Distinguishing anisotropy orientations originated from scattering and birefringence of turbid media using Mueller matrix derived parameters

Tao Sun; Teng Liu; Honghui He; Jian Wu; Hui Ma

doi:10.1364/OL.43.004092

Optics Letters
Vol. 43,
Issue 17,
pp. 4092-4095
(2018)
•https://doi.org/10.1364/OL.43.004092

Distinguishing anisotropy orientations originated from scattering and birefringence of turbid media using Mueller matrix derived parameters

Tao Sun, Teng Liu, Honghui He, Jian Wu, and Hui Ma

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Tao Sun, Teng Liu, Honghui He, Jian Wu, and Hui Ma, "Distinguishing anisotropy orientations originated from scattering and birefringence of turbid media using Mueller matrix derived parameters," Opt. Lett. 43, 4092-4095 (2018)

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Abstract

Anisotropic structures such as myofibrils, collagen, and elastic fibers are prevalent in tissues. The orientations of these anisotropic structures are important indicators in various biomedical studies. Here we analyze the ability of using Mueller matrix polar decomposition (MMPD) and Mueller matrix transformation (MMT) parameters to determine and distinguish the accurate orientations of different anisotropies originated from scattering and birefringence in backscattering measurements. The experimental results of complex phantoms and Monte Carlo simulations suggest that the MMT and MMPD parameters can be used to reveal the orientations of the cylindrical scatterers and birefringence in turbid media, respectively. Moreover, a preliminary application of these Mueller matrix-derived parameters on bovine tendon samples demonstrates the ability of using the parameters to distinguish anisotropic scattering and birefringence orientations of tissues. The anisotropy orientation information can be helpful for biomedical studies or diagnosis.

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Wavelength	Retardation		−70	−50	−30	−10
528 nm	53 deg	$x$	4	3	−3	0
528 nm	53 deg	$θ$	−73	−54	−30	−8
451 nm	62 deg	$x$	−2	6	−4	−1
451 nm	62 deg	$θ$	−74	−53	−32	−9
633 nm	74 deg	$x$	7	2	2	−5
633 nm	74 deg	$θ$	−68	−51	−31	−10

Phantom ^a			Sample Orientation				Mean	Var
Ideal value			0	30	60	90	0	0
$cyl + sph / x$			−2	29	59	86	−1.0	1.9
$bir + sph / θ$			2	30	58	88	0.0	3.5
$bir + cyl$	−70	$x$	0	29	61	89	0.3	1.1
	−70	$θ$	−74	−74	−75	−74	−74.2	0.2
	−50	$x$	3	33	59	89	1.2	3.5
	−50	$θ$	−53	−52	−51	−52	−51.5	0.7
	−30	$x$	−3	27	53	81	−5.0	7.3
	−30	$θ$	−33	−32	−30	−32	−31.3	2.2
	−10	$x$	−2	26	53	83	−5.3	2.9
	−10	$θ$	−11	−10	−11	−11	−10.5	0.7

Wavelength	Retardation		−70	−50	−30	−10
528 nm	53 deg	$x$	4	3	−3	0
528 nm	53 deg	$θ$	−73	−54	−30	−8
451 nm	62 deg	$x$	−2	6	−4	−1
451 nm	62 deg	$θ$	−74	−53	−32	−9
633 nm	74 deg	$x$	7	2	2	−5
633 nm	74 deg	$θ$	−68	−51	−31	−10

Phantom ^a			Sample Orientation				Mean	Var
Ideal value			0	30	60	90	0	0
$cyl + sph / x$			−2	29	59	86	−1.0	1.9
$bir + sph / θ$			2	30	58	88	0.0	3.5
$bir + cyl$	−70	$x$	0	29	61	89	0.3	1.1
	−70	$θ$	−74	−74	−75	−74	−74.2	0.2
	−50	$x$	3	33	59	89	1.2	3.5
	−50	$θ$	−53	−52	−51	−52	−51.5	0.7
	−30	$x$	−3	27	53	81	−5.0	7.3
	−30	$θ$	−33	−32	−30	−32	−31.3	2.2
	−10	$x$	−2	26	53	83	−5.3	2.9
	−10	$θ$	−11	−10	−11	−11	−10.5	0.7

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Equations (3)

Optics Letters