Abstract

The generation of narrow Bessel beams by diffractive axicons for applications such as high-precision alignment requires resonance-domain circular-grating structures. We apply rigorous grating theory locally to determine the amplitudes and phases of all scalar components of the electromagnetic field immediately behind the diffractive element. We then employ the angular spectrum representation to compute far-zone patterns of the diffracted field and the Rayleigh–Sommerfeld formula to determine the field at finite distances in the neighborhood of the optical axis. It is shown that linearly polarized illumination causes considerable circular asymmetry in the diffraction pattern in both cases. This can be avoided by the use of either circularly polarized or unpolarized illumination.

© 1997 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
General vectorial decomposition of electromagnetic fields with application to propagation-invariant and rotating fields

Pertti Pääkkönen, Jani Tervo, Pasi Vahimaa, Jari Turunen, and Franco Gori
Opt. Express 10(18) 949-959 (2002)

Polygon approximation of the fringes of diffractive elements

Ilkka Kallioniemi, Jyrki Saarinen, Kasimir Blomstedt, and Jari Turunen
Appl. Opt. 36(28) 7217-7223 (1997)

Self-imaging of electromagnetic fields

Jani Tervo and Jari Turunen
Opt. Express 9(12) 622-630 (2001)

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 (7)

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

Tables (2)

You do not have subscription access to this journal. Article tables 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 (42)

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