Sunday, 26 October 2014

electromagnetic radiation - How can the Huygens-Fresnel principle be derived from the Maxwell equations?


The Huygens-Fresnel principle states that every point to which a luminous disturbance reaches becomes a source of a spherical wave. I have been trying to understand this considering a infinite screen with a microscopic hole $dS$ on which a plane wave is incident, but I see no obvious way to describe the resulting propagating wave.


How can it be derived from the Maxwell equations?





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