Model-free determination of the birefringence and dichroism in c-cut crystals from transmission ellipsometry measurements

Huihui Li; Huihui Li; Huihui Li; Changcai Cui; Changcai Cui; Changcai Cui; Subiao Bian; Subiao Bian; Subiao Bian; Jing Lu; Jing Lu; Xipeng Xu; Xipeng Xu; Oriol Arteaga; Oriol Arteaga; Oriol Arteaga

doi:10.1364/AO.386583

Applied Optics
Vol. 59,
Issue 7,
pp. 2192-2200
(2020)
•https://doi.org/10.1364/AO.386583

Model-free determination of the birefringence and dichroism in c-cut crystals from transmission ellipsometry measurements

Huihui Li, Changcai Cui, Subiao Bian, Jing Lu, Xipeng Xu, and Oriol Arteaga

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Huihui Li, Changcai Cui, Subiao Bian, Jing Lu, Xipeng Xu, and Oriol Arteaga, "Model-free determination of the birefringence and dichroism in c-cut crystals from transmission ellipsometry measurements," Appl. Opt. 59, 2192-2200 (2020)

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Abstract

In this work, we derive closed-form expressions for determination of the linear birefringence and linear dichroism of uniaxial crystals utilizing transmission ellipsometry measurements at small angles of incidence in $ c $-cut crystal substrates. The model-free method we use is an algebraic generalization of the method reported in Appl. Opt. 44, 3153 (2005). [CrossRef] The optical anisotropy of substrates of sapphire, 4H-SiC, and 6H-SiC single crystals is measured for illustration.

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Publication	$(n_{e} - n_{o})$ @300 nm	$(n_{e} - n_{o})$ @600 nm
This work	$- 0.0090 \pm 0.0004$	$- 0.0081 \pm 0.0003$
Harman [10]	−0.0088	−0.0077
Yao [11]	−0.0058	−0.0061

Publication	$(n_{e} - n_{o})$ @500 nm	$(n_{e} - n_{o})$ @700 nm
This work	$0.0560 \pm 0.0007$	$0.0509 \pm 0.0006$
Shaffer [14]	0.0571	/
Singh [15]	0.0510	0.0437
Kildemo [16]	0.0573	0.0504
Wang [13]	0.0586	0.0524
Naftaly [17]	0.0615	0.0516

Publication	$(n_{e} - n_{o})$ @500 nm	$(n_{e} - n_{o})$ @700 nm
This work	$0.0451 \pm 0.0007$	$0.0366 \pm 0.0006$
Shaffer [14]	0.0435	/
Ninomiya [20]	0.0455	0.0371
Kildemo [16]	0.0475	0.0391
Baugher [21]	0.0453	0.0382
Jellison [4]	0.0448	0.0379
Ma [19]	0.0505	0.0254
Wang [13]	0.0458	0.0388

Publication	$(n_{e} - n_{o})$ @300 nm	$(n_{e} - n_{o})$ @600 nm
This work	$- 0.0090 \pm 0.0004$	$- 0.0081 \pm 0.0003$
Harman [10]	−0.0088	−0.0077
Yao [11]	−0.0058	−0.0061

Publication	$(n_{e} - n_{o})$ @500 nm	$(n_{e} - n_{o})$ @700 nm
This work	$0.0560 \pm 0.0007$	$0.0509 \pm 0.0006$
Shaffer [14]	0.0571	/
Singh [15]	0.0510	0.0437
Kildemo [16]	0.0573	0.0504
Wang [13]	0.0586	0.0524
Naftaly [17]	0.0615	0.0516

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Equations (20)

Applied Optics