Advances in Imaging and Electron Physics

Testing Asymptotic expansions Cone Multiscale Method Boundary value problem Tensor Regularization Hydrodynamic Model Optimal Parameter and toroid analytical continuation arbitrary spatial axis arbitrary cylinder arbitrary cross-section combined models characteristics of the geometrized equations curvilinear emitter's vicinity collector defining equations elliptical and quasi-rectangular contour evolution of micro-beams geometrized equations controlling functions controlling of the emitter shape and emission current density Continuous groups of transformations coordinate expansions Euclidean conditions generalization of the 3/2-law forming electrodes degenerate solutions homogeneous deformation of a cross section H-solution's rank higher approximations joining of bands emitting belt external problem expansion gap "false" asymptotic representation Lipschitz�Hankel integral generalization of the "hypothesis of planar cross sections multibeam electron-optical system method of bands near-cathode model Gauss hypergeometric function generalized Brillouin flows optimal systems of subgroups near-surface beam high compression orthogonal landing profiled expansion gap quasi-axisymmetric beams remarking transformation invariant solution principal curvatures of a coordinate surface Integral Transformation relation on the stream tube small geometric parameter short electron guns similar stream tubes Singularity solenoidal flows relativistic injector spatial electrostatic flows slope angle of the zero-potential electrode Riemann method for elliptical equations macro-beam Main Group thermoemission modes uniform heat load magnetron-injection gun near-rectangular cross section nonlinear transformations non-Pierce angle micro-beam paraxial beam non-paraxial flows optimal coordinate system single-component flows regularization of a solution starting asymptotics singling of a singularity traditional theory of tubular beams tensor form of the beam equations