Battling Maxwell s Equations Physics Challenges and Solutions for Hybrid MRI Systems
|
|
- Madeline McDonald
- 6 years ago
- Views:
Transcription
1 Battling Maxwell s Equations Physics Challenges and Solutions for Hybrid MRI Systems SYDNEY MEDICAL SCHOOL PAUL KEALL, BRENDAN WHELAN and BRAD OBORN Representing The Australian MRI-Linac Program Team
2 Patents: Awarded and pending Licenses: Nano-X, Respiratory Innovations, Standard Imaging, Varian Grants: Philips (Co-Investigator), Varian (Co-I) Ownership: Cancer Research Innovations, Nano-X, Respiratory Innovations Disclosures 3
3 Introduction Battling Maxwell s Equations Physics Challenges and Solutions for Hybrid MRI Systems AAPM 2015
4 5
5 Maxwell s equations describe which forces? A. Electric and gravitational B. Electric and magnetic C. Gravitational and magnetic D. Nuclear strong and weak 100% 0% 0% 0% A. B. C. D.
6 Maxwell s equations describe which forces? A. Electric and gravitational B. Electric and magnetic C. Gravitational and magnetic D. Nuclear strong and weak Ref: Classical Electrodynamics. Jackson (3 rd edition). Free download!
7 EM Fields in an MRI Linac 8
8 B 0 field from superposition of current loops (Biot-Savart law) EM Fields in an MRI Linac 9
9 Gradient fields (Ampere s law) EM Fields in an MRI Linac 10
10 RF transmit/receive (wave equation) EM Fields in an MRI Linac 11
11 Changing magnetic fields (Eddy currents) EM Fields in an MRI Linac 12
12 Electrostatic field in electron gun (Gauss s law, Lorentz force effects) EM Fields in an MRI Linac 13
13 RF in accelerating cavity (wave equation [no particles]) EM Fields in an MRI Linac 14
14 B 0 effect on treatment head and patient transport (Lorentz force) EM Fields in an MRI Linac 15
15 Ferromagnetic material impact on MRI (Ampere s law) EM Fields in an MRI Linac 16
16 Magnetic field effects on the linac electron gun Battling Maxwell s Equations Physics Challenges and Solutions for Hybrid MRI Systems AAPM 2015
17 MRI field for a 1T split bore design Courtesy Agilent
18 Electron Gun Thermionic cathode Anode Electron Beam Focusing Electrode 1 st Accelerating Cavity Courtesy Brendan Whelan 19
19 Impact of B fields on unshielded guns T T 0 T T 0.004T Constantin Med Phys
20 Inline (B 0 electron beam) and perpendicular (B 0 electron beam) magnetic fields affect linac electron guns by: 67% 21% 7% 5% A. Inline fields affect the beam focus; perpendicular fields deflect the electrons away from the anode B. Inline fields deflect the electrons away from the anode; perpendicular fields affect the beam focus C. Inline fields and perpendicular fields affect the beam focus D. Inline fields and perpendicular fields deflect the electrons away from the anode Note: = parallel; = perpendicular, orthogonal
21 Inline (B 0 electron beam) and perpendicular (B 0 electron beam) magnetic fields affect linac electron guns by: A. Inline fields affect the beam focus; perpendicular fields deflect the electrons away from the anode B. Inline fields deflect the electrons away from the anode; perpendicular fields affect the beam focus C. Inline fields and perpendicular fields affect the beam focus D. Inline fields and perpendicular fields deflect the electrons away from the anode Ref: Constantin, D. E., Fahrig, R., & Keall, P. J. (2011). A study of the effect of in-line and perpendicular magnetic fields on beam characteristics of electron guns in medical linear accelerators. Med Phys, 38(7),
22 Magnetic field effects on the linac waveguide Battling Maxwell s Equations Physics Challenges and Solutions for Hybrid MRI Systems AAPM 2015
23 An example accelerator Courtesy Brendan Whelan
24 Electron transport in a linac Courtesy Brendan Whelan
25 Electrons in a linac: B = 0.1T inline Courtesy Brendan Whelan
26 Electrons in a linac: B = 0.05T perp. Courtesy Brendan Whelan
27 Magnetic field effects on treatment head/patient radiation transport Battling Maxwell s Equations Physics Challenges and Solutions for Hybrid MRI Systems AAPM 2015
28 Skin dose in magnetic fields B = 0T Inline B = 1T MRI Oborn Med Phys 2014 Perpendicular Keyvanloo Med Phys 2012
29 Inline (B 0 electron beam) and perpendicular (B 0 electron beam) magnetic fields affect the transport of electrons generated in the treatment head and air column. Which of the following statements is correct? 1% 19% 20% 57% 3% A. Inline and perpendicular fields both decrease the skin dose B. Inline and perpendicular fields both increase the skin dose C. Inline fields decrease the skin dose and perpendicular fields increase the skin dose D. Inline fields increase the skin dose and perpendicular fields decrease the skin dose E. The magnetic field has no effect on the skin dose Note: = parallel; = perpendicular, orthogonal
