The Finite Element Method in Charged Particle Optics / by Anjam Khursheed.
This multidisciplinary book is intended to serve as a reference for postgraduate students and researchers working in the fields of charged particle optics or other finite-element-related applications. It is also suitable for use as a graduate text. For the non-specialist in charged particle optics,...
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Full Text (via Springer) |
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| Main Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Boston, MA :
Springer US,
1999.
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| Series: | International series in engineering and computer science ;
519. |
| Subjects: |
MARC
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| 100 | 1 | |a Khursheed, Anjam. | |
| 245 | 1 | 4 | |a The Finite Element Method in Charged Particle Optics / |c by Anjam Khursheed. |
| 260 | |a Boston, MA : |b Springer US, |c 1999. | ||
| 300 | |a 1 online resource (xiii, 274 pages) | ||
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| 490 | 1 | |a The Springer International Series in Engineering and Computer Science, |x 0893-3405 ; |v 519. | |
| 505 | 0 | |a 1. Field Theory -- 1. Electrostatics -- 2. Magnetostatics -- 2. Field Solutions for Charged Particle Optics -- 1. The Equations of motion -- 2. The Paraxial Equation of Motion -- 3. On-axis Lens Aberrations -- 4. Electrostatic and Magnetic Deflection Fields -- 3. The Finite Difference Method -- 1. Local finite 5pt difference equations -- 2. The Matrix Equation -- 3. Truncation errors -- 4. Asymmetric stars -- 5. Material Interfaces -- 6. The nine pointed star in rectilinear coordinates -- 7. Axisymmetric cylindrical coordinates -- 4. Finite Element Concepts -- 1. Finite Elements in one dimension -- 2. The Variational method in two dimensions -- 3. First-order shape functions -- 4. The Galerkin Method -- 5. Nodal equations and Matrix Assembly -- 6. Axisymmetric Cylindrical Coordinates -- 7. Edge elements -- 5. High-Order Elements -- 1. Triangle elements -- 2. Quadrilateral elements -- 3. The Serendipity family of elements -- 6. Elements in Three Dimensions -- 1. Element shape functions -- 2. Generating tetrahedral elements to fit curved boundary surfaces -- 7. FEM formulation in Magnetostatics -- 1. Magnetic vector potential -- 2. The magnetic scalar potential in three dimensions -- 3. Saturation Effects -- 8. Electric Lenses -- 1. Accuracy issues -- 2. Direct ray tracing using off-axis mesh node potentials -- 9. Magnetic Lenses -- 1. Accuracy issues -- 2. Magnetic axial field continuity tests -- 3. Magnetic field computations in three dimensions -- 10. Deflection Fields -- 1. Finite element formulation -- 2. Accuracy tests -- 11. Mesh Related Issues -- 1. Structured vs unstructured -- 2. The Boundary-fitted coordinate method -- 3. Mesh refinement for electron gun simulation -- 4. High-order interpolation -- 5. Flux line refinement for three dimensional electrostatic problems -- 6. Accuracy tests -- Appendix 1: Element Integration formulas -- 1. Gaussian Quadrature -- 2. Triangle elements -- Appendix 2: Second-order 9 node rectangle element pictorial stars -- Appendix 3: Green's Integration formulas -- Appendix 4: Near-axis analytical solution for the solenoid test example -- Appendix 5: Deflection fields for a conical saddle yoke in free space. | |
| 520 | |a This multidisciplinary book is intended to serve as a reference for postgraduate students and researchers working in the fields of charged particle optics or other finite-element-related applications. It is also suitable for use as a graduate text. For the non-specialist in charged particle optics, the opening chapters provide an introduction to the kinds of field problems that occur in charged particle beam systems. A new and comprehensive approach to the subject is taken. The finite element method is placed within a wider framework than strictly charged particle optics. Concepts developed in fluid flow and structural analysis, not hitherto used in charged particle optics, are presented. Benchmark test results provide a way of comparing the finite element method to other field-solving methods. The book also reports on some high-order interpolation techniques and mesh generation methods that will be of interest to other finite element researchers. Additional coverage includes: field theory and field solutions for charged particle optics; aspects of the finite difference method related to the finite element method; finite element theory and procedure, including detailed formulation of local and global matrices; higher-order elements, which can be an effective way of improving finite element accuracy; the finite element method in three dimensions; ways to formulate scalar and vector problems for magnetic fields; and significant reduction of truncation errors using higher-order elements and extrapolation methods. | ||
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| 830 | 0 | |a International series in engineering and computer science ; |v 519. | |
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