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Abstract

A novel method of generating zero order non-diffracting Mathieu beam with an axicon is proposed. To create quasi non-diffracting Mahtieu beam, an axicon is used to focus a plane wave modulated by elliptical Gaussian amplitude. Based on the formula of diffraction integral of a plane wave modulated by elliptical Gaussian amplitude propagating through the axicon, the intensity of quasi non-diffracting beam is simulated numerically. The maximum propagation distance of the quasi-non-diffracting Mathieu beam is calculated according to a geometrical optical model. To verify the results of the theory, an experimental setup is designed.Using a cylindrical lens and a collimating and expanding system, a circular Gaussian beam can be converted in to a plane wave modulated by elliptical Gaussian amplitude. Focusing the plane wave using an axicon, a qausi-non-diffracting Mathieu beam can be generated. The exoerimental results are consistent with theoretical calcuations and numerical simulations.

Keywords:

non-diffracting Mathieu beam/
plane wave modulated by elliptical Gaussian amplitude/
axicon/
cylindrical lens

Authors and contacts

1.
Funds:Project supported by the National Natural Science Foundation of China (Grant No. 611780515), and the Natural Science Foundation of Fujian Province, China(Grant No. 2012J01278).

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Cited By

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Vol. 63, Issue 15 - 2014-08-05

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