Abstract
A summary is given of techniques and results for calculating light scattering in anisotropic crystals valid for arbitrary directions of the incident beam, the scattered beam and the crystal surface normal relative to the crystal axes. A dyadic Green’s function that distinguishes ray and propagation directions leads to a scattering efficiency inside the crystal that involves the Gaussian curvature of the surface of wave normals. After taking account of the solid angle expansion, and the source volume demagnification at the crystal surface, a scattering formula is given suitable for comparison with experiments done outside the crystal. Application is made to Brillouin and Raman scattering.
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References
D. F. Nelson, P. D. Lazay and M. Lax, Phys. Rev. B6, 3109 (1972).
G. Hauret, J. P. Chapelle and L. Taurel, Phys. Stat. Sol. 11, 255 (1972).
See, for example, O. Keller, Phys. Rev. B11, 5095 (1975); see also ref. 1 for a discussion and comparison of previous theories.
M. Lax and D. F. Nelson, Phys. Rev. B4, 3694 (1971).
M. Lax and D. F. Nelson, “Crystal Electrodynamics” in Atomic Structure and Properties of Solids, E. Burstein, editor (Academic Press, New York, 1972) pp. 48–118.
See, for example, A. S. Barker and R. Loudon, Rev. Mod. Phys. 44, 18 (1972). This paper also provides an excellent review of Raman scattering calculations.
M. Lax and D. F. Nelson, in Coherence and Quantum Optics, L. Mandel and E. Wolf, editors (Plenum Press, New York, 1973) p.415.
H. Kogelnik, J. of Research, Nat’l Bureau of Standards, Div. of Radio Propagation 64D, 515 (1960).
H. Kogelnik and H. Motz, Symposium on Electromagnetic Theory and Antennas, Copenhagen, 1962 (Pergamon, New York, 1963) p. 477.
M. J. Lighthill, Phil. Trans. Roy. Soc. (London) A252, 397 (1960).
G. P. Motulevich, Trudy Fiz. Inst. P. N. Lebedev 5, 9–62 (1950); see
I. L. Fabelinskii, Molecular Scattering of Light, (Plenum Press, New York, 1968) pp 139.
V. L. Ginzburg Zh. Eksp. i Teor. Fiz 10, 601 (1940).
M. Lax and D. F. Nelson, Comment on Keller’s Theory of Brillouin Scattering, Phys. Rev. B, submitted.
M. Lax and D. F. Nelson, in Polaritons, edited by E. Burstein and F. De Martini (Pergamon, New York, 1974) pp 27-40.
M. Lax and D. F. Nelson, J. Opt. Soc. of Amer. 65, 68 (1975).
M. Lax and D. F. Nelson, “Imaging Through a Surface of An Anisotropic Medium with Application to Light Scattering”, J. Opt. Soc. of Amer., submitted.
See for example, M. Lax, “Fluctuations and Coherence Phenomena in Classical and Quantum Physics” in Statistical Physics, Phase Transitions and Superfluidity, edited by M. Chretien, E. P. Gross and S. Deser, (Gordon and Breach Science Publishers, New York, 1968), Vol. II, pp 270–478, especially Eqs. (4A3) and (4A4).
M. Lax, Symmetry Principles in Solid State and Molecular Physics, (John Wiley, New York, 1974), Eqs. (11.2.13), (11.2.29).
D. F. Nelson and P. D. Lazay, Phys. Rev. Letters 25, 1187 (1970); 25, 1638 (1970).
M. Lax, J. Phys. Chem. Solids, 25, 487 (1964).
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© 1976 Plenum Press, New York
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Lax, M., Nelson, D.F. (1976). Light Scattering in Crystals with Surface Corrections. In: Bendow, B., Birman, J.L., Agranovich, V.M. (eds) Theory of Light Scattering in Condensed Matter. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-4301-1_32
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DOI: https://doi.org/10.1007/978-1-4613-4301-1_32
Publisher Name: Springer, Boston, MA
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