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Numerical Field Calculation for Charged Particle Optics 1st Edition by Peter W Hawkes ISBN 0120147580 9780120147588

  • SKU: BELL-2001818
Numerical Field Calculation for Charged Particle Optics 1st Edition by Peter W Hawkes ISBN 0120147580 9780120147588
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Numerical Field Calculation for Charged Particle Optics 1st Edition by Peter W Hawkes ISBN 0120147580 9780120147588 instant download after payment.

Publisher: Elsevier, Academic Press
File Extension: PDF
File size: 16.42 MB
Pages: 1
Author: Erwin Kasper (Eds.)
ISBN: 9780120147588, 0120147580
Language: English
Year: 2001
Edition: 1

Product desciption

Numerical Field Calculation for Charged Particle Optics 1st Edition by Peter W Hawkes ISBN 0120147580 9780120147588 by Erwin Kasper (eds.) 9780120147588, 0120147580 instant download after payment.

Numerical Field Calculation for Charged Particle Optics 1st Edition by Peter W Hawkes - Ebook PDF Instant Download/Delivery: 0120147580, 9780120147588
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Product details:

ISBN 10: 0120147580 
ISBN 13: 9780120147588
Author: Peter W Hawkes

Advances in Imaging and Electron Physics merges two long-running serials-Advances in Electronics and Electron Physics and Advances in Optical and Electron Microscopy. This series features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science and digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains.

Numerical Field Calculation for Charged Particle Optics 1st Table of contents:

Chapter 1: Introduction to Charged Particle Optics

  • 1.1 What are Charged Particle Optics?

  • 1.2 Applications of Charged Particle Optics

    • 1.2.1 Electron Microscopes (SEM, TEM)

    • 1.2.2 Mass Spectrometry

    • 1.2.3 Particle Accelerators

    • 1.2.4 Ion Implantation

  • 1.3 The Need for Numerical Field Calculation

  • 1.4 Overview of the Book

Chapter 2: Mathematical and Physical Foundations

  • 2.1 Maxwell's Equations and Electrostatics

    • 2.1.1 Gauss's Law and Electrostatic Potential

    • 2.1.2 Poisson's Equation and Laplace's Equation

  • 2.2 Magnetic Fields and Magnetostatics

    • 2.2.1 Ampere's Law

    • 2.2.2 The Biot-Savart Law

  • 2.3 Lorentz Force and Particle Trajectories

  • 2.4 Boundary Conditions

    • 2.4.1 Dirichlet Boundary Conditions

    • 2.4.2 Neumann Boundary Conditions

    • 2.4.3 Mixed Boundary Conditions

  • 2.5 Discretization and Grids

Chapter 3: Numerical Methods for Electrostatic Field Calculation

  • 3.1 The Finite Difference Method (FDM)

    • 3.1.1 Discretization of the Laplace and Poisson Equations

    • 3.1.2 Finite Difference Stencils (5-point, 9-point)

    • 3.1.3 Handling Irregular Boundaries

  • 3.2 The Finite Element Method (FEM)

    • 3.2.1 Variational Formulation

    • 3.2.2 Shape Functions and Element Types (Triangles, Quadrilaterals)

    • 3.2.3 Assembly of the Global Stiffness Matrix

  • 3.3 The Boundary Element Method (BEM)

    • 3.3.1 Green's Functions and Integral Equations

    • 3.3.2 Advantages and Disadvantages of BEM

  • 3.4 Comparison of Numerical Methods (FDM, FEM, BEM)

Chapter 4: Numerical Methods for Magnetostatic Field Calculation

  • 4.1 The Vector Potential (A)

  • 4.2 Finite Difference Method for Magnetostatics

  • 4.3 Finite Element Method for Magnetostatics

    • 4.3.1 Formulation using the Vector Potential

    • 4.3.2 Handling Iron and Ferromagnetic Materials

  • 4.4 The Biot-Savart Law for Coil Geometries

  • 4.5 Special Considerations for Symmetries (Axisymmetry)

Chapter 5: Relativistic Effects and Space Charge

  • 5.1 Relativistic Equations of Motion

  • 5.2 Space Charge Effects and the Poisson-Vlasov Equation

  • 5.3 Iterative Methods for Space Charge (PIC - Particle-in-Cell)

    • 5.3.1 Charge Assignment

    • 5.3.2 Field Calculation

    • 5.3.3 Particle Pushing

    • 5.3.4 Interpolation

Chapter 6: Particle Trajectory Calculation

  • 6.1 Equations of Motion and the Lorentz Force

  • 6.2 Numerical Integration Methods

    • 6.2.1 Euler Method

    • 6.2.2 Runge-Kutta Methods (RK4)

    • 6.2.3 Symplectic Integrators

  • 6.3 Ray Tracing and Beam Envelopes

Chapter 7: Practical Implementation and Software

  • 7.1 Pre-processing: Geometry and Mesh Generation

  • 7.2 Solving Linear Systems of Equations

    • 7.2.1 Direct Solvers (LU decomposition)

    • 7.2.2 Iterative Solvers (Jacobi, Gauss-Seidel, Conjugate Gradient)

  • 7.3 Post-processing: Field and Trajectory Visualization

  • 7.4 Commercial and Open-Source Software for Charged Particle Optics (e.g., SIMION, COMSOL, Warp, GPT)

Chapter 8: Advanced Topics and Case Studies

  • 8.1 Aberrations in Charged Particle Lenses

  • 8.2 Time-Varying Fields (RF cavities)

  • 8.3 Applications in specific devices (e.g., Electron Gun, Quadrupole Lens)

  • 8.4 Optimization of Electrode and Coil Shapes

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Tags: Peter W Hawkes, Numerical, Calculation

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