Polarization of Light Scattered by Isotropic Opalescent Media

A general study is given of the polarization of light scattered by isotropic media whose elements of heterogeneity are not very small in comparison with the wavelength, (suspensions, colloidal solutions, solutions of large molecules, ...). This includes an extension of a theory by R. S. Krishnan, who, considering certain particular states of polarization of the incident light and applying the law of reciprocity, had proved the equality of two of the four coefficients which are to be considered in these cases. Using Stokes' linear representation of the polarization of light beams, it is shown that the scattering through a given angle and for a given wave‐length is characterized by the 16 coefficients of the linear forms which express the four polarization parameters of the scattered beam in terms of the four corresponding parameters of the incident beam and that the law of reciprocity leads to six relations between these sixteen coefficients. For an isotropic asymmetrical medium (having rotatory power), th...

[1]  L. Rayleigh,et al.  The theory of sound , 1894 .

[2]  Lord Rayleigh F.R.S. XXXIV. On the transmission of light through an atmosphere containing small particles in suspension, and on the origin of the blue of the sky , 1899 .

[3]  Rayleigh Lord,et al.  XXVIII. On the law of reciprocity in diffuse reflexion , 1900 .

[4]  G. Mie Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen , 1908 .

[5]  L. Rayleigh The Incidence of Light upon a Transparent Sphere of Dimensions Comparable with the Wave-Length , 1910 .

[6]  R. Gans,et al.  Über die Form ultramikroskopischer Goldteilchen , 1912 .

[7]  Lord Rayleigh,et al.  XLII. On the scattering of light by a cloud of similar small particles of any shape and oriented at random , 1918 .

[8]  R. Gans Ultramikroskopische Studien. (Methoden zur Formbestimmung subultramikroskopischer Teilchen) , 1920 .

[9]  Y. Rocard Théorie moléculaire de la diffusion de la lumière par les fluides. I. — On néglige le champ intermoléculaire , 1928 .

[10]  P. Soleillet Sur les paramètres caractérisant la polarisation partielle de la lumière dans les phénomènes de fluorescence , 1929 .

[11]  J. Neumann Mathematische grundlagen der Quantenmechanik , 1935 .

[12]  J. Bernamont,et al.  Fluctuations de potentiel aux bornes d'un conducteur métallique de faible volume parcouru par un courant , 1937 .

[13]  R. S. Krishnan Studies on light-scattering in emulsions , 1938 .

[14]  R. Krishnan Über die Dispersion der Depolarisation bei der Lichtstreuung in kolloiden Systemen , 1938 .

[15]  R. S. Krishnan The reciprocity theorem in colloid optics and its generalisation , 1938 .

[16]  R. S. Krishnan Reciprocity theorem in colloid optics , 1938 .

[17]  R. S. Krishnan Scattering of polarised light in colloids , 1939 .

[18]  R. S. Krishnan LI. Note on “The Theory of Light-scattering” , 1940 .

[19]  S. Parthasarathy XVII. On the theory of light-scattering , 1940 .