Design of interference using coherent beams configured as a six-sided pyramid

Yoshiki Nakata; Keiichi Murakawa; Kenji Sonoda; Kazuma Momoo; Noriaki Miyanaga

doi:10.1364/AO.51.005004

Applied Optics
Vol. 51,
Issue 21,
pp. 5004-5010
(2012)
•https://doi.org/10.1364/AO.51.005004

Design of interference using coherent beams configured as a six-sided pyramid

Yoshiki Nakata, Keiichi Murakawa, Kenji Sonoda, Kazuma Momoo, and Noriaki Miyanaga

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Yoshiki Nakata, Keiichi Murakawa, Kenji Sonoda, Kazuma Momoo, and Noriaki Miyanaga, "Design of interference using coherent beams configured as a six-sided pyramid," Appl. Opt. 51, 5004-5010 (2012)

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Abstract

Various interference pattern formations have been investigated using six countering laser beams that form a six-sided pyramid. Phase shift and amplitude variations among the interfering beams are very useful for designing interference patterns summarized here. The interference patterns are categorized into 32 unit figures, and structural changes with different thresholds are investigated in detail.

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Figure	Shape 1	Shape 2	$E_{1}$	$E_{2}$	$E_{3}$	$E_{4}$	$E_{5}$	$E_{6}$	$φ_{1} / π$	$φ_{2} / π$	$φ_{3} / π$	$φ_{4} / π$	$φ_{5} / π$	$φ_{6} / π$
2(a)	ring, nut: 95%	sun: 85,80%	1	1	1	1	1	1	0	0	0	0	0	0
2(b)	ring: 95%	star polygon: 85,80%	1	1	1	1	1	1	0.25	0	0	0	0	0
2(c)	hoe: 95%	star polygon: 85,80%	1	1	1	1	1	1	0.5	0	0	0	0	0
2(d)	line and ellipsold: 95,90%	star polygon: 50%	1	1	1	1	1	1	0.75	0	0	0	0	0
2(e)	line and eye: 95-80%	oval:50-20%	1	1	1	1	1	1	1	0	0	0	0	0
3(a)	ring: 95%	bow-tie & circle: 90-80%	0.5	1	1	1	1	1	0	0	0	0	0	0
3(b)	bow-tie & ellipsoid: 95-80%		0	1	1	1	1	1	0	0	0	0	0	0
3(c)	chain: 95-85%	sun: 80%	0.5	0.5	1	1	1	1	0	0	0	0	0	0
3(d)	oval & halfmoon: 95,90%	chain, wave & oval: 85,80%	0	0	1	1	1	1	0	0	0	0	0	0
3(e)	chain, ellipsoid & bow-tie: 95-85%		0.5	1	0.5	1	1	1	0	0	0	0	0	0
3(f)	cross: 95-80%		0	1	0	1	1	1	0	0	0	0	0	0
3(g)	oval & ellipsoid: 95-80%		0.5	1	1	0.5	1	1	0	0	0	0	0	0
3(h)	ellipsoid: 95-20%		0	1	1	0	1	1	0	0	0	0	0	0
3(i)	double split ring: 95%	sun: 85,80%	0.5	0.5	0.5	1	1	1	0	0	0	0	0	0
3(j)	bow-tie: 95,90%	ellipsoid: 85-20%	0	0	0	1	1	1	0	0	0	0	0	0
3(k)	chain: 95,90%	parallelogram & ellipsoid: 85,80%	0.5	0.5	1	0.5	1	1	0	0	0	0	0	0
3(l)	bow-tie : 95,90%	ellipsoid: 85-20%	0	0	1	0	1	1	0	0	0	0	0	0
3(m)	ring, nut: 95%	sun: 85,80%	0.5	1	0.5	1	0.5	1	0	0	0	0	0	0
3(n)	bow-tie: 95,90%	mesh: 85-20%	0	1	0	1	0	1	0	0	0	0	0	0
4(a)	line and ellipsoid: 95-85%	garter stitch, tree coat hunger: 80-50%	0.5	0.5	1	1	1	1	0	0	1	0	0	0
4(b)	line and ellipsoid: 95-80%	bow-tie & oval: 50%	0.5	1	0.5	1	1	1	0	1	0	0	0	0
4(c)	ladder: 95-80%	bow-tie & oval: 50%	0.5	1	0.5	1	0.5	1	1	0	0	0	0	0
4(d)	line & circle: 95-50%	bow-tie: 20%	1	0.5	0.5	1	0.5	0.5	1	0	0	0	0	0
4(e)	split ring, horseshoe: 90-85%	vessel & triangle: 80%	0.5	0.5	1	1	1	1	0.5	0.5	0	0	0	0
4(f)	cross: 90-80%		0.5	1	0.5	1	1	1	1	0	1	0	0	0
4(g)	bow-tie: 95%	ellipsoid: 90-20%	0.5	1	1	0.5	1	1	0.5	0	0	0.5	0	0
4(h)	bow-tie: 85-80%	hole chain: 50%	1	0.5	0.5	1	0.5	0.5	0.5	0	0	0.5	0	0
4(i)	bow-tie & ellipsoid or triangle: 95-80%		0.5	0.5	1	1	1	1	1	1	0	0	0	0
4(j)	$x$ : 95%	chain mesh: 90-80%	1	0.5	1	0.5	0.5	0.5	1	0	1	0	0	0
4(k)	oval & ellipsoid: 95-80%		0.5	1	1	0.5	1	1	1	0	0	1	0	0
4(l)	chain, wave & ellipsoid: 95-80%		1	0.5	0.5	1	0.5	0.5	1	0	0	1	0	0
4(m)	six petal flower: 95-80%		0.5	0.5	0.5	1	1	1	1	1	1	0	0	0

Design of interference using coherent beams configured as a six-sided pyramid

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Applied Optics