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Huygens' principle |
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Copson, The Mathematical Theory of Huygens' Principle, Chelsea Publ. This is a significant departure from the classical formulation of Huygens' principle, where a reverse flow of energy on the positive side of the aperture is precluded by the explicit assumption that light does not travel backwards. The Kirchhoff and Rayleigh-Sommerfeld integral equations (1) and (2) are alternative forms of the theorem of Helmholtz (5), which expresses Huygens' principle in terms of a scalar wave function U and its normal derivatives without assuming specific attributes of this function, except that it is continuous and twice differentiable with continuous derivatives and obeys the homogeneous wave equation, |
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