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Solving the Christoffel equation: phase and group velocities

Jan Jaeken (UGent) and Stefaan Cottenier (UGent)
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Abstract
We provide christoffel, a Python tool for calculating direction-dependent phase velocities, polarization vectors, group velocities, power flow angles and enhancement factors based on the stiffness tensor of a solid. It is built in a modular way to allow for efficient and flexible calculations, and the freedom to select and combine results as desired. All derivatives are calculated analytically, which circumvents possible numerical sampling problems. GNUPlot scripts are provided for convenient visualization.

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Citation

Please use this url to cite or link to this publication:

MLA
Jaeken, Jan, and Stefaan Cottenier. “Solving the Christoffel Equation: Phase and Group Velocities.” COMPUTER PHYSICS COMMUNICATIONS 207 (2016): 445–451. Print.
APA
Jaeken, J., & Cottenier, S. (2016). Solving the Christoffel equation: phase and group velocities. COMPUTER PHYSICS COMMUNICATIONS, 207, 445–451.
Chicago author-date
Jaeken, Jan, and Stefaan Cottenier. 2016. “Solving the Christoffel Equation: Phase and Group Velocities.” Computer Physics Communications 207: 445–451.
Chicago author-date (all authors)
Jaeken, Jan, and Stefaan Cottenier. 2016. “Solving the Christoffel Equation: Phase and Group Velocities.” Computer Physics Communications 207: 445–451.
Vancouver
1.
Jaeken J, Cottenier S. Solving the Christoffel equation: phase and group velocities. COMPUTER PHYSICS COMMUNICATIONS. 2016;207:445–51.
IEEE
[1]
J. Jaeken and S. Cottenier, “Solving the Christoffel equation: phase and group velocities,” COMPUTER PHYSICS COMMUNICATIONS, vol. 207, pp. 445–451, 2016.
@article{8163462,
  abstract     = {We provide christoffel, a Python tool for calculating direction-dependent phase velocities, polarization vectors, group velocities, power flow angles and enhancement factors based on the stiffness tensor of a solid. It is built in a modular way to allow for efficient and flexible calculations, and the freedom to select and combine results as desired. All derivatives are calculated analytically, which circumvents possible numerical sampling problems. GNUPlot scripts are provided for convenient visualization.},
  author       = {Jaeken, Jan and Cottenier, Stefaan},
  issn         = {0010-4655},
  journal      = {COMPUTER PHYSICS COMMUNICATIONS},
  language     = {eng},
  pages        = {445--451},
  title        = {Solving the Christoffel equation: phase and group velocities},
  url          = {http://dx.doi.org/10.1016/j.cpc.2016.06.014},
  volume       = {207},
  year         = {2016},
}

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