Holography and Mathematics
DOI:
https://doi.org/10.36790/epistemus.v18i37.367Keywords:
Hologram, laser light, wave equation, Kirchhoff solution, stationary phaseAbstract
The general objective of this paper is to analyze mathematically the physical process of reproduction of a transmission hologram, in order to contrast directly observable results with approximations obtained theoretically. On one hand, when observing a hologram, a region is located on it where a three-dimensional object is faithfully reproduced using a special photographic technique called holography. On the other hand, by applying a simple mathematical model to describe this fact, through the well-known classical wave equation —with a solution given in Kirchhoff form, which is analyzed using an asymptotic method of complex analysis— an approximate result is obtained that allows for a congruent conclusion about this particular process.
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