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PH10053: Vibrations, waves & optics [WL]

Follow this link for further information on academic years Academic Year: 2020/1
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: Certificate (FHEQ level 4)
Further information on teaching periods Period: Semester 1
Further information on unit assessment Assessment: EX 85%, PR 15%
Further information on supplementary assessment Supplementary Assessment:
PH10053 - OT reassessment (where allowed by programme regulations)
Further information on requisites Requisites: Before or while taking this module you must take PH10007 OR take MA10230
You must have A-level Physics (or equivalent) and A-level Mathematics (or equivalent) to take this unit
Further information on descriptions Description: Aims:
The aims of this unit are to introduce students to the fundamental concepts and mathematical treatment of waves, to explore various phenomena arising from the superposition of two or more waves, and to outline some of the general principles governing the propagation of light.

Learning Outcomes:
After taking this unit the student should be able to:
* analyse oscillating systems under different driving regimes;
* apply the wavefunction for a one-dimensional travelling wave to problems involving mechanical, acoustic, water and electromagnetic waves;
* state the principle of superposition and use it to solve problems involving the superposition of more than one wave;
* define and derive the impedance of a mechanical wave and apply it to reflection and transmission at interfaces;
* construct ray diagrams for use in solving simple geometrical optics problems;
* outline the mathematical analysis of multiple-beam interference;
* derive mathematical expressions for simple diffraction patterns and relate the limits imposed by diffraction to the performance of optical instruments;
* demonstrate the correct use of common laboratory equipment, maintain a scientific logbook, perform basic error analysis and produce a scientific report.

Skills:
Written Communication T/F A, Numeracy T/F A, Data Acquisition, Handling, and Analysis T/F A, Information Technology T/F A, Problem Solving T/F A, Working as part of a group T/F, Practical laboratory skills T/F A.

Content:
Simple harmonic motion (3 hours): Oscillations, including damped and forced oscillations. Resonance, Q-factors. Coupled oscillations and introduction to normal modes. Wave motion as the limit of coupled oscillations. The wave equation (1D).
Introduction to waves (8 hours): Transverse and longitudinal waves. Plane, circular and spherical waves. Waves on strings; sound, water, particle and light waves. Mathematical representation of 1D plane waves; wavefunction, amplitude, frequency, wavelength, wavenumber, speed, energy, intensity and impedance. The Doppler effect. Superposition; standing waves, beats, interference. Phase and group velocity; dispersive and non-dispersive media. Complex exponential notation. Mechanical impedance. Reflection and transmission at boundaries.
The propagation of light (3 hours): Optical path length. Huygen's and Fermat's principles, Snell's Law. Reflection and refraction. Lenses; the focal plane. Geometric optics for thin lenses. Aberrations. Principles of the telescope and microscope.
Interference and diffraction (8 hours): Coherence. Young's slits experiment. The Michelson interferometer. The Fabry-Perot etalon. Interference between N equally spaced sources. Fraunhofer diffraction as far-field case. Derivation of Fraunhofer pattern for single slit. Discussion of circular aperture, diffraction limits on optical systems, definition of resolution, Rayleigh criterion. The diffraction grating. Resolving power of the telescope and grating.
Laboratory: Performance of experiments designed to develop practical skills and support lecture material.
Further information on programme availabilityProgramme availability:
NB. Postgraduate programme information will be added when the postgraduate catalogues are published in August 2020

PH10053 is Compulsory on the following programmes:

