Generation of hollow Gaussian beams by spatial filtering.
We demonstrate that hollow Gaussian beams can be obtained from Fourier transform of the differentials of a Gaussian beam, and thus they can be generated by spatial filtering in the Fourier domain with spatial filters that consist of binomial combinations of even-order Hermite polynomials. A typical 4f optical system and a Michelson interferometer type system are proposed to implement the proposed scheme. Numerical results have proved the validity and effectiveness of this method. Furthermore, other polynomial Gaussian beams can also be generated by using this scheme. This approach is simple and may find significant applications in generating the dark hollow beams for nanophotonic technology.
Liu
Zhengjun
Z
Department of Physics, Harbin Institute of Technology, Harbin 150001, China.
Zhao
Haifa
H
Liu
Jianlong
J
Lin
Jie
J
Ahmad
Muhammad Ashfaq
MA
Liu
Shutian
S