Selected problems of computational charged particle optics To order this title, and for more information, click here
By Dmitry Greenfield Peter Hawkes, CEMES/Laboratoire d'Optique Electronique du Centre National de la Recherche Scientifique, Toulouse, France Mikhael Monastyrskii
Audience
Physicists, electrical engineers and applied mathematicians in all branches of image processing and microscopy as well as electron physics in general
Contents Chapter 1. Integral equations method in electrostatics
1.1. Statement of the problem
1.2. Boundary surface approximation
1.3. Surface
charge density approximation
1.4. Interface boundary conditions for dielectric materials
1.5 Reducing the integral equations to the
finite-dimensional linear equations system
1.6. Accuracy benchmarks for numerical solving the 3D electrostatic problems
1.7. More complicated
examples of 3D field simulation
1.8 The cases of planar and axial symmetries
1.9 Calculation of potential and its derivatives near the
boundary
1.10. Acceleration of field calculation. Finite-difference meshes and calculation domain decomposition
1.11. Microscopic and
averaged fields of periodic structures
Chapter 2. Surface charge singularities near irregular surface points
2.1. Two-faced conductive
wedge in vacuum
2.2. Two-faced conductive wedge in the presence of dielectrics
2.3. The transfer matrix method
2.4. The case of pure
dielectric vertex
2.5. Upper boundaries for the singularity index in 2D case
2.6. Variational approach to the spectral problem
2.7. Three-dimensional
corners
2.8. Variational method in the case of dielectrics
2.9. Reduction to the 2D case
2.10. On-rib singularities near three-dimensional
corner
2.11. The cases allowing separation of variables
2.12. Numerical solution of the Beltrami-Laplace spectral problem
2.13. Cubical
and prism corners
Chapter 3. Geometry perturbations
3.1. Integral variational equations and conjugate integral equation for the Green
function
3.2. 3D perturbations in axisymmetric systems
3.3 Some examples of 3D perturbations in axisymmetric systems
3.4. 3D perturbations
in planar systems
3.5. Locally strong 3D perturbations in axisymmetric systems
3.6. 3D fringe fields in planar systems
Chapter 4. Some
aspects of magnetic field simulation
4.1. Vector and scalar potential approaches
4.2. Direct integration over the current contours
4.3.
The current contours in the presence of materials with constant permeability
4.4. Variational principle in three-dimensional, planar,
and axisymmetric cases
4.5. Finite-element modeling of magnetic systems with saturable materials
4.6. Second-order FEM and the use of
curvilinear elements
4.7. Magnetic superelements
4.8. The boundary element approach in magnetostatics
4.9. Hybrid computational methods
Chapter 5. Aberration approach and the tau-variation technique
5.1. A brief excursion to the history of aberration theory
5.2. The essence
of the tau-variation technique
5.3. The tau-variation equations in tensor form
5.4. Arrival time variations and contact transformation
5.5. Jump condition for aberration coefficients
5.6. Multiple principal trajectories approach
5.7. Tolerance analysis using the aberration
theory
5.8. Tracking technique
5.9. Charged particle scattering
Chapter 6. Space charge in charged particle bunches
6.1. Self-consistent
simulation of thermionic electron guns
6.2. Cold-cathode approximation: semi-analytical approach
6.3. Coulomb field in short bunches.
The technique of tree-type pre-ordering
6.4. Exclusion of the external field in space charge problems
6.5. Some examples of ion beam
simulation
Chapter 7. General properties of emission-imaging systems
7.1. Charged particle density transformations and electron image
7.2. Spatial/temporal spread function. Isoplanatism condition
7.3. Modulation and phase transfer functions (MTF and PTF). Spatial and
temporal resolution
Chapter 8. Static and time-analyzing image tubes with axial symmetry
8.1. Spatial aberrations of the electron image
formed by electrostatic systems
8.2. Temporal aberrations in streak image tubes
8.3. High-frequency asymptotics of OTF in image tubes
8.4. Examples of the spread functions and OTF in the image tubes
8.5. The boundary-layer effect in cathode lenses and electron mirrors
Chapter 9. Spatial and temporal focusing of photoelectron bunches in time-dependent electric fields
9.1. Two different jobs that ultrashort
electron bunches can do
9.2. The master equation of first-order temporal focusing
9.3. Moving potential well as a simple example of temporal
focusing
9.4. Thin temporal lens approximation
9.5. Second-order aberrations and quantum-mechanical limitations
9.6. Approximate estimation
of the space charge effects contribution
9.7. Simulation of a photoelectron gun with time-dependent electric field and some experimental
results
Appendices
Appendix 1. Some Gauss quadrature formulas
Appendix 2. Numerical integration of the Green functions with Coulomb
singularities in the coincidence limit
Appendix 3. First variation of a functional upon the equality-type operator constraints (R.P.
Fedorenko' variational scheme)
Appendix 4. Jump condition for variations of the ordinary differential equations with non-smooth right
part
Appendix 5. Some general properties of linear systems
Appendix 6. The probability density transformations
Appendix 7. The multidimensional
stationary phase method
References
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