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J Opt Soc Am A Opt Image Sci Vis. 2000 Jun;17(6):1021-32.

Bessel-like beams modulated by arbitrary radial functions

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Department of Physics, The Pennsylvania State University, University Park 16802, USA.


An approximate method for determining the radial and axial intensity of a Bessel-like beam is presented for the general case in which a radial Bessel distribution of any order is modulated by an arbitrary function. For Bessel-Gauss, generalized Bessel-Gauss, and Bessel-super-Gauss beams, this simple approximation yields results that are very close to the exact values, while they are exact for Bessel beams. A practical beam that can be generated with a combination of simple lenses is also analyzed and illustrated.

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