Applications of the 1-D diffusion approximation to the optics of tissues and tissue phantoms

James L. Karagiannes; Zengyao Zhang; Bess Grossweiner; Leonard I. Grossweiner

doi:10.1364/AO.28.002311

Applied Optics
Vol. 28,
Issue 12,
pp. 2311-2317
(1989)
•https://doi.org/10.1364/AO.28.002311

Applications of the 1-D diffusion approximation to the optics of tissues and tissue phantoms

James L. Karagiannes, Zengyao Zhang, Bess Grossweiner, and Leonard I. Grossweiner

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James L. Karagiannes, Zengyao Zhang, Bess Grossweiner, and Leonard I. Grossweiner, "Applications of the 1-D diffusion approximation to the optics of tissues and tissue phantoms," Appl. Opt. 28, 2311-2317 (1989)

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Abstract

Optical constants of animal and plant tissues were measured over a wide spectral range using an integrating sphere spectrophotometer. The data were analyzed with two formulations of the 1-D diffusion approximation differing in the phase function. The accuracy of the similarity transformation was examined with tissue phantoms incorporating known chromophores in light scattering media.

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Tissue	Wavelength (nm)	k^a (cm⁻¹)	s′^a (cm⁻¹)	δ_calc^b (cm)	δ_exp^c (cm)
Bovine muscle	633	1.66	4.38	0.18	0.26 ± 0.05
	1064	1.18	2.81	0.27	0.43 ± 0.09
Bovine liver	633	3.21	5.23	0.11	0.15 ± 0.01
	1064	0.53	1.76	0.52	0.31 ± 0.05
Calf brain	633	1.82	6.39	0.15	0.29 ± 0.07
	1064	1.22	2.93	0.26	0.40 ± 0.08
Idaho potato	633	0.19	6.53	0.51	0.70 ± 0.05
	1064	0.36	6.73	0.36	0.50 ± 0.04
Sweet potato	633	0.27	13.16	0.30	0.38 ± 0.05
	1064	0.45	12.96	0.23	0.30 ± 0.05

Wavelength (nm)	n	n₀	10⁸σ_sc^c (cm²)	g^b	s (cm⁻¹)	s(1 − g) (cm⁻¹)
400	1.631	1.343	6.70	0.84	73.7	11.8
700	1.589	1.330	11.10	0.90	122.1	12.2
1000	1.578	1.327	10.16	0.91	111.7	10.1

	ω₀	Exact	1DAJP	1DAG
g = 0	0.99	0.7528^b	0.7565	^a
r_i = 0	0.95	0.5356	0.5443	^a
	0.90	0.4150	0.4260	^a
	0.80	0.2853	0.2973	^a
g = 0	0.99	0.6020^c	0.5795	^a
r_i = 0.596	0.95	0.3612	0.3390	^a
	0.90	0.2600	0.2381	^a
	0.80	0.1720	0.1483	^a
g = 0.25	0.99	0.7183^b	0.7217	0.7259
r_i = 0	0.95	0.4809	0.4872	0.3795
	0.90	0.3555	0.3625	0.3795
	0.80	0.2282	0.2347	0.2548
g = 1/3	0.99	0.7027^c	0.7063	0.7125
r_i = 0	0.95	0.4555	0.4627	0.4808
	0.90	0.3271	0.3359	0.3607
	0.80	0.2002	0.2096	0.2382
g = 1/3	0.99	0.542^c	0.5175	0.5221
r_i = 0.596	0.95	0.294	0.2178	0.2825
	0.90	0.198	0.1771	0.1902
	0.80	0.121	0.0993	0.1129
g = 0.5	0.99	0.6646^c	0.6659	0.6780
r_i = 0	0.95	0.4039	0.4008	0.4347
	0.90	0.2778	0.2705	0.3154
	0.80	0.1615	0.1500	0.2035
g = 0.75	0.99	0.5592^c	0.5516	0.5838
r_i = 0	0.95	0.2768	0.2433	0.3327
	0.90	0.1655	0.1168	0.2152
	0.80	0.0815	0.0241	0.1237
g = 0.875	0.99	0.4397^c	0.4144	0.4772
r_i = 0	0.95	0.1677	0.0881	0.2224
	0.90	0.0866	(−0.0159)	0.1350
	0.80	0.0375	(−0.0686)	0.0711

Tissue	Wavelength (nm)	k^a (cm⁻¹)	s′^a (cm⁻¹)	δ_calc^b (cm)	δ_exp^c (cm)
Bovine muscle	633	1.66	4.38	0.18	0.26 ± 0.05
	1064	1.18	2.81	0.27	0.43 ± 0.09
Bovine liver	633	3.21	5.23	0.11	0.15 ± 0.01
	1064	0.53	1.76	0.52	0.31 ± 0.05
Calf brain	633	1.82	6.39	0.15	0.29 ± 0.07
	1064	1.22	2.93	0.26	0.40 ± 0.08
Idaho potato	633	0.19	6.53	0.51	0.70 ± 0.05
	1064	0.36	6.73	0.36	0.50 ± 0.04
Sweet potato	633	0.27	13.16	0.30	0.38 ± 0.05
	1064	0.45	12.96	0.23	0.30 ± 0.05

Wavelength (nm)	n	n₀	10⁸σ_sc^c (cm²)	g^b	s (cm⁻¹)	s(1 − g) (cm⁻¹)
400	1.631	1.343	6.70	0.84	73.7	11.8
700	1.589	1.330	11.10	0.90	122.1	12.2
1000	1.578	1.327	10.16	0.91	111.7	10.1

Abstract

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Applied Optics