Non-Linear Eigenmode Computations for Conducting and Superconducting Cavities With a Surface Impedance Boundary Condition

Marsic, Nicolas; Ackermann, Wolfgang; Gersem, Herbert De

doi:10.1109/tmag.2017.2742664

Cited by 3 publications

(3 citation statements)

References 9 publications

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“…Tis phenomenon suggests that the material loss of cavity must be minimized for obtaining higher compression gain. Terefore, the research of superconducting metal cavity will be an important research direction in the future work [19][20][21].…”

Section: Te Power Gain Varies With the Time Length Of Input Pulsementioning

confidence: 99%

“…A higher peak power is obtained. Compared with the traditional pulse compression method such as SES [16][17][18][19][20][21][22][23], the biggest feature of this path encoding pulse compression method is that the high power microwave switch is not required. Terefore, very high repetition frequency and higher power capacity can be achieved by using this method in theory.…”

Section: Introductionmentioning

confidence: 99%

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Study on Gain Regularity of High Power Microwave Obtained by Using Path Encoding Pulse Compression

Fang

Zhai

et al. 2023

Laser Part. Beams

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This study is the further research of the path encoding pulse compression technique. In this study, the regularity of pulse compression gain is studied by adopting the numerical simulation and experiment measurement methods. For the lossless cavity, the power gain has the characteristic of equal pulse length with equal compression gain contribution according to the numerical simulation results. It means that the pulse compression gain is increased linearly along with the time length of the input pulse. The obtained pulse power gains are equal for the two subpulses intercepted arbitrarily form the input pulse with equal time length for the pulse compression. For the lossy cavity, the power gain usually does not increase significantly after the length of input pulse reaches to a certain value. The gain contribution decreases gradually along with the increase of time length of input pulse until the growth rate of gain contribution equals to zero. Assuming two subpulses with equal time length were intercepted from the input pulse, the gain contribution of the earlier subpulse is lower than that of the later subpulse. The measured results verified the simulated gain contribution regularity according to the established experimental system.

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Section: Te Power Gain Varies With the Time Length Of Input Pulsementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Study on Gain Regularity of High Power Microwave Obtained by Using Path Encoding Pulse Compression

Fang

Zhai

et al. 2023

Laser Part. Beams

View full text Add to dashboard Cite

show abstract

“…The surfaces at the boundary of the computational domain are assumed to be piecewise smooth and represented as nonuniform rational B-spline (NURBS) surfaces. Nedelec edge elements [26] are employed to provide tangentially continuous basis functions for discretizing the electric field. The use of edge elements not only leads to a convenient way of imposing boundary conditions at material interfaces as well as at conducting surfaces, but also treats conducting and dielectric edges and corners correctly.…”

Section: Problem Formulationmentioning

confidence: 99%

Computing resonant modes of accelerator cavities by solving nonlinear eigenvalue problems via rational approximation

Beeumen

Marques

et al. 2018

Journal of Computational Physics

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Computation of lossy higher order modes in complex SRF cavities using Beyn’s and Newton’s methods on reduced order models

Pommerenke

Heller

Zadeh

et al. 2019

Int. J. Mod. Phys. A

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Superconducting radio frequency cavities meet the demanding performance requirements of modern accelerators and high-brilliance light sources. Their design requires a precise knowledge of their electromagnetic resonances. A numerical solution of Maxwell's equations is required to compute the resonant eigenmodes, their frequencies and losses due to the complex cavity shape. The consideration of resonances damped by external losses leads to a nonlinear eigenvalue problem. Previous work showed that, using State-Space Concatenation to construct a reduced order model and Newton iteration to solve the arising eigenvalue problem, solutions can be obtained on workstation computers even for large-scale problems without extensive simplification of the structure itself. In this paper, we augment the solution workflow by Beyn's contour integral algorithm to increase the number of found eigenmodes. Numerical experiments are presented for one academic and two real-life superconducting cavities and partially compared to measurements.

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Non-Linear Eigenmode Computations for Conducting and Superconducting Cavities With a Surface Impedance Boundary Condition

Cited by 3 publications

References 9 publications

Study on Gain Regularity of High Power Microwave Obtained by Using Path Encoding Pulse Compression

Study on Gain Regularity of High Power Microwave Obtained by Using Path Encoding Pulse Compression

Computing resonant modes of accelerator cavities by solving nonlinear eigenvalue problems via rational approximation

Computation of lossy higher order modes in complex SRF cavities using Beyn’s and Newton’s methods on reduced order models

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