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2010.65: Dynamics of poles with position-dependent strengths and its optical analogues

2010.65: James Montaldi and Tadashi Tokieda (2010) Dynamics of poles with position-dependent strengths and its optical analogues.

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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 2000 > 37 Dynamical systems and ergodic theory
MSC 2000 > 70 Mechanics of particles and systems
MSC 2000 > 76 Fluid mechanics
MIMS number:2010.65
Deposited By:Dr James Montaldi
Deposited On:19 July 2010

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