Short-range longitudinal and transverse wakefield effects in FERMI@Elettra FEL project

The FERMI@Elettra Free Electron Laser (FEL) project is a soft X-ray fourth generation light source under development at the ELETTRA Laboratory of Sincrotrone Trieste. It is one of the FEL based European projects, designed to become the international user facility in Italy for scientific investigations, with ultra high brilliance X-ray pulses, of ultra-fast and ultra-high resolution processes in material science and physical biosciences. When ultra-relativistic charged particles pass through cross section variations of the vacuum chamber wall or experience the finite conductivity of the wall, they generate electromagnetic fields, which are named wakefields since they remain behind the exciting particles. These electromagnetic fields usually influence the energy and the transverse motion of trailing particles leading to beam instabilities, such as single bunch energy spread variations and emittance growth. Since FEL operation requires a beam with a short bunch and high quality in terms of bunch energy spread and emittance, a good knowledge of these wakefields is needed to predict the beam quality. This thesis deals with analytical and numerical studies of the short-range longitudinal and transverse wake¿elds and their effects along the linac and undulator chain. In Ch. 2 we have estimated the short-range wake¿elds in the backward traveling wave (BTW) accelerating structure. Each section is a backward traveling (BTW) structure composed of 162 nose cone cavities coupled magnetically. To calculate the effect of the longitudinal and transverse wake¿elds we have used the time domain numerical approach with a new implicit scheme for calculation of wake potential of short bunches in long structures. The wake potentials of the BTW structure are calculated numerically for very short bunches and analytical approximations for wake functions in short and long ranges are obtained by fitting procedures based on analytical estimations. Finally the single bunch energy spread induced by short-range longitudinal wake¿elds is analyzed. In Ch. 3 we have studied these electron beam dynamics in the presence of the linac transverse wake¿eld. Trajectory manipulation is used to gain control of the transverse wake¿eld induced instability and this technique is also validated in the presence of shot-to-shot trajectory jitter. A specific script working with Courant-Snyder variables has been written to evaluate the residual banana shape after instability suppression in the presence of shot-to-shot trajectory jitter. In Ch. 4 we have analytically derived expressions for the high-frequency longitudinal and transverse resistive-wall coupling impedance of an elliptical cross-section vacuum chamber. Then, the corresponding longitudinal and transverse wake functions have been obtained by calculating numerically the inverse Fourier transforms of the impedances. In Ch. 5 we report a novel concept to passively linearize the bunch compression process in electron linacs for the next generation X-ray free electron lasers. This can be done by using the monopole wake¿elds in a dielectric-lined waveguide. The optimum longitudinal voltage loss over the length of the bunch is calculated in order to compensate both the second-order RF time-curvature and the second-order momentum compaction terms. Thus, the longitudinal phase space after the compression process is linearized up to a fourth-order term introduced by the convolution between the bunch and the monopole wake function

Electromagnetic field and short-range wake function in a beam pipe of elliptical cross section

Within the ultrarelativistic limit, analytical expressions are found for the high-frequency resistive-wall coupling impedance of an elliptical cross-section vacuum chamber. Subsequently, the corresponding wake functions are derived by performing inverse Fourier transformations numerically. The electromagnetic fields have been developed working out two systems of solutions, namely for the vacuum and for the resistive wall. The constants involved in these systems have been determined by matching boundary conditions at the interface vacuum wall. Several study cases have been considered concerning the aspect ratio of the elliptical cross section and the transverse position of the leading charge in order to exemplify the behavior of the longitudinal and transverse wake functions

Design and Field Measurements of a Linear Accelerator Endowed with Single Feed with Movable Short Coupler

Field asymmetries in the rf coupler of accelerating structures degrade the projected beam transverse emittance, especially at low energy. This paper presents an alternative single feed coupler design that reduces the dipolar and the quadrupolar field components by exploiting a movable short circuit placed on the opposite waveguide. The structure has been simulated and optimized with the Ansys HFSS simulation code. RF measurements on an aluminum prototype machined in the "Elettra - Sincrotrone Trieste S.C.p.A.", are here presented. Such results are in good agreement with the simulations

Strained tetragonal states and Bain paths in metals

Paths of tetragonal states between two phases of a material, such as bcc and fcc, are called Bain paths. Two simple Bain paths can be defined in terms of special imposed stresses, one of which applies directly to strained epitaxial films. Each path goes far into the range of nonlinear elasticity and reaches a range of structural parameters in which the structure is inherently unstable. In this paper we identify and analyze the general properties of these paths by density functional theory. Special examples include vanadium, cobalt and copper, and the epitaxial path is used to identify an epitaxial film as related uniquely to a bulk phase.Comment: RevTeX, 4 pages, 4 figures, submitted to Phys. Rev. Let

Size-dependent phase transitions in nanostructured zirconia-scandia solid solutions.

