Dynamics of poles with position-dependent strengths and its optical analogues

Montaldi, James and Tokieda, Tadashi (2010) Dynamics of poles with position-dependent strengths and its optical analogues. [MIMS Preprint]

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Abstract

Dynamics of point vortices is generalized in two ways. Firstly by allowing complex strengths which allows for sources and sinks in combination with the the usual vorticity, and secondly by allowing the strengths to be functions of position. We describe several exact solutions with optical analogues, notably Snell's law and law of reflection off a mirror.

Item Type:	MIMS Preprint
Uncontrolled Keywords:	Vortex dynamics, Snell's law, geometric optics, hybrid systems
Subjects:	MSC 2010, the AMS's Mathematics Subject Classification > 37 Dynamical systems and ergodic theory MSC 2010, the AMS's Mathematics Subject Classification > 70 Mechanics of particles and systems MSC 2010, the AMS's Mathematics Subject Classification > 76 Fluid mechanics
Depositing User:	Dr James Montaldi
Date Deposited:	19 Jul 2010
Last Modified:	08 Nov 2017 18:18
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/1499

Available Versions of this Item

• Dynamics of poles with position-dependent strengths and its optical analogues. (deposited 19 Jul 2010) [Currently Displayed]
  • Dynamics of poles with position-dependent strengths and its optical analogues. (deposited 01 Sep 2010)
    • Dynamics of poles with position-dependent strengths and its optical analogues. (deposited 03 Apr 2011)

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