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ELECTRODYNAMICS

International Teaching ELECTRODYNAMICS

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0522600058
DEPARTMENT OF PHYSICS "E. R. CAIANIELLO"
EQF7
PHYSICS
2024/2025

YEAR OF COURSE 1
YEAR OF DIDACTIC SYSTEM 2021
AUTUMN SEMESTER
CFUHOURSACTIVITY
648LESSONS
ANTONIO CAPOLUPO T Curriculum
Objectives
THE COURSE WANTS TO PROVIDE, IN A WAY COMPLETE AND SUITABLE FOR APPLICATIONS, THE KNOWLEDGE OF SOME ARGUMENTS OF PARTICULAR RELEVANCE IN ADVANCED THEORETICAL PHYSICS.

EXPECTED LEARNING OUTCOMES:

KNOWLEDGE AND ABILITY TO UNDERSTAND:
THE PURPOSE OF THE COURSE IS TO INTRODUCE STUDENTS TO THE FOUNDATIONS OF CLASSICAL ELECTRODYNAMICS AND OF ELECTROMAGNETISM IN ITS COMPLETE RELATIVISTIC FORMULATION, PROVIDING AN ADVANCED KNOWLEDGE ABOUT CLASSIC ELECTRODYNAMIC PHENOMENA THAT ARE NOT STUDIED IN BASIC COURSES, SUCH AS
THE LIENARD-WIECHERT POTENTIAL,
THE SCATTERING THOMSON AND THE CERENKOV RADIATION, THE STUDY OF CAVITIES AND WAVEGUIDES,
THE ANALYSIS OF THE DYNAMICS OF RELATIVISTIC PARTICLES AND ELECTROMAGNETIC FIELDS AND OF RADIATING SYSTEMS. PARTICULAR EMPHASIS IS PLACED ON THE APPLICATION OF SUCH PHENOMENA TO DIFFERENT BRANCHES OF MODERN PHYSICS, SUCH AS ACCELERATOR AND PARTICLE DETECTOR PHYSICS, NUCLEAR FUSION AND PARTICLE PHYSICS.

CAPABILITY TO APPLY KNOWLEDGE AND UNDERSTANDING:
THE PURPOSE IS TO PROVIDE THE ANALYTICAL INSTRUMENTS FOR THE STUDY OF RELATIVISTIC ELECTRODYNAMICS AND OF ITS APPLICATIONS, MAKING THE STUDENT ABLE TO CONTROL THE THEORETICAL NOTIONS PROVIDED IN THE COURSE. THE MULTIDISCIPLINARITY OF THE TOPICS COVERED WILL ALLOW THE STUDENT TO APPLY THE ACQUIRED KNOWLEDGE TO DIFFERENT PHYSICAL SYSTEMS. THESE SKILLS ARE USEFUL FOR THE INSERTION IN NATIONAL AND INTERNATIONAL RESEARCH INSTITUTIONS AND IN THE INDUSTRY.

JUDGMENT AUTONOMY:
TO BE ABLE TO DETERMINE THE APPROPRIATE METHODS TO ANALYZE THE ARGUMENTS OF ELECTRODYNAMIC.

COMMUNICATION SKILLS:
TO BE ABLE TO DESCRIBE, CLEARLY AND EXHAUSTIVELY, THE STUDIED TOPICS.

