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Baker B.B., Copson E.T. — The Mathematical Theory of Huygence' Principle
Baker B.B., Copson E.T. — The Mathematical Theory of Huygence' Principle

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Название: The Mathematical Theory of Huygence' Principle

Авторы: Baker B.B., Copson E.T.

Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: Second Edition

Год издания: 1950

Количество страниц: 155

Добавлена в каталог: 24.03.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
'Cut' Hankel functions      90
Aether, elastic-solid theory of      20 44 69
Arbitrariness of boundary values      27 38 41 71
Asymptotic behaviour of diffracted wave      95 97 122
Black half-plane, diffraction of plane-polarized light by      120 149
Blackness, definition of      98 124
Blackness, Kirchhoff's definition of      70 98 124
Blackness, Kottler's definition of      98 117
Blackness, unsatisfactory state of theory of      152
Blackness, Voigt's definition of      150
Contact transformations      4 5
Contact transformations, connexion with Huygens' geometrical construction      5
Cylindrical wave-functions      48 49 53
Cylindrical wave-functions, Volterra's general theorem on      54
Cylindrical waves, diffraction of, by black half-plane      97
Cylindrical waves, equation of      45 49
Cylindrical waves, equation of, Hadamard's solution      56
Cylindrical waves, equation of, Riesz's solution      54 62
Cylindrical waves, equation of, Volterra's solution      56 64
Cylindrical waves, equation of, Weber's solution      48
Determinacy, theorem of      40
Diffracted wave, asymptotic behaviour of      95 97 122
Diffraction formula, Fresnel's      33
Diffraction formula, Fresnel-Kirchhoff      72
Diffraction formula, Kirchhoff's      70
Diffraction formula, Stokes's      32 36
Diffraction of cylindrical waves by black half-plane      97
Diffraction of light      68
Diffraction of plane-polarized light by black half-plane      120 149
Diffraction of plane-polarized light by reflecting half-plane      142
Diffraction of spherical waves by black half-plane      92
Diffraction, by thick black screen      101
Diffraction, by thin black screen      101
Diffraction, Kirchhof's theory of      68 79
Diffraction, Kottler's theory of      98
Diffusion      47 53 65
Divergent sound waves, Sommerfeld's conditions      25 28
Eigenfunctions      28
Eigenvalues      27
Elastic-solid theory of the aether      20 44 69
Electromagnetic field, analytical expression of Huygens' principle for      105 114
Electromagnetic field, Maxwell's equations of      102
Electromagnetic theory of light      6 44 102
Electromagnetic waves, forward propagation of      3
Elementary solution, Hadamard's      46
Equation of cylindrical waves      45 49
Equation of cylindrical waves, Riesz's solution of      54 62
Equation of cylindrical waves, Volterra's solution of      56 64
Equation of wave-motions      8
Equation of wave-motions, in n dimensions, Riesz's solution of      66
Equation of wave-motions, in spherical polar coordinates      9
Equation of wave-motions, Poisson's solution of      14
Equivalent layer, Green's      23 55
Forward propagation of electromagnetic waves      3
Forward propagation of plane waves      3 9
Forward propagation of spherical waves      18
Fractional order, integrals of, Riemann-Liouville definition of      57
Fractional order, integrals of, Riesz's      58
Fresnel's diffraction formula      33
Fresnel's extension of Huygens' principle      20 22
Fresnel's integrals      95 141
Fresnel-Kirchhoff diffraction formula      72
Geometrical optics, Kirchhoff's theorem on      79
Geometrical theory of wave-propagation, Huygens'      1 19
Green's equivalent layer      23 55
Green's functions      27
Hadamard's elementary solution      48
Hadamard's solution of equation of cylindrical waves      56
Half-plane, diffraction of cylindrical waves by      97
Half-plane, diffraction of plane waves by      84 120 142
Half-plane, diffraction of spherical waves by      92
Hankel functions      52 87 90
Helmholtz's formula      24 26 28 79
Helmholtz's formula, as an analytical expression of Huygens' principle      31 68
Helmholtz's formula, physical meaning of      28
Helmholtz's formula, restrictions on the use of      26
Helmholtz's formula, Sommerfeld's conditions for      25
Helmholtz's formula, Weber's analogue of      51
Huygens' geometrical construction as a contact transformation      4
Huygens' geometrical theory of wave-propagation      1 19
Huygens' principle, analytical expression of, by Helmholtz's formula      31
