Mittra R., Lee S.W. — Analytical Techniques in the Theory of Guided Waves :: Электронная библиотека попечительского совета мехмата МГУ

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Mittra R., Lee S.W. — Analytical Techniques in the Theory of Guided Waves

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Название: Analytical Techniques in the Theory of Guided Waves

Авторы: Mittra R., Lee S.W.

Язык:

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1971

Количество страниц: 302

Добавлена в каталог: 30.06.2009

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Предметный указатель

Active element pattern      60
Active element pattern and cophasal array      60—61 193—194
Analytic at a point      77
Analytic function      77n
Analytical continuation      83
Anisotropic medium      3 70—72
Aperiodic array of waveguides      222—223
Aperiodic excitation in array      54—61 218—219
Approximate method in Wiener — Hopf technique (longitudinal modification)      227—228
Approximate method in Wiener — Hopf technique (longitudinal modification) for diffraction by a finite waveguide      263—273
Approximate method in Wiener — Hopf technique (longitudinal modification) for diffraction by a strip      281—283
Approximate method in Wiener — Hopf technique (longitudinal modification) for microwave transmission line      283—285
Approximate method in Wiener — Hopf technique (longitudinal modification) for slit-coupled waveguide      252—253
Approximate method in Wiener — Hopf technique (longitudinal modification), formulation      253—255 263—265
Approximate method in Wiener — Hopf technique (longitudinal modification), Jones method of solution      255—259 265—273
Approximate method in Wiener — Hopf technique (longitudinal modification), modified method of solution      259—263
Approximate method in Wiener — Hopf technique (transverse modification in closed region)      226—227
Approximate method in Wiener — Hopf technique (transverse modification in closed region) for bifurcated waveguide with dielectric loading      242—252
Approximate method in Wiener — Hopf technique (transverse modification in closed region) for other wave problems      279—280
Approximate method in Wiener — Hopf technique (transverse modification in closed region) for semi-infinite solid antenna      229—242
Approximate method in Wiener — Hopf technique (transverse modification in closed region) for waveguide step discontinuity      250 277—278
Approximate method in Wiener — Hopf technique (transverse modification in closed region), integral-equation formulation      242—247
Approximate method in Wiener — Hopf technique (transverse modification in closed region), Jones method of formulation      232—235 242
Approximate method in Wiener — Hopf technique (transverse modification in closed region), Jones method of solution      278—280
Approximate method in Wiener — Hopf technique (transverse modification in closed region), method of solution      237—242 249—252
Approximate method in Wiener — Hopf technique (transverse modification in open region)      226—227
Approximate method in Wiener — Hopf technique (transverse modification in open region) for flanged waveguide      273—276 280—281
Array of rectangular waveguides, arbitrary plane of scan      215—216
Array of rectangular waveguides, H-plane scan      63
Array of staggered parallel plates      67—68 221—222
Array of waveguides (incident aperiodic TE wave)      218—219
Array of waveguides (incident aperiodic TEM wave)      54—61
Array of waveguides (incident aperiodic TEM wave), active element pattern      60
Array of waveguides (incident aperiodic TEM wave), coupling coefficient      57—59
Array of waveguides (incident cophasal TE wave) with dielectric loading      217—219 224
Array of waveguides (incident cophasal TE wave) with thick wall      214—215 224
Array of waveguides (incident cophasal TE wave), covered by dielectric sheet      161—168
Array of waveguides (incident cophasal TE wave), solution by residue-calculus method      62—63
Array of waveguides (incident cophasal TE wave), solution by Wiener — Hopf technique      99—104
Array of waveguides (incident cophasal TEM wave), aperiodic shorting      222—223
Array of waveguides (incident cophasal TEM wave), solution by direct-inversion method      62
Array of waveguides (incident cophasal TEM wave), solution by residue-calculus method      50—54
Assymmetrical and symmetrical excitations      137 140 213 225 282
Asymptotic by saddle-point method      23—29
Asymptotic expansion for factorization of a function      130—134
Asymptotic symbol O and o      9n
Asymptotic, some formulas      11—14
Bessel function      18 69
Bessel function, modified      124 230 233 236
Bifurcated waveguide (incident TE wave)      30—50
Bifurcated waveguide (incident TE wave) with finite septum      161 228 253
Bifurcated waveguide (incident TE wave) with impedance boundaries      63—64
Bifurcated waveguide (incident TE wave), discussion of solution      42—45
Bifurcated waveguide (incident TE wave), edge condition      31 34—35 39—40 48
Bifurcated waveguide (incident TE wave), filled with anisotropic plasma      71—72
