Elucidation of “phase difference” in Raman tensor formalism

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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Table 1. 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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Table 1. 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
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," Photonics Res. 6, 709 (2018)

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Paper Information

Category: Nonlinear Optics

Received: Mar. 22, 2018

Accepted: May. 14, 2018

Published Online: Jul. 4, 2018

The Author Email: Feng Huang (huangfeng@mail.sysu.edu.cn)

DOI:10.1364/PRJ.6.000709

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Raman Tensor Elements of Four Wurtzite Compounds Fitted from Angle-Dependent Polarized Raman Spectra Using Traditional and New Raman Tensor, Respectivelya

Table 1. Raman Tensor Elements of Four Wurtzite Compounds Fitted from Angle-Dependent Polarized Raman Spectra Using Traditional and New Raman Tensor, Respectivelya

Table 1. Raman Tensor Elements of Four Wurtzite Compounds Fitted from Angle-Dependent Polarized Raman Spectra Using Traditional and New Raman Tensor, Respectively^a

Table 1. Raman Tensor Elements of Four Wurtzite Compounds Fitted from Angle-Dependent Polarized Raman Spectra Using Traditional and New Raman Tensor, Respectively^a