Zohreh Parsa

Variational approach in wavelet framework to polynomial approximations of nonlinear accelerator problems

In this paper we present applications of methods from wavelet analysis to polynomial approximations for a number of accelerator physics problems. According to a variational approach in the general case we have the solution as a multiresolution (multiscales) expansion on the base of compactly supported wavelet basis. We give an extension of our results to the cases of periodic orbital particle motion and arbitrary variable coefficients. Then we consider more flexible variational method which is based on a biorthogonal wavelet approach. Also we consider a different variational approach, which is applied to each scale.

Wavelet approach to accelerator problems. II. Metaplectic wavelets

This is the second part of a series of talks in which we present applications of wavelet analysis to polynomial approximations for a number of accelerator physics problems. According to the orbit method and by using construction from the geometric quantization theory we construct the symplectic and Poisson structures associated with generalized wavelets by using metaplectic structure and corresponding polarization. The key point is a consideration of the semidirect product of the Heisenberg group and metaplectic group as subgroup of the automorphism group dual to the symplectic space, which consists of elements acting by affine transformations.

SYMMETRY, HAMILTONIAN PROBLEMS AND WAVELETS IN ACCELERATOR PHYSICS

In this paper the authors consider applications of methods from wavelet analysis to nonlinear dynamical problems related to accelerator physics. In this approach they take into account underlying algebraical, geometrical and topological structures of corresponding problems.

Polarization and Luminosity requirement for the first muon collider

Muon Polarization and Luminosity requirement for physics studies at a muon collider are discussed. An overview of a muon collider concepts and design parameters for 0.1, 0.5, and 4 Tev muon colliders are also presented.

Analysis of a high-brightness photoelectron beam with self-field and wake-field effects☆

Abstract High-brightness sources are the basic ingredients in recent accelerator developments such as free-electron laser (FEL) experiments. The effects of the interactions between the highly charged particles and the fields in the accelerating structure, e.g., rf, space charge and wake fields can be detrimental to the beam and the experiments. After discussing our formulation, we present some simulations and results for the Brookhaven National Laboratory (BNL) high-brightness beam that illustrates effects of the accelerating field, space-charge forces, e.g., due to self field of the bunch, and the wake field, e.g., arising from the interaction of the cavity surface and the self field of the bunch.

Ionization cooling and muon dynamics

Muon colliders potential to provide a probe for fundamental particle physics is very interesting. To obtain the needed collider luminosity, the phase-space volume must be greatly reduced within the muon life time. The Ionization cooling is the preferred method used to compress the phase space and reduce the emittance to obtain high luminosity muon beams. We note that, the ionization losses results not only in damping, but also heating. We discuss methods used including moments methods, Focker-Plank Equation, and Multi Particle Codes. In addition we show how a simple analysis permits us to estimate the most part of the optimal system parameters, such as optimal damping rates, length of the system and energy.

Resonant Higgs enhancement at the First Muon Collider

The effect of beam polarization on Higgs resonance signals and backgrounds (b{anti b}, {tau}{anti {tau}}, c{anti c}) at the First Muon Collider is studied. Angular distributions (forward-backward charge asymmetries) are examined. The resulting effective enhancement of the Higgs signal relative to the background is investigated as is the reduction in scan time required for Higgs discovery.

Modeling of the BNL photocathode gun with the code PARMELA

We present an analysis of the electron beam emitted from the BNL laser driven photocathode injector operating at 2856 MHz. An analysis of the beam transported through the transport line to the entrance of the linac is also presented. Recent measurements of the photocathode laser shows that the pulse length has a sigma of {plus minus}5Ps and a transverse size of 1.25 mm. A quassian shape is assumed for the distribution in both the radial and time dependence of the laser beam. This is compared with the original design parameters of {plus minus}2Ps and 3 mm. 4 refs., 6 figs., 2 tabs.

Physics of an Intense Neutrino Beam from BNL to a Very Long Baseline Detector

An intense neutrino facility allows probing of the neutrino mixing angles, mass hierarchy, and leptonic CP violation. Physics potential, for making precision measurements of all neutrino oscillation parameters (θij, Δmij2, δ) using a wide band νμ beam, to a (very long baseline) detector is presented. Potential of a Neutrino beam from Brookhaven National Laboratory to a 2540 km baseline (with 0.5 megaton) detector at Homestake Mine in South Dakota, is (under study by our neutrino working group) discussed. Schemaics of the beam facility for the AGS upgrade to 1 MW with a cycle time of 2.5 and 1014 protons on target at 28 GeV; and a map with possible detector sites are also included.

Wavelet approach to accelerator problems. I. Polynomial dynamics

This is the first part of a series of talks in which we present applications of methods from wavelet analysis to polynomial approximations for a number of accelerator physics problems. In the general case we have the solution as a multiresolution expansion in the base of compactly supported wavelet basis. The solution is parametrized by solutions of two reduced algebraical problems, one is nonlinear and the second is some linear problem, which is obtained from one of the next wavelet constructions: fast wavelet transform, stationary subdivision schemes, the method of connection coefficients.