Bifurcated waveguide (incident TE wave), loaded with dielectric      176 209—212 242—252
Bifurcated waveguide (incident TE wave), solution by direct-inversion method      35—45
Bifurcated waveguide (incident TE wave), solution by residue calculus method      45—50
Bifurcated waveguide (incident TE wave), solution by Wiener — Hopf technique      84—99
Bifurcated waveguide (incident TEM wave) with dielectric loading      177—178
Biorthogonality of modes in anisotropic waveguide      72
Birfurcated waveguide (incident TM wave)      170—171
Birfurcated waveguide (incident TM wave), loaded with a dielectric      168—180
Bottom sheet of $\gamma$       7 21
Boundary condition      3
Branch cut of $\gamma$       7 21
Branch point of $\gamma$       7 21
Characteristic aperture function      55
Closed-region and related open-region problems      134—137
Complex $\alpha$ -plane      21
Complex $\alpha$ -plane, branch cut for $\gamma$       7 20—23
Complex $\alpha$ -plane, Fourier transform in      76—79
Conservation of power in bifurcated waveguide      45
Constitutive relation      2
Constitutive relation for anisotropic cold plasma      70
Convolution theorem      75 80 88 97
Cophasal excitation      50 162 215
Corrugated surface      64—65 161
Corrugated surface, periodically modulated      180—196
Cosine transformation      24—25 142
Coupled parallel-plate waveguides      200
Coupling coefficient in an array      57
Cramer's rule      36 164
Cylindrical antenna of finite length      276—277
Cylindrical antenna of infinite length      229—232
Cylindrical antenna, semi-infinite hollow tubular      235—236 241—242
Cylindrical antenna, semi-infinite solid      229—242
Decomposition of a function for $\gamma$       7 109—112
Decomposition of a function, definition      83 104
Decomposition of a function, general formula      107—108
Delta function      60 229
Determinant expansion method      161—168
Determinant, double alternant      36
Determinant, expansion of a special      165
Dielectric sheet, array of waveguides covered by      161—168
Dielectric-loaded array of waveguides      161 217—219 224—225 227
Dielectric-loaded bifurcated waveguide      161 168—180 207—212 242—252
Dielectric-loaded open-ended waveguide      216—217
Diffraction field at an edge      146
Direct-inversion method      35—45
Direct-inversion method in bifurcated waveguide (TE)      35—45
Direct-inversion method in bifurcated waveguide (TE) with impedance boundaries      63—64
Domain      77
Double-valued function of $\alpha$ ( $\gamma$ as)      20—23
Double-valued function of $\alpha$ ( $\gamma$ as), bottom sheet      21
Double-valued function of $\alpha$ ( $\gamma$ as), branch cut      21
Double-valued function of $\alpha$ ( $\gamma$ as), branch point      21
Double-valued function of $\alpha$ ( $\gamma$ as), improper sheet      22
Double-valued function of $\alpha$ ( $\gamma$ as), proper sheet      22
Double-valued function of $\alpha$ ( $\gamma$ as), top sheet      21
Doubly-infinite series      41
Doubly-infinite sets of equations      33
Dyadics      3 70
Echelette grating      222
Edge condition      4—11 83 86 93 95 101 145 169 176 181 218 219 235 237 251
Edge condition and the modal coefficients      34—35 169—170
Edge condition for frequently encountered configurations      10—11
Edge condition in determination of shifted zeros      173—174 219
Edge condition, asymptotic formula in applying      11—14
Entire function      77
Error integral      28 144 270
Euler constant      12 14
Euler constant, logarithmic      231
Euler — Maclaurin sum formula      12
Excitation of a dielectric slab      156
Factorization of ( $sinh \gamma\beta$ )/( $\gamma\beta$ exp $\gamma\beta$ ) by alternate formula      122—124
Factorization of ( $sinh \gamma\beta$ )/( $\gamma\beta$ exp $\gamma\beta$ ) by standard formula      112—113
Factorization of ( $sinh \gamma\beta$ )/( $\gamma\beta$ exp $\gamma\beta$ ) for large kb      130—134
Factorization of a function      82 104—113
Factorization of a function for $(cos u - cosh \gamma\alpha)$       102—103
Factorization of a function for $(sinh \gamma\alpha)/\gamma\alpha$       91—94
Factorization of a function for ( $cosh \gamma\beta$ ) exp ( $- \gamma\beta$ )      154
Factorization of a function for ( $sinh \gamma\beta$ )/( $\gamma\beta$ exp $\gamma\beta$ )      112—113 122—124
Factorization of a function for exp $(—\gamma\beta)$       112—113
Factorization of a function for meromorphic function      91—94 102—103
Factorization of a function, alternate formula      113—119
Factorization of a function, general formula      107—108
Finite waveguide      264—276
Flanged waveguide      227 273—276
Floquet space harmonics      19
Fourier transform      59 74—79
Fourier transform in complex plane      76—79
Fourier transform of semi-infinite range      75
Fourier transform, convolution theorem      75
Fourier transform, inverse theorem      75
Fourier transform, regularity of      78—79
Fresnel integral      144
Fresnel integral, approximation for large argument      146
Fresnel integral, approximation for small argument      145
Function defined by integral      77—78

