Explicit analytical expressions to represent the radiative properties of spherical particles in the small size-parameter range were obtained. These expressions were deduced following Penndorf’s approach of expanding the Mie coefficients in power series on the size parameter. However, in opposition to Penndorf’s original work—in which some errors were found and corrected—the Mie coefficients were expanded to the eighth power of the size parameter, which results in a five-term approximation to the extinction and scattering efficiencies. Also, expressions for the evaluation of the asymmetry factor and both polarized and unpolarized phase functions were deduced and presented. The results so obtained have proved to be very accurate, even for size parameters beyond the limit of validity of the approach utilized.

© 2001 Optical Society of America

[Optical Society of America ]

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
Log in to access OSA Member Subscription

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
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Article level metrics 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
Log in to access OSA Member Subscription

Related Journal Articles

• Anomalous Diffraction Theory for Arbitrarily Oriented Finite Circular Cylinders and Comparison with Exact T-Matrix Results (AO)
• Electromagnetic Scattering by an Aggregate of Spheres: Errata (AO)
• Inversion of Particle-Size Distribution from Angular Light-Scattering Data with Genetic Algorithms (AO)
• Size Parameter for Thermally Emitting Particles (AO)
• Size parameter for thermally emitting particles: erratum (AO)

Related Conference Papers

• The Effect of Disorder on Band Gaps in Two-Dimensional Quasi-Periodic Photonic Crystals
• The Effect of Disorder on Band Gaps in Two-Dimensional Quasi-Periodic Photonic Crystals
• Quasiperiodic Photonic Crystals: A Structure between Random and Periodic
• Diffusely backscattered polarized light Mueller matrix imaging of a turbid medium
• Equiphase-sphere approximation for characterizing light scattering by particles with complex geometries