Abstract

By using the Richards–Wolf vector diffraction theory, the formulas of the propagation of a linearly polarized, partially coherent anomalous hollow beam (AHB) through a high numerical aperture (NA) thin lens are derived. The tight focusing properties of a partially coherent AHB, including the degree of polarization, the intensity distribution, and the degree of coherence, are studied in detail. It is found that the focusing properties of a partially coherent AHB are closely determined by the initial coherence, initial beam parameters, and NA of the thin lens. However, no matter how high the value of eccentricity, the initial beam will reduce to a Gaussian beam of quasi-circular symmetry at the focal plane. No matter the value of NA, the size of the beam will remain invariant, which is an interesting phenomenon, and the beam has good stability. The results may find application in optical trapping with a partially coherent field.

© 2014 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
An alternative theoretical model for an anomalous hollow beam

Yangjian Cai, Zhaoying Wang, and Qiang Lin
Opt. Express 16(19) 15254-15267 (2008)

Tight focusing of partially coherent and circularly polarized vortex beams

Baosuan Chen, Zhiming Zhang, and Jixiong Pu
J. Opt. Soc. Am. A 26(4) 862-869 (2009)

Degree of polarization in tightly focused optical fields

Klas Lindfors, Tero Setälä, Matti Kaivola, and Ari T. Friberg
J. Opt. Soc. Am. A 22(3) 561-568 (2005)

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 (10)

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 (14)

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