Talbot effect and the array illuminators that are based on it

Xiao-Yi Da

doi:10.1364/AO.31.002983

Applied Optics
Vol. 31,
Issue 16,
pp. 2983-2986
(1992)
•https://doi.org/10.1364/AO.31.002983

Talbot effect and the array illuminators that are based on it

Xiao-Yi Da

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Xiao-Yi Da, "Talbot effect and the array illuminators that are based on it," Appl. Opt. 31, 2983-2986 (1992)

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Abstract

A general method is described that permits demonstration that only three different array illuminators based on the Talbot effect can be produced.

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Equations (34)

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Case	w/d	φ	c₀	Δu₀₁	Δu₀₂	θ	z/z_T	n	Intensity Contrast
(1)	1/2	π/2	(1 + j)/2	(1 − j)/2	−(1 − j)/2	−π/2a	1/4	2h − 1	0:2
(2)	1/2	π/2	(1 + j)/2	(1 − j)/2	−(1 − j)/2	+π/2b	3/4	2h − 1	0:2
(3)	1/3	2π/3	$(3 + j \sqrt{3}) / 6$	$(3 - j \sqrt{3}) / 6$	$- (3 - j \sqrt{3}) 2 / 6$	−2π/3a	1/3	3h ± 1	0:3

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Applied Optics