Abstract
We examine the linear and cubic optical polarizations of the degenerate electron gas in spherical metallic particles. For photon energies that are high compared to the splitting of the spectrum of electron states we use a unified approach to calculate the dimensional (size, or quantum) and Drude parts of the polarization and the variation of energy distribution of the electrons induced by a field.
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References
J. C. Maxwell-Garnett, Philos. Trans. R. Soc. London 203, 385 (1904); 205, 237 (1906).
G. Mie, Ann. Phys. (Leipzig) 25, 377 (1908).
V. L. Ginzburg and G. P. Motulevich, Usp. Fiz. Nauk 55, 469 (1955).
A. Kabawata and R. Kubo, J. Phys. Soc. Jpn. 21, 1765 (1966).
L. P. Gor’kov and G. M. Éliashberg, Zh. Éksp. Teor. Fiz. 48, 1407 (1965) [Sov. Phys. JETP 21, 940 (1965)].
F. Hache, D. Ricard, and C. Flytzanis, J. Opt. Soc. Am. B3, 1647 (1986).
N. Bloembergen, Nonlinear Optics, W. A. Benjamin, New York (1965).
N. B. Delone and V. P. Krainov, Atoms in Strong Light Fields, Springer, Berlin (1985).
Yu. A. Il’inskii and L. V. Keldysh, Electromagnetic Response of Material Media, Plenum, New York (1994).
F. V. Bunkin, Zh. Éksp. Teor. Fiz. 50, 1685 (1966) [Sov. Phys. JETP 23, 1121 (1966)].
V. M. Galitskii, B. M. Karnakov, and V. I. Kogan, Problems in Quantum Mechanics [in Russian], Nauka, Moscow (1981).
I. I. Sobelman, Introduction to the Theory of Atomic Spectra, Pergamon Press, Oxford (1973); Atomic Spectra and Radiative Transitions, Springer, Berlin (1979).
S. G. Rautian, G. I. Smirnov, and A. M. Shalagin, Nonlinear Resonances in the Spectra of Atoms and Molecules [in Russian], Nauka, Novosibirsk (1979).
S. G. Rautian and A. M. Shalagin, Kinetic Problems of Non-linear Spectroscopy, North-Holland, Amsterdam (1991).
A. R. Edmonds, Angular Momentum in Quantum Mechanics, Princeton Univ. Press, Princeton, N.J. (1957).
M. I. D’yakonov and V. I. Perel’, Zh. Éksp. Teor. Fiz. 47, 1483 (1964) [Sov. Phys. JETP 20, 997 (1965)].
D. A. Varshalovich, A. N. Moskalev, and V. K. Khersonskii, Quantum Theory of Angular Momentum, World Scientific, Singapore (1987).
L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Non-relativistic Theory, 3rd ed., Pergamon Press, Oxford (1977).
A. Erdélyi, Higher Transcendental Functions, (Bateman Project) Vol. 1, McGraw-Hill, New York (1953).
E. T. Whittaker and G. N. Watson, A Course of Modern Analysis, 4th edn., Cambridge Univ. Press, Cambridge (1944).
Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun, National Bureau of Standards Applied Mathematics Series 55, Washington, D.C. (1964).
L. D. Landau and E. M. Lifshitz, Statistical Physics, Part 1, 3 rd ed., Pergamon Press, Oxford (1980).
A. H. Wilson, The Theory of Metals, 2nd edn., Cambridge Univ. Press, Cambridge (1954).
M. I. Kaganov, I. M. Lifshits, and L. V. Tanatarov, Zh. Éksp. Teor. Fiz. 31, 232 (1956) [Sov. Phys. JETP 4, 173 (1957)].
E. M. Lifshitz and L. P. Pitaevskii, Physical Kinetics, Pergamon Press, Oxford (1981).
R. N. M. Groeneveld, R. Sprik, and A. Lagendijk, Phys. Rev. B 51, 11 433 (1995).
J.-Y. Bigot, J.-C. Merle, O. Cregut, and A. Daunois, Phys. Rev. Lett. 75, 4702 (1995).
R. Karplus and J. Schwinger, Phys. Rev. 73, 1020 (1948).
L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media, Pergamon Press, Oxford (1984).
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Zh. Éksp. Teor. Fiz. 112, 836–855 (September 1997)
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Rautian, S.G. Nonlinear saturation spectroscopy of the degenerate electron gas in spherical metallic particles. J. Exp. Theor. Phys. 85, 451–461 (1997). https://doi.org/10.1134/1.558330
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DOI: https://doi.org/10.1134/1.558330