Modern Map Methods in Particle Beam Physics, Volume 108 (Srlances in Imaging & Electron Physics) [Hardcover]

Martin Berz (Editor), Kyoko Makino (Editor), Khodr Shamseddine (Editor), Weishi Wan (Editor)

Book Description

ISBN-10: 0120147505 | ISBN-13: 978-0120147502 | Publication Date: September 27, 1999 | Edition: 1

Advances in Imaging & Electron Physics merges two long-running serials--Advances in Electronics & Electron Physics and Advances in Optical & 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 science and digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains.

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Praise for the Series
"Editing by P.W. Hawkes is immaculate and the production, in the usual style of Advances in Electronics & Electron Physics, results in a volume that will be a handsome addition to any bookshelf."
--MRS BULLETIN
"With the accelerating pace of research and development in so many areas of microscopy, keeping abreast of the widespread literature is becoming increasingly time-consuming. In Advances in Optical & Electron Microscopy the Editors are to be congratulated on bringing together in a convenient and comprehensible form a variety of topics of current interest."
--J.A. Chapman in LABORATORY PRACTICE

Product Details

• Hardcover: 318 pages
• Publisher: Academic Press; 1 edition (September 27, 1999)
• Language: English
• ISBN-10: 0120147505
• ISBN-13: 978-0120147502
• Product Dimensions: 9.1 x 6.1 x 0.8 inches
• Shipping Weight: 1.3 pounds (View shipping rates and policies)
• Average Customer Review: 5.0 out of 5 stars  See all reviews (2 customer reviews)
• Amazon Best Sellers Rank: #2,518,897 in Books (See Top 100 in Books)

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5.0 out of 5 stars Modern Map Methods in Particle Beam Physics, October 2, 2002

By 

Jason Ong Kian Hui (Singapore) - See all my reviews

This review is from: Modern Map Methods in Particle Beam Physics, Volume 108 (Srlances in Imaging & Electron Physics) (Hardcover)

This book is a fine study of the dynamics of beam particles in particle accelerators. It deals with the description of the motion of particles in accelerators to very high precision over short times and the analysis of the topology of the evolution of state space over long times. The book has seven chapters.

Chapter 1 deals with the dynamics of particles and fields. There are 5 subsections : Beams and Beam Physics ; Differential Equations, Determinism and Maps ; Lagrangian Systems ; Hamiltonian Systems ; Fields and Potentials. An interesting idea here is the use of the Hamiltonian to represent energy particle in which the particle can be 'squeezed' and when let go, it returns to its original shape. This property is called symplecity and is akin to the motion of an incompressible liquid within a structure of guidance surfaces : The surfaces can never be crossed, and the closer they lie together, the faster the liquid flows.

Chapter 2 deals with the differential algebraic techniques which are used to study weakly nonlinear motion of particles in accelerators linked to the common concept of the transfer map of the dynamics of those particles. There are 5 subsections here :
Differential Algebraic Techniques ; Function Spaces and Their Algebras ; Taylor Differential Algebras ; Advanced Methods ;
Appendix on Third ODE Integrator.

Chapter 3 deals with Fields. All the fields here are governed by Maxwell's equation. There are 2 subsections here : Analytic Field Representation ; Practical Utilization of Field Information.

Chapter 4 deals with the properties of maps. Maps are used to describe the flows for the ordinary differential equations occurring in beam physics. There are 4 subsections :
Maps : Properties ; Manipulations ; Symmetries ; Representations.

Chapter 5 deals with the calculation of maps. There are 5 subsections : Maps : Calculation ; The Particle Optical Equations of Motion ; Equations of Motion for Spin ; Maps Determined by Algebraic Relations ; Maps Determined by Differential Equations.

Chapter 6 deals with imaging systems. As described in the book, imaging systems are devices used for the purpose of measuring position, momentum, energy or mass of charged particles, in which microscopes and spectrometers are included. There are 4 subsections : Introduction ; Aberration and Their Correction ;
Reconstructive Correction of Aberrations ; Aberration Correction via Repetitive Symmetry.

Chapter 7 deals with repetitive systems. As described in the book, all repetitive systems require that the particles remain confined in the ring, which means that the motion is stable in that their coordinates do not exceed a certain bound d. The study of the dynamics of repetitive systems has long been a key concern of beam physics. There are 5 subsections : Repetitive
Systems ; Linear Theory ; Parameter-Dependent Linear Theory ;
Normal Forms ; Symplectic Tracking.

The book is a liking for those who love mathematics. Going through the book, one can find and is amazed how mathematics can provide the modern technology for the construction of very effective and very accurate accelerator machines to meet the objectives of various scientific fields.

5.0 out of 5 stars Modern Map Methods in Particle Beam Physics, June 22, 2002

By 

Jason Ong Kian Hui (Singapore) - See all my reviews

This review is from: Modern Map Methods in Particle Beam Physics, Volume 108 (Srlances in Imaging & Electron Physics) (Hardcover)

This book is a fine study of the dynamics of beam particles exhibited in particle accelerators. It deals with the description of the motion of particles in accelerators to very high precision over short times and the analysis of the topology of the evolution of state space over long times. The book has seven chapters.

Chapter 1 deals with the dynamics of particles and fields. There are 5 subsections : Beams and Beam Physics ; Differential Equations, Determinism and Maps ; Lagrangian Systems ; Hamiltonian Systems ; Fields and Potentials. An interesting idea here is the use of the Hamiltonian to represent energy particle
in which the particle can be ' squeezed ' and when let go, it returns to its original shape. This property is called symplecity and is akin to the motion of an incompressible liquid within a structure of guidance surfaces : The surfaces can never be crossed, and the closer they lie together, the faster the liquid flows.

Chapter 2 deals with the differential algebraic techniques which are used to study weakly nonlinear motion of particles in accelerators linked to the common concept of the transfer map of the dynamics of those particles. There are 5 subsections here :
Differential Algebraic Techniques ; Function Spaces and Their Algebras ; Taylor Differential Algebras ; Advanced Methods ;
Appendix on Third ODE Integrator.

Chapter 3 deals with Fields. All the fields here are governed by Maxwell's equations. There are 2 subsections here : Analytic Field Representation ; Practical Utilization of Field Information.

Chapter 4 deals with the properties of maps. Maps are used to describe the flows for the ordinary differential equations occurring in beam physics. There are 4 subsections :
Maps : Properties ; Manipulations ; Symmetries ; Representations.

Chapter 5 deals with the calculation of maps. There are 5 subsections : Maps : Calculation ; The Particle Optical Equations of Motion ; Equations of Motion for Spin ; Maps Determined by Algebraic Relations ; Maps Determined by Differential Equations.

Chapter 6 deals with imaging systems. As described in the book, imaging systems are devices used for the purpose of measuring position, momentum , energy or mass of charged particles, in which microscopes and spectrometers are included. There are 4 subsections : Introduction ; Aberration and Their Correction ;
Reconstructive Correction of Aberrations ; Aberration Correction via Repetitive Symmetry .

Chapter 7 deals with repetitive systems. As described in the book, all repetitive systems require that the particles remain
confined in the ring, which means that the motion is stable in that their coordinates do not exceed a certain bound d. The study of the dynamics of repetitive systems has long been a key concern of beam physics. There are 5 subsections : Repetitive Systems ; Linear Theory ; Parameter-Dependent Linear Theory ;
Normal Forms ; Symplectic Tracking.

The book is a liking for those who love mathematics. Going through the book, one can find and is amazed how mathematics can provide the modern technology for the construction of very effective and very accurate accelerator machines to meet the objectives of various scientific fields.