LEARNING ABILITY:
TO BE ABLE TO APPLY THE ACQUIRED KNOWLEDGE TO CONTEXTS DIFFERENT FROM THE ONES PRESENTED IN THE COURSE, AND TO STUDY IN DEEP THE TREATED TOPICS BY USING BOOKS DIFFERENT WITH RESPECT TO THE ONES PROPOSED.
Prerequisites
THE KNOWLEDGE OBTAINED THROUGH THE THREE-YEAR DEGREE IN PHYSICS ARE REQUIRED, WITH PARTICULAR REFERENCE TO THE FUNDAMENTAL ARGUMENTS OF MATHEMATICAL ANALYSIS, GEOMETRY, GENERAL PHYSICS, LAGRANGIAN AND HAMILTONIAN DYNAMICS, SPECIAL RELATIVITY, QUANTUM MECHANICS.
Contents
- INTRODUCTION TO ELECTRODYNAMICS (FRONTAL LESSONS: 6 HOURS)
MAXWELL EQUATIONS IN VACUUM AND MATTER; EQUATIONS OF ELECTROMAGNETIC WAVES; SCALAR AND VECTOR POTENTIALS; SPECIAL RELATIVITY: LORENTZ TRANSFORMATIONS; RELATIVISTIC INVARIANTS.
COVARIANT FORMULATION OF ELECTROMAGNETISM: GREEN FUNCTIONS; SOLUTION OF WAVE EQUATION IN COVARANT FORM; TRANSFORMATIONS OF THE ELECTROMAGNETIC FIELD; ELECTROMAGNETIC TENSOR; COVARIANT FORM OF MAXWELL EQUATIONS.

- RADIATION BY MOVING CHARGES (FRONTAL LESSONS: 10 HOURS)
LIENARD-WIECHERT POTENTIAL; EXPRESSION OF ELECTROMAGNETIC FIELD;
TOTAL POWER RADIATED BY AN ACCELERATED CHARGE: LARMOR’S FORMULA AND ITS RELATIVISTIC GENERALIZATION;
POWER RADIATED FOR LINEAR ACCELERATORS AND FOR CIRCULAR ACCELERATORS AND APPLICATION TO MODERN PARTICLE ACCELERATORS;
ANGULAR DISTRIBUTION OF RADIATION EMITTED BY A CHARGED PARTICLE: MOTION IN STRAIGHT LINE AND CIRCULAR MOTION;
RADIATION EMITTED BY A CHARGE IN EXTREMELY RELATIVISTIC MOTION;
DISTRIBUTION IN FREQUENCY AND ANGLE OF ENERGY RADIATED BY ACCELERATED CHARGES;
FREQUENCY SPECTRUM OF RADIATION EMITTED BY A RELATIVISTIC CHARGED PARTICLE IN INSTANTANEOUSLY CIRCULAR MOTION.

- SCATTERING THOMSON AND CERENKOV RADIATION (FRONTAL LESSONS: 4 HOURS)
SCATTERING THOMSON; ENERGY LOSS OF A PARTICLE PROPAGATING THROUGH THE MATTER; FERMI FORMULA; CERENKOV RADIATION AND APPLICATION TO MODERN PARTICLE DETECTORS.

- CAVITIES AND WAVEGUIDES (FRONTAL LESSONS: 6 HOURS)
MAXWELL EQUATIONS IN TERMS OF TRANSVERSAL AND PARALLEL COMPONENTS; WAVES TEM, TM AND TE;
WAVEGUIDES: MODES IN A RECTANGULAR WAVEGUIDE;
RESONANT CAVITIES: CAVITY WITH RECTANGULAR SECTION AND WITH CYLINDRICAL SECTION.

- DYNAMICS OF RELATIVISTIC PARTICLES AND ELECTROMAGNETIC FIELDS (FRONTAL LESSONS: 6 HOURS)
MOTION IN A UNIFORM, STATIC MAGNETIC FIELD; MOTION IN COMBINED, UNIFORM, STATIC MAGNETIC FIELDS; LAGRANGIAN FOR THE ELECTROMAGNETIC FIELD AND DESCRIPTION OF THE AXION-PHOTON MIXING PHENOMENON; ADIABATIC INVARIANCE OF THE FLUX THROUGH ORBIT OF PARTICLE AND PLASMA CONFINEMENT IN THERMONUCLEAR REACTORS.

