Abstract

We first demonstrate the Terahertz quasi-zero-order Mathieu-Gauss beams with a 0.1-THz continuous wave. To generate these beams, two diffractive elements, a cylindrical lens and an axicon bearing specific phases are fabricated via 3D printing technology. The related numerical simulations are conducted to study intensity distributions and properties on non-diffraction and self-healing of THz quasi-zero-order Mathieu-Gauss beams in free space. Experimental results are in good agreement with numerical ones. Based on the characteristic of terahertz Mathieu-Gauss beams, they can be applied to terahertz linear array imaging system and terahertz communication.

Highlights

  • Over the past few decades, structured beams have attracted much attention in optical domain, due to their property of nondiffraction[1,2,3]

  • The THz quasi-zero-order Mathieu beam can be normally generated by the diffractive elements, the wrapped cylindrical lens and the axicon, which is the realization of Whitaker's integral in experimentally

  • The generated THz quasi-zero-order Mathieu-Gauss beams demonstrated a good property of non-diffraction in some degree

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Summary

Introduction

Over the past few decades, structured beams have attracted much attention in optical domain, due to their property of nondiffraction[1,2,3]. Since Durnin’s previous work on Bessel beams, Gutiérrez-Vega was the first to demonstrate existence of Mathieu beams as a new member of the propagation-invariant optical fields(PIOFs)in elliptical cylindrical coordinate[14]. Inspired by the accesses to generate Bessel beams, optical Mathieu beams were realized experimentally in annular-slit element by Gutiérrez-Vega[15]. Fabricating holographic plates with high precision is complicated, and the beams produced by a resonator require rather strict conditions Both methods mentioned above are expensive and difficult to manipulate, they are not very suitable techniques for generating Mathieu beams. In this paper, based on analysis of the previous methods on generating Mathieu-Gauss beams in the optical domain, the THz Mathieu-Gauss beams, to be precise, the THz quasi-Mathieu-Gauss beams can be generated by using diffractive elements.

Theory and Fabrication of phase plates
Experimental generation and results of quasi-zero-order Mathieu-Gauss beams
Conclusion

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