Huygens' principle, analytical expression of, for electromagnetic field      105 114
Huygens' principle, Fresnel's extension of      20
Huygens' principle, Stokes's approximate formulation of      32
Huygens' principle, verification of, for expanding spherical waves      15
Integrals of fractional order, Riemann-Liouville definition of      57
Integrals of fractional order, Riesz's      58
Integrals, Fresnel's      95 141
Interference      20 21 92 147
Kirchhoff's definition of blackness      70 98 124
Kirchhoff's diffraction formula      70
Kirchhoff's formula      36 38
Kirchhoff's formula, connexion with Larmor-Tedone formulae      109
Kirchhoff's formula, failure of      109
Kirchhoff's formula, for sources inside a closed surface      38
Kirchhoff's formula, for sources outside a closed surface      37
Kirchhoff's formula, physical interpretation of      42
Kirchhoff's formula, Volterra's analogue of      52
Kirchhoff's theorem on geometrical optics      79
Kirchhoff's theory of diffraction      68 79
Kottler's definition of blackness      98 117
Kottler's formulae      117
Kottler's formulation of Huygens' principle for electromagnetic field      114
Kottler's theory of diffraction      98
Larmor-Tedone formulae      105
Larmor-Tedone formulae, analytical proof of      106
Larmor-Tedone formulae, complex form of      106
Larmor-Tedone formulae, connexion with Kirchhoff's formula      109
Larmor-Tedone formulae, failure of      109
Larmor-Tedone formulae, modification of      109
Light, electromagnetic theory of      6 44 102
Light, rectilinear propagation of      3 20
Luminosity of edge of screen      92 94 123 150
Maggi's transformation      75 80 84 93
Maxwell's equations of electromagnetic field      102
Maxwell's equations of electromagnetic field, many-valued solutions of      124
Maxwell's equations of electromagnetic field, two-dimensional solutions of      130
Mean value, notation for      13
Method of descent      46
Phase of secondary wave      22 33
Physical interpretation of Kirchhoff's formula      42
Plane of diffraction      147
Plane of polarization, rotation of      149
Plane waves, forward propagation of      3 9 19
Plane-polarized light, diffraction of, by black half-plane      120 149
Plane-polarized light, diffraction of, by reflecting half-plane      142
Point-source of light      68
Poisson's formula      14 15 18
Rectilinear propagation of light      3 20 79
Reflecting half-plane diffraction of plane-polarized light by      142
Reflecting screen      124
Retarded values, definition of      32
Riemann surfaces, use of, in diffraction problems      129
Riemann surfaces, use of, in electrostatic problems      127
Riemann-Green theory      56
Riemann-Liouville definition of integrals of fractional order      57
Riesz's integrals of fractional order      58
Riesz's solution of equation of cylindrical waves      54 62
Riesz's solution of equation of wave-motions in n dimensions      66
Rotation of plane of polarization      149
Saltus problems      72 98 152
Secondary wave, phase of      22 33
Sommerfeld's conditions for divergent sound-waves      25 28
Sound waves of small amplitude      6
Sound waves, isotropic spherical      9
Source simple      11
Source, double      12
Spherical waves, diffraction of, by black half-plane      92
Spherical waves, forward propagation of      18
Spherical waves, velocity potential of      9
Spherical waves, verification of Huygens' principle for      15
Stokes's approximate formulation of Huygens' principle      32
Stokes's diffraction formula      32 36
Velocity of sound      8 9
Velocity potential      6 8
Velocity potential, of double source      12
Velocity potential, of simple source      11
Velocity potential, of spherical waves      9
Voigt's 'blackest' screen      151
Voigt's definition of blackness      150
Volterra's analogue of Kirchhoff's formula      52
Volterra's general theorem on cylindrical wave-functions      54
Volterra's solution of equation of cylindrical waves      56 64
Wave-equation, in spherical polar coordinates      9
Wave-equation, many-valued solutions of      132 138
Wave-equation, n-dimensional, Riesz's solution of      66
Wave-equation, one-dimensional      8
Wave-equation, two-dimensional      49
Wave-functions, cylindrical      48 49 53 62
Wave-functions, definition of      8
Wave-motions, difference between, in two and three dimensions      46
Wave-motions, equation of      8
Wave-propagation, Huygens' geometrical theory of      1 19
Weber's analogue of Helmholtz's theorem      51
Weber's solution of equation of cylindrical waves      48
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