Derivation of Electron Scattering by Helium Classical Scattering of Electromagnetic Radiation
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چکیده
CLASSICAL SCATTERING OF ELECTROMAGNETIC RADIATION Light is an electromagnetic disturbance which is propagated by vector wave equations which are readily derived from Maxwell's equations. The Helmholtz wave equation results from Maxwell's equations. The Helmholtz equation is linear; thus, superposition of solutions is allowed. Huygens' principle is that a point source of light will give rise to a spherical wave emanating equally in all directions. Superposition of this particular solution of the Helmholtz equation permits the construction of a general solution. An arbitrary wave shape may be considered as a collection of point sources whose strength is given by the amplitude of the wave at that point. The field, at any point in space, is simply a sum of spherical waves. Applying Huygens' principle to a disturbance across a plane aperture gives the amplitude of the far field as the Fourier Transform of the aperture distribution, i.e., apart from constant factors,
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