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ON KIRCHOFF'S SOLUTIONS OF THE ELECTROMAGNETIC DIFFRACTION PROBLEM

Journal Article · · Acta Phys. Polon.
OSTI ID:4037522
In Kirchhoff's scalar and electromagnetic theory of diffraction, a spliting of Kirchhoff's wave motion into a geometric-optical wave and a boundary diffraction one is possible according to Young's interpretation of diffraction phenomena. The Kirchhoff-Young solutions in the electromagnetic theory in the case of an incident wave radiated by an electric dipole were given by Kottler and subsequently, in a different way, by Laporte and Meixner. It is pointed out that the modified Lorentz theorem and, as its implication, the reciprocity theorems, lead to the electromagnetic Huygens principle expressed in terms of the Lorentz- Larmor formulas, which are usually derived from the unmodified theorem. It is proved that the two LaporteMeixner solutions conceived as quite differently are equivalent not only to one another but also to Kottler's solutions. The electromagnetic Kirchhoff solutions may be interpreted as the exact solutions of the saltus problem; it is impossible, however, to give such an interpretation to a certain class of the Laporte-Meixner solutions. (auth)
Research Organization:
Inst. of Physics, Warsaw
NSA Number:
NSA-18-018462
OSTI ID:
4037522
Journal Information:
Acta Phys. Polon., Journal Name: Acta Phys. Polon. Vol. Vol: 25
Country of Publication:
Country unknown/Code not available
Language:
English