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Borovikov V.A. — Uniform stationary phase method
Borovikov V.A. — Uniform stationary phase method

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Название: Uniform stationary phase method

Автор: Borovikov V.A.

Язык: en

Рубрика: Математика/

Серия: Сделано в холле, Памяти Владимира Андреевича Боровикова

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1994

Количество страниц: 233

Добавлена в каталог: 20.11.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Airy function      42 87 96 100 146 154 155
Airy function, definition and main properties      161
Angular part of diffraction coefficient      131
Asymptotic contribution in one-fold integral of branch point of non-exponential factor      17
Asymptotic contribution in one-fold integral of integration domain boundary      8
Asymptotic contribution in one-fold integral of phase function stationary point      9
Asymptotic contribution in one-fold integral of pole of non-exponential factor      23
Asymptotic contribution in two-fold integral of corner point of boundary      84
Asymptotic contribution in two-fold integral of critical point on smooth boundary segment      83
Asymptotic contribution in two-fold integral of stationary point of phase function      81
Asymptotic expansion (definition)      5
Asymptotic matching method      34
Asymptotic of integrals of functions with large parameter in argument      24
Asymptotic sequence      4
Bessel, equation      118
Bessel, functions      120
Chebyshev’s polynomials      184
Clenshaw’s algorithm      185
Critical points definition in one-fold integral      7
Critical points definition in two-fold integral      79
Curvature radius of reflected wavefront      127
Cutting function      16
Cylindrical wave reflection from plane interface      135
Cylindrical wave reflection from plane interface, asymptotic of reflected wave      140
Cylindrical wave reflection from plane interface, asymptotic of refracted wave      138
Cylindrical wave reflection from plane interface, head wave      140
Cylindrical wave reflection from plane interface, reflection and refraction of plane waves      137
Diffraction by aperture, edge and spherical diffraction waves      151
Diffraction by aperture, uniform asymptotic      153
Diffraction by slit in physical optics, approximation      132
Diffraction by two wedges      155
Diffraction by wedge, asymptotic of exact solution      130
Diffraction by wedge, edge wave      130
Diffraction by wedge, integral expression for exact solution      128
Diffraction by wedge, physical optics approximation      132
Dirichlet and Neiman boundary conditions      123 125
Field near light-shadow boundary      131
Fresnel (near) and Fraunhofer (far) zones      148
Fresnel integral      30 37 76 89 93 97 131 134 154
Fresnel integral, definition and main properties      159
Fresnel integral, tables      186
Green function, for three-dimensional case      149
Green function, for two-dimensional case      120
Helmholtz equation      118
High-frequency asymptotic of scattered field in Kirchhoff approximation      125
Incomplete gamma-function      53 154 155
Incomplete gamma-function, definition and main properties      165
Influence domain for non-degenerate stationary point      116
Integral sine and cosine      75 178
Integral sine and cosine, definition and main properties      166
Integral sine and cosine, tables      197
Keller diffraction coefficient      131
Kirchhoff approximation      124
Local asymptotic      45
Parabolic cylinder function      49 143
Parabolic cylinder function, definition and main properties      161
Parabolic cylinder function, tables      188
Partition of unity      15
Physical optics approximation      124
Reflection from concave surface      143
Reflection from concave surface, non-uniform asymptotic      145
Reflection from concave surface, uniform asymptotic      146
Sommerfeld, integral      128
Sommerfeld, radiation condition      123
Symbols $\cong$, O, o      3 4
Uniform asymptotic for merging critical points in one-fold integral, close stationary points of phase function      41
Uniform asymptotic for merging critical points in one-fold integral, pole near branch point      53
Uniform asymptotic for merging critical points in one-fold integral, stationary point near branch point      48
Uniform asymptotic for merging critical points in one-fold integral, stationary point near integration domain boundary      30
Uniform asymptotic for merging critical points in one-fold integral, stationary point near pole      36
Uniform asymptotic for merging critical points in one-fold integral, stationary point tending to infinity      58
Uniform asymptotic for merging critical points in two-fold integrals, close stationary points      86
Uniform asymptotic for merging critical points in two-fold integrals, critical point of boundary near corner point      88
Uniform asymptotic for merging critical points in two-fold integrals, extremal stationary point near corner point of boundary      105
Uniform asymptotic for merging critical points in two-fold integrals, stationary point near smooth boundary      91 99
Uniform asymptotic for merging critical points in two-fold integrals, stationary saddle point near corner point of boundary      96
Uniform asymptotic for merging critical points in two-fold integrals, two close critical points on smooth part of boundary      96
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