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