• Photonics Research
  • Vol. 6, Issue 7, 709 (2018)
Wei Zheng1, Jingshen Yan1, Fadi Li2, and Feng Huang1、*
Author Affiliations
  • 1State Key Laboratory of Optoelectronic Materials and Technologies, School of Materials, Sun Yat-sen University, Guangzhou 510275, China
  • 2Key Laboratory of Materials Physics, Institute of Solid State Physics, Chinese Academy of Sciences, Hefei 230031, China
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    DOI: 10.1364/PRJ.6.000709 Cite this Article Set citation alerts
    Wei Zheng, Jingshen Yan, Fadi Li, Feng Huang. Elucidation of “phase difference” in Raman tensor formalism[J]. Photonics Research, 2018, 6(7): 709 Copy Citation Text show less
    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.
    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·cosθ, in which θ is the angle between the polarization vector and the z axis.
    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.
    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.
    Fitted phase differences and anisotropic ratios of wurtzite compounds using Eq. (3) as the Raman tensor.
    Fig. 3. Fitted phase differences and anisotropic ratios of wurtzite compounds using Eq. (3) as the Raman tensor.
     ParameterAlNGaNZnO6H-SiC
    (a)|a/b|2.491.780.9721.58
    Phase difference (π)0.5070.4870.4800.479
    (b)|a/b|2.461.770.9841.57
    Table 1. Raman Tensor Elements of Four Wurtzite Compounds Fitted from Angle-Dependent Polarized Raman Spectra Using Traditional and New Raman Tensor, Respectivelya
    Wei Zheng, Jingshen Yan, Fadi Li, Feng Huang. Elucidation of “phase difference” in Raman tensor formalism[J]. Photonics Research, 2018, 6(7): 709
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