Description
Book SynopsisA monograph that deals with the mathematical theory of Huygens' principle in optics and its application to the theory of diffraction. It concerns with the general theory of the solution of the partial differential equations governing the propagation of light.
Table of ContentsThe 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.
