Wave-Optics Applications in Charged-Particle-Beam Transport

An overview of electron wave-optics applications to charged-particle-beam transport is presented in the context of the thermal wave model (TWM). The quantization of the electron optics is presented both in the configuration space and in the phase space. The former provides a description in terms of the Schrödinger-like equation for a complex function whose squared modulus is proportional to the transverse density profile. The latter provides a phase-space description in terms of a von Neumann-type equation for a sort of Wigner function. The main results concerning the Gaussian electron optics, including the theory of coherent states for charged-particle beams and the beam transport through optical devices with multipole aberrations, such as sextupoles and octupoles, are reviewed within the above wave-like framework. In particular, some investigations concerning luminosity estimates in linear colliders as well as comparisons between the TWM results and the standard tracking simulations, recently discussed in the literature, are summarized. Finally, a fresh tomographic technique to study the beam transport in both the classical-like and quantum-like domains in terms of a marginal distribution, fully similar to the one used in quantum optics, is reviewed. In particular, a comparison between the beam Wigner function and the beam marginal distribution is presented. ©2000 Plenum/Kluwer Publishing Corporation.