Abstract

Computer simulations and analytical calculation are used to study the geometry of level crossings of the real and the imaginary parts of wave functions and their spatial derivatives at the critical points of these functions, the intensity, and the phase. Zero-crossing maps that locate these critical points are presented, and topological constraints that determine the ordering of the critical points along the zero crossings are reviewed. Available theoretical calculations of the critical point number densities are also reviewed and are compared with measured data from the simulations. Quantitative results are given for the directions of the level crossings, their radii and centers of curvature, and the structure of the bifurcation lines of saddle points. Correlations between these quantities are also discussed.

© 1997 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Critical-point screening in random wave fields

Isaac Freund and Michael Wilkinson
J. Opt. Soc. Am. A 15(11) 2892-2902 (1998)

Level-crossing densities in random wave fields

David A. Kessler and Isaac Freund
J. Opt. Soc. Am. A 15(6) 1608-1618 (1998)

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 (13)

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 (64)

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