Wave dislocation reactions, for example, one dislocation splitting into three, are organized by dislocations of higher order. A reaction can be regarded as an unfolding of a higher-order dislocation, rather as singularities in catastrophe theory unfold into clusters of lower-order ones. The paper lists the forms of the first few higher-order wave dislocations. It shows how the reaction reported by Karman et al. [Opt. Lett. 22, 1503 (1997)], in which an Airy dark ring surrounding a focus splits into three, followed by the annihilation of an inner fourth ring by the central ring, is part of the unfolding of a fourth-order dislocation.

© 1998 Optical Society of America

[Optical Society of America ]

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
Log in to access OSA Member Subscription

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
Log in to access OSA Member Subscription

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
Log in to access OSA Member Subscription

Related Journal Articles

• Time-asymptotic approximations of cylindrical focus wave modes (JOSAA)
• Exact and approximate solutions for focusing of two-dimensional waves. I. Theory (JOSAA)
• Exact and approximate solutions for focusing of two-dimensional waves. II. Numerical comparisons among exact, Debye, and Kirchhoff theories (JOSAA)
• Exact and approximate solutions for focusing of two-dimensional waves. III. Numerical comparisons between exact and Rayleigh–Sommerfeld theories (JOSAA)
• Ball-Lens Coupling Efficiency for Laser-Diode to Single-Mode Fiber: Comparison of Independent Studies by Distinct Methods (AO)

Related Conference Papers

• Nanostructuring of transparent materials by light
• Negative Refraction and Sub-Wavelength Imaging Through Surface Waves on Periodically Structured Metal Surface
• Negative Refraction and Sub-Wavelength Imaging Through Surface Waves on Periodically Structured Metal Surface
• Observation of Higher-Band Defect Modes in Two-Dimensional Photonic Lattices
• Subdiffraction Focusing of Scanning Beams by Combined Nonlinear and Negative-Refraction Layers