30 September 2003 Diffraction formulae using momentum eigenstates
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Proceedings Volume 5227, Advanced Topics in Optoelectronics, Microelectronics, and Nanotechnologies; (2003); doi: 10.1117/12.519634
Event: 2003 Chapter books, 2003, Bellingham, WA, United States
Abstract
Diffraction mathematical theory of light can be derived from Quantum Mechanics and Relativity. Using the duality between position and momentum variables, we show that the momentum distribution of light coincides with the well-known angular spectrum distribution. The momentum distribution links quantum theory and relativity to classical diffraction theory. We also show that the Huygens Principle and the momentum distribution are conjugate expressions at the diffraction aperture. These considerations lead to the geometrical theory of diffraction.
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Henri H. Arsenault, Pascuala Garcia-Martinez, "Diffraction formulae using momentum eigenstates", Proc. SPIE 5227, Advanced Topics in Optoelectronics, Microelectronics, and Nanotechnologies, (30 September 2003); doi: 10.1117/12.519634; https://doi.org/10.1117/12.519634
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KEYWORDS
Diffraction

Fourier transforms

Quantum mechanics

Relativity

Quantum physics

Convolution

Photons

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