Abstract

The exact solution for scattering from cylindrical objects is compared with the following weak-scattering models: the first Born approximation, the Rytov approximation, the straight-ray model of geometric optics, and ray tracing. Computer calculations of the various approximate and the exact virtual fields at the center of a transparent cylinder are compared in order to find the practical limitations of the various approximations with respect to cylinder radii and indices of refraction. It is found that the Rytov approximation introduces a phase error that increases linearly with the cylinder radius. The straight-ray model yields better results than the first Rytov approximation for all cylinder radii and real indices of refraction, even at the edges. The first Born approximation is best for cylinders with radii less than a wavelength.

© 1995 Optical Society of America

Full Article  |  PDF Article

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 (11)

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 (43)

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

Metrics

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
Login to access OSA Member Subscription