Abstract

The Mie theory of light scattering by a spherical isotropic particle of any radius is briefly described. Equations are given for the angular distribution of intensity, and for the total energy scattered by transparent particles or scattered and absorbed by absorbing particles. It is shown experimentally and by comparison of the equations that both the Mie and the Rayleigh equations for the angular distribution of intensity yield results which are too great by a factor of two when the particle is illuminated by natural light.

Graphs are included giving some of the results of a recently published series of scattering calculations made by The Mathematical Tables Project of the National Bureau of Standards.

A second factor of two occurs in the measurement of the scattering cross section of very large spheres where scattering becomes analogous to diffraction. It is shown theoretically that when the radius of the sphere is at least 25 times the wave-length the scattering cross section is equal to twice the geometric cross section. This result is confirmed experimentally when the observation is made at a distance from the sphere large enough so that the diffracted light is excluded from the measuring device.

© 1947 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Multiple Light Scattering by Spherical Dielectric Particles*

David H. Woodward
J. Opt. Soc. Am. 54(11) 1325-1331 (1964)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (1)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (10)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription