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An accurately fast algorithm of calculating reflection/transmission coefficients

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Abstract

For the boundary between transversely isotropic media with a vertical axis of symmetry (VTI media), the interface between a liquid and a VTI medium, and the free-surface of an elastic half-space of a VTI medium, an accurately fast algorithm was presented for calculating reflection/transmission (R/T) coefficients. Specially, the case of post-critical angle incidence was considered. Although we only performed the numerical calculation for the models of the VTI media, the calculated results can be extended to the models of transversely isotropic media with a horizontal axis of rotation symmetry (HTI media). Compared to previous work, this algorithm can be used not only for the calculation of R/T coefficients of the boundary between ellipsoidally anisotropic media, but also for that between generally anisotropic media, and the speed and accuracy of this algorithm are faster and higher. According to the anisotropic parameters of some rocks given by the published literature, we performed the calculation of R/T coefficients by using this algorithm and analyzed the effect of the rock anisotropy on R/T coefficients. We used Snell’s law and the energy balance principle to perform verification for the calculated results.

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Authors and Affiliations

  1. Department of Electronics and Information Engineering, Xi’an Institute of Post and Telecommunications, Xi’an, 710121, China

    Lin Fa

  2. Department of Earth and Atmospheric Sciences, University of Houston, 4800 Calhoun Rd., Houston, TX, 77004, USA

    J. P. Castagna

  3. Department of Electronics and Telecommunications, Norwegian University of Science and Technology, NO-7491, Trondheim, Norway

    HeFeng Dong

Authors
  1. Lin Fa
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  2. J. P. Castagna
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  3. HeFeng Dong
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Correspondence to Lin Fa.

Additional information

Supported by the Natural Science Foundation of Shaanxi Province, China (Grant No. 2007D15)

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Fa, L., Castagna, J.P. & Dong, H. An accurately fast algorithm of calculating reflection/transmission coefficients. Sci. China Ser. G-Phys. Mech. Astron. 51, 823–846 (2008). https://doi.org/10.1007/s11433-008-0076-8

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  • DOI: https://doi.org/10.1007/s11433-008-0076-8

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