Shift-multiplexed holographic memory using the two-lambda method

George Barbastathis; Demetri Psaltis

doi:10.1364/OL.21.000432

Optics Letters
Vol. 21,
Issue 6,
pp. 432-434
(1996)
•https://doi.org/10.1364/OL.21.000432

Shift-multiplexed holographic memory using the two-lambda method

George Barbastathis and Demetri Psaltis

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George Barbastathis and Demetri Psaltis, "Shift-multiplexed holographic memory using the two-lambda method," Opt. Lett. 21, 432-434 (1996)

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Abstract

We present theoretical and experimental results on the application of the two-lambda method for prolonged readout of holographic memories to shift multiplexing implemented with a spherical-wave reference beam.

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Bragg selectivity	$δ_{1} = \frac{λ_{1}^{'} [n_{1} z_{1}^{'} - (n_{1} - 1) L / 2]}{u_{1}^{'} L} + \frac{λ_{1}^{'}}{2 {(NA)}_{1}}$
	$δ_{2} = \frac{λ_{2}^{'} [n_{2} z_{2}^{'} - (n_{2} - 1) L / 2]}{u_{2}^{'} L} + \frac{λ_{2}^{'}}{2 {(NA)}_{2}}$
Focusing condition	$λ_{1}^{'} [z_{1}^{'} - (1 - \frac{1}{n_{1}}) \frac{L}{2}] = λ_{2}^{'} [z_{2}^{'} - (1 - \frac{1}{n_{2}}) \frac{L}{2}]$
Bragg matching condition	$δ_{B} = \frac{1}{2} (\frac{n_{1} λ_{2}^{'}}{n_{2} λ_{1}} - 1) \frac{u_{1}^{'}}{n_{1}} [n_{2} z_{2}^{'} - (n_{2} - 1) L / 2] + \frac{λ_{2}^{'}}{2 {(NA)}_{2}}$
Reconstructed band	$Δ u_{2} = \frac{λ_{1}^{'}}{(\frac{n_{1} λ_{2}^{'}}{n_{2} λ_{1}^{'}} - 1) u_{1 c}^{'} L}$

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