Accession Number : AD0602902

Title :   THEORETICAL INVESTIGATIONS ON THE LIGHT SCATTERING OF SPHERES. XVI. RANGE OF PRACTICAL VALIDITY OF THE RAYLEIGH THEORY.

Descriptive Note : Technical rept. no. 9 55,

Corporate Author : WAYNE STATE UNIV DETROIT MICH

Personal Author(s) : Heller,Wilfried

Report Date : 14 JUL 1964

Pagination or Media Count : 32

Abstract : The errors committed on using the Rayleigh equations of light scattering at finite alpha-values were evaluated numerically for spherical nonabsorbing particles using exact Mie-data as the reference. Considering an error of 2% as the tolerable maximum, the upper limiting particle diameters which may be evaluated by means of the Rayleigh equations are, expressed in units relative to the wave length (in the medium) used, 0.124and0.207 at m = 1.00 and 1.30 respectively. The errors committed on evaluating turbidity or lateral scattering from the Rayleigh equations are distinctly larger at identical true alpha-values, and at identical m-values. The interesting fact that the Rayleigh equations perform better the larger m- as long as m < approx. 1.8-opens up the possibility of using these equations for the evaluation of relative large particle diameters provided m is sufficiently large. This 'second' range of validity of the Rayleigh theory appears to be of major meteorological and astrophysical interest. (Author)

Descriptors :   (*LIGHT, SCATTERING), OPTICAL PHENOMENA, THEORY, ERRORS, NUMERICAL ANALYSIS, PARTICLE SIZE, SPHERES, METEOROLOGY, ASTRONOMY

Distribution Statement : APPROVED FOR PUBLIC RELEASE