Abstract

The k function arises in obtaining the general solution of the eikonal equation for a homogeneous, isotropic medium and describes the shape and the structure of individual wave fronts in a wave-front train as well as the associated caustic surface. The effect that refraction by a spherical refracting surface has on this k function is examined. This general result is applied to the refraction of a train of spherical wave fronts arising from a finite object point and is illustrated by several special cases.

© 1995 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Refracting the k-function: Stavroudis’s solution to the eikonal equation for multielement optical systems

John A. Hoffnagle and David L. Shealy
J. Opt. Soc. Am. A 28(6) 1312-1321 (2011)

The point-characteristic function, wavefronts, and caustic of a spherical wave refracted by an arbitrary smooth surface

Magdalena Marciano-Melchor, Esperanza Navarro-Morales, Edwin Román-Hernández, José Guadalupe Santiago-Santiago, Gilberto Silva-Ortigoza, Ramón Silva-Ortigoza, and Román Suárez-Xique
J. Opt. Soc. Am. A 29(6) 1035-1046 (2012)

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

Equations (81)

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