Size effects on phase stability and phase transitions in technologically relevant materials have received growing attention. Several works reported that metastable phases can be retained at room temperature in nanomaterials, these phases generally corresponding to the high-temperature polymorph of the same material in bulk state. Additionally, size-dependent shifts in solubility limits and/or in the transition temperatures for on heating or on cooling cycles have been observed. ZrO2-Sc2O3 (zirconia-scandia) solid solutions are known to exhibit very high oxygen ion conductivity provided their structure is composed of cubic and/or pseudocubic tetragonal phases. Unfortunately, for solid zirconia-scandia polycrystalline samples with typical micrometrical average crystal sizes, the high-conductivity cubic phase is only stable above 600°C. Depending on composition, three low-conductivity rhombo-hedral phases (β, γ and δ) are stable below 600°C down to room temperature, within the compositional range of interest for SOFCs. In previous investigations, we showed that the rhombohedral phases can be avoided in nanopowders with average crystallite size lower than 35 nm.LNLSCNPqANPCyTCLA

Implementation of Radio-Frequency Deflecting Devices for Comprehensive High-Energy Electron Beam Diagnosis

In next-generation light sources, high-brightness electron beams are used in a free-electron laser configuration to produce light for use by scientists and engineers in numerous fields of research. High-brightness beams are described for such light sources as having low transverse and longitudinal emittances, high peak currents, and low slice emittance and energy spread. The optimal generation and preservation of such high-brightness electron beams during the acceleration process and propagation to and through the photon-producing element is imperative to the quality and performance of the light source. To understand the electron beam's phase space in the accelerating section of a next-generation light source machine, we employed radio-frequency cavities operating in a deflecting mode in conjunction with a magnetic spectrometer and imaging system for both low (250 MeV) and high (1.2 GeV) electron energies. This high-resolution, high-energy system is an essential diagnostic for the optimization and control of the electron beam in the FERMI light source generating fully transversely and longitudinally coherent light in the VUV to soft x-ray wavelength regimes. This device is located at the end of the linear accelerator in order to provide the longitudinal phase space nearest to the entrance of the photon-producing beam-lines. Here, we describe the design, fabrication, characterization, commissioning, and operational implementation of this transverse deflecting cavity structure diagnostic system for the high-energy (1.2 GeV) regime

Effects of anharmonic strain on phase stability of epitaxial films and superlattices: applications to noble metals

Epitaxial strain energies of epitaxial films and bulk superlattices are studied via first-principles total energy calculations using the local-density approximation. Anharmonic effects due to large lattice mismatch, beyond the reach of the harmonic elasticity theory, are found to be very important in Cu/Au (lattice mismatch 12%), Cu/Ag (12%) and Ni/Au (15%). We find that is the elastically soft direction for biaxial expansion of Cu and Ni, but it is for large biaxial compression of Cu, Ag, and Au. The stability of superlattices is discussed in terms of the coherency strain and interfacial energies. We find that in phase-separating systems such as Cu-Ag the superlattice formation energies decrease with superlattice period, and the interfacial energy is positive. Superlattices are formed easiest on (001) and hardest on (111) substrates. For ordering systems, such as Cu-Au and Ag-Au, the formation energy of superlattices increases with period, and interfacial energies are negative. These superlattices are formed easiest on (001) or (110) and hardest on (111) substrates. For Ni-Au we find a hybrid behavior: superlattices along and like in phase-separating systems, while for they behave like in ordering systems. Finally, recent experimental results on epitaxial stabilization of disordered Ni-Au and Cu-Ag alloys, immiscible in the bulk form, are explained in terms of destabilization of the phase separated state due to lattice mismatch between the substrate and constituents.Comment: RevTeX galley format, 16 pages, includes 9 EPS figures, to appear in Physical Review

The Effect of Lattice Vibrations on Substitutional Alloy Thermodynamics

A longstanding limitation of first-principles calculations of substitutional alloy phase diagrams is the difficulty to account for lattice vibrations. A survey of the theoretical and experimental literature seeking to quantify the impact of lattice vibrations on phase stability indicates that this effect can be substantial. Typical vibrational entropy differences between phases are of the order of 0.1 to 0.2 k_B/atom, which is comparable to the typical values of configurational entropy differences in binary alloys (at most 0.693 k_B/atom). This paper describes the basic formalism underlying ab initio phase diagram calculations, along with the generalization required to account for lattice vibrations. We overview the various techniques allowing the theoretical calculation and the experimental determination of phonon dispersion curves and related thermodynamic quantities, such as vibrational entropy or free energy. A clear picture of the origin of vibrational entropy differences between phases in an alloy system is presented that goes beyond the traditional bond counting and volume change arguments. Vibrational entropy change can be attributed to the changes in chemical bond stiffness associated with the changes in bond length that take place during a phase transformation. This so-called ``bond stiffness vs. bond length'' interpretation both summarizes the key phenomenon driving vibrational entropy changes and provides a practical tool to model them.Comment: Submitted to Reviews of Modern Physics 44 pages, 6 figure

FERMI&Elettra Accelerator Technical Optimization FinalReport

This report describes the accelerator physics aspects, theengineering considerations and the choice of parameters that led to theaccelerator design of the FERMI Free-Electron-Laser. The accelerator(also called the "electron beam delivery system") covers the region fromthe exit of the injector to the entrance of the first FEL undulator. Theconsiderations that led to the proposed configuration were made on thebasis of a study that explored various options and performance limits.This work follows previous studies of x-ray FEL facilities (SLAC LCLS[1], DESY XFEL [2], PAL XFEL [3], MIT [4], BESSY FEL[5], LBNL LUX [6],Daresbury 4GLS [7]) and integrates many of the ideas that were developedthere. Several issues specific to harmonic cascade FELs, and that had notyet been comprehensively studied, were also encountered and tackled. Aparticularly difficult issue was the need to meet the requirement forhigh peak current and small slice energy spread, as the specification forthe ratio of these two parameters (that defines the peak brightness ofthe electron beam) is almost a factor of two higher than that of theLCLS's SASE FEL. Another challenging aspect was the demand to produce anelectron beam with as uniform as possible peak current and energydistributions along the bunch, a condition that was met by introducingnovel beam dynamics techniques. Part of the challenge was due to the factthat there were no readily available computational tools to carry outreliable calculations, and these had to be developed. Most of theinformation reported in this study is available in the form of scientificpublications, and is partly reproduced here for the convenience of thereader