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PH20014: Electromagnetism 1

Follow this link for further information on academic years Academic Year: 2019/0
Further information on owning departmentsOwning Department/School: Department of Physics
Further information on credits Credits: 6      [equivalent to 12 CATS credits]
Further information on notional study hours Notional Study Hours: 120
Further information on unit levels Level: Intermediate (FHEQ level 5)
Further information on teaching periods Period:
Semester 2
Further information on unit assessment Assessment Summary: EX 100%
Further information on unit assessment Assessment Detail:
  • Examination (EX 100%)
Further information on supplementary assessment Supplementary Assessment:
Like-for-like reassessment (where allowed by programme regulations)
Further information on requisites Requisites: Before or while taking this module you must ( take PH10005 OR take PH10053 ) AND ( take PH10006 OR take PH10051 ) AND ( take PH20107 OR take MA20223 )
Further information on descriptions Description: Aims:
The aims of this unit are to develop a vectorial description of electric, magnetic and electromagnetic fields in infinite materials and at boundaries between materials, to derive some individual solutions and to make use of them in a few important applications. A further aim is to provide an introduction to the operation of lasers.

Learning Outcomes:
After taking this unit the student should be able to:
* derive and interpret Maxwell's equations and their solution in vacuum;
* list the distinguishing features of electromagnetic plane waves and write down a mathematical expression for a linearly or circularly polarised light wave;
* analyse in detail the propogation of vectorial plane waves in vacuum and in various materials;
* describe the origins of polarisation and magnetisation in materials;
* match electric and magnetic fields at boundaries between materials and explain the origins of Brewster's angle and total internal reflection;
* describe how lasting action is obtained and maintained and outline the main properties of laser light.

Skills:
Numeracy T/F A, Problem Solving T/F A.

Content:
Introduction to Maxwell's equations (7 hours): Derivation of integral and differential forms of Maxwell's equations and continuity equation. The wave equation in source-free vacuum. Plane wave solutions.
Electromagnetic plane waves (3 hours): 3D plane waves, vector nature of electromagnetic wavesl relationships between E, B and k. Impedance. Electromagnetic energy and the Poynting vector. Radiation pressure. Polarisation; Law of Malus, circular and elliptical polarisation. Birefringence, wave plates.
Maxwell's equations in infinite materials (6 hours): Concepts of linearity, isotropy and homogeneity. Characterisation of materials in terms of macroscopic parameters. Dipoles, susceptibility and polarisation / magnetisation. The modified wave equation; solution in conductors, dielectrics, lossy media and plasmas.
Boundaries between media (4 hours): The general electromagnetic boundary conditions. Plane waves at a planar boudary, general angle of incidence (Fresnel equations). Total internal reflection and evanescent waves. Coefficients of transmission and reflection. Brewster and critical angles.
Lasers (2 hours): Interaction between light and matter. The Einstein relations. Obtaining and maintaining lasing action. Cavity modes. The properties of laser light.
Further information on programme availabilityProgramme availability:

PH20014 is Compulsory on the following programmes:

Department of Physics
  • USPH-AFB01 : BSc(Hons) Physics (Year 2)
  • USPH-AAB02 : BSc(Hons) Physics with Study year abroad (Year 2)
  • USPH-AKB02 : BSc(Hons) Physics with Year long work placement (Year 2)
  • USPH-AFB10 : BSc(Hons) Physics with Astrophysics (Year 2)
  • USPH-AAB10 : BSc(Hons) Physics with Astrophysics with Study year abroad (Year 2)
  • USPH-AKB10 : BSc(Hons) Physics with Astrophysics with Year long work placement (Year 2)
  • USPH-AFM02 : MPhys(Hons) Physics (Year 2)
  • USPH-AFM04 : MPhys(Hons) Physics with Research placement (Year 2)
  • USPH-AAM03 : MPhys(Hons) Physics with Study year abroad (Year 2)
  • USPH-AKM03 : MPhys(Hons) Physics with Professional Placement (Year 2)
  • USPH-AKM04 : MPhys(Hons) Physics with Professional and Research Placements (Year 2)
  • USPH-AFM10 : MPhys(Hons) Physics with Astrophysics (Year 2)
  • USPH-AFM11 : MPhys(Hons) Physics with Astrophysics with Research placement (Year 2)
  • USPH-AAM10 : MPhys(Hons) Physics with Astrophysics with Study year abroad (Year 2)
  • USPH-AKM10 : MPhys(Hons) Physics with Astrophysics with Professional Placement (Year 2)
  • USPH-AKM11 : MPhys(Hons) Physics with Astrophysics with Professional and Research Placements (Year 2)

PH20014 is Optional on the following programmes:

Department of Physics
  • USXX-AFB03 : BSc(Hons) Mathematics and Physics (Year 2)
  • USXX-AAB04 : BSc(Hons) Mathematics and Physics with Study year abroad (Year 2)
  • USXX-AKB04 : BSc(Hons) Mathematics and Physics with Year long work placement (Year 2)
  • USXX-AFM01 : MSci(Hons) Mathematics and Physics (Year 2)
  • USXX-AAM01 : MSci(Hons) Mathematics and Physics with Study year abroad (Year 2)
  • USXX-AKM01 : MSci(Hons) Mathematics and Physics with Year long work placement (Year 2)

Notes: