, Paramagnetic, 254 Parasitic array, Parasitic effects, 503 Passband, Passive elements, Patch antenna, Pattern function, 451 Pattern multiplication, 471 Pattern solid angle, , Penetration depth, 337 Perfect dielectric, 328 Period, 20 Permanent magnet, 209, 254, 299, 568 Permeability, 4, 252 free space, 4 relative, 4 Permittivity, 3, 183 free space, 3 relative, 3 Perpendicular polarization, Phase, 19 Phase constant, 19 20, 43, 323, 331 Phase noise, 602 Phase shift, 19 Phase shifter, 468 Phase velocity, 23 Phasor, 26 29, 39, 312 Phasor form, 312 Phonon, 412 Photodiode, Photon, p-filter, Pigtailed device, 419 PIN photodiode, Planck s constant, 5 Plane of incidence, 360 Plane wave propagation in conductors, Plane waves, 320 p-n junction, Point charge potential MATLAB, 173 Point form of Ampere s circuital law, 234 Point form of Faraday s law, 295 Point form of Gauss s law, 164 Point form of Ohm s law, 178 Poisson s equation, 191 Polar molecule, Polar plot, 26 Polarization, antenna, 429 Polarization efficiency, Polarization vector, Position vector, 117 Power budget, Power density, Power transfer ratio, 479 Power transmission, 45 48, Poynting theorem, Principle of superposition, 123 Printed circuit board (PCB), 33 Propagating field relation, Propagation constant, 41, 323 Propagation mode, 374ff Propagation velocity, 23, 43 45, 309 conductors, 336 Pulse response, MATLAB, Pulse with dispersion MATLAB, Pythagorean theorem, , 126 Q Q-method, Quadratic equation, 623 Quadrature hybrid coupler, 575 Quarter-wave transformer, R Radar, Radar cross section, Radar equation, Radiation pattern, Radiation resistance, 436 Hertzian dipole, 444 small loop, 447 Radio frequency identification (RFID), Radio transmitter, Rail-gun, 277 Rat-race coupler, Reactive load, Receiver, Receiver matching, Receiving antenna, 426 Reciprocal network, 562 Rectangular waveguide, Reference ground, Reference plane shift, Reflection, 353 Reflection coefficient, 49, 355 Reflective filters, Relative permeability, 252, 626 Relative permittivity, 3, 183, 625 Relaxation time, 288 Reluctance, 271 Repeater, 414, Resistance, coaxial cable, 180 Resistive power dividers, 568, Resistors chip, film, meandering, serpentine, wire wound, carbon composite,
6 INDEX 655 Resonant antenna, 460 Response time, 421 Retarded vector magnetic potential, Return loss, 564 RF choke, RF front end, Right-hand rule, , 216, 225, 307 Right-handed coordinate system, 115 Ring hybrid coupler, Ring of charge, Ripple, Rise time, 417, 519 budget, Rubber duck antenna, S Safety ground, Savart, Felix, 214 Scalar field, 115 Scattering matrix, , Scattering parameters, Schottky diode termination, Self-inductance, 264 Semiconductor, Sensitivity, 417 Separation of variables, 388 Serpentine resistor, Sheet charge, MATLAB, Sheet resistance, Shielded cable, Shielding effectiveness, 525 Shields, T-Line analogy, Shift in reference plane, Signal degradation, Signal ground, Signal to noise ratio, 593 Significant digits, 8 9 Silica fiber attenuation, 412 Simple media, 321 Single-mode fiber, 4 8,411, 419 Single-point ground, Skilling wheel, 235 Skin depth, 35, 337, , 549 Skin-effect resistance, , 549 Slot antenna, 490 Slotted air line, Small loop antenna, Smith chart, 62 76, , impedance matching, MATLAB, Smith, Philip H., 62 Snell s law of reflection, 363 Snell s law of refraction, 363 Solenoid, magnetic field, Spectral bandwidth, 519 Speed of light, 5 Spherical coordinates, differential element, vector, Spherical-to-Cartesian coordinate conversion, 127 Spin moment, 253 Spread-spectrum, 519 Standing wave, 50 55, Standing wave ratio (SWR), Static electricity, 122 Step-index fiber, 408 Stokes s theorem, Stripline, 550 Stub admittance, Stub matching, Stub-matching network, 597 Superconductor, 177, Superparamagnetic, 257 Surface charge, Surface charge density, 139 Surface current density, Surface mount technology (SMT), 506 T Telegraphist s equations, 39, 40 TEM mode, 320 Terminated transmission line, Tesla, 237 T-filter, Thales of Miletus, 1, 122 Tilt angle, 348, 371 Time domain reflectometry (TDR), , 567 Time harmonic wave, 39 Time-averaged power density, Hertzian dipole, 443 small loop, 446 Time-harmonic field, 26, 312 Time-harmonic wave equations, Top-hat monopole antenna, 467 Torque, 211 Transducer power gain, 595 Transformer, Transformer emf, Transients, , 500, 517 capacitive load, 98 inductive load, Transistor oscillator, 603 Transit time, 87 Transmission, 353 Transmission coefficient, 355 Transmission line, 4, 31 coaxial cable, 32 37, complete circuit, lossless, 51, 62 microstrip, terminations, twin-lead, 32 33, 37 twisted pair, 32 Transmitting antenna, 426 Transpose matrix, Transverse electric (TE) mode, 375 Transverse electric (TE) polarization, Transverse electromagnetic (TEM) mode, 31, 306, 375, 543 Transverse magnetic (TM) mode, 375 Transverse magnetic (TM) polarization, 360, Transverse wave impedance, 381 Traveling wave equation, 42 Triboelectric series, 501 Twin-lead, 32 33,37 Twisted pair, 32 Two-port network, 557 U Uniform plane wave (UPW), , 347 Unilateral transistor, 595 Unit conversions, 624 Unit factor, 471 Unit vector, Unitary matrix, 563 Unity ratios, 9 V Vcctor magnetic potential, Vector addition, 118 Vector field, 3, 115 Vector network analyzer, Vector relations, Vectors, 115 cylindrical coordinates, 131 dot product, 150 MATLAB, 120 spherical coordinates, Via, 524, 550 Vibrational absorption, 412 Virtual work, 273 V-method, Volta, Alessandro, 1 Voltage, 166 Voltage sag,
7 656 INDEX Voltage standing wave ratio (VSWR), Voltage swell, 502 Voltaic cell, 1 Volume charge, 139, Volume charge density, 145 Volume charge MATLAB, Volume current density, W Wave attenuation, 21, 29 equation, 19, 42 fundamentals, sinusoidal, traveling, 22 23, Wave equation, 306 Wave number, 19 Wave polarization MATLAB, Wave propagation, 34, 37 39, 41 Wave reflection, 353 Wave transmission, 353 Wavefront, 321, 378 Waveguide, 4, 373 dominant (lowest order) mode, group velocity, 381 impedance, phase constant, 380 phase velocity, 380 rectangular, types, 376 wave propagation, Waveguide dispersion, 412 Waveguide field equations, TE mode, TM mode, Wavelength, 20 Weber, 237 Wilkinson power divider, Wire inductance, Wire wound resistor, Wireless communication, 5 8 antennas, Work, 167 Y Yagi-Uda antenna,
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