Effect of Particle Separation on the Reflectance of Semi-Infinite Diffusers

W. R. Blevin; W. J. Brown

doi:10.1364/JOSA.51.000129

Journal of the Optical Society of America
Vol. 51,
Issue 2,
pp. 129-134
(1961)
•https://doi.org/10.1364/JOSA.51.000129

Effect of Particle Separation on the Reflectance of Semi-Infinite Diffusers

W. R. Blevin and W. J. Brown

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W. R. Blevin and W. J. Brown, "Effect of Particle Separation on the Reflectance of Semi-Infinite Diffusers," J. Opt. Soc. Am. 51, 129-134 (1961)

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Abstract

It is shown experimentally that the reflectance of a semi-infinite suspension of particles in a nonabsorbing matrix is independent of particle concentration, except at high concentrations where the reflectance usually falls.

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	Reflectance (relative to MgO)
		Pigment concentration (percentage of total volume)
Pigment suspension	λ(mμ)	0.01	0.1	1	3	10	20	25	30	40
Titanium dioxide	365	0.23	0.23	0.23	0.24	0.27	0.28	0.28	0.27	0.27
(anatase form);	400		0.90	0.90	0.90	0.91	0.91	0.90	0.90	0.88
diluent,	500		0.98	0.98	0.98	0.98	0.97	0.97	0.97	0.96
distilled water	600		0.97	0.98	0.98	0.98	0.98	0.98	0.97	0.97
Titanium dioxide	400	0.38	0.38	0.38	0.38	0.38	0.38	0.38	0.38
(rutile form);	500		0.96	0.96	0.96	0.96	0.96	0.96	0.97
diluent,	600		0.96	0.97	0.97	0.98	0.98	0.98	0.98
distilled water	700		0.96	0.98	0.98	0.98	0.99	0.99	0.99
Barium sulfate;	365			0.82	0.82	0.82	0.81	0.81	0.80
diluent,	546			0.90	0.90	0.90	0.90	0.89	0.88
distilled water
Zinc oxide;	400		0.85	0.86	0.86	0.86	0.84	0.81
diluent,	500		0.98	0.98	0.98	0.98	0.97	0.97
distilled water	600		0.96	0.98	0.98	0.98	0.97	0.97
	700		0.93	0.97	0.98	0.97	0.97	0.96

	Reflectance (relative to MgO)
		Pigment concentration (percentage of maximum concentration)
Pigment suspension	λ(mμ)	0.1	1	10	20	50	75	100
Yellow pigment;	500	0.16	0.16	0.16	0.16	0.16	0.15	0.14
diluent,	525		0.59	0.59	0.59	0.58	0.57	0.55
distilled water	550		0.79	0.79	0.79	0.78	0.77	0.76
	600		0.88	0.89	0.89	0.88	0.88	0.87
	650		0.88	0.91	0.91	0.90	0.90	0.89
	700		0.86	0.92	0.92	0.92	0.91	0.91
Dark blue pigment;	400	0.052	0.052	0.053	0.053	0.051	0.049	0.047
diluent,	500	0.033	0.033	0.034	0.033	0.032	0.031	0.030
distilled water	600	0.023	0.023	0.023	0.023	0.022	0.021	0.020
	700	0.025	0.025	0.025	0.025	0.024	0.024	0.024
White enamel paint;	400		0.37	0.37	0.37	0.38	0.38	0.38
diluent,	500		0.90	0.92	0.92	0.92	0.92	0.92
distilled mineral	600		0.95	0.96	0.96	0.97	0.97	0.97
turpentine	700		0.96	0.97	0.97	0.98	0.98	0.98
Red enamel paint;	600		0.19	0.20	0.20	0.20	0.20	0.20
diluent,	620		0.48	0.48	0.48	0.48	0.48	0.47
distilled mineral	650		0.72	0.72	0.72	0.72	0.72	0.72
turpentine	700		0.77	0.77	0.77	0.77	0.77	0.76

