30 September 2003 Diffraction formulae using momentum eigenstates
Author Affiliations +
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.
© (2003) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
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


Dynamics of femtosecond laser pulses in air and in vacuum
Proceedings of SPIE (March 05 2007)
The physical origin of the uncertainty theorem
Proceedings of SPIE (September 28 2011)
Modern scalar diffraction theory
Proceedings of SPIE (September 08 2011)

Back to Top