30 Inline (B 0 electron beam) and perpendicular (B 0 electron beam) magnetic fields affect the transport of electrons generated in the treatment head and air column. Which of the following statements is correct? A. Inline and perpendicular fields both decrease the skin dose B. Inline and perpendicular fields both increase the skin dose C. Inline fields decrease the skin dose and perpendicular fields increase the skin dose D. Inline fields increase the skin dose and perpendicular fields decrease the skin dose E. The magnetic field has no effect on the skin dose Oborn Med Phys 2014 Keyvanloo Med Phys 2012
31 Linac effects on the magnetic field Battling Maxwell s Equations Physics Challenges and Solutions for Hybrid MRI Systems AAPM 2015
32 MLCs are magnetic
33 Impact of MLCs on magnetic uniformity Setup Agilent split-bore MRI magnet B 0 = 1.0 T Two beam orientations SID: Source-to-isocentre distance Kolling Med Phys 2013
34 Impact of MLCs on magnetic uniformity Increase separation MRI imaging volume Kolling Med Phys 2013
35 The main effect that the ferromagnetic materials in the linac have on the MRI operation is in the: A. Gradient system B. Magnetic field uniformity C. Power system D. Cooling system E. Radiofrequency system 85% 5% 0% 1% 8% A. B. C. D. E.
36 The main effect that the ferromagnetic materials in the linac have on the MRI operation is in the: A. Gradient system B. Magnetic field uniformity C. Power system D. Cooling system E. Radiofrequency system
37 Summary Battling Maxwell s Equations Physics Challenges and Solutions for Hybrid MRI Systems AAPM 2015
38 Summary MRI physics and engineering is challenging Linac physics and engineering is challenging MRI-Linac physics and engineering is challenging 2 Is it worth it? - Anatomy - Physiology - Beyond oncology Bjerre Phys Med Biol 2013
Physics. Sunday, March 4, :30 a.m. 10:00 a.m.
Physics Sunday, March 4, 2018 9:30 a.m. 10:00 a.m. Social Q&A Use your phone, tablet, or laptop to Submit questions to speakers and moderators Answer interactive questions / audience response polls astro.org/refreshersocialqa
More informationPHYSICS LECTURES ON. 'ftt/tatt DEFINITIVE EDITION VOLUME II FEYNMAN LEIGHTON SANDS. Addison Wesley PEARSON
'ftt/tatt LECTURES ON PHYSICS DEFINITIVE EDITION FEYNMAN LEIGHTON SANDS PEARSON Addison Wesley San Francisco Boston New York CapeTown Hong Kong London Madrid MexicoCity Montreal Munich Paris Singapore
More informationMagnetic removal of electron contamination in radiotherapy x-ray beams
University of Wollongong Research Online University of Wollongong Thesis Collection 1954-2016 University of Wollongong Thesis Collections 2006 Magnetic removal of electron contamination in radiotherapy
More informationELECTROMAGNETISM. Second Edition. I. S. Grant W. R. Phillips. John Wiley & Sons. Department of Physics University of Manchester
ELECTROMAGNETISM Second Edition I. S. Grant W. R. Phillips Department of Physics University of Manchester John Wiley & Sons CHICHESTER NEW YORK BRISBANE TORONTO SINGAPORE Flow diagram inside front cover
More informationChapter 19. Magnetism
Chapter 19 Magnetism Magnetic Fields and Forces Fundamentally they do not exist If we had special relativity we would find there is no such thing as a magnetic field. It is only a relativistic transformation
More informationUNIT I ELECTROSTATIC FIELDS
UNIT I ELECTROSTATIC FIELDS 1) Define electric potential and potential difference. 2) Name few applications of gauss law in electrostatics. 3) State point form of Ohm s Law. 4) State Divergence Theorem.
More informationManipulation on charged particle beam for RT benefit.
High Electron Beam Dose Modification using Transverse Magnetic Fields Ion Chamber Response Modification under Strong Magnetic Field Conditions Sion Koren, Radiation Oncology Preface Manipulation on charged
More informationYou should be able to demonstrate and show your understanding of:
OCR B Physics H557 Module 6: Field and Particle Physics You should be able to demonstrate and show your understanding of: 6.1: Fields (Charge and Field) Field: A potential gradient Field Strength: Indicates
More informationMeasurement of Charge-to-Mass (e/m) Ratio for the Electron
Measurement of Charge-to-Mass (e/m) Ratio for the Electron Experiment objectives: measure the ratio of the electron charge-to-mass ratio e/m by studying the electron trajectories in a uniform magnetic
More information!"#$%$!&'()$"('*+,-')'+-$#..+/+,0)&,$%.1&&/$ LONGITUDINAL BEAM DYNAMICS
LONGITUDINAL BEAM DYNAMICS Elias Métral BE Department CERN The present transparencies are inherited from Frank Tecker (CERN-BE), who gave this course last year and who inherited them from Roberto Corsini
More informationResponse Characteristics of a Large-Area Ion Chamber with Various Radiotherapy Beams Makan Farrokhkish, B.Sc.