Gamma function      11
Gamma function, incomplete      12
Gamma function, reflection formula      14
Gamma function, Stirling formula      14
Generalized scattering matrix      209
Generalized scattering-matrix technique      207—217
Generalized scattering-matrix technique for array of rectangular waveguides      215—216
Generalized scattering-matrix technique for array of thick-walled array      214—215
Generalized scattering-matrix technique for cylindrical antenna      276
Generalized scattering-matrix technique for dielectric-loaded bifurcated waveguide      209—212
Generalized scattering-matrix technique for grating of thin strips      224—225
Generalized scattering-matrix technique for open-ended waveguide with dielectric loading      216—217
Generalized scattering-matrix technique for trifurcated waveguide      212—213
Geometrical optics field      146
Geometrical theory of diffraction      145
Grating of thin strips      224—225
Grating, echelette      22
Green's function      80 226
Green's function in homogenously loaded waveguide      244—245
Green's function in parallel-plate waveguide      86 89—90 153 243
Green's identity      68 86 244
Half-plane, diffraction by (TE)      157—158
Half-plane, diffraction by (TM)      141—147
Half-plane, thick      216 227
Holomorphic function      77n
Impedance boundary condition in bifurcated waveguide      63—64
Impedance in parallel-plate waveguide      66
Impedance matching in phased array      162
Improper integral      74
Improper sheet of $\gamma$       23
Incomplete gamma function      12
Infinite product, asymptotic evaluation      130—134
Infinite product, asymptotic formula      13—14
Infinite product, cancellation of exponential factors in      45
Infinite product, truncated error      42—43
Infinite product, uniform convergence      38 61
Infinite system of linear equations for array of waveguides      52
Infinite system of linear equations for array of waveguides covered by dielectric sheet      164
Infinite system of linear equations for bifurcated waveguide      33 34
Infinite system of linear equations for dielectric-loaded bifurcated waveguide      169
Infinite system of linear equations for modified Wiener — Hopf geometry      161
Infinite system of linear equations for Weiner — Hopf geometry      161
Integral function      77
Integral-equation formulation of Wiener — Hopf equation      80—82
Integration in Riemann sense      74
Intrinsic impedance      231
Introduction of loss in deforming integration path      191—192
Introduction of loss in Wiener — Hopf technique      88
Inverse sine transform      24
Inversion theorem in Fourier transform      75
Isotropic medium      2
Jones method of formulation of a modified Wiener — Hopf equation      232—235 242
Jones method of formulation of Wiener — Hopf equation      97—99
Junction of two waveguides      64—66
Kronecker delta      34
Kummer function      270
Laplace transform      74n
Liouville's theorem      84 95 103
Liouville's theorem, extension of      84n
Logarithm function, principal branch of      24
Loss in medium      88
Magnetic wall      127 138 225
Main beam of array      50 163
Maxwell's equations      1—2
Meromorphic function      45n 85
Meromorphic function, factorization of      91—94
Microstrip transmission line      283—285
Modal representation for field in open region      20—29
Modal representation for field in open region and far field pattern      28
Modal representation for field in open region, asymptotic evaluation      23—29
Mode in circular waveguide      17
Mode in general cylindrical waveguide      15
Mode in parallel-plate waveguide      17
Mode in rectangular waveguide      16
Mode matching in a triangular region      68
Mode, orthogonal property      15
Mode, transverse electric (TE)      15
Mode, transverse magnetic (TM)      15
