Goniospectrophotometric space curves of diffraction gratings and their applicability as appearance fingerprints

Nina Rogelj; Igor Poberaj; Marta Klanjšek Gunde

doi:10.1364/AO.52.008355

Applied Optics
Vol. 52,
Issue 34,
pp. 8355-8362
(2013)
•https://doi.org/10.1364/AO.52.008355

Goniospectrophotometric space curves of diffraction gratings and their applicability as appearance fingerprints

Nina Rogelj, Igor Poberaj, and Marta Klanjšek Gunde

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Nina Rogelj, Igor Poberaj, and Marta Klanjšek Gunde, "Goniospectrophotometric space curves of diffraction gratings and their applicability as appearance fingerprints," Appl. Opt. 52, 8355-8362 (2013)

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- Vision, Color, and Visual Optics
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About this Article
History
- Original Manuscript: July 29, 2013
- Revised Manuscript: October 24, 2013
- Manuscript Accepted: October 26, 2013
- Published: November 25, 2013
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Abstract

The bidirectional reflectance distribution functions of diffraction gratings were calculated by applying diffraction theory and transformed into goniospectrophotometric space curves. Gratings with parallel sinusoidal grooves having periods of 1–3.5 μm and amplitudes below 0.2 μm were analyzed. The obtained goniospectrophotometric space curves consist of lines with different slopes and possible interconnections. The slope of the lines is directly connected to the grating period and the length to the period and the amplitude. Such curves could be regarded as a simple appearance fingerprint of a diffraction grating. The ability of portable multiangle spectrophotometers to provide them for diffraction gratings is analyzed.

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$p (μm)$	$λ_{c} (nm)$	$λ_{t} (nm)$	$φ_{as}$	$m$
3.5	550	556	$- 15$	$- 1$
3.5	$> 700$	725	15	1
3.5	420	426	25	3
3.5	630	639	25	2

$p (μm)$	$λ_{c} (nm)$	$λ_{t} (nm)$	$φ_{as}$	$m$
1	$> 700$	707	45	1
1.5	545	548	25	1
2	415	414	15	1
2	$> 700$	730	25	1
2.5	$< 400$	397	$- 15$	1
2.5	510	518	15	$- 1$
3	475	477	$- 15$	$- 1$
3	620	621	15	1
3.5	550	556	$- 15$	$- 1$
3.5	$> 700$	725	15	1

$p (μm)$	$λ_{c} (nm)$	$λ_{t} (nm)$	$φ_{as}$	$m$
1	530	533	35	1
1	$> 700$ ^a	707	45	1
1.5	420	417	$- 35$	$- 1$
1.5	540^a	547	25	1
2	550	555	$- 35$	$- 1$
2	460	465	$- 25$	$- 1$
2	420^a	414	15	1
2	$> 700$ ^a	730	25	1
2.5	680	694	$- 35$	$- 1$
2.5	580	581	$- 25$	$- 1$
2.5	$< 400$ ^a	397	$- 15$	$- 1$
2.5	510^a	518	15	1
3	680	698	$- 25$	$- 1$
3	470^a	477	$- 15$	$- 1$
3	620^a	621	15	1
3.5	550^a	556	$- 15$	$- 1$
3.5	$> 700$ ^a	725	15	1

$p (μm)$	$λ_{c} (nm)$	$λ_{t} (nm)$	$φ_{as}$	$m$
3.5	550	556	$- 15$	$- 1$
3.5	$> 700$	725	15	1
3.5	420	426	25	3
3.5	630	639	25	2

$p (μm)$	$λ_{c} (nm)$	$λ_{t} (nm)$	$φ_{as}$	$m$
1	$> 700$	707	45	1
1.5	545	548	25	1
2	415	414	15	1
2	$> 700$	730	25	1
2.5	$< 400$	397	$- 15$	1
2.5	510	518	15	$- 1$
3	475	477	$- 15$	$- 1$
3	620	621	15	1
3.5	550	556	$- 15$	$- 1$
3.5	$> 700$	725	15	1

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Applied Optics