Abstract
The analytical expression for hollow sinh-Gaussian (HsG) beams propagating through a paraxial ABCD optical system is derived and used to investigate its propagation properties in a fractional Fourier transform (FrFT) optical system. Several influence parameters of both the HsG beams and the FrFT optical system are discussed in detail. Results show that the FrFT optical system provides a convenient way for modulating HsG beams: HsG beams maintain their dark-centered distribution when the fractional order p is low, and low-ordered HsG beams lose their original dark-centered distribution more quickly than high-ordered ones when the value of p increases. Eventually all HsG beams’ intensities evolve into peak-centered distributions with some side lobes located sideways. Furthermore, our results also show that HsG beam intensity distribution versus the fractional order is periodical and the period is 2. The results obtained in this work are valuable for HsG beam shaping.
Highlights
Optical beams with zero central intensity, which are called dark-hollow beams (DHBs), have recently attracted a lot of attention both experimentally and theoretically, due to their unique properties and useful applications in atomic optics, optical communication, optical trapping, and other fields.[1,2,3,4] a rich variety of methods have been used to generate various DHBs, such as the transverse mode selection method,[5] the geometrical optical method,[6] optical holographic method,[7] the computer-generated hologram method,[8] and the hollow optical fibers method.[9]
We derived the analytical expression for hollow sinh-Gaussian (HsG) beams propagating through a paraxial ABCD optical system and used it to investigate its propagation properties in the fractional Fourier transform (FrFT) optical system
Several influencing parameters of both the HsG beams and the FrFT optical system are discussed in detail
Summary
Optical beams with zero central intensity, which are called dark-hollow beams (DHBs), have recently attracted a lot of attention both experimentally and theoretically, due to their unique properties and useful applications in atomic optics, optical communication, optical trapping, and other fields.[1,2,3,4] a rich variety of methods have been used to generate various DHBs, such as the transverse mode selection method,[5] the geometrical optical method,[6] optical holographic method,[7] the computer-generated hologram method,[8] and the hollow optical fibers method.[9]. In 2012, Sun et al introduced a new mathematical model called hollow sinh-Gaussian (HsG) beams to depict DHBs.[13] Their propagation characteristics in free space were studied. We derived the analytical expression for HsG beams propagating through a paraxial ABCD optical system and used it to investigate its propagation properties in the FrFT optical system.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
