Propagation of partially coherent radiation using Wigner functions

Nash, Boaz; Goldring, Nicholas; Edelen, Jonathan; Webb, Stephen D.; Celestre, Rafael

doi:10.1103/physrevaccelbeams.24.010702

Cited by 4 publications

(4 citation statements)

References 24 publications

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“…A set of GO rays defined by the WDF represents the EM beam propagation in space [41]. Let us a flat aperture as the initial position of that ray's set; in the real world, this flat aperture is the waveguide's output.…”

Section: Methodsmentioning

confidence: 99%

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Analysis and 3D Imaging of Multidimensional Complex THz Fields and 3D Diagnostics Using 3D Visualization via Light Field

et al. 2023

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We present a numerical platform for 3D imaging and general analysis of multidimensional complex THz fields. A special 3D visualization is obtained by converting electromagnetic (EM) radiation to a light field via the Wigner distribution function, which is known for discovering (revealing) hidden details. This allows for 3D diagnostics using the simple techniques of geometrical optics, which significantly facilitates the whole analysis. This simulation was applied to a complex field composed of complex beams emitted as ultra-narrow femtosecond pulses. A method was developed for the generation of phase–amplitude and spectral characteristics of complex multimode radiation in a free-electron laser (FEL) operating under various parameters. The tool was successful at diagnosing an early design of the transmission line (TL) of an innovative accelerator at the Schlesinger Family Center for Compact Accelerators, Radiation Sources, and Applications.

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Section: Methodsmentioning

confidence: 99%

“…Thus, for each given beam distribution (E), the set of rays I(x, y, k x , k y ) is obtained for each physical point (x,y) on the aperture. The Ex and Ey beam propagation in space is represented by the propagation of the GO rays [41]. All equations represent a singlefrequency problem.…”

Section: Methodsmentioning

confidence: 99%

Analysis and 3D Imaging of Multidimensional Complex THz Fields and 3D Diagnostics Using 3D Visualization via Light Field

et al. 2023

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“…The factorization in equation ( 18) has been discussed by Geloni et al (2008) [see their x3.1, equation ( 56)] where it is stated that this rearranging of equation ( 7) is only valid for quasi-homogeneous sources (see x2.5.1). In the context of the Wigner distribution, this separation in horizontal and vertical components has been discussed by various authors and is believed to work well for undulator radiation with photon energies near the resonance of odd harmonics (Bazarov, 2012;Tanaka, 2014;Nash et al, 2021). The Cartesian factorization in equation ( 18) is supposed to work well when the electron beam parameters in the horizontal are different from the vertical ones.…”

Section: Coherent Mode Decomposition With Comsylmentioning

confidence: 95%

A fast and lightweight tool for partially coherent beamline simulations in fourth-generation storage rings based on coherent mode decomposition

Río

Celestre

Reyes-Herrera

et al. 2022

J Synchrotron Radiat

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A new algorithm to perform coherent mode decomposition of undulator radiation is proposed. It is based on separating the horizontal and vertical directions, reducing the problem by working with one-dimension wavefronts. The validity conditions of this approximation are discussed. Simulations require low computer resources and run interactively on a laptop. The focusing with lenses of the radiation emitted by an undulator in a fourth-generation storage ring (EBS-ESRF) is studied. Results are compared against multiple optics packages implementing a variety of methods for dealing with partial coherence: full two-dimension coherent mode decomposition, Monte Carlo combination of wavefronts from electrons entering the undulator with different initial conditions, and hybrid ray-tracing correcting geometrical optics with wave optics.

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“…For an expedient review of the Wigner distribution and its relations to quantum mechanics and optics see I. V. Bazarov [3]. Hereinafter the application of the cross-spectral density or the Wigner distribution for the description and the propagation of partially coherent beams with reference to charged particle optics advanced, especially in the field of synchrotron radiation and FEL physics [3][4][5]. While the phase space distribution is strictly positive, the Wigner distribution can be locally negative, but it is still positive and normalized in the complete integral over the phase space coordinates.…”

Section: Introductionmentioning

confidence: 99%

Coherent superposition of orthogonal modes

Floettmann

2021

Preprint

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The coherent superposition of orthogonal modes can result in transverse offsets, variations of the Rayleigh length and a reduction of the beam quality factor of the coherent sum of modes in comparison to the incoherent sum. Relations for first and second order moments, the beam quality and the Rayleigh length for the superposition of Hermite-Gauss modes are derived. The Courant-Snyder formalism, which was originally developed in the context of charged particle optics, is applied to propagate an arbitrary coherent sum of orthogonal modes through a lens system. Relations of generating and observable optical functions are highlighted. In the last part of the report the elegant Hermite-Gauss solution is interpreted in terms of generating and observable functions and the solution is decomposed into a sum of standard Hermite-Gauss modes.

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Propagation of partially coherent radiation using Wigner functions

Cited by 4 publications

References 24 publications

Analysis and 3D Imaging of Multidimensional Complex THz Fields and 3D Diagnostics Using 3D Visualization via Light Field

Analysis and 3D Imaging of Multidimensional Complex THz Fields and 3D Diagnostics Using 3D Visualization via Light Field

A fast and lightweight tool for partially coherent beamline simulations in fourth-generation storage rings based on coherent mode decomposition

Coherent superposition of orthogonal modes

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