Decentred elliptical Laguerre–Gaussian beam

Mei, Zhangrong; Guo, Juguang; Zhao, Daomu

doi:10.1088/1464-4258/8/1/012

Cited by 5 publications

(2 citation statements)

References 20 publications

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“…Thus GBD is a special case of the method described in this section. Because of the history of modeling resonators with ray transfer matrices, we know the ABCD propagation laws for Laguerre–Gaussian 62 and Hermite–Gaussian 63 beams, which form complete sets. This indicates that the beamlet decomposition method would be of higher accuracy when decomposing the field into modes of higher spatial order.…”

Section: Proposed Beamlet Propagation Algorithmmentioning

confidence: 99%

Hybrid propagation physics for the design and modeling of astronomical observatories: a coronagraphic example

Ashcraft,

Douglas,

Kim

et al. 2023

J. Astron. Telesc. Instrum. Syst.

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.For diffraction-limited optical systems, an accurate physical optics model is necessary to properly evaluate instrument performance. Astronomical observatories outfitted with coronagraphs for direct exoplanet imaging require physical optics models to simulate the effects of misalignment and diffraction. Accurate knowledge of the observatory’s point-spread function (PSF) is integral for the design of high-contrast imaging instruments and simulation of astrophysical observations. The state of the art is to model the misalignment, ray aberration, and diffraction across multiple software packages, which complicates the design process. Gaussian beamlet decomposition (GBD) is a ray-based method of diffraction calculation that has been widely implemented in commercial optical design software. By performing the coherent calculation with data from the ray model of the observatory, the ray aberration errors can be fed directly into the physical optics model of the coronagraph, enabling a more integrated model of the observatory. We develop a formal algorithm for the transfer-matrix method of GBD and evaluate it against analytical results and a traditional physical optics model to assess the suitability of GBD for high-contrast imaging simulations. Our GBD simulations of the observatory PSF, when compared to the analytical Airy function, have a sum-normalized RMS difference of ≈10 − 6. These fields are then propagated through a Fraunhofer model of an exoplanet imaging coronagraph where the mean residual numerical contrast is 4 × 10 − 11, with a maximum near the inner working angle at 5 × 10 − 9. These results show considerable promise for the future development of GBD as a viable propagation technique in high-contrast imaging. We developed this algorithm in an open-source software package and outlined a path for its continued development to increase the accuracy and flexibility of diffraction simulations using GBD.

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Section: Proposed Beamlet Propagation Algorithmmentioning

confidence: 99%

Hybrid propagation physics for the design and modeling of astronomical observatories: a coronagraphic example

Ashcraft,

Douglas,

Kim

et al. 2023

J. Astron. Telesc. Instrum. Syst.

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“…First, we evaluated the influence of laser beam astigmatism [27][28][29][30][31][32]. There are number of papers devoted to vortex beam behavior in an astigmatic system [33][34][35][36].…”

Section: Beam Astigmatismmentioning

confidence: 99%

Optical vortex dynamics induced by vortex lens shift—optical system error analysis

Masajada¹,

Augustyniak²,

Popiołek-Masajada³

2013

J. Opt.

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Optical vortices can be used in scanning microscopy. A sample can be scanned just by moving a vortex lens, introducing an optical vortex into a Gaussian beam. This technique seems to be cheap, precise and stable. In this paper the influence of various factors on this scanning technique has been investigated numerically, experimentally and analytically (when possible). Our results show that vortex scanning can be affected by Gaussian beam astigmatism. Other factors (such as optical vortex asymmetry) play a negligible role.

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Rectangular hard-edged aperture diffracted Laguerre–Gaussian beams

Mei

2010

Appl. Phys. B

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Decentred elliptical Laguerre–Gaussian beam

Cited by 5 publications

References 20 publications

Hybrid propagation physics for the design and modeling of astronomical observatories: a coronagraphic example

Hybrid propagation physics for the design and modeling of astronomical observatories: a coronagraphic example

Optical vortex dynamics induced by vortex lens shift—optical system error analysis

Rectangular hard-edged aperture diffracted Laguerre–Gaussian beams

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