	Reflectance (relative to MgO)
		Pigment concentration (percentage of total volume)
Pigment	λ(mμ)	5	10	20	30	35	40	45	50
Magnesium carbonate	400	0.94	0.94	0.94	0.93	0.93	0.92	0.90
	500	0.97	0.97	0.97	0.97	0.96	0.95	0.94
	600	0.98	0.98	0.98	0.98	0.97	0.97	0.96
	700	0.99	0.99	0.99	0.99	0.98	0.98	0.97
Magnesium oxide (not freshly prepared)	400		0.95	0.95	0.94	0.93	0.91
	500		0.97	0.97	0.96	0.95	0.93
	600		0.98	0.98	0.97	0.96	0.94
	700		0.99	0.99	0.98	0.98	0.96
Titanium dioxide (anatase form)	350						0.12^a	0.12^a	0.12^a
	400						0.92	0.91	0.90
	500						0.97	0.97	0.96
	700						0.97	0.97	0.96
Titanium dioxide (rutile form)	400				0.44	0.44	0.43	0.43
	500				0.95	0.95	0.96	0.95
	600				0.96	0.96	0.96	0.96
	700				0.98	0.98	0.98	0.98

	Reflectance (relative to MgO)
		Pigment concentration (percentage of total volume)
Pigment suspension	λ(mμ)	0.01	0.1	1	3	10	20	25	30	40
Titanium dioxide	365	0.23	0.23	0.23	0.24	0.27	0.28	0.28	0.27	0.27
(anatase form);	400		0.90	0.90	0.90	0.91	0.91	0.90	0.90	0.88
diluent,	500		0.98	0.98	0.98	0.98	0.97	0.97	0.97	0.96
distilled water	600		0.97	0.98	0.98	0.98	0.98	0.98	0.97	0.97
Titanium dioxide	400	0.38	0.38	0.38	0.38	0.38	0.38	0.38	0.38
(rutile form);	500		0.96	0.96	0.96	0.96	0.96	0.96	0.97
diluent,	600		0.96	0.97	0.97	0.98	0.98	0.98	0.98
distilled water	700		0.96	0.98	0.98	0.98	0.99	0.99	0.99
Barium sulfate;	365			0.82	0.82	0.82	0.81	0.81	0.80
diluent,	546			0.90	0.90	0.90	0.90	0.89	0.88
distilled water
Zinc oxide;	400		0.85	0.86	0.86	0.86	0.84	0.81
diluent,	500		0.98	0.98	0.98	0.98	0.97	0.97
distilled water	600		0.96	0.98	0.98	0.98	0.97	0.97
	700		0.93	0.97	0.98	0.97	0.97	0.96

	Reflectance (relative to MgO)
		Pigment concentration (percentage of maximum concentration)
Pigment suspension	λ(mμ)	0.1	1	10	20	50	75	100
Yellow pigment;	500	0.16	0.16	0.16	0.16	0.16	0.15	0.14
diluent,	525		0.59	0.59	0.59	0.58	0.57	0.55
distilled water	550		0.79	0.79	0.79	0.78	0.77	0.76
	600		0.88	0.89	0.89	0.88	0.88	0.87
	650		0.88	0.91	0.91	0.90	0.90	0.89
	700		0.86	0.92	0.92	0.92	0.91	0.91
Dark blue pigment;	400	0.052	0.052	0.053	0.053	0.051	0.049	0.047
diluent,	500	0.033	0.033	0.034	0.033	0.032	0.031	0.030
distilled water	600	0.023	0.023	0.023	0.023	0.022	0.021	0.020
	700	0.025	0.025	0.025	0.025	0.024	0.024	0.024
White enamel paint;	400		0.37	0.37	0.37	0.38	0.38	0.38
diluent,	500		0.90	0.92	0.92	0.92	0.92	0.92
distilled mineral	600		0.95	0.96	0.96	0.97	0.97	0.97
turpentine	700		0.96	0.97	0.97	0.98	0.98	0.98
Red enamel paint;	600		0.19	0.20	0.20	0.20	0.20	0.20
diluent,	620		0.48	0.48	0.48	0.48	0.48	0.47
distilled mineral	650		0.72	0.72	0.72	0.72	0.72	0.72
turpentine	700		0.77	0.77	0.77	0.77	0.77	0.76

Abstract

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Figures (4)

Tables (3)

Equations (3)

Journal of the Optical Society of America