Analysis and implementation of volume reflection gratings in photorefractive lithium niobate for edge enhancement

Austin M. Scott; Partha P. Banerjee

doi:10.1364/AO.512442

Applied Optics
Vol. 63,
Issue 10,
pp. 2415-2428
(2024)
•https://doi.org/10.1364/AO.512442

Analysis and implementation of volume reflection gratings in photorefractive lithium niobate for edge enhancement

Austin M. Scott and Partha P. Banerjee

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Austin M. Scott and Partha P. Banerjee, "Analysis and implementation of volume reflection gratings in photorefractive lithium niobate for edge enhancement," Appl. Opt. 63, 2415-2428 (2024)

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- Imaging Systems, Image Processing, and Displays
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About this Article
History
- Original Manuscript: November 15, 2023
- Revised Manuscript: February 20, 2024
- Manuscript Accepted: February 21, 2024
- Published: March 21, 2024
Virtual Issues
Applied Optics Joint Feature Issue in Applied Optics and Journal of the Optical Society of America A: Digital Holography and 3D Imaging 2023 (2024)

Abstract

Diffraction from volume reflection gratings written in bulk photorefractive lithium niobate is modeled for the case of longitudinally varying index modulation depths. Numerical solutions to the Helmholtz equation are found in the spatial frequency domain, leading to transfer functions for the volume reflection grating. These transfer functions are then used to show the spatial frequency filtering effect of the volume reflection grating on input light fields containing 2D spatial information. It is shown, first through simulations and then by experiment, that the 0th order transmitted beam undergoes a 2D edge enhancement.

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Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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$η_{R}$	$_{norm.}^{min .} κ (z)$	${\tilde{R}}_{z} (z = 0)$	$\tilde{S} (z = d)$	$r \tilde{R} (z = d)$	$η_{c a l c}$
0.80	0.70	−0.020185	0.09787	0.09787	0.768
0.50	0.70	−0.028972	0.23010	0.23010	0.384
0.20	0.70	−0.021757	0.31649	0.31649	0.138

$η_{R}$	$_{norm.}^{min .} κ (z)$	${\tilde{R}}_{z} (z = 0)$	$\tilde{S} (z = d)$	$r \tilde{R} (z = d)$	$η_{c a l c}$
0.80	0.55	−0.026485	0.12842	0.12842	0.684
0.50	0.80	−0.027484	0.21828	0.21828	0.419
0.20	0.90	−0.020965	0.30497	0.30493	0.168

$η_{R}$	$_{norm.}^{min .} κ (z)$	${\tilde{R}}_{z} (z = 0)$	$\tilde{S} (z = d)$	$r \tilde{R} (z = d)$	$η_{c a l c}$
0.80	0.70	−0.020185	0.09787	0.09787	0.768
0.50	0.70	−0.028972	0.23010	0.23010	0.384
0.20	0.70	−0.021757	0.31649	0.31649	0.138

$η_{R}$	$_{norm.}^{min .} κ (z)$	${\tilde{R}}_{z} (z = 0)$	$\tilde{S} (z = d)$	$r \tilde{R} (z = d)$	$η_{c a l c}$
0.80	0.55	−0.026485	0.12842	0.12842	0.684
0.50	0.80	−0.027484	0.21828	0.21828	0.419
0.20	0.90	−0.020965	0.30497	0.30493	0.168

Abstract

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Applied Optics