東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Classical mechanics and electromagne...

Stupakov, Gennady.

Linked to FindBook

Google Book

Amazon

博客來

Classical mechanics and electromagnetism in accelerator physics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Classical mechanics and electromagnetism in accelerator physics/ by Gennady Stupakov, Gregory Penn.
Author:	Stupakov, Gennady.
other author:	Penn, Gregory.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	x, 280 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	Preface -- Part I Classical Mechanics -- The Basic Formulation of Mechanics: Lagrangian and Hamiltonian Equations of Motion -- Canonical Transformations -- Action-angle Variables and Liouville's Theorem -- Linear and Non-Linear Oscillations -- Coordinate System and Hamiltonian for a Circular Accelerator -- Equations of Motion in Accelerators -- Action-Angle Variables for Betatron Oscillations -- Magnetic Field and Energy Errors -- Non-Linear Resonance and Resonance Overlapping -- The Kinetic Equation -- Part II Electricity and Magnetism -- Self Field of a Relativistic Beam -- Effect of Environment on Electromagnetic Field of a Beam -- Plane Electromagnetic Waves and Gaussian Beams -- Waveguides and RF Cavities -- Radiation and Retarded Potentials -- Dipole Radiation and Scattering of Electromagnetic Waves -- Transition and Diffraction Radiation -- Synchrotron Radiation -- Undulator radiation -- Formation Length of Radiation and Coherent Effects -- Topics in Laser-Driven Acceleration -- Radiation Damping Effects -- Part III End Matter -- Appendix A: Maxwell's Equations, equations of motion, and energy balance in an electromagnetic field -- Appendix B: Lorentz transformations and the relativistic Doppler effect -- Index.
Contained By:	Springer eBooks
Subject:	Mechanics. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-90188-6
ISBN:	9783319901886

Classical mechanics and electromagnetism in accelerator physics
Stupakov, Gennady.

Classical mechanics and electromagnetism in accelerator physics[electronic resource] /by Gennady Stupakov, Gregory Penn. - Cham :Springer International Publishing :2018. - x, 280 p. :ill. (some col.), digital ;24 cm. - Graduate texts in physics,1868-4513. - Graduate texts in physics..

Preface -- Part I Classical Mechanics -- The Basic Formulation of Mechanics: Lagrangian and Hamiltonian Equations of Motion -- Canonical Transformations -- Action-angle Variables and Liouville's Theorem -- Linear and Non-Linear Oscillations -- Coordinate System and Hamiltonian for a Circular Accelerator -- Equations of Motion in Accelerators -- Action-Angle Variables for Betatron Oscillations -- Magnetic Field and Energy Errors -- Non-Linear Resonance and Resonance Overlapping -- The Kinetic Equation -- Part II Electricity and Magnetism -- Self Field of a Relativistic Beam -- Effect of Environment on Electromagnetic Field of a Beam -- Plane Electromagnetic Waves and Gaussian Beams -- Waveguides and RF Cavities -- Radiation and Retarded Potentials -- Dipole Radiation and Scattering of Electromagnetic Waves -- Transition and Diffraction Radiation -- Synchrotron Radiation -- Undulator radiation -- Formation Length of Radiation and Coherent Effects -- Topics in Laser-Driven Acceleration -- Radiation Damping Effects -- Part III End Matter -- Appendix A: Maxwell's Equations, equations of motion, and energy balance in an electromagnetic field -- Appendix B: Lorentz transformations and the relativistic Doppler effect -- Index.

This self-contained textbook with exercises discusses a broad range of selected topics from classical mechanics and electromagnetic theory that inform key issues related to modern accelerators. Part I presents fundamentals of the Lagrangian and Hamiltonian formalism for mechanical systems, canonical transformations, action-angle variables, and then linear and nonlinear oscillators. The Hamiltonian for a circular accelerator is used to evaluate the equations of motion, the action, and betatron oscillations in an accelerator. From this base, we explore the impact of field errors and nonlinear resonances. This part ends with the concept of the distribution function and an introduction to the kinetic equation to describe large ensembles of charged particles and to supplement the previous single-particle analysis of beam dynamics. Part II focuses on classical electromagnetism and begins with an analysis of the electromagnetic field from relativistic beams, both in vacuum and in a resistive pipe. Plane electromagnetic waves and modes in waveguides and radio-frequency cavities are also discussed. The focus then turns to radiation processes of relativistic beams in different conditions, including transition, diffraction, synchrotron, and undulator radiation. Fundamental concepts such as the retarded time for the observed field from a charged particle, coherent and incoherent radiation, and the formation length of radiation are introduced. We conclude with a discussion of laser-driven acceleration of charged particles and the radiation damping effect. Appendices on electromagnetism and special relativity are included, and references are given in some chapters as a launching point for further reading. This text is intended for graduate students who are beginning to explore the field of accelerator physics, but is also recommended for those who are familiar with particle accelerators but wish to delve further into the theory underlying some of the more pressing concerns in their design and operation.

