Abstract
In this paper a physical picture is given of the important class of three wave parametric decay processes occurring in nonlinear optics of solids. Starting from the radiation pressure on a single particle a general expression for the ponderomotive force in dense matter at rest and in motion is derived. In a second step the formulae are applied to parametric processes of nonlinear optics and it is shown that in terms of wave pressure the quantitative analysis is much more concise, systematic and intuitive.
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References
R.P. Godwin, Phys. Rev. Letters 28, 85 (1972).
J.P. Freidberg, R.W. Mitchell, R.L. Morse, and L.I. Rudsinski, Phys. Rev. Letters 28, 795 (1972).
P. Mulser, J. Opt. Soc. Am. B 2, 1814 (1985).
P.N. Lebedev, Ann. Phys. 6, 433 (1901).
E. Nichols and G.F. Hull, Ann. Phys. 12, 225 (1903).
W. Gerlach and A. Golsen, Z. Phys. 15, 1 (1923).
H.A.H. Boot, S.A. Self, and R.B.R. Shersby-Harvie, J. Electron. Control 4, 434 (1958).
A.V. Gapunov and M.A. Miller, Soy. Phys. JETP 7, 168 (1958).
T.W.B. Kibble, Phys. Review 150, 1060 (1966).
H. Hora, D. Pfirsch, and A. Schlüter, Z. Naturforsch. 22a, 278 (1967).
F.A. Hopf, P. Meystre, M.O. Scully, and W.H. Louisell, Opt. Comm. 18, 413 (1976);
F.A. Hopf, P. Meystre, M.O. Scully, and W.H. Louisell, Phys. Rev. Letters 37, 1342 (1976).
R.W. Müller, Averaged Effect of Strong-Focusing Fields, in Annual Report GSI-88–17 (ISSN 0171–4546), Darmstadt, 1988, p. 26.
L.D. Landau and E.M. Lifshitz, Mechanics, Pergamon, Oxford, 1976; p. 93.
J. Kupersztych, Phys. Rev. Letters 54, 1385 (1985).
R.D. Brooks and Z.A. Pietrzyk, Phys. Fluids 30, 3600 (1987).
D.A. D’Ippolito and J.R. Myra, Phys. Fluids 28, 1895 (1985).
B.I. Cohen and Th.D. Rognlien, Phys. Fluids 28., 2793 (1985).
Ph.L. Similon, A.N. Kaufman, and D.D. Holm, Phys. Fluids 29, 1900 (1986).
See: The Mechanical Effects of Light, in J. Opt. Soc. Am. B2, Nr. 11 (1985), p. 1751, 1776.
E.L. Raab, M. Prentiss, A. Cable, S. Chu, and D.E. Pritchard, Phys. Rev. Letters 5. 9, 2631 (1977).
F. Diedrich, E.Peik, J.M. Chen, W. Quint, and H. Walther, Phys. Rev. Letters 59, 2931 (1987).
J. Dalibard and C. Cohen-Tanoudji, J. Opt. Soc. Am. B2, 1707 (1985).
B.W. Boreham and B. Luther-Davies, J. Appl. Phys. 50, 2533 (1979).
W. Becker, R.R. Schlicher, M.O. Scully, and K. Wodkiewicz, J. Opt. Soc. Am. B4, 743 (1987).
K. Lee, D.W. Forslund, J.M. Kindel, and E.L. Lindmann Phys. Fluids 20, 51 (1977).
C. Max and C. McKee, Phys. Rev. Letters 32, 1336 (1977).
P. Mulser and C. van Kessel, Phys. Rev. Letters 38, 902 (1977).
O. Willi and P.T. Rumsby, Opt. Comm. 31, 45 (1981).
W.B. Mori, C. Joshi, J.M. Forslund, and J.M. Kindel, Phys. Rev. Letters 60, 1298 (1988).
Such a decomposition is not unique in rigorous mathematical terms, however, the arbitrariness is small as long as the amplitude E(x) changes slowly over one wavelength and v o is much less than the phase velocity of the wave. In the opposite case the concept of ponderomotive force becomes meaningless.
L.D. Landau and E.M. Lifshitz, The Classical Theory of Fields, Pergamon, Oxford, 1980, p. 118.
M.L. Sawley, J. Plasma Phys. 32, 487 (1984).
M. Kruskal, J. Math. Phys. 3, 806 (1962).
W. Schneider, Elektronenbeschleunigung durch inhomogene Langmuirwellen hoher Amplitude, Thesis, Tech. Hochschule Darmstadt, 1984 (unpublished). Part of it is published in P. Mulser and W. Schneider, Excitation of Nonlinear Electron Plasma Waves and Particle Acceleration by Laser, in Twenty Years of Plasma Physics, B. McNamara ed., World Scientific, Philadelphia, 1985, p. 280.
W.K.H. Panowsky and Melba Phillips, Classical Electricity and Magnetism,Addison-Wesley, Reading Mass., 1962 Sec.6–6.
L.D. Landau and E.M. Lifshitz, Electrodynamics of Continuous Media, Pergamon, Oxford 1981, Secs. 15, 16.
R. Becker and F. Sauter, Electromagnetic Fields and Interactions,Dover, New York, 1982, Vol.I, Sec.35.
J.A. Stratton, Electromagnetic Theory, McGraw-Hill, New York, 1941, Sec. 2. 22.
P. Penfield and H.A. Haus, Electrodynamics of Moving Media,M.I.T. Press, Cambridge, Mass., 1967, chaps. 7 and 8.
V.P. Silin, Sov. Phys. JETP 21, 1127 (1965).
F.F. Chen, Introduction to Plasma Physics, Plenum Press, New York, 1976, p. 264.
There exists another qualitative explanation in the literature which at first glance works in the OTSI case; however, it is inconsistent and when applied to the PDI it fails. Therefore we do not follow this attempt further.
K. Nishikawa, J. Phys. Soc. Japan 24, 916 and 1152 (1968).
P. Mulser, A. Giulietti, and M. Vaselli, Phys. Fluids 27, 2035 (1984).
P. Mulser, Ponderomotive Force Effects in Laser-Plasma Interaction, in Inertial Confinement Fusion, EUR 11930 EN, eds. A. Caruso and E. Sindoni, Bologna, 1989, p. 54.
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Mulser, P. (1990). Physical Picture of Parametric Phenomena and Ponderomotive Effects in Solids. In: Keller, O. (eds) Nonlinear Optics in Solids. Springer Series on Wave Phenomena, vol 9. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84206-1_9
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DOI: https://doi.org/10.1007/978-3-642-84206-1_9
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