Abstract
A general equation is proposed for the dynamical electric permittivity tensor, taking into account, besides frequency dispersion, spatial dispersion describing the linear and non-linear optical activities of the medium. It permits one to determine the symmetry relations and value of the optical Kerr effect, a generalised Havelock relation, and the non-linear change in optical rotation angle for arbitrary conditions of observation. Simple examples are adduced to give a microscopic interpretation of the results derived, rendering apparent the basic mechanisms (fluctuations of density, non-linear changes in the optical polarisability tensor and gyration tensor, molecular reorientation, and various radial and angular correlations) leading to induced optical non-linearities. Measurements of non-linear changes in optical rotation angle are shown to be promising in solutions of polymers or colloids, and will permit,inter alia, direct determinations of the anisotropy of gyration properties of molecules macromolecules and colloid particles.
Similar content being viewed by others
References
M. Born, “Optik” (Springer, Berlin, 1933).
M. V. Volkenshteyn, “Molekularnaya Optika” (Gostekhizdat, Moscow, 1951).
P. Langevin,Radium (Paris) 7 (1910) 249.
A. D. Buckingham,Proc. Phys. Soc. B,69 (1956) 344–349.
S. Kielich andA. Piekara,Acta Phys. Polonica 18 (1959) 439–471.
G. Mayer andF. Gires,C.R. Acad. Sci., Paris 258 (1964) 2039–2042.
M. Paillette,C.R. Acad. Sci., Paris,B 262 (1966) 264;266 B (1968) 920–922.
P. D. Maker andR. W. Terhune,Phys. Rev. 137 (1965) A801–818.
C. C. Wang,Phys. Rev. 152 (1966) 149–156.
F. Shimizu,J. Phys. Soc. Japan 22 (1967) 1070–1077.
S. A. Akhmanov andR. V. Khokhlov, “Problemy Nyelineynoy Optiki” (Akad. Nauk SSSR, Moscow, 1964);N. Bloembergen, “Nonlinear Optics” (W. A. Benjamin, New York, 1965).
J. A. Armstrong, N. Bloembergen, J. Ducuing, andP. S. Pershan,Phys. ReV. 127 (1962) 1918–1939.
S. Kielich,Proc. Phys. Soc. 86 (1965) 709–725.
Idem, Acta Phys. Polonica 29 (1966) 875–898.
J. A. Giordmaine,Phys. Rev. 138 (1965) A1599–1606.
P. M. Rentzepis, J. A. Giordmaine andK. W. Wecht,Phys. Rev. Lett. 16 (1966) 792–794.
N. V. Cohan andH. F. Hameka,J. Chem. Phys. 45 (1966) 3825–3826.
H. Rabin andP. B. Bey,Phys. Rev. 156 (1967) 1010–1016;162 (1967) 794–800.
H. J. Simon andN. Bloembergen,Phys. Rev. 171 (1968) 1104–1114.
S. A. Akhmanov andV. I. Zharikov,JETP Lett. 6 (1967) 137–140;S. A. Akhmanov andR. V. Khokhlov,Usp. Fiz. Nauk. 95 (1968) 231–247.
S. Kielich,Phys. Lett. 25A (1967) 517–518;Acta Phys. Polonica 35 (1969) 861–862.
P. W. Atkins andL. D. Barron,Proc. Roy. Soc. A.304 (1968) 303–317;A. 306 (1968) 119–134.
S. Kielich,Proc. Phys. Soc. 90 (1967) 847–858.
J. G. Kirkwood,J. Chem. Phys. 5 (1937) 479–491.
R. H. Terwiel andP. Mazur,Physica 30 (1964) 625–664.
W. J. A. Maaskant andL. J. Oosterhoff,Molecular Physics 8 (1964) 319–344.
G. H. A. Cole, “The Statistical Theory of Classical Simple Dense Fluids” (Pergamon Press, Oxford, 1967).
M. Smoluchowski,Ann. Phys. 25 (1908) 205–226.
Y. R. Shen andY. J. Shaham,Phys. Rev. 163 (1967) 224–231.
S. Kielich,Acta Phys. Polonica 34 (1968) 1093–1104.
Idem, ibid. 30 (1966) 683–707;31 (1967) 689–713.
M. Takatsuji,Phys. Rev. 165 (1968) 171–177; Erratum172 (1968) 241.
S. Kielich,IEEE J. Quantum Electronics QE-4 (1968) 744–752.
A. D. Buckingham andB. J. Orr,Quarterly Reviews 21 (1967) 195–212.
H. G. Kubal andR. Gob,Z. Naturforschg. 22a (1967) 737–745;Z. physik. Chem. 62 (1968) 237–255.
G. H. Meeten,Trans. Faraday Soc. 64 (1968) 2267–2272.
S. H. Lin, C. Y. Lin, andH. Eyring,J. Phys. Chem. 70 (1966) 1756–1761.
M. Takatsuji,Phys. Rev. 155 (1967) 980–986.
N. Bloembergen andP. Lallemand,Phys. Rev. Lett. 16 (1966) 81–84;N. Bloembergen,Am. J. Phys. 35 (1967) 989–1023.
R. Pecora,J. Chem. Phys. 50 (1969) 2650–2656.
Y. N. Chiu,ibid. 50 (1969) in the press.
S. Kielich,Acta Phys. Polonica 32 (1967) 405–419.
M. Paillette,C.R. Acad. Sci., Paris 267 B (1968) 29–31.
A. P. Veduta andB. P. Kirsanov,Zh. Eksperim i Teor. Fiz. 54 (1968) 1374.
F. Gires, Thesis, Paris (1968).
M. Paillette,C.R. Acad. Sci., Paris,267B (1968) 882–885.
R. G. Brewer andC. H. Lee,Phys. Rev. Lett. 21 (1968) 267–270.
B. Kasprowicz andS. Kielich,Acta Phys. Polonica 33 (1968) 495–498.
F. Kaczmarek,ibid,32 (1967) 1003–1022.
S. Kielich,Chem. Phys. Lett. 1 (1968) 675–677;J. Colloid Interface Sci. 27 (1968) 432–441;28 (1968) 214–218.
Author information
Authors and Affiliations
Additional information
A brief summary of the contents is to be found in the Review of the International Quantum Electronics Conference held at Miami on 14–17 May 1968, published inIEEE J. Quantum Electronics,QE-4 (1968) 330.
Rights and permissions
About this article
Cite this article
Kielich, S. Laser beam-induced non-linear effects in optically active media. Opto-electronics 1, 75–87 (1969). https://doi.org/10.1007/BF01418100
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01418100