Coherent potential approximation
In Physics the Coherent Potential Approximation commonly referred to simply as the CPA is a method to find the Green's function of an effective medium. The CPA is a useful concept in understanding how waves scatter in a material which displays spatial inhomogeneity.
One version of the CPA is an extension to random materials of the muffin-tin approximation used to calculate electronic band structure in solids. A variational implementation of the muffin-tin approximation to crystalline solids using Green's functions was suggested by Korringa and by Kohn and Rostocker, and is often referred to as the KKR method.[1][2] For random materials, the theory is applied by introduction of an ordered lattice of effective potentials replacing the varying potentials in the random material. This approach is called the KKR coherent potential approximation.[3]
References
- ^ Joginder Singh Galsin (2001). Impurity Scattering in Metal Alloys. Springer. p. Appendix C. ISBN 0306465744.
- ^ Kuon Inoue, Kazuo Ohtaka (2004). Photonic Crystals. Springer. p. p. 66. ISBN 3540205594.
{{cite book}}:|page=has extra text (help) - ^ Yukinobu Kumashiro (2000). Electric Refractory Materials. CRC Press. p. p. 122. ISBN 082470049X.
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Further reading
- Sheng, Ping (1995). Introduction to Wave Scattering, Localization, and Mesoscopic Phenomena. Academic Press. ISBN 0-12-639845-3.
- Yonezawa and Morigaki (1973). "Coherent Potential Approximation: Basic concepts and applications". Progress of Theoretical Physics, Supplement number 53. 14: 1–76. doi:10.1016/0003-4916(61)90051-3.
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