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| Авторизация |
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| Поиск по указателям |
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| Borovikov V.A. — Uniform stationary phase method |
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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  , 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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