Diffraction Phenomena on Extended Asymmetric Slit with Absolutely Absorbing Inner Faces
Fraunhofer diffraction patterns (spectra) of extended (in depth) asymmetric slit holes with absolutely absorbing inner faces and with different input ( ) and output ( ) apertures are calculated in the far field based on the model of equivalent diaphragms. The behavior of the spectrum of an extended...
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Veröffentlicht in: | Optoelectronics, instrumentation, and data processing instrumentation, and data processing, 2022-02, Vol.58 (1), p.43-54 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | Fraunhofer diffraction patterns (spectra) of extended (in depth) asymmetric slit holes with absolutely absorbing inner faces and with different input (
) and output (
) apertures are calculated in the far field based on the model of equivalent diaphragms. The behavior of the spectrum of an extended object is studied analytically in the case of aperture differences
that are noticeably smaller than the size of the Fresnel zone
(
is the light wavelength and
is the hole depth). It is shown that in the range of angles
the observed diffraction pattern of an extended object is equivalent to the diffraction of light on a flat slit (
) with an effective width
. Based on a constructive approximation of the integral Fresnel function, the features of light diffraction on volumetric holes with noticeably different apertures are studied analytically:
. Calculations show that in the cases of expanding (
) and narrowing (
) apertures, the behavior of the minima of the observed diffraction patterns in the ranges of angles
differs little from the equidistant behavior for a flat slit (
) of width
and
, respectfully. The results can be used in the development of optoelectronic systems for dimensional inspection of perforated plates. |
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ISSN: | 8756-6990 1934-7944 |
DOI: | 10.3103/S8756699022010022 |