Elucidation of “phase difference” in Raman tensor formalism

Wei Zheng; Jingshen Yan; Fadi Li; Feng Huang

doi:doi:10.1364/PRJ.6.000709

Photonics Research, 2018, 6 (7): 07000709, Published Online: Jul. 4, 2018

Elucidation of “phase difference” in Raman tensor formalism Download： 526次

Wei Zheng ¹Jingshen Yan ¹Fadi Li ²Feng Huang ^1,*

Author Affiliations

¹ State Key Laboratory of Optoelectronic Materials and Technologies, School of Materials, Sun Yat-sen University, Guangzhou 510275, China

² Key Laboratory of Materials Physics, Institute of Solid State Physics, Chinese Academy of Sciences, Hefei 230031, China

Figures & Tables

Fig. 1. Angle-dependent polarized Raman spectra of AlN, GaN, ZnO, SiC bulk single crystals obtained on the m plane under a parallel polarization configuration for different rotation angles increasing from 0° to 180° with a step of 5°. The A1(TO), E1(TO), E22 phonons of each sample can be clearly identified. The parallel polarization configuration is written as X(αα)X¯ in shorthand, where X and X¯ denote the direction of propagation of incident and scattered lights, respectively; α represents the direction of polarization. Here, α=z·cos θ, in which θ is the angle between the polarization vector and the z axis.

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Fig. 2. Fitted A1(TO) intensity-angle relationship of four wurtzite compounds using a traditional and a new Raman tensor, respectively. The “data” in the plot refers to the original experimental data, “Fitting 1” represents the fitting result using traditional theory, while “Fitting 2” represents the result of the new theory.

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Fig. 3. Fitted phase differences and anisotropic ratios of wurtzite compounds using Eq. (3) as the Raman tensor.

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Table1. Raman Tensor Elements of Four Wurtzite Compounds Fitted from Angle-Dependent Polarized Raman Spectra Using Traditional and New Raman Tensor, Respectively^a

	Parameter	AlN	GaN	ZnO	6H-SiC
(a)	$\| a / b \|$	2.49	1.78	0.972	1.58
(a)	Phase difference ( $π$ )	0.507	0.487	0.480	0.479
(b)	$\| a / b \|$	2.46	1.77	0.984	1.57

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Wei Zheng, Jingshen Yan, Fadi Li, Feng Huang. Elucidation of “phase difference” in Raman tensor formalism[J]. Photonics Research, 2018, 6(7): 07000709.

Elucidation of “phase difference” in Raman tensor formalism Download： 526次

Fig. 3. Fitted phase differences and anisotropic ratios of wurtzite compounds using Eq. (3) as the Raman tensor.

Table1. Raman Tensor Elements of Four Wurtzite Compounds Fitted from Angle-Dependent Polarized Raman Spectra Using Traditional and New Raman Tensor, Respectively^a

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Elucidation of “phase difference” in Raman tensor formalism Download： 526次

Fig. 3. Fitted phase differences and anisotropic ratios of wurtzite compounds using Eq. (3) as the Raman tensor.

Table1. Raman Tensor Elements of Four Wurtzite Compounds Fitted from Angle-Dependent Polarized Raman Spectra Using Traditional and New Raman Tensor, Respectivelya

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Table1. Raman Tensor Elements of Four Wurtzite Compounds Fitted from Angle-Dependent Polarized Raman Spectra Using Traditional and New Raman Tensor, Respectively^a