Beam propagation of a higher-order cosh-Gaussian beam
โ Scribed by Guoquan Zhou; Jun Zheng
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 229 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0030-3992
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โฆ Synopsis
On the basis of the second-order moment, the beam propagation of a higher-order cosh-Gaussian beam has been investigated. Two analytical expressions of the M 2 factor have been derived, which corresponds to the parity of the beam order n. The M 2 factor is determined by the beam order n and the parameter d. The influences of the beam order n and the parameter d on the M 2 factor are illustrated with numerical examples. The analytical kurtosis parameter has also been presented. The analytical formula is further simplified in the source plane and the far field, respectively. With given appropriate values of n and d, the kurtosis parameter in the far field is smaller than 3. This research is helpful to the practical applications of a higher-order cosh-Gaussian beam.
๐ SIMILAR VOLUMES
The apertured fractional Fourier transform (FRFT) system is introduced and applied to treat the propagation of Hermite-cosh-Gaussian beams. Based on the fact that a hard aperture function can be expanded into a finite sum of complex Gaussian functions, the approximate analytical expressions for the