Gaussian pulsed beam decomposition for propagation of ultrashort pulses through optical systems

Worku, Norman G.; Groß, Herbert

doi:10.1364/josaa.37.000098

Cited by 8 publications

(3 citation statements)

References 30 publications

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“…( 3 ), such as Laguerre-Gaussian beams or Hermite-Gaussian beams, the model could also be adapted to account for higher-order beams [ 37 ]. In principle, aberrated beams could also be modelled by decomposing the input wave into a superposition of Gaußlets [ 38 , 39 ] Beyond changing the beams, more complex optical cavities could be modelled. For example, although generic cavity non-uniformities such as those due to mirror roughness cannot be straightforwardly represented, other resonators of certain simple geometries could be.…”

Section: Discussionmentioning

confidence: 99%

ABCD transfer matrix model of Gaussian beam propagation in Fabry-Perot etalons

Sanchez¹,

Li²,

Marques

et al. 2022

Opt. Express

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A numerical model of Gaussian beam propagation in planar Fabry-Perot (FP) etalons is presented. The model is based on the ABCD transfer matrix method. This method is easy to use and interpret, and readily connects models of lenses, mirrors, fibres and other optics to aid simulating complex multi-component etalon systems. To validate the etalon model, its predictions were verified using a previously validated model based on Fourier optics. To demonstrate its utility, three different etalon systems were simulated. The results suggest the model is valid and versatile and could aid in designing and understanding a range of systems containing planar FP etalons. The method could be extended to model higher order beams, other FP type devices such as plano-concave resonators, and more complex etalon systems such as those involving tilted components.

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Section: Discussionmentioning

confidence: 99%

ABCD transfer matrix model of Gaussian beam propagation in Fabry-Perot etalons

Sanchez¹,

Li²,

Marques

et al. 2022

Opt. Express

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show abstract

“…The method consists in the decomposition of the laser field as a superposition of Gaussian beams, which are then individually propagated to the point of interest, and then the reconstructed field in the region of interest is obtained as the superposition of the propagated Gaussian fields. Although this method was initially used for monochromatic beams [27,28], it can also be extended to time-limited waves [29,30].…”

Section: Description Of the Methodsmentioning

confidence: 99%

Influence of Spatio-Temporal Couplings on Focused Optical Vortices

2022

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Ultra-intense laser pulses with helical phases are of interest in laser-driven charged particle acceleration and related experiments with extreme light. However, such optical vortices can be affected by the presence of residual spatial-temporal couplings. Their field distributions after propagating in free-space and in the focal plane of an ideal focusing mirror were assessed through numerical modeling, based on the Gaussian decomposition method for a 25 fs pulse with a Supergaussian spatial profile. The wash-out of the central hole in the doughnut-shaped profile in the focal plane corresponds to the rotation of the phase discontinuity.

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“…This formulation of GBD works by computing the differential ray transfer matrix for a given ray path and then using that data to solve the Gaussian beam solution to the general Collins integral 50 . Worku and Gross have leveraged the general Collins integral to provide alternative conditions to the Gaussian beam solution to modify the decomposition, such as truncated 46 and pulsed 51 beamlet decomposition. The option of modifying the beamlets to overcome the limitations of GBD makes the transfer matrix method extremely attractive for use in high-contrast imaging where preservation of high-spatial frequency content is important.…”

Section: Introductionmentioning

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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Gaussian pulsed beam decomposition for propagation of ultrashort pulses through optical systems

Cited by 8 publications

References 30 publications

ABCD transfer matrix model of Gaussian beam propagation in Fabry-Perot etalons

ABCD transfer matrix model of Gaussian beam propagation in Fabry-Perot etalons

Influence of Spatio-Temporal Couplings on Focused Optical Vortices

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

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