- RADIATING SYSTEMS, DIFFUSION AND DIFFRACTION (FRONTAL LESSONS: 16 HOURS)
FIELDS AND RADIATION OF A LOCALIZED OSCILLATING SOURCE; ELECTRIC DIPOL FIELDS AND RADIATION; CENTER-FED LINEAR ANTENNA; MAGNETIC DIPOLE AND ELECTRIC QUADRUPOLE FIELDS AND SIMILARITIES WITH THE GRAVITATIONAL WAVE; THE ANTENNA AS A PROBLEM OF VALUES IN THE BOUNDARY; DIFFUSIONS FOR LONG WAVE LENGTHS; DIFFUSION ON A SMALL DIELECTRIC BALL; PERTURBATIVE THEORY OF THE DIFFUSION, RAYLEIGH THEORY OF THE BLUE OF THE SKY; BORN APPROXIMATION.
Teaching Methods
THE COURSE IS CARRIED OUT IN FRONTAL LESSONS (48 HOURS), TAKING SPECIAL CARE OF METHODS, DEMONSTRATIONS AND APPLICATIONS.

THE PURPOSE IS TO PROVIDE STUDENTS WITH SPECIFIC KNOWLEDGE SUITABLE TO FORMULATE MODELS FOR THE DESCRIPTION OF PHYSICAL PHENOMENA. THE COURSE IS ALSO FINALIZED TO PROVIDE SKILLS SUITABLE TO RESEARCH ACTIVITIES IN UNIVERSITIES AND INSTITUTIONS.

THE PRESENCE OF STUDENTS IN THE COURSE IS NOT MANDATORY, BUT STRONGLY RECOMMENDED.
Verification of learning
THE EXAM CONSISTS IN AN ORAL EXAMINATION ON THE TOPICS OF THE COURSE IN ORDER TO VERIFY THE UNDERSTANDING OF THE TOPICS STUDIED. IT IS ALSO REQUESTED THAT THE STUDENT EXPOSES IN EXHAUSTIVE WAY AND THAT HE SHOWS CRITICAL AND AUTONOMOUS JUDGMENT.
THE DURATION OF THE EXAM IS ABOUT ONE HOUR, AND IT WILL BE TAKEN, AFTER THE END OF THE COURSE, IN THE EXAM SESSIONS.
THE FINAL VOTE IS IN THIRTY. THE EXAM IS PASSED WHEN THE VOTE OF THE ORAL PRESENTATIONE IS AT LEAST 18/30. THE MINIMUM EVALUATION LEVEL (18) IS ASSIGNED WHEN THE STUDENT HAS A SUFFICIENT KNOWLEDGE OF THEORETICAL CONTENTS AND HE SHOWS A SUFFICIENT CAPACITY TO CONNECT THE FOLLOWING TOPICS:
COVARIANT FORMULATION OF THE ELECTROMAGNETISM; RADIATION BY MOVING CHARGES AND DYNAMICS OF RELATIVISITIC PARTICLES; RADIATING SYSTEMS; CAVITIES AND WAVEGUIDES.
THE MAXIMUM LEVEL (30) IS ATTRIBUTED WHEN THE STUDENT SHOWS A COMPLETE AND DEPTH KNOWLEDGE OF THE THEORETICAL CONTENTS AND HE SHOWS A NOTABLE CAPACITY TO CONNECT THE ANALYZED TOPICS.
30 WITH LAUD IS ATTRIBUTED WHEN THE CANDIDATE PROVIDES A SIGNIFICANT MASTERY OF THE CONTENT OF THE PROGRAM AND HE EXHIBITS TO KNOW THE ARGUMENTS WITH REMARKABLE VOCABULARY AND ABILITY OF AUTONOMOUS PROCESSING.
Texts
- JOHN D. JACKSON "ELETTRODINAMICA CLASSICA" (ZANICHELLI)

- L.D. LANDAU, E.M. LIFSHITZ, "TEORIA DEI CAMPI", (ED.RIUNITI)

- KURT LECHNER, "ELETTRODINAMICA CLASSICA", (SPRINGER VERLAG), 2014

THE DIDACTIC MATERIAL, ALTHOUGH PRESENT IN THE RECOMMENDED TEXTS, WILL BE INTEGRATED DURING THE COURSE BY THE TEACHER.
More Information
THE STUDENTS ARE INVITED TO CONTACT THE TEACHER FOR MEETINGS (ALSO OUTSIDE THE RECEPTION TIMES) FOR FURTHER CLARIFICATION OF THE COURSE TOPICS.
Lessons Timetable

  BETA VERSION Data source ESSE3