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SUMMARY:Frequency and Time Domain Connections for Linear Wave Scattering -
  Mike Meylan (University of Newcastle\, Australia)
DTSTART:20230113T090000Z
DTEND:20230113T100000Z
UID:TALK193160@talks.cam.ac.uk
DESCRIPTION:The most common assumption when solving wave scattering is to 
 linearise and then solve for the frequency domain solution. This assumptio
 n mimics many experiment setups in which the incident wave is fixed to a s
 ingle frequency and applied for a &ldquo\;long time.&rdquo\;\nThe frequenc
 y domain solution captures the time-dependent problem\, which may involve 
 complex pulse