Optical programmable shifting for data processing

Yarning Wu; Liren Liu; Zhijiang Wang

doi:10.1364/AO.32.004989

Applied Optics
Vol. 32,
Issue 26,
pp. 4989-5991
(1993)
•https://doi.org/10.1364/AO.32.004989

Optical programmable shifting for data processing

Yarning Wu, Liren Liu, and Zhijiang Wang

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Yarning Wu, Liren Liu, and Zhijiang Wang, "Optical programmable shifting for data processing," Appl. Opt. 32, 4989-5991 (1993)

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Abstract

A programmable shifter that uses birefringent crystal plates and programmable half-wave plates is described. It can accomplish right, left, right-cyclic, and left-cyclic shifting on the fly.

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Bits (m _c m _s )	First-to kth-Stage Shifter	P State	(k + l)th-Stage Shifter	P State	(k + 2)th-Stage Shifter
00	m _k ⋯ m₁-step right shifting	m _k	nonshifting	0	Nonshifting
01	${\bar{m}}_{k}$ ⋯ ${\bar{m}}_{1}$ -step right shifting	${\bar{m}}_{k}$	one-step right shifting	1	N-step left shifting
10	m _k ⋯ m₁-step right shifting	m _k	nonshifting	0	nonshifting and N-step shifting
11	${\bar{m}}_{k}$ ⋯ ${\bar{m}}_{1}$ -step right shifting	${\bar{m}}_{k}$	one-step right shifting	1	nonshifting and N-step shifting

Bits (m _c m _s )	PHW1 (m₁ ⊕ m _s )	PHW₂ (m₂ ⊕ m₁)	${PHW}_{4}^{1} ({\bar{m}}_{c} + {\bar{m}}_{s})$	${PHW}_{4}^{2} ({\bar{m}}_{c} + m_{s})$
00	m₁ = 1	1	1	1
01	${\bar{m}}_{1}$ = 0	1	1	1
10	m₁ = 1	1	1	0
11	${\bar{m}}_{1}$ = 0	1	0	1

Bits (m _c m _s )	First-to kth-Stage Shifter	P State	(k + l)th-Stage Shifter	P State	(k + 2)th-Stage Shifter
00	m _k ⋯ m₁-step right shifting	m _k	nonshifting	0	Nonshifting
01	${\bar{m}}_{k}$ ⋯ ${\bar{m}}_{1}$ -step right shifting	${\bar{m}}_{k}$	one-step right shifting	1	N-step left shifting
10	m _k ⋯ m₁-step right shifting	m _k	nonshifting	0	nonshifting and N-step shifting
11	${\bar{m}}_{k}$ ⋯ ${\bar{m}}_{1}$ -step right shifting	${\bar{m}}_{k}$	one-step right shifting	1	nonshifting and N-step shifting

Bits (m _c m _s )	PHW1 (m₁ ⊕ m _s )	PHW₂ (m₂ ⊕ m₁)	${PHW}_{4}^{1} ({\bar{m}}_{c} + {\bar{m}}_{s})$	${PHW}_{4}^{2} ({\bar{m}}_{c} + m_{s})$
00	m₁ = 1	1	1	1
01	${\bar{m}}_{1}$ = 0	1	1	1
10	m₁ = 1	1	1	0
11	${\bar{m}}_{1}$ = 0	1	0	1

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Applied Optics