Department of Physics
  • USXX-AFB03 : BSc(Hons) Mathematics and Physics (Year 1)
  • USXX-AAB04 : BSc(Hons) Mathematics and Physics with Study year abroad (Year 1)
  • USXX-AKB04 : BSc(Hons) Mathematics and Physics with Year long work placement (Year 1)
  • USXX-AFM01 : MSci(Hons) Mathematics and Physics (Year 1)
  • USXX-AAM01 : MSci(Hons) Mathematics and Physics with Study year abroad (Year 1)
  • USXX-AKM01 : MSci(Hons) Mathematics and Physics with Year long work placement (Year 1)
Programmes in Natural Sciences
  • UXXX-AFB01 : BSc(Hons) Natural Sciences (Biology with Physics stream) (Year 1)
  • UXXX-AAB02 : BSc(Hons) Natural Sciences (Biology with Physics stream) with Study year abroad (Year 1)
  • UXXX-AKB02 : BSc(Hons) Natural Sciences (Biology with Physics stream) with Year long work placement (Year 1)
  • UXXX-AFB01 : BSc(Hons) Natural Sciences (Chemistry with Physics stream) (Year 1)
  • UXXX-AAB02 : BSc(Hons) Natural Sciences (Chemistry with Physics stream) with Study year abroad (Year 1)
  • UXXX-AKB02 : BSc(Hons) Natural Sciences (Chemistry with Physics stream) with Year long work placement (Year 1)
  • UXXX-AFB01 : BSc(Hons) Natural Sciences (Environmental Science with Physics stream) (Year 1)
  • UXXX-AAB02 : BSc(Hons) Natural Sciences (Environmental Science with Physics stream) with Study year abroad (Year 1)
  • UXXX-AKB02 : BSc(Hons) Natural Sciences (Environmental Science with Physics stream) with Year long work placement (Year 1)
  • UXXX-AFB01 : BSc(Hons) Natural Sciences (Physics with Biology stream) (Year 1)
  • UXXX-AAB02 : BSc(Hons) Natural Sciences (Physics with Biology stream) with Study year abroad (Year 1)
  • UXXX-AKB02 : BSc(Hons) Natural Sciences (Physics with Biology stream) with Year long work placement (Year 1)
  • UXXX-AFB01 : BSc(Hons) Natural Sciences (Physics with Chemistry stream) (Year 1)
  • UXXX-AAB02 : BSc(Hons) Natural Sciences (Physics with Chemistry stream) with Study year abroad (Year 1)
  • UXXX-AKB02 : BSc(Hons) Natural Sciences (Physics with Chemistry stream) with Year long work placement (Year 1)
  • UXXX-AFB01 : BSc(Hons) Natural Sciences (Physics with Environmental Science stream) (Year 1)
  • UXXX-AAB02 : BSc(Hons) Natural Sciences (Physics with Environmental Science stream) with Study year abroad (Year 1)
  • UXXX-AKB02 : BSc(Hons) Natural Sciences (Physics with Environmental Science stream) with Year long work placement (Year 1)
  • UXXX-AFM01 : MSci(Hons) Natural Sciences (Biology with Physics stream) (Year 1)
  • UXXX-AKM02 : MSci(Hons) Natural Sciences (Biology with Physics stream) with Professional Placement (Year 1)
  • UXXX-AAM02 : MSci(Hons) Natural Sciences (Biology with Physics stream) with Study year abroad (Year 1)
  • UXXX-AFM01 : MSci(Hons) Natural Sciences (Chemistry with Physics stream) (Year 1)
  • UXXX-AKM02 : MSci(Hons) Natural Sciences (Chemistry with Physics stream) with Professional Placement (Year 1)
  • UXXX-AAM02 : MSci(Hons) Natural Sciences (Chemistry with Physics stream) with Study year abroad (Year 1)
  • UXXX-AFM01 : MSci(Hons) Natural Sciences (Physics with Biology stream) (Year 1)
  • UXXX-AKM02 : MSci(Hons) Natural Sciences (Physics with Biology stream) with Professional Placement (Year 1)
  • UXXX-AAM02 : MSci(Hons) Natural Sciences (Physics with Biology stream) with Study year abroad (Year 1)
  • UXXX-AFM01 : MSci(Hons) Natural Sciences (Physics with Chemistry stream) (Year 1)
  • UXXX-AKM02 : MSci(Hons) Natural Sciences (Physics with Chemistry stream) with Professional Placement (Year 1)
  • UXXX-AAM02 : MSci(Hons) Natural Sciences (Physics with Chemistry stream) with Study year abroad (Year 1)

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