ISBN: 9783319901886

Standard No.: 10.1007/978-3-319-90188-6doiSubjects--Topical Terms:

525881
Mechanics.

LC Class. No.: QC125.2 / .S787 2018

Dewey Class. No.: 531

Classical mechanics and electromagnetism in accelerator physics
LDR:04290nmm a2200325 a 4500 001 2146326
003 DE-He213
005 20181206165244.0
006 m d
007 cr nn 008maaau
008 190227s2018 gw s 0 eng d
020 $a 9783319901886 $q (electronic bk.)
020 $a 9783319901879 $q (paper)
024 7 $a 10.1007/978-3-319-90188-6 $2 doi
035 $a 978-3-319-90188-6
040 $a GP $c GP
041 0 $a eng
050 4 $a QC125.2 $b .S787 2018
072 7 $a PHD $2 bicssc
072 7 $a SCI041000 $2 bisacsh
082 0 4 $a 531 $2 23
090 $a QC125.2 $b .S934 2018
100 1 $a Stupakov, Gennady. $3 3332787
245 1 0 $a Classical mechanics and electromagnetism in accelerator physics $h [electronic resource] / $c by Gennady Stupakov, Gregory Penn.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a x, 280 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Graduate texts in physics, $x 1868-4513
505 0 $a Preface -- Part I Classical Mechanics -- The Basic Formulation of Mechanics: Lagrangian and Hamiltonian Equations of Motion -- Canonical Transformations -- Action-angle Variables and Liouville's Theorem -- Linear and Non-Linear Oscillations -- Coordinate System and Hamiltonian for a Circular Accelerator -- Equations of Motion in Accelerators -- Action-Angle Variables for Betatron Oscillations -- Magnetic Field and Energy Errors -- Non-Linear Resonance and Resonance Overlapping -- The Kinetic Equation -- Part II Electricity and Magnetism -- Self Field of a Relativistic Beam -- Effect of Environment on Electromagnetic Field of a Beam -- Plane Electromagnetic Waves and Gaussian Beams -- Waveguides and RF Cavities -- Radiation and Retarded Potentials -- Dipole Radiation and Scattering of Electromagnetic Waves -- Transition and Diffraction Radiation -- Synchrotron Radiation -- Undulator radiation -- Formation Length of Radiation and Coherent Effects -- Topics in Laser-Driven Acceleration -- Radiation Damping Effects -- Part III End Matter -- Appendix A: Maxwell's Equations, equations of motion, and energy balance in an electromagnetic field -- Appendix B: Lorentz transformations and the relativistic Doppler effect -- Index.
520 $a This self-contained textbook with exercises discusses a broad range of selected topics from classical mechanics and electromagnetic theory that inform key issues related to modern accelerators. Part I presents fundamentals of the Lagrangian and Hamiltonian formalism for mechanical systems, canonical transformations, action-angle variables, and then linear and nonlinear oscillators. The Hamiltonian for a circular accelerator is used to evaluate the equations of motion, the action, and betatron oscillations in an accelerator. From this base, we explore the impact of field errors and nonlinear resonances. This part ends with the concept of the distribution function and an introduction to the kinetic equation to describe large ensembles of charged particles and to supplement the previous single-particle analysis of beam dynamics. Part II focuses on classical electromagnetism and begins with an analysis of the electromagnetic field from relativistic beams, both in vacuum and in a resistive pipe. Plane electromagnetic waves and modes in waveguides and radio-frequency cavities are also discussed. The focus then turns to radiation processes of relativistic beams in different conditions, including transition, diffraction, synchrotron, and undulator radiation. Fundamental concepts such as the retarded time for the observed field from a charged particle, coherent and incoherent radiation, and the formation length of radiation are introduced. We conclude with a discussion of laser-driven acceleration of charged particles and the radiation damping effect. Appendices on electromagnetism and special relativity are included, and references are given in some chapters as a launching point for further reading. This text is intended for graduate students who are beginning to explore the field of accelerator physics, but is also recommended for those who are familiar with particle accelerators but wish to delve further into the theory underlying some of the more pressing concerns in their design and operation.
650 0 $a Mechanics. $3 525881
650 0 $a Electromagnetism. $3 522050
650 0 $a Particle accelerators. $3 705332
650 1 4 $a Physics. $3 516296
650 2 4 $a Classical Mechanics. $3 3216970
650 2 4 $a Microwaves, RF and Optical Engineering. $3 893985
650 2 4 $a Classical Electrodynamics. $3 3135223
650 2 4 $a Particle Acceleration and Detection, Beam Physics. $3 893987
700 1 $a Penn, Gregory. $3 3332788
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Graduate texts in physics. $x 1868-4513. $3 1314540
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-90188-6
950 $a Physics and Astronomy (Springer-11651)