Response Characteristics of a Large-Area Ion Chamber with Various Radiotherapy Beams Makan Farrokhkish, B.Sc. Department of Radiation Physics, Radiation Medicine Program Princess Margaret Cancer Centre,
More informationMagnetic Force Cyclotron motion
Lecture 17 Chapter 29 Magnetic Force Cyclotron motion Messiah!? Miraculous appearance out of the blue. Course website: http://faculty.uml.edu/andriy_danylov/teaching/physicsii Today we are going to discuss:
More informationToday s lecture: Motion in a Uniform Magnetic Field continued Force on a Current Carrying Conductor Introduction to the Biot-Savart Law
PHYSICS 1B Today s lecture: Motion in a Uniform Magnetic Field continued Force on a Current Carrying Conductor Introduction to the Biot-Savart Law Electricity & Magnetism A Charged Particle in a Magnetic
More informationSimulation of therapeutic electron beam tracking through a non-uniform magnetic field using finite element method
Electronic Physician (ISSN: 2008-5842) April 2017, Volume: 9, Issue: 4, Pages: 4171-4179, DOI: http://dx.doi.org/10.19082/4171 Simulation of therapeutic electron beam tracking through a non-uniform magnetic
More informationMagnetic Force Cyclotron motion
Lecture 15 Chapter 29 Physics II Magnetic Force Cyclotron motion Course website: http://faculty.uml.edu/andriy_danylov/teaching/physicsii Today we are going to discuss: Chapter 29: Section 29.7 (Skip the
More informationCHAPTER 7 ELECTRODYNAMICS
CHAPTER 7 ELECTRODYNAMICS Outlines 1. Electromotive Force 2. Electromagnetic Induction 3. Maxwell s Equations Michael Faraday James C. Maxwell 2 Summary of Electrostatics and Magnetostatics ρ/ε This semester,
More informationNeutron source strength measurements for Varian, Siemens, Elekta, and General Electric linear accelerators
JOURNAL OF APPLIED CLINICAL MEDICAL PHYSICS, VOLUME 4, NUMBER 3, SUMMER 2003 Neutron source strength measurements for Varian, Siemens, Elekta, and General Electric linear accelerators David S. Followill,*
More informationShort Introduction to (Classical) Electromagnetic Theory
Short Introduction to (Classical) Electromagnetic Theory (.. and applications to accelerators) Werner Herr, CERN (http://cern.ch/werner.herr/cas/cas2013 Chavannes/lectures/em.pdf) Why electrodynamics?
More informationCHAPTER 2. COULOMB S LAW AND ELECTRONIC FIELD INTENSITY. 2.3 Field Due to a Continuous Volume Charge Distribution
CONTENTS CHAPTER 1. VECTOR ANALYSIS 1. Scalars and Vectors 2. Vector Algebra 3. The Cartesian Coordinate System 4. Vector Cartesian Coordinate System 5. The Vector Field 6. The Dot Product 7. The Cross
More informationThis lab was adapted from Kwantlen University College s Determination of e/m lab.
e /m: Charge to Mass Ratio of the Electron This lab was adapted from Kwantlen University College s Determination of e/m lab. Purpose To determine the charge to mass ratio of the electron, e /m, using Helmholtz
More informationAS to BS in Medical Dosimetry. Core Curriculum Course Descriptions
AS to BS in Medical Dosimetry Core Curriculum Course Descriptions MD301 RADIATION DOSIMETRY This course focuses on introducing radiation terminology used in radiation dosimetry. Fundamental dose calculation
More informationTHE CHARGE-TO-MASS RATIO OF THE ELECTRON (e/m)
THE CHARGE-TO-MASS RATIO OF THE ELECTRON (e/m) INTRODUCTION In this experiment you will be measuring the charge to mass ratio, e/m, of the electron. The h/e apparatus consists of an electron gun, a helium
More informationLecture 13. Magnetic Field, Magnetic Forces on Moving Charges.