Mode-matching technique and Wiener — Hopf technique      150—153
Mode-matching technique for open-region problem      196—207
Mode-matching technique in Fourier transform domain      180—196
Mode-matching technique, formulation in      30—35
Modified residue-calculus method      168—176
Modified residue-calculus method and modified Wiener — Hopf technique      239 263
Modified residue-calculus method for dielectric-loaded array of waveguides      217—219
Modified residue-calculus method for dielectric-loaded bifurcated waveguide      168—176 219—221
Modified residue-calculus method for echelette grating      219—222
Modified residue-calculus method for microstrip transmission line      284—285
Modified residue-calculus method for waveguide step discontinuity      176—178
Modified residue-calculus method, solution for shifted zeros in      173—180 219 221
Neumann series      209
Neumann series, convergence of      287—289
Open resonator      155 222
Open-ended waveguide with dielectric loading      216—217
Open-ended waveguide, diffraction by (TM)      137—150
Open-ended waveguide, radiation from (asymmetrical TM)      154—155
Open-ended waveguide, radiation from (symmetrical TM)      126—134
Open-ended waveguide, radiation from (TE)      158—159
Open-ended waveguide, solution by generalized scattering-matrix technique      216—217
Open-ended waveguide, solution by mode-matching technique      196—207
Open-ended waveguide, solution by Wiener — Hopf technique      126—134
Open-ended waveguide, solution for large dimension      130—134
Open-ended waveguide, symmetrical and asymmetrical components in      140—141
Open-region and related closed-region problems      134—137
Optical resonator      155
periodic structure      19
Periodic structure, Floquet mode of      19
Periodic structure, pseudo      180
Periodic structure, space harmonics of      19
Phased array      see "Array of waveguides"
Phi function      132
Plane-wave spectrum      20 56 183 198
Plane-wave spectrum in cylindrical coordinate      230
Plane-wave spectrum, invisible range of      20
Plane-wave spectrum, visible range of      20
Plasma, bifurcated waveguide filled with      71—72
Plasma, cold anisotropic      70
Plasma, mode in parallel-plate waveguide filled with      71
Poisson equation      283
Proper sheet of $\gamma$       22
Radiation condition      4 17
Radiation condition in determining the branch of $\gamma$       20—23
Rational function      83
Regularity in complex plane      77
Regularity in complex plane for Fourier transform      78—79
Regularity in complex plane for functions defined by integral      77—78
Relative convergence      38—39 41
Relative dielectric constant      3
Relative permeability      3
Residue      28 46 96
Residue-calculus method      45—50
Residue-calculus method for array of waveguides (TE)      62—63
Residue-calculus method for array of waveguides (TEM)      50—54
Residue-calculus method for bifurcated waveguide (TE)      45—50
Residue-calculus method for bifurcated waveguide filled with anisotropic plasma      71—72
Residue-calculus method for corrugated surface      64—65
Residue-calculus method for coupled waveguides      200—201
Residue-calculus method for discontinuity in cylindrical waveguide      68—70
Residue-calculus method for open-region problem      196—207
Residue-calculus method for periodically modulated corrugated surface      187
Residue-calculus method for staggered parallel-plates      67—68
Residue-calculus method, modified      168—180
Riemann integral      74
Riemann zeta function      132
Saddle point      26
Saddle point, general, property      27n
Saddle-point method of integration      23—29 129 142—144 148 193
Sawtooth grating      221
Scan angle of an array      50
Scattering junction      209

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