Diffraction of transmission light through triangular apertures in array of retro-reflective microprisms

Yizhou Tan; Han Chen

doi:10.1364/AO.51.003403

Diffraction of transmission light through triangular apertures in array of retro-reflective microprisms

Yizhou Tan and Han Chen

Applied Optics
Vol. 51,
Issue 16,
pp. 3403-3409
(2012)
•https://doi.org/10.1364/AO.51.003403

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Yizhou Tan and Han Chen, "Diffraction of transmission light through triangular apertures in array of retro-reflective microprisms," Appl. Opt. 51, 3403-3409 (2012)

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Related Topics
Table of Contents Category
- Diffraction and Gratings
Optics & Photonics Topics
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The topics in this list come from the OSA Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Diffractive optics (050.1970)
- Testing (220.4840)
- Microstructure fabrication (230.4000)
- Prisms (230.5480)
- Micro-optics (350.3950)

About this Article
History
- Original Manuscript: October 21, 2011
- Revised Manuscript: January 31, 2012
- Manuscript Accepted: March 13, 2012
- Published: May 30, 2012

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Abstract

An array of microprisms was described by a model of multiperiod blazed gratings consisting of triangular apertures. The origins of hexagram-shaped diffraction patterns were interpreted based on multiple-beam interference and diffraction array theorem. The relation between zonal/line ghost fringes and imperfectly fabricated array structures was analyzed. Geometrical performance (e.g., the dihedral angle of the microprism) was tested by measuring the features of diffraction patterns of samples from three retroreflective sheeting manufacturers.

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Sample No.	1	2	3
Material Index	1.541	1.574	1.466
Dihedral angle $α$ (cos $α$ )	0.579	0.522	0.637
Dihedral angle $β$ (cos $β$ )	0.576	0.674	0.433
Groove angle $ε_{1}$ , $ε_{2}$ ( $ε_{1} = ε_{2}$ )	70.63°	80.44°	62.75°
Groove angle $ε_{3}$	70.63°	58.38°	89.71°
Ratio I of side $k^{'} (L_{2} / L_{1})$	0.990	0.847	1.144
Ratio II of side $k (L_{2} / L_{1})$	0.991	0.864	1.170
Relative error $Δ (k^{'} - k / k^{'})$	0.1%	2.0%	2.2%

Number	5	6	7	8
Orientation deviation	$\pm 10^{'}$	$+ 10^{'}$	$< 10^{'}$	$+ 40^{'}$
Ghost lines/zonal	2	1	$1 - 2$	Zonal

Sample No.	1	2	3
Material Index	1.541	1.574	1.466
Dihedral angle $α$ (cos $α$ )	0.579	0.522	0.637
Dihedral angle $β$ (cos $β$ )	0.576	0.674	0.433
Groove angle $ε_{1}$ , $ε_{2}$ ( $ε_{1} = ε_{2}$ )	70.63°	80.44°	62.75°
Groove angle $ε_{3}$	70.63°	58.38°	89.71°
Ratio I of side $k^{'} (L_{2} / L_{1})$	0.990	0.847	1.144
Ratio II of side $k (L_{2} / L_{1})$	0.991	0.864	1.170
Relative error $Δ (k^{'} - k / k^{'})$	0.1%	2.0%	2.2%

Number	5	6	7	8
Orientation deviation	$\pm 10^{'}$	$+ 10^{'}$	$< 10^{'}$	$+ 40^{'}$
Ghost lines/zonal	2	1	$1 - 2$	Zonal

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