Lecture 13. Magnetic Field, Magnetic Forces on Moving Charges. What are magnetic forces? Forces between magnets Forces between magnets and magnetizable materials Forces between magnets and moving charges
More informationUnits (Different systems of units, SI units, fundamental and derived units)
Physics: Units & Measurement: Units (Different systems of units, SI units, fundamental and derived units) Dimensional Analysis Precision and significant figures Fundamental measurements in Physics (Vernier
More informationPhysicsAndMathsTutor.com 1
PhysicsAndMathsTutor.com 1 1. Millikan determined the charge on individual oil droplets using an arrangement as represented in the diagram. The plate voltage necessary to hold a charged droplet stationary
More informationPhysics of Novel Radiation Modalities Particles and Isotopes. Todd Pawlicki, Ph.D. UC San Diego
Physics of Novel Radiation Modalities Particles and Isotopes Todd Pawlicki, Ph.D. UC San Diego Disclosure I have no conflicts of interest to disclose. Learning Objectives Understand the physics of proton
More informationChapter 5. Magnetostatics
Chapter 5. Magnetostatics 5.1 The Lorentz Force Law 5.1.1 Magnetic Fields Consider the forces between charges in motion Attraction of parallel currents and Repulsion of antiparallel ones: How do you explain
More informationANNAI MATHAMMAL SHEELA ENGINEERING COLLEGE COURSE DELIVERY PLAN. Sub Code & Name: EE6302 & Electromagnetic Theory Year / Sem: II / IV
ANNAI MATHAMMAL SHEELA ENGINEERING COLLEGE COURSE DELIVERY PLAN Name of the Department: EEE Name of the Staff: Sub Code & Name: EE6302 & Electromagnetic Theory Year / Sem: II / IV 1 22.06.15 UNIT I ELECTROSTATICS
More informationA comparison of methods for monitoring photon beam energy constancy
JOURNAL OF APPLIED CLINICAL MEDICAL PHYSICS, VOLUME 17, NUMBER 6, 2016 A comparison of methods for monitoring photon beam energy constancy Song Gao, 1a Peter A. Balter, 1 Mark Rose, 2 and William E. Simon
More informationEstimate of Photonuclear Reaction in a Medical Linear Accelerator Using a Water-Equivalent Phantom
Progress in NUCLEAR SCIENCE and TECHNOLOGY, Vol. 2, pp.83-87 (2) ARTICLE Estimate of Photonuclear Reaction in a Medical Linear Accelerator Using a Water-Equivalent Phantom Toshioh FUJIBUCHI,2,*, Satoshi
More informationExperiment V Motion of electrons in magnetic field and measurement of e/m
Experiment V Motion of electrons in magnetic field and measurement of e/m In Experiment IV you observed the quantization of charge on a microscopic bead and measured the charge on a single electron. In
More informationTheory of Electromagnetic Fields
Theory of Electromagnetic Fields Andrzej Wolski University of Liverpool, and the Cockcroft Institute, UK Abstract We discuss the theory of electromagnetic fields, with an emphasis on aspects relevant to
More information2. With the help of diagram explain the Edison s discovery of thermionic emission. Mention the observations and the conclusion.
Work Sheet - 1 1. Explain the following terms i) Bound Electrons ii) Conduction/free electrons iii) Work function iv) Thermionic emission 2. With the help of diagram explain the Edison s discovery of thermionic
More informationClassical electromagnetism - Wikipedia, the free encyclopedia
Page 1 of 6 Classical electromagnetism From Wikipedia, the free encyclopedia (Redirected from Classical electrodynamics) Classical electromagnetism (or classical electrodynamics) is a branch of theoretical
More informationChapter 5 Summary 5.1 Introduction and Definitions
Chapter 5 Summary 5.1 Introduction and Definitions Definition of Magnetic Flux Density B To find the magnetic flux density B at x, place a small magnetic dipole µ at x and measure the torque on it: N =
More informationAmpere s law. Lecture 15. Chapter 32. Physics II. Course website:
Lecture 15 Chapter 32 Physics II Ampere s law Course website: http://faculty.uml.edu/andriy_danylov/teaching/physicsii Ampere s Law Electric Field From Coulomb s law 1 4 Magnetic Field Bio-Savart law 4
More informationClassical Field Theory
April 13, 2010 Field Theory : Introduction A classical field theory is a physical theory that describes the study of how one or more physical fields interact with matter. The word classical is used in
More informationPhysics For Scientists and Engineers A Strategic Approach 3 rd Edition, AP Edition, 2013 Knight
For Scientists and Engineers A Strategic Approach 3 rd Edition, AP Edition, 2013 Knight To the Advanced Placement Topics for C *Advanced Placement, Advanced Placement Program, AP, and Pre-AP are registered
More informationInitial Certification
Initial Certification Medical Physics Part 1 Content Guide Part 1 Content Guides and Sample Questions PLEASE NOTE: List of Constants and Physical Values for Use on the Part 1 Physics Exam The ABR provides
More informationSimulation Modeling in Dosimetry
Simulation Modeling in Dosimetry Aleksei Zhdanov Ural Federal University named after the first President of Russia B. N. Yeltsin, Yekaterinburg, Russian Federation jjj1994@yandex.ru Leonid Dorosinskiy
More informationElectromagnetic Theory: PHAS3201, Winter 2008 Preliminaries D. R. Bowler drb/teaching.
