Four-channel volume holographic recording with linear polarization holography

Jinliang Zang; Fenflan Fan; Ying Liu; Ran Wei; Xiaodi Tan

doi:10.1364/OL.44.004107

Optics Letters
Vol. 44,
Issue 17,
pp. 4107-4110
(2019)
•https://doi.org/10.1364/OL.44.004107

Four-channel volume holographic recording with linear polarization holography

Jinliang Zang, Fenflan Fan, Ying Liu, Ran Wei, and Xiaodi Tan

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Jinliang Zang, Fenflan Fan, Ying Liu, Ran Wei, and Xiaodi Tan, "Four-channel volume holographic recording with linear polarization holography," Opt. Lett. 44, 4107-4110 (2019)

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Abstract

We report on four-channel volume holographic recording with linear polarization-sensitive holography. This technique is based on the null reconstruction effect (NRE) of linear polarization-sensitive holography, which means the diffraction efficiency varies with polarization states of the reading wave. The dependency of holographic reconstruction on the polarization state of the reading wave is investigated based on the vector holography theory. The NRE of a polarization-sensitive hologram written by orthogonal and nonorthogonal linear waves is achieved at a cross-angle of $π / 2$ inside the recording media. Based on the NRE of linear polarization-sensitive holography, a four-channel volume holographic recording is experimentally demonstrated with negligible cross talk noise. The presented four-channel holographic recording scheme is expected to improve holographic storage density by an additional channel.

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Recording		Reading	Reconstruction
$U_{S}$	$U_{R}$	$F$	$U_{F}$	$U_{F} (π / 2)$
$U_{S} \hat{s}$	$U_{R} {\hat{p}}_{R}$	$U_{R} \hat{s}$	$β U_{S} \cdot \cos (θ_{S} - θ_{R}) {\hat{p}}_{S}$	0
$U_{S} \hat{s}$	$U_{R} {\hat{p}}_{R}$	$U_{R} {\hat{p}}_{R}$	$β U_{S} \hat{s}$	$β U_{S} \hat{s}$
$U_{S} {\hat{p}}_{S}$	$U_{R} \hat{s}$	$U_{R} \hat{s}$	$β U_{S} {\hat{p}}_{S}$	$β U_{S} {\hat{p}}_{S}$
$U_{S} {\hat{p}}_{S}$	$U_{R} \hat{s}$	$U_{R} {\hat{p}}_{R}$	$β U_{S} \cdot \cos (θ_{S} - θ_{R}) \hat{s}$	0
$U_{S} \hat{s}$	$U_{R} \hat{s}$	$U_{R} \hat{s}$	$(α + 2 β) U_{S} \hat{s}$	$(α + 2 β) U_{S} \hat{s}$
$U_{S} \hat{s}$	$U_{R} \hat{s}$	$U_{R} {\hat{p}}_{R}$	$α U_{S} \cdot \cos (θ_{S} - θ_{R}) {\hat{p}}_{S}$	0
$U_{S} {\hat{p}}_{S}$	$U_{R} {\hat{p}}_{R}$	$U_{R} \hat{s}$	$α U_{S} \cdot \cos (θ_{S} - θ_{R}) \hat{s}$	0
$U_{S} {\hat{p}}_{S}$	$U_{R} {\hat{p}}_{R}$	$U_{R} {\hat{p}}_{R}$	$[(α + β) \cos^{2} (θ_{S} - θ_{R}) + β] U_{S} {\hat{p}}_{S}$	$β U_{S} {\hat{p}}_{S}$

Channel	Recording		Reading	Reconstruction
$H_{n}$	$U_{S}$	$U_{R}$	$F$	$U_{F} (π / 2)$
$H_{1}$	$U_{1 S} {\hat{p}}_{S}$	$U_{R} \hat{s}$	$U_{R} \hat{s}$	$U_{1 S} {\hat{p}}_{S}$
$H_{2}$	$U_{2 S} \hat{s}$	$U_{R} \hat{s}$	$U_{R} \hat{s}$	$U_{2 S} \hat{s}$
$H_{3}$	$U_{3 S} {\hat{p}}_{S}$	$U_{R} {\hat{p}}_{R}$	$U_{R} {\hat{p}}_{R}$	$U_{3 S} {\hat{p}}_{S}$
$H_{4}$	$U_{4 S} \hat{s}$	$U_{R} {\hat{p}}_{R}$	$U_{R} {\hat{p}}_{R}$	$U_{4 S} \hat{s}$

Recording		Reading	Reconstruction
$U_{S}$	$U_{R}$	$F$	$U_{F}$	$U_{F} (π / 2)$
$U_{S} \hat{s}$	$U_{R} {\hat{p}}_{R}$	$U_{R} \hat{s}$	$β U_{S} \cdot \cos (θ_{S} - θ_{R}) {\hat{p}}_{S}$	0
$U_{S} \hat{s}$	$U_{R} {\hat{p}}_{R}$	$U_{R} {\hat{p}}_{R}$	$β U_{S} \hat{s}$	$β U_{S} \hat{s}$
$U_{S} {\hat{p}}_{S}$	$U_{R} \hat{s}$	$U_{R} \hat{s}$	$β U_{S} {\hat{p}}_{S}$	$β U_{S} {\hat{p}}_{S}$
$U_{S} {\hat{p}}_{S}$	$U_{R} \hat{s}$	$U_{R} {\hat{p}}_{R}$	$β U_{S} \cdot \cos (θ_{S} - θ_{R}) \hat{s}$	0
$U_{S} \hat{s}$	$U_{R} \hat{s}$	$U_{R} \hat{s}$	$(α + 2 β) U_{S} \hat{s}$	$(α + 2 β) U_{S} \hat{s}$
$U_{S} \hat{s}$	$U_{R} \hat{s}$	$U_{R} {\hat{p}}_{R}$	$α U_{S} \cdot \cos (θ_{S} - θ_{R}) {\hat{p}}_{S}$	0
$U_{S} {\hat{p}}_{S}$	$U_{R} {\hat{p}}_{R}$	$U_{R} \hat{s}$	$α U_{S} \cdot \cos (θ_{S} - θ_{R}) \hat{s}$	0
$U_{S} {\hat{p}}_{S}$	$U_{R} {\hat{p}}_{R}$	$U_{R} {\hat{p}}_{R}$	$[(α + β) \cos^{2} (θ_{S} - θ_{R}) + β] U_{S} {\hat{p}}_{S}$	$β U_{S} {\hat{p}}_{S}$

Channel	Recording		Reading	Reconstruction
$H_{n}$	$U_{S}$	$U_{R}$	$F$	$U_{F} (π / 2)$
$H_{1}$	$U_{1 S} {\hat{p}}_{S}$	$U_{R} \hat{s}$	$U_{R} \hat{s}$	$U_{1 S} {\hat{p}}_{S}$
$H_{2}$	$U_{2 S} \hat{s}$	$U_{R} \hat{s}$	$U_{R} \hat{s}$	$U_{2 S} \hat{s}$
$H_{3}$	$U_{3 S} {\hat{p}}_{S}$	$U_{R} {\hat{p}}_{R}$	$U_{R} {\hat{p}}_{R}$	$U_{3 S} {\hat{p}}_{S}$
$H_{4}$	$U_{4 S} \hat{s}$	$U_{R} {\hat{p}}_{R}$	$U_{R} {\hat{p}}_{R}$	$U_{4 S} \hat{s}$

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Equations (8)

Optics Letters