Mathematical Theory of Huygens' Principle

Inbunden, Engelska, 2003

999 kr

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From the Preface: 'The present monograph deals with the mathematical theory of Huygens' principle in optics and its application to the theory of diffraction. No attempt has been made to give a complete account of the various methods of solving special diffraction problems. [The authors] are concerned only with the general theory of the solution of the partial differential equations governing the propagation of light and [they] discuss some of the simpler diffraction problems merely as illustrative examples'.

Produktinformation

Utgivningsdatum2003-07-30
Mått157 x 233 x 17 mm
Vikt409 g
FormatInbunden
SpråkEngelska
SerieChelsea Publications
FörlagAmerican Mathematical Society
ISBN9780821834787

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Matematik inom Naturvetenskap och teknik

The Analytical Representation of Huygens' Principle:; 1 The principle of Huygens; 2 Huygens' construction as a contact-transformation; 3 The propagation of sound waves in air; 4 Huygens' principle for monochromatic phenomena; 5; Wave-motions in three dimensions; 6 Wave-motions in two dimensions; 7 Marcel Riesz's solution of the equation of cylindrical waves Huygens' Principle and the Theory of Diffraction:; 1 Kirchhoff's theory of diffraction; 2 Maggi's transformation; 3 Diffraction by a black half-plane; 4 Kottler's theory of diffraction by a black screen Huygens' Principle for Electromagnetic Waves:; 1 Huygens' principle and Maxwell's equations; 2 The failure of the Kirchhoff and the Larmor-Tedone formulae; 3 Kottler's formulation of Huygens' principle for electromagnetic waves; 4 The diffraction of electromagnetic waves by a black screen Sommerfeld's Theory of Diffraction:; 1 Sommerfeld's many-valued wave-functions; 2 The diffraction of plane-polarized light by a reflecting half-plane; 3 Diffraction of plane-polarized light by a black half-plane Diffraction by a Plane Screen:; 1 Introduction; 2 Diffraction of sound by a plane screen; 3 Diffraction of electromagnetic waves; 4 Sommerfeld's diffraction problem; 5 Schwarzschild's diffraction problem; 6 Approximate solutions Index.