Electromagnetic Theory: PHA3201, Winter 2008 Preliminaries D. R. Bowler david.bowler@ucl.ac.uk http://www.cmmp.ucl.ac.uk/ drb/teaching.html 1 yllabus The course can be split into three main areas: electric
More informationApplication Force Planck has two bars. Application Force Planck two rods (or two bars)
Application Force Planck has two bars Application Force Planck two rods (or two bars) Planck force that we know is a force that can represented a gravitational force between two spherical masses, but you
More informationwe can said that matter can be regarded as composed of three kinds of elementary particles; proton, neutron (no charge), and electron.
Physics II we can said that matter can be regarded as composed of three kinds of elementary particles; proton, neutron (no charge), and electron. Particle Symbol Charge (e) Mass (kg) Proton P +1 1.67
More informationChapter 28 Magnetic Fields Sources
Chapter 28 Magnetic Fields Sources All known magnetic sources are due to magnetic dipoles and inherently macroscopic current sources or microscopic spins and magnetic moments Goals for Chapter 28 Study
More informationChapter 5. Magnetostatics
Chapter 5. Magnetostatics 5.4 Magnetic Vector Potential 5.1.1 The Vector Potential In electrostatics, E Scalar potential (V) In magnetostatics, B E B V A Vector potential (A) (Note) The name is potential,
More informationOverview and Status of the Austrian Particle Therapy Facility MedAustron. Peter Urschütz
Overview and Status of the Austrian Particle Therapy Facility MedAustron Peter Urschütz MedAustron Centre for ion beam therapy and non-clinical research Treatment of 1200 patients/year in full operation
More informationPhysical design of FEL injector based on performance-enhanced EC-ITC RF gun
Accepted by Chinese Physics C Physical design of FEL injector based on performance-enhanced EC-ITC RF gun HU Tong-ning( 胡桐宁 ) 1, CHEN Qu-shan( 陈曲珊 ) 1, PEI Yuan-ji( 裴元吉 ) 2; 1), LI Ji( 李骥 ) 2, QIN Bin(
More informationHaus, Hermann A., and James R. Melcher. Electromagnetic Fields and Energy. Englewood Cliffs, NJ: Prentice-Hall, ISBN:
MIT OpenCourseWare http://ocw.mit.edu Haus, Hermann A., and James R. Melcher. Electromagnetic Fields and Energy. Englewood Cliffs, NJ: Prentice-Hall, 1989. ISBN: 9780132490207. Please use the following
More informationMaxwell s equations and EM waves. From previous Lecture Time dependent fields and Faraday s Law
Maxwell s equations and EM waves This Lecture More on Motional EMF and Faraday s law Displacement currents Maxwell s equations EM Waves From previous Lecture Time dependent fields and Faraday s Law 1 Radar
More informationComputing Lorentz forces generated by gradient coils in an open MRI system
ANZIAM J. 49 (EMAC27) pp.c423 C438, 28 C423 Computing Lorentz forces generated by gradient coils in an open MRI system M. A. Brideson J. Jackson 2 L. K. Forbes 3 S. Crozier 4 (Received August 27; revised
More information!"#$%$!&'()$"('*+,-')'+-$#..+/+,0)&,$%.1&&/$ LONGITUDINAL BEAM DYNAMICS
LONGITUDINAL BEAM DYNAMICS Elias Métral (CERN BE Department) The present transparencies are inherited from Frank Tecker (CERN-BE), who gave this course in 2010 (I already gave this course in 2011-12-13)
More informationMagnetic Field and Magnetic Forces
Chapter 27 Magnetic Field and Magnetic Forces PowerPoint Lectures for University Physics, Twelfth Edition Hugh D. Young and Roger A. Freedman Lectures by Reza Khanbabaie Goals for Chapter 27 To study magnetic
More informationPart IB Electromagnetism
Part IB Electromagnetism Theorems Based on lectures by D. Tong Notes taken by Dexter Chua Lent 2015 These notes are not endorsed by the lecturers, and I have modified them (often significantly) after lectures.
More informationComposite field dosimetry
Composite field dosimetry Hugo Bouchard, PhD, MCCPM Senior Research Scientist Radiation dosimetry group National Physical Laboratory May 2014 Overview 1. Introduction Dosimetry protocols IAEA formalism
More informationOutline. Indrin J. Chetty, AAPM 2006 Monte Carlo CE course. Indrin J. Chetty Henry Ford Hospital. David W. O. Rogers Carleton University
AAPM Task Group Report No. 105: Issues associated with clinical implementation of Monte Carlo-based photon and electron external beam treatment planning Indrin J. Chetty Henry Ford Hospital David W. O.
