The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Parabolic nondiffracting optical wave fields
Abstract
We demonstrate the existence of parabolic beams that constitute the last member of the family of fundamental nondiffracting wave fields and determine their associated angular spectrum. Their transverse structure is described by parabolic cylinder functions, and contrary to Bessel or Mathieu beams their eigenvalue spectrum is continuous. Any nondiffracting beam can be constructed as a superposition of parabolic beams, since they form a complete orthogonal set of solutions of the Helmholtz equation. A novel class of traveling parabolic waves is also introduced for the first time.
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Cites
Handbook of Mathematical Functions
McQuarrie, D. A. (1966) · American Journal of Physics · doi:10.1119/1.1972842 · Cited by 40,433
Methods of Theoretical Physics
Morse, P. M., Feshbach, H., & Hill, E. L. (1954) · American Journal of Physics · doi:10.1119/1.1933765 · Cited by 13,197
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Shen, Y., Wang, X., Xie, Z., Min, C., Fu, X., Liu, Q., Gong, M., & Yuan, X. (2019) · Light: Science & Applications · doi:10.1038/s41377-019-0194-2 · Cited by 2,219
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Shen, Y., & Rosales‐Guzmán, C. (2022) · Laser & Photonics Reviews · doi:10.1002/lpor.202100533 · Cited by 160
Metadata
- Authors
- Bandres, M. A., Gutiérrez-Vega, J. C., & Chávez-Cerda, S.
- Venue
- Optics Letters
- Publisher
- Optica Publishing Group
- Published
- 2004-01-01
- Volume
- 29
- Issue
- 1
- Pages
- 44
- ISSN
- 0146-9592 (ISSN-L)
- 1539-4794
- OpenAlex
- W2122367715
- Cited by
- 393
- References
- 2
- FWCI
- 6.35
- Type
- journal article
- Language
- en
- Open access
- closed
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- Bandres, M. A., Gutiérrez-Vega, J. C., & Chávez-Cerda, S. (2004). Parabolic nondiffracting optical wave fields. Optics Letters. https://doi.org/10.1364/ol.29.000044
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