Grazing function g and collimation angular acceptance

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On the asymptotic behavior of the solutions to parabolic variational inequalities

Maria Colombo

We consider various versions of the obstacle and thin-obstacle problems, we interpret them as variational inequalities, with non-smooth constraint, and prove that they satisfy a new constrained Lojasiewicz inequality. The difficulty lies in the fact that, ...

2020

A novel approach to Landau damping of transverse collective instabilities in future hadron colliders

Michael Schenk

Transverse collective instabilities induced by the beam-coupling impedance of the accelerator structure lead to beam quality degradation and pose a major limitation to the machine performance. Landau damping, a powerful stabilising mechanism that can be em ...

EPFL2019

Mitigation of intensity limitation in the CERN SPS using a double RF system

Massimiliano Schwarz, Joël Repond

The Super Proton Synchrotron (SPS) at CERN is the injector of the Large Hadron Collider (LHC). Multi-bunch instabilities limit the intensity of the beam that can be accelerated to 450 GeV in the SPS and transferred to the LHC. Without mitigation measures, ...

2019

Micro-focused MHz pink beam for time-resolved X-ray emission spectroscopy

Christoph Bostedt, Andre Al Haddad

The full radiation from the first harmonic of a synchrotron undulator (between 5 and 12 keV) at the Advanced Photon Source is microfocused using a stack of beryllium compound refractive lenses onto a fast-moving liquid jet and overlapped with a high-repeti ...

2019

Polychromatic Cherenkov Radiation Induced Group Velocity Symmetry Breaking in Counterpropagating Dissipative Kerr Solitons

Tobias Kippenberg, Erwan Guillaume Albert Lucas, Wenle Weng

High-order-dispersion-induced dispersive waves emitted by dissipative Kerr solitons are frequently observed in microresonator frequency comb generation. Also known as soliton Cherenkov radiation, this type of dispersive wave plays a critical role in comb s ...

AMER PHYSICAL SOC2019

The index of singular zeros of harmonic mappings of anti-analytic degree one

Robert Gerhard Jérôme Luce

We study harmonic mappings of the form , where h is an analytic function. In particular, we are interested in the index (a generalized multiplicity) of the zeros of such functions. Outside the critical set of f, where the Jacobian of f is non-vanishing, it ...

TAYLOR & FRANCIS LTD2021

High-gradient and high-efficiency linear accelerators for hadron therapy

Stefano Benedetti

Hadron beams - approximately 200 MeV protons and 400 MeV/u fully stripped carbon ions - are better suited to treat deep-seated tumours than X ray beams - produced by electrons accelerated by linear accelerators (linacs) to 5-25 MeV - because they leave the ...

EPFL2018

Solitary waves in longitudinally wrinkled and creased helicoids

Florian Paul Robert Maurin

Elastic ribbons subjected to twist and stretch handle multiple morphological instabilities, amongst others, the longitudinally wrinkled and creased helicoids are investigated in the present paper as promising periodic nonlinear waveguides. Modeling the rib ...

Elsevier2017

Characteristics of solitary waves on a falling liquid film sheared by a turbulent counter-current gas flow

Nicolas Igor Jacques Kofman

We report an experimental investigation of a falling water film sheared by a turbulent counter-current air flow in an inclined rectangular channel. Film thickness and wave velocity measurements associated with visual observation are conducted to study the ...

Elsevier2017

Octave-spanning dissipative Kerr soliton frequency combs in Si3N4 microresonators

Tobias Kippenberg, Michail Zervas, Junqiu Liu, Maxim Karpov, Hairun Guo, Martin Hubert Peter Pfeiffer, Erwan Guillaume Albert Lucas, Clemens Herkommer

Octave-spanning, self-referenced frequency combs are applied in diverse fields ranging from precision metrology to astrophysical spectrometer calibration. The octave-spanning optical bandwidth is typically generated through non-linear spectral broadening o ...

Optical Soc Amer2017

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Polychromatic Cherenkov Radiation Induced Group Velocity Symmetry Breaking in Counterpropagating Dissipative Kerr Solitons

Tobias Kippenberg, Erwan Guillaume Albert Lucas, Wenle Weng

AMER PHYSICAL SOC2019