More informationDesign and numerical simulation of thermionic electron gun
Design and numerical simulation of thermionic electron gun M.Hoseinzade 1;1), A.Sadighzadeh 1) Plasma Physics and Nuclear Fusion Research School, Nuclear Science and Technology Research Institute, AEOI,
More informationTransformers. slide 1
Transformers an alternating emf V1 through the primary coil causes an oscillating magnetic flux through the secondary coil and, hence, an induced emf V2. The induced emf of the secondary coil is delivered
More informationIntermission Page 343, Griffith
Intermission Page 343, Griffith Chapter 8. Conservation Laws (Page 346, Griffith) Lecture : Electromagnetic Power Flow Flow of Electromagnetic Power Electromagnetic waves transport throughout space the
More informationElectric vs Magnetic Comparison
5. MAGNETOSTATICS Electric vs Magnetic Comparison J=σE Most dielectrics µ = µo excluding ferromagnetic materials Gauss s Law E field is conservative Gauss s law (integral) Conservative E field Electric
More informationDesign Methodology for High Voltage Insulators Including Effects of Surface Charging
Design Methodology for High Voltage Insulators Including Effects of Surface Charging Robert Treseder Engineering Manager James Boye Senior Engineer Varian Medical Systems X-ray Products History of X-ray
More informationExperiment No: EM 4 Experiment Name: Biot-Savart Law Objectives:
Experiment No: EM 4 Experiment Name: Biot-Savart Law Objectives: Measuring the magnetic field of a current passing through long straight and conductor wire as a function of the current. Measuring the magnetic
More informationClassical Electrodynamics
Classical Electrodynamics Third Edition John David Jackson Professor Emeritus of Physics, University of California, Berkeley JOHN WILEY & SONS, INC. Contents Introduction and Survey 1 I.1 Maxwell Equations
More informationWhy do we accelerate particles?
Why do we accelerate particles? (1) To take existing objects apart 1803 J. Dalton s indivisible atom atoms of one element can combine with atoms of other element to make compounds, e.g. water is made of
More informationKey Contents. Magnetic fields and the Lorentz force. Magnetic force on current. Ampere s law. The Hall effect
Magnetic Fields Key Contents Magnetic fields and the Lorentz force The Hall effect Magnetic force on current The magnetic dipole moment Biot-Savart law Ampere s law The magnetic dipole field What is a
More informationMarch 11. Physics 272. Spring Prof. Philip von Doetinchem
Physics 272 March 11 Spring 2014 http://www.phys.hawaii.edu/~philipvd/pvd_14_spring_272_uhm.html Prof. Philip von Doetinchem philipvd@hawaii.edu Phys272 - Spring 14 - von Doetinchem - 32 Summary Magnetic
More informationINTRODUCTION TO ELECTRODYNAMICS
INTRODUCTION TO ELECTRODYNAMICS Second Edition DAVID J. GRIFFITHS Department of Physics Reed College PRENTICE HALL, Englewood Cliffs, New Jersey 07632 CONTENTS Preface xi Advertisement 1 1 Vector Analysis
More informationAccelerator Physics. Tip World Scientific NEW JERSEY LONDON SINGAPORE BEIJING SHANGHAI HONG KONG TAIPEI BANGALORE. Second Edition. S. Y.
Accelerator Physics Second Edition S. Y. Lee Department of Physics, Indiana University Tip World Scientific NEW JERSEY LONDON SINGAPORE BEIJING SHANGHAI HONG KONG TAIPEI BANGALORE Contents Preface Preface
More informationDon t Copy This. Michael Faraday 3/1/13. Chapter 25: EM Induction and EM Waves. Key Terms:
3/1/13 Chapter 25: EM Induction and EM Waves Key Terms: Induced Induced emf current Flux Lenz s Law waves Photons EM Don t Copy This Last chapter we learned that a current can create a magnetic field.
More informationHomework 2: Forces on Charged Particles
Homework 2: Forces on Charged Particles 1. In the arrangement shown below, 2 C of positive charge is moved from plate S, which is at a potential of 250 V, to plate T, which is at a potential of 750 V.
