Abstract
Dispersion theory of linear and nonlinear susceptibilities are considered with the aid of complex analysis.
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R. De. L. Kronig: J. Opt. Soc. Am. Rev. Sci. Instrum. 12 (1926) 547.
H.A. Kramers: Estratto dagli Atti del Congresso Internatzionale de Fisici Como, Bologna 2 (1927) 545.
R. De L. Kronig: Ned. Tijdschr. Natuurkd. 9 (1942) 402.
L.D. Landau and E.M. Lifschitz: Electrodynamics of Continuous Media (Addison-Wesley, Reading, MA, 1960).
D.Y. Smith: Theoretical Aspects and New Developments in Magneto-Optics, ed. J.T. Deversee (Plenum, New York, 1980).
D.Y. Smith: Handbook of Optical Constants of Solids, ed. E.D. Palik (Academic Press, Orlando, 1985).
J.S. Toll: Phys. Rev. 104 (1956) 1760.
A. Sommerfeld: Ann. Phys. 44 (1914) 177.
L. Brillouin: Ann. Phys. 44 (1914) 203.
S.M. Kogan: Sov. Phys. JETP16 (1963) 217.
P.J. Price: Phys. Rev. 130 (1963) 1792.
W.L. Gaspers: Phys. Rev. 133 (1964) A1249.
F.L. Ridener and R.H. Good Jr.: Phys. Rev. B. 10 (1974)
F. Smet and P. Smet: II Nuovo Cim. B. 20 (1974) 273.
F. Smet and A. Groenendahl: Phys. Rev. A. 19 (1979) 334.
K.-E. Peiponen: Phys. Rev. B. 35 (1987) 4116.
K.-E. Peiponen: Phys. Rev. B. 37 (1988) 6463.
F. Bassani and S. Scandolo: Phys. Rev. B. 44 (1991) 8446.
P.P. Kircheva and G.B. Hadjichristov: J. Phys. B: Mol. Opt. Phys. 27 (1994) 3781.
D.C. Hutchings, M. Sheik-Bahae, D.J. Hagan and E.W. Van Stryland: Opt. Quantum Electron. 24 (1992) 1.
H. Kishida, T. Hasegawa, Y. Iwasa, T. Koda and Y. Tokura: Phys. Rev. Lett. 70 (1993) 3724.
M. Altarelli, D.L. Dexter, H.M. Nussenzveig and D.Y. Smith: Phys. Rev. B. 6 (1972) 4502.
M. Altarelli and D.Y. Smith: Phys. Rev. B. (1974) 1290.
K.-E. Peiponen: J. Phys. C: Solid State Phys. 20 (1987) L285.
K.-E. Peiponen: J. Phys. C: Solid State Phys. 20 (1987) 2785.
S. Scandolo and F. Bassani: Phys. Rev. B. 45 (1992) 13257.
Y. Yariv: Quantum Electronics (Wiley, New York, 1988) 3rd ed.
E. Tokunaga, A. Terasaki and T. Kobayashi: Phys. Rev. A. 47 (1993) R4581.
E. Tokunaga, A. Terasaki and T. Kobayashi: J. Opt. Soc. Am. B. 12 (1995) 753.
E.M. Vartiainen and K.-E. Peiponen: Phys. Rev. B. 50 (1994) 1941.
F. Woolen: Optical Properties of Solids (Academic Press, New York, 1972).
G. Arfken: Mathematical Methods for Physicists, (Academic Press, New York, 1970) 2nd ed.
N. Bloembergen: Nonlinear Optics (Benjamin, Reading, Massachusetts, 1977) 2nd ed.
T.P. McLean: Interaction of Radiation with Condensed Matter Vol. 1 (International Atomic Energy Agency, Vienna, 1977).
Y.R. Shen: The Principles of Nonlinear Optics (Wiley, New York, 1984).
J.-L. Oudar and Y.R. Shen: Phys. Rev. A. 22 (1980) 1141.
F. Remade and R.D. Levine: J. Chem. Phys. 99 (1993) 4908.
F.A. Hopf and G.I. Stegeman: Applied Classical Electrodynamics, Nonlinear Optics (Wiley, New York, 1986).
H. Silverman: Complex Variables (Houghton Miffin, Boston, 1975).
M.O. Gonzales: Complex Analysis: Selected Topics (Marcel Dekker, New York, 1992).
R. Narasimhan: Complex Analysis in One Variable (Birkhöuser, Boston, 1985).
F.W. King: J. Opt. Soc. Am. 68 (1978) 994.
K.-E. Peiponen, E.M. Vartiainen and T. Tsuboi: Phys. Rev. A. 41 (1990) 527.
E.M. Vartiainen, K.-E. Peiponen and T. Tsuboi: J. Opt. Soc. Am. B. 7 (1990) 722.
R. Nevanlinna: Analytic Functions (Springer-Verlag, Berlin, 1970).
F.W. King: J. Math. Phys. 17 (1976) 1509.
F.W. King: J. Chem. Phys. 71 (1979) 4726.
S. Haykin and S. Kesler: Nonlinear Methods of Spectral Analysis ed. S. Haykin (Springer-Verlag, Berlin, 1983).
E.M. Vartiainen, T. Asakura and K.-E. Peiponen: Opt. Commun. 104 (1993) 149.
E.M. Vartiainen, K.-E. Peiponen and T. Asakura: Appl. Spectrosc. 50 (1996) 1283.
E.M. Vartiainen, K.-E. Peiponen, H. Kishida and T. Koda: J. Opt. Soc. Am. B 13 (1996) 2106.
S.-Y. Lee: Chem. Phys. Lett. 245 (1995) 620.
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Peiponen, KE., Vartiainen, E.M. & Asakura, T. Complex Analysis in Dispersion Theory. OPT REV 4, 433–441 (1997). https://doi.org/10.1007/s10043-997-0433-2
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DOI: https://doi.org/10.1007/s10043-997-0433-2