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Beam nonparaxiality, filament formation, and beam breakup in the self-focusing of optical beams
Abstract
The paraxial wave equation, as is well known, predicts the catastrophic collapse of self-focusing beams. It is pointed out that this collapse is due to the loss of validity of the paraxial wave equation in the neighborhood of a self-focus. If nonparaxiality of the beam propagation is taken into account, on the other hand, a lower limit of the order of one optical wavelength is imposed on the diameter of a self-focus. A nonparaxial algorithm for the Helmholtz equation is applied to the self-focusing of Gaussian and ring-shaped beams. The self-focusing is noncatastrophic, and the results give insight into filament formation and beam breakup resulting from the self-focusing of optical beams.
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Citations
Cited by
Wave collapse in physics: principles and applications to light and plasma waves
Bergé, L. (1998) · Physics Reports · doi:10.1016/s0370-1573(97)00092-6 · Cited by 835
Nonlinear optical pulse propagation simulation: From Maxwell’s to unidirectional equations
Kolesik, M., & Moloney, J. V. (2004) · Physical Review E · doi:10.1103/physreve.70.036604 · Cited by 607
Observation of Two-Dimensional Spatial Solitary Waves in a Quadratic Medium
Torruellas, W. E., Wang, Z., Hagan, D. J., VanStryland, E. W., Stegeman, G. I., Torner, L., & Menyuk, C. R. (1995) · Physical Review Letters · doi:10.1103/physrevlett.74.5036 · Cited by 577
Self-focusing and guiding of short laser pulses in ionizing gases and plasmas
Esarey, E., Sprangle, P., Krall, J., & Ting, A. (1997) · IEEE Journal of Quantum Electronics · doi:10.1109/3.641305 · Cited by 500
Metadata
- Authors
- Feit, M. D., & Fleck, J. A.
- Venue
- Journal of the Optical Society of America B
- Publisher
- Optica Publishing Group
- Published
- 1988-03-01
- Volume
- 5
- Issue
- 3
- Pages
- 633
- ISSN
- 0740-3224 (ISSN-L)
- 1520-8540
- OpenAlex
- W2150396669
- Cited by
- 333
- References
- 0
- FWCI
- 4.94
- Type
- journal article
- Language
- en
- Open access
- closed
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- Feit, M. D., & Fleck, J. A. (1988). Beam nonparaxiality, filament formation, and beam breakup in the self-focusing of optical beams. Journal of the Optical Society of America B. https://doi.org/10.1364/josab.5.000633
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