More informationPhysics 402: Electricity & Magnetism II
Physics 402: Electricity & Magnetism II (i.e. time-dependent electromagnetism) [image from weapons.technology.youngester.com] Prof. Seth Aubin Office: room 255, Small Hall, tel: 1-3545 Lab: room 069, Small
More informationMagnetic resonance imaging MRI
Magnetic resonance imaging MRI Introduction What is MRI MRI is an imaging technique used primarily in medical settings that uses a strong magnetic field and radio waves to produce very clear and detailed
More informationFinding e/m. Purpose. The purpose of this lab is to determine the charge to mass ratio of the electron. Equipment
Finding e/m Purpose The purpose of this lab is to determine the charge to mass ratio of the electron. Equipment Pasco Model SE-9638 E/M Apparatus Digital Multi-Meter, DMM Power Supply, Elenco Lead, Banana/Banana
More information8/3/2016. Chia-Ho, Hua St. Jude Children's Research Hospital. Kevin Teo The Hospital of the University of Pennsylvania
Bijan Arjomandy, Ph.D. Mclaren Proton Therapy Center Mark Pankuch, Ph.D. Cadence Health Proton Center Chia-Ho, Hua St. Jude Children's Research Hospital Kevin Teo The Hospital of the University of Pennsylvania
More informationUsing Prompt gamma ray emission to address uncertainties in proton therapy
Using Prompt gamma ray emission to address uncertainties in proton therapy Jerimy C. Polf, PhD, DABR Department of Radia9on Oncology University of Maryland School of Medicine AAPM 2013 Disclosures and
More informationChapter 19. Magnetism. 1. Magnets. 2. Earth s Magnetic Field. 3. Magnetic Force. 4. Magnetic Torque. 5. Motion of Charged Particles. 6.
Chapter 19 Magnetism 1. Magnets 2. Earth s Magnetic Field 3. Magnetic Force 4. Magnetic Torque 5. Motion of Charged Particles 6. Amperes Law 7. Parallel Conductors 8. Loops and Solenoids 9. Magnetic Domains
More informationComparison of Primary Doses Obtained in Three 6 MV Photon Beams Using a Small Attenuator
Comparison of Primary Doses Obtained in Three 6 MV Photon Beams Using a Small Attenuator Christoph Trauernicht Groote Schuur Hospital & University of Cape Town Method is based on: Background A method of
More informationLecture notes for ELECTRODYNAMICS.
Lecture notes for 640-343 ELECTRODYNAMICS. 1 Summary of Electrostatics 1.1 Coulomb s Law Force between two point charges F 12 = 1 4πɛ 0 Q 1 Q 2ˆr 12 r 1 r 2 2 (1.1.1) 1.2 Electric Field For a charge distribution:
More information444 Index Boundary condition at transmission line short circuit, 234 for normal component of B, 170, 180 for normal component of D, 169, 180 for tange
Index A. see Magnetic vector potential. Acceptor, 193 Addition of complex numbers, 19 of vectors, 3, 4 Admittance characteristic, 251 input, 211 line, 251 Ampere, definition of, 427 Ampere s circuital
More informationPhysics 402: Electricity & Magnetism II
Physics 402: Electricity & Magnetism II (i.e. time-dependent electromagnetism) [image from www.apdconsumo.pt] [image from weapons.technology.youngester.com] Instructors Prof. Seth Aubin Office: room 255,
More informationNovel, Hybrid RF Injector as a High-average. Dinh Nguyen. Lloyd Young
Novel, Hybrid RF Injector as a High-average average-current Electron Source Dinh Nguyen Los Alamos National Laboratory Lloyd Young TechSource Energy Recovery Linac Workshop Thomas Jefferson National Accelerator
More informationMaxwell Equations: Electromagnetic Waves
Maxwell Equations: Electromagnetic Waves Maxwell s Equations contain the wave equation The velocity of electromagnetic waves: c = 2.99792458 x 10 8 m/s The relationship between E and B in an EM wave Energy
More informationRatio of Charge to Mass (e/m) for the Electron
Objective: In this experiment you will determine the ratio of charge to mass (e/m) of the electron, by measuring the deflecting of electrons as they move through a magnetic field. Apparatus: e/m apparatus
More informationEET 492: Electromagnetic Fields and Waves. Fall Syllabus
EET 492: Electromagnetic Fields and Waves Fall 2007 Syllabus Lecturer Information: Name: Dr. Zhaoxian Zhou Office: TEC 326 Phone: (601)266 4482 Email: Zhaoxian.Zhou@usm.edu Web Page: www.usm.edu/zxzhou
More informationE/M. Hunter Layman Bridgewater College 1/16/2016
E/M Hunter Layman Bridgewater College 1/16/016 Abstract The charge to mass ratio of an electron was observed in the experiment. This experiment involved the use of a PASCO scientific Model SE 9638 e/m
More informationTime-resolved beam symmetry measurement for VMAT commissioning and quality assurance
JOURNAL OF APPLIED CLINICAL MEDICAL PHYSICS, VOLUME 17, NUMBER 2, 2016 Time-resolved beam symmetry measurement for VMAT commissioning and quality assurance Michael P. Barnes 1,2 a and Peter B. Greer 1,3
More informationPhysics 402: Electricity & Magnetism II
Physics 402: Electricity & Magnetism II (i.e. time-dependent electromagnetism) [image from www.apdconsumo.pt] [image from weapons.technology.youngester.com] Instructors Prof. Seth Aubin Office: room 255,
More informationElectron Linear Accelerators & Free-Electron Lasers
Electron Linear Accelerators & Free-Electron Lasers Bryant Garcia Wednesday, July 13 2016. SASS Summer Seminar Bryant Garcia Linacs & FELs 1 of 24 Light Sources Why? Synchrotron Radiation discovered in
More informationElectromagnetism. Christopher R Prior. ASTeC Intense Beams Group Rutherford Appleton Laboratory
lectromagnetism Christopher R Prior Fellow and Tutor in Mathematics Trinity College, Oxford ASTeC Intense Beams Group Rutherford Appleton Laboratory Contents Review of Maxwell s equations and Lorentz Force
More informationS1: Particle Equations of Motion S1A: Introduction: The Lorentz Force Equation
S1: Particle Equations of Motion S1A: Introduction: The Lorentz Force Equation The Lorentz force equation of a charged particle is given by (MKS Units):... particle mass, charge... particle coordinate...
