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## PH30077: Electromagnetism 2

Credits: 6
Level: Honours (FHEQ level 6)
Period: Semester 1
Assessment: EX 100%
Supplementary Assessment: Mandatory extra work (where allowed by programme regulations)
Requisites: Before taking this unit you must (take PH20014 or take PH20061) and (take PH20017 or take PH20063) and take PH20020
Description: Aims:
An aim of this unit is to provide a mathematical framework for the description of the radiation, transmission, reception and guidance of electromagnetic energy. A further aim is to provide an introduction to the interaction of electromagnetic waves with matter, focussing particularly on processes of absorption, luminescence and scattering within materials.

Learning Outcomes:
After taking this unit the student should be able to:
* describe dipole radiation using magnetic vector potentials;
* explain the basic features of guided modes in metallic, dielectric and fibre waveguides;
* derive expressions for the real and imaginary parts of the complex dielectric constant of a dipole oscillator;
* apply the Lorentzian dipole model to represent various physical resonances;
* outline the main physical principles underlying Raman and Brillouin scattering.

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

Content:
Transform methods in optics (3 hours): Review of wave theory of light. Fraunhofer diffraction. Introduction to Fourier optics.
Radiation (3 hours): Electromagnetic potentials, retarded potentials, near and far fields, radiation from a Hertz dipole.
Guided waves (6 hours): Metal and dielectric waveguides, optical fibres.
Optical processes in materials (2 hours): Absorption, emission, scattering, complex index and complex dielectric constant
Classical Lorentzian model of optical materials (5 hours): Dipole oscillator model for atomic absorption; resonant frequency and linewidth of atomic absorption lines, frequency dependence of the real and imaginary parts of the dielectric constant. Application to crystalline insulators, semiconductors, glasses, and metals (including plasmons).
Lattice vibrations (2 hours): Reststrahlen and inelastic scattering of light.
Colours in the natural world (1 hour).
Programme availability:

#### PH30077 is Compulsory on the following programmes:

Department of Physics
• USPH-AFM02 : MPhys Physics (Full-time) - Year 3
• USPH-AFM04 : MPhys Physics with Research Placement (Full-time) - Year 3
• USXX-AFM01 : MSci (hons) Mathematics and Physics (Full-time) - Year 3

#### PH30077 is Optional on the following programmes:

Programmes in Natural Sciences
• UXXX-AFB01 : BSc (hons) Natural Sciences (Full-time) - Year 3
• UXXX-AKB02 : BSc (hons) Natural Sciences with Industrial Placement (Full-time with Thick Sandwich Placement) - Year 4
• UXXX-AAB02 : BSc (hons) Natural Sciences with Study Year Abroad (Full-time with Study Year Abroad) - Year 4
• UXXX-AFM01 : MSci (hons) Natural Sciences (Full-time) - Year 3
• UXXX-AKM02 : MSci (hons) Natural Sciences with Professional Placement (Full-time with Thick Sandwich Placement) - Year 4
• UXXX-AAM02 : MSci (hons) Natural Sciences with Study Year Abroad (Full-time with Study Year Abroad) - Year 4
Department of Physics
• USXX-AFB03 : BSc (hons) Mathematics and Physics (Full-time) - Year 3
• USXX-AKB04 : BSc (hons) Mathematics and Physics with Placement (Full-time with Thick Sandwich Placement) - Year 4
• USXX-AAB04 : BSc (hons) Mathematics and Physics with Study Year Abroad (Full-time with Study Year Abroad) - Year 4
• USPH-AFB01 : BSc (hons) Physics (Full-time) - Year 3
• USPH-AFB05 : BSc (hons) Physics with Computing (Full-time) - Year 3
• USPH-AKB06 : BSc (hons) Physics with Computing (with Placement) (Full-time with Thick Sandwich Placement) - Year 4
• USPH-AAB06 : BSc (hons) Physics with Computing with Year Abroad (Full-time with Study Year Abroad) - Year 4
• USPH-AKB02 : BSc (hons) Physics (with Placement) (Full-time with Thick Sandwich Placement) - Year 4
• USPH-AAB02 : BSc (hons) Physics with Year Abroad (Full-time with Study Year Abroad) - Year 4
• USPH-AFB09 : BSc Physics (Full-time) - Year 3
• USPH-AKB09 : BSc Physics (with Placement) (Full-time with Thick Sandwich Placement) - Year 4

NB. Programmes and units are subject to change at any time, in accordance with normal University procedures.