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Exact solutions for nondiffracting beams I The scalar theory
Abstract
We present exact, nonsingular solutions of the scalar-wave equation for beams that are nondiffracting. This means that the intensity pattern in a transverse plane is unaltered by propagating in free space. These beams can have extremely narrow intensity profiles with effective widths as small as several wavelengths and yet possess an infinite depth of field. We further show (by using numerical simulations based on scalar diffraction theory) that physically realizable finite-aperture approximations to the exact solutions can also possess an extremely large depth of field.
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Bekshaev, A., Bliokh, K. Y., & Soskin, M. (2011) · Journal of Optics · doi:10.1088/2040-8978/13/5/053001 · Cited by 368
Garcés-Chávez, V., McGloin, D., Padgett, M. J., Dultz, W., Schmitzer, H., & Dholakia, K. (2003) · Physical Review Letters · doi:10.1103/physrevlett.91.093602 · Cited by 365
Light-sheet microscopy: a tutorial
Olarte, O. E., Andilla, J., Gualda, E. J., & Loza-Alvarez, P. (2018) · Advances in Optics and Photonics · doi:10.1364/aop.10.000111 · Cited by 298
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Metadata
- Authors
- Durnin, J.
- Venue
- Journal of the Optical Society of America A
- Publisher
- Optica Publishing Group
- Published
- 1987-04-01
- Volume
- 4
- Issue
- 4
- Pages
- 651
- ISSN
- 1084-7529 (ISSN-L)
- 1520-8532
- OpenAlex
- W1971780827
- Cited by
- 2,605
- References
- 0
- FWCI
- 6.71
- Type
- journal article
- Language
- en
- Open access
- closed
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- Durnin, J. (1987). Exact solutions for nondiffracting beams I The scalar theory. Journal of the Optical Society of America A. https://doi.org/10.1364/josaa.4.000651
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