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Nonparaxial interference and diffraction under 3D spatial coherence

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Abstract

The nonparaxial interference and diffraction by a planar array of emitters have been recently described in terms of the light energy confinement in Lorentzian wells, which are spatially structured by the geometric potential, activated in turn by the two-point correlation prepared at the array plane. Nevertheless, the use of nonplanar arrays of light emitters is of increasing interest in optical technology. Therefore, we extend the confinement model to include spatially structured Lorentzian wells by geometric potentials associated with nonplanar distributions of points. Such geometric potentials are activated by two-point correlations with 3D supports prepared at the nonplanar array. The theoretical analysis is supported and illustrated by numerical simulations.

© 2022 Optica Publishing Group

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Supplementary Material (6)

NameDescription
Visualization 1       Evolution of the predicted interference pattern for two pinholes as a function of the axial separation between them.
Visualization 2       Evolution of the predicted interference pattern for two pinholes axially separated as a function of the transverse separation between them.
Visualization 3       Evolution of the predicted interference patterns produced by a regular array of 5 pinholes under full spatial coherence, in axial-only distribution that changes to a transverse-only distribution.
Visualization 4       Evolution of the predicted interference pattern produce by a Mach-Zenhder interferometer with identical rectangular slits centered in the arm axis.
Visualization 5       Evolution of the predicted interference pattern produce by a Mach-Zenhder interferometer with different sized slits, one of them rectangular and the other one squared.
Visualization 6       Evolution of the predicted interference pattern produce by a Mach-Zenhder interferometer with identical sized slits laterally shifted the same distance from the respective axis.

Data availability

No data were generated or analyzed in the presented research.

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Figures (11)

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Equations (18)

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