More informationMagnetism. February 24, 2014 Physics for Scientists & Engineers 2, Chapter 27 1
Magnetism February 24, 2014 Physics for Scientists & Engineers 2, Chapter 27 1 Magnetism! The Sun has massive magnetic fields as do other stars! The Earth also has a magnetic field! In the region of Magnesia,
More informationExperiment 4: Charge to mass ratio (e/m) of the electron
Experiment 4: Charge to mass ratio (e/m) of the electron Nate Saffold nas2173@columbia.edu Office Hour: Monday, 5:30PM-6:30PM @ Pupin 1216 INTRO TO EXPERIMENTAL PHYS-LAB 1494/2699 Introduction Our first
More informationCHETTINAD COLLEGE OF ENGINEERING & TECHNOLOGY NH-67, TRICHY MAIN ROAD, PULIYUR, C.F , KARUR DT.
CHETTINAD COLLEGE OF ENGINEERING & TECHNOLOGY NH-67, TRICHY MAIN ROAD, PULIYUR, C.F. 639 114, KARUR DT. DEPARTMENT OF ELECTRONICS AND COMMUNICATION ENGINEERING COURSE MATERIAL Subject Name: Electromagnetic
More informationToday in Physics 218: the Maxwell equations
Today in Physics 218: the Maxwell equations Beyond magnetoquasistatics Displacement current, and Maxwell s repair of Ampère s Law The Maxwell equations Symmetry of the equations: magnetic monopoles? Rainbow
More informationChapter 28. The Magnetic Field
Chapter 28 The Magnetic Field Magnetic Field Force Exerted by a Magnetic Field Point Charge in a Magnetic Field Torques on Current Loops MFMcGraw-PHY 2426 Ch28a-Magnetic Field - Revised 10/03/2012 2 Magnetic
More informationfiziks Institute for NET/JRF, GATE, IIT-JAM, JEST, TIFR and GRE in PHYSICAL SCIENCES
Content-ELECTRICITY AND MAGNETISM 1. Electrostatics (1-58) 1.1 Coulomb s Law and Superposition Principle 1.1.1 Electric field 1.2 Gauss s law 1.2.1 Field lines and Electric flux 1.2.2 Applications 1.3
More informationINTRODUCTION MAGNETIC FIELD OF A MOVING POINT CHARGE. Introduction. Magnetic field due to a moving point charge. Units.
Chapter 9 THE MAGNETC FELD ntroduction Magnetic field due to a moving point charge Units Biot-Savart Law Gauss s Law for magnetism Ampère s Law Maxwell s equations for statics Summary NTRODUCTON Last lecture
More informationWave Nature of Matter
Wave Nature of Matter Wave-Particle Duality de Broglie proposed that particles with momentum could have an associated wavelength (converse of photons having momentum) de Broglie wavelength h λ = p or p
More informationUniversity Of Pennsylvania Department of Physics PHYS 141/151 Engineering Physics II (Course Outline)
University Of Pennsylvania Department of Physics PHYS 141/151 Engineering Physics II (Course Outline) Instructor: Dr. Michael A. Carchidi Textbooks: Sears & Zemansky s University Physics by Young and Freedman
More informationProblem Set #5: 5.2, 5.4, 5.8, 5.12, 5.15, 5.19, 5.24, 5.27, 5.35 (Due Tuesday, April 8th)
Chapter 5 Magnetostatics Problem Set #5: 5.2, 5.4, 5.8, 5.12, 5.15, 5.19, 5.24, 5.27, 5.35 (Due Tuesday, April 8th 5.1 Lorentz Force So far we were concerned with forces on test charges Q due to static
More informationPHY331 Magnetism. Lecture 1
PHY331 Magnetism Lecture 1 Overview Course syllabus / general information Quick revision of basic concepts Magnetization and susceptibility Using susceptibility to define magnetic materials Diamagnetic
More information