Abstract

A description is given of axicons obtained as a tandem of one diverging lens that has third-order spherical aberration and one perfect converging lens. The asymptotic representation obtained with the help of the nonuniform stationary phase method allows the determination of such principal features of the focal segment as the intensity distribution and the width of the central core along the optical axis. The obtained results are compared with the numerical evaluation of the corresponding diffraction integral. The analyzed system contains four special cases: the doublet of both lenses, the setup of the perfect converging lens placed in the front of the aberrated diverging lens, the setup of the aberrated diverging lens placed in the primary focal plane of the perfect converging lens, and the defocused Galilean telescope. A short discussion of the aberrated-lens bending factor as well as of choice of the most convenient system geometry is also included.

© 1998 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 (4)

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 (51)

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