A Preliminary Investigation of the Bidirectional Spectral Reflectance of V-grooved Surfaces

Richard B. Zipin

doi:10.1364/AO.5.001954

Applied Optics
Vol. 5,
Issue 12,
pp. 1954-1957
(1966)
•https://doi.org/10.1364/AO.5.001954

A Preliminary Investigation of the Bidirectional Spectral Reflectance of V-grooved Surfaces

Richard B. Zipin

Not Accessible

Your library or personal account may give you access

Get PDF
Email
Share
Get Citation
Copy Citation Text
Richard B. Zipin, "A Preliminary Investigation of the Bidirectional Spectral Reflectance of V-grooved Surfaces," Appl. Opt. 5, 1954-1957 (1966)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Citation alert
Save article

Abstract

The bidirectional spectral reflectance of a set of V-grooved surfaces has been investigated in an attempt to separate the influences of the mean slope and the peak-to-valley height. The experimental results show good agreement with the theoretical models in both the geometrical optics and diffraction ranges.

Full Article | PDF Article

More Like This

An Equation for the Local Thermal Emissivity at the Vertex of a Diffuse Conical or V-Groove Cavity

Francis J. Kelly
Appl. Opt. 5(6) 925-927 (1966)

Polarization, Directional Distribution, and Off-Specular Peak Phenomena in Light Reflected from Roughened Surfaces

K. E. Torrance, E. M. Sparrow, and R. C. Birkebak
J. Opt. Soc. Am. 56(7) 916-925 (1966)

Effects of Reflection Properties of Natural Surfaces in Aerial Reconnaissance

Kinsell L. Coulson
Appl. Opt. 5(6) 905-917 (1966)

Previous Article Next Article

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (4)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (3)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Specimen no.	Grooves/mm	Spacing (microns)	Peak-to-valley height (microns)
Groove angle = 90°
1	20	50	25.4
2	40	25	12.7
3	100	10	5
4	250	4	2
Groove angle = 120°
5	12	83	24.4
6	24	42	12.2
7	60	17	4.9
8	125	8	2.3
Groove angle = 150°
9	5	200	26.5
10	10	100	13.3
11	24	42	5.5
12	60	17	2.2

		(h/λ)cosϕ

Groove depth h(μ)	Wavelength λ(μ)	Angle of incidence, ϕ
Groove depth h(μ)	Wavelength λ(μ)	0°	15°	30°	45°	60°	75°
	0.5	49	47	42	35	24	13
24.4		S	S	S	S	S	S
(No. 5)	1.5	16	16	14	12	8.1	4.2
		S + d	S + d	S	S	S	S
	0.5	24	24	21	17	12	6.3
12.2		S	S	S	S	S + d	S + D
(No. 6)	1.5	8.1	7.9	7.0	5.8	4.1	2.1
		S + d	S + D	S + D	S	S + d	S + D
	0.5	9.8	9.5	8.5	6.9	4.9	2.5
4.9		S	S + D	S + D	S + d	S	S + D
(No. 7)	1.5	3.3	3.2	2.8	2.3	1.6	0.85
		S + D	S + D	D	D	D	D
	0.5	4.6	4.5	4.0	3.3	2.3	1.2
2.3		S?	S	S + d	?	?	*?
(No. 8)	1.5	1.5	1.5	1.3	1.1	0.77	0.40
		S?	S + d	S + D	D	D	D*

	Angle of reflection X and relative intensity I/I₀

Angle of incidence ϕ	Near wall one reflection		Far wall one reflection		Near wall two reflections
Angle of incidence ϕ	χ	I/I₀	χ	I/I₀	χ	I/I₀
0°	−60°	0.500 ρ	60°	0.500 ρ	—	—
15°	−45°	0.577 ρ	75°	0.268 ρ	45°	0.161 ρ2
30°	−30°	0.667 ρ	—	—	30°	0.333 ρ2
45°	−15°	0.789 ρ	—	—	15°	0.211 ρ2
60°	0°	1.000 ρ	—	—	—	—
75°	15°	1.000 ρ	—	—	—	—

Specimen no.	Grooves/mm	Spacing (microns)	Peak-to-valley height (microns)
Groove angle = 90°
1	20	50	25.4
2	40	25	12.7
3	100	10	5
4	250	4	2
Groove angle = 120°
5	12	83	24.4
6	24	42	12.2
7	60	17	4.9
8	125	8	2.3
Groove angle = 150°
9	5	200	26.5
10	10	100	13.3
11	24	42	5.5
12	60	17	2.2

		(h/λ)cosϕ

Groove depth h(μ)	Wavelength λ(μ)	Angle of incidence, ϕ
Groove depth h(μ)	Wavelength λ(μ)	0°	15°	30°	45°	60°	75°
	0.5	49	47	42	35	24	13
24.4		S	S	S	S	S	S
(No. 5)	1.5	16	16	14	12	8.1	4.2
		S + d	S + d	S	S	S	S
	0.5	24	24	21	17	12	6.3
12.2		S	S	S	S	S + d	S + D
(No. 6)	1.5	8.1	7.9	7.0	5.8	4.1	2.1
		S + d	S + D	S + D	S	S + d	S + D
	0.5	9.8	9.5	8.5	6.9	4.9	2.5
4.9		S	S + D	S + D	S + d	S	S + D
(No. 7)	1.5	3.3	3.2	2.8	2.3	1.6	0.85
		S + D	S + D	D	D	D	D
	0.5	4.6	4.5	4.0	3.3	2.3	1.2
2.3		S?	S	S + d	?	?	*?
(No. 8)	1.5	1.5	1.5	1.3	1.1	0.77	0.40
		S?	S + d	S + D	D	D	D*

Abstract

Cited By

Figures (4)

Tables (3)

Applied Optics