Using a modified form of the anomalous diffraction approximation we have been able to derive in closed form an analytic expression for the phase function of Mie scatterers integrated over an inverse power law (Junge) size distribution. The analysis explains the apparent singularity seen experimentally at the forward scattering angle. Simple relationships are also derived that relate the inverse power law as a function of scattering angle in the near forward direction to the power law of the size distribution. The parameters of the formula are the relative index of refraction and the inverse power of the size distribution. A comparison is given between the analytic formula and exact integration of the Mie scattering for spheres. This new phase function is used in the analysis of forward angle transmissometer- nephelometer data collected by DREV in the Arctic, Atlantic, and Pacific.

Date Published: 26 October 1994
PDF: 8 pages
Proc. SPIE 2258, Ocean Optics XII, (26 October 1994); doi: 10.1117/12.190063

Published in SPIE Proceedings Vol. 2258:
Ocean Optics XII
Jules S. Jaffe, Editor(s)