Analytical, approximate-analytical and numerical methods in the design of energy analyzers / Victor S. Gurov, Arman O. Saulebekov, Andrey A. Trubitsyn ; translated by Mikhail A. Monastyrskiy.

Format:

Book

Author/Creator:

Gurov, Victor S., author.

Saulebekov, Arman O., author.

Trubitsyn, Andrey A., author.

Contributor:

Mikhail A. Monastyrskiy., translator.

Series:

Advances in Imaging and Electron Physics

Advances in Imaging and Electron Physics, 1076-5670 ; Volume 192

Language:

English

Subjects (All):

Electrons.

Force and energy.

Physical Description:

1 online resource (286 p.)

Edition:

First edition.

Place of Publication:

Amsterdam, [Netherlands] : Academic Press, 2015.

Language Note:

English

Summary:

Advances in Imaging and Electron Physics merges two long-running serials, Advances in Electronics and Electron Physics and Advances in Optical and Electron Microscopy.The series features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image.

Contents:

Front Cover

Analytical, Approximate-Analytical and Numerical Methods in the Design of Energy Analyzers

Copyright

Contents

Foreword

Preface

Future Contributions

Chapter One: Energy Analysis of Charged Particle Flows

1. Basic Parameters

2. Main Types of Energy Analyzers

3. Advanced Energy Analyzers

Chapter Two: Analytical Design Methods

1. Focusing Properties of Electrostatic Mirrors with Ideal Cylindrical Fields

2. Focusing Properties of Electrostatic Mirrors with Ideal Hyperbolic Fields

2.1. 2D Hyperbolic Electrostatic Fields

2.2. 3D Hyperbolic Electrostatic Fields

Chapter Three: Approximate-Analytical Method of Calculating the Charged Particle Trajectories in Electrostatic Fields

1. Integro-Differential Equation of Charged Particle Trajectories in the Electrostatic Hexapole-Cylindrical Field U(r,z) ...

2. Calculation of Charged Particle Trajectories in the Electrostatic Hexapole-Cylindrical Field U(r,z) = lnr + γUh(r,z)

3. Electron-Optical Properties of the Hexapole-Cylindrical Energy Analyzer with End-Face Electrodes (γ=-1)

4. Electron-Optical Properties of the Hexapole-Cylindrical Energy Analyzer with γ=1

5. Analysis of Electron-Optical Characteristics of the Energy Analyzer with the Field Distribution U (r,z) = 52 lnr-Uh (r,z)

Chapter Four: Numerical Methods in the Design of Energy Analyzers

1. Methods for Numerical Simulation of Electrostatic Fields

2. Main Approaches to Solving the Problems of Potential Theory Using BEM

3. General Techniques for Calculating the Integrals of Functions with Singularities

4. Using BEM to Solve the Interior Dirichlet Problem

4.1. Numerical Realization

4.2. Calculating Integrals of Functions with Singularities in Solving the Inverse Problem

4.3. Calculation of Quasi-singular Integrals in Solving the Direct Problem.

5. Exterior Dirichlet Problem and Calculating the Integrals of Functions with Singularities

6. Numerical Calculation of Potential Gradient

6.1. Investigating the Accuracy of Potential Gradient Calculation Using Finite-Difference Formulas

6.2. Investigating the Accuracy of Potential Gradient Calculation Using Shifted Finite-Difference Formulas

6.3. Investigating the Accuracy of Gradient Calculation Using DFT

6.4. 2D Interpolation of Potential Gradient

6.5. 3D Interpolation of Axisymmetric Potential Gradient

7. Trajectory Analysis Techniques in Corpuscular-Optical Systems

8. Correlation Method for Seeking the Conditions of Higher-Order Angular Focusing

9. Examples of Numerical Simulation of Energy Analyzers

9.1. Systems Based on Cylindrical Optics

9.1.1. High-Resolution Energy Analyzer

9.1.2. Energy Analyzer with Angular Resolution

9.2. Systems Based on Conical Optics

9.2.1. Systems with Superposed Vertices

9.2.2. Systems with Parallel Generatrices

9.3. Systems Based on Spherical Optics

Appendices

Appendix 1. Some Intermediate Mathematical Calculations Relevant to Chapter 3

Appendix 2. The Relationship Between the Output Parameters of the Energy Analyzers Considered in Chapter 3 and Initial and...

Appendix 3. Boundary Element Method (BEM) for Calculating the Potential and Its Gradient in Planar Systems

A3.1. Using the Boundary Elements Method (BEM) to Solve the Planar Dirichlet Problem

A3.2. Calculation of the Regular Integral Fj(ξ)

A3.3. Calculation of the Regular Integral Hj(ξ)

A3.4. Calculation of Potential Distribution

A3.4.1. Singularity Problem

A3.4.1.1. Calculation of Hii

A3.4.1.2. Calculation of Fii

A3.4.2. Inverse Problem Solution

A3.4.3. Direct Problem Solution

A3.5. Field Calculation

A3.6. Testing the Method

References.

Contents of Volumes 151-191

Index

Color Plate

Analytical, Approximate-Analytical, and Numerical Methods for Design of Energy Analyzers

Brief Annotation

Back Cover.

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (ebrary, viewed November 19, 2015).

Description based on publisher supplied metadata and other sources.

ISBN:

9780128025185

0128025182

9780128022528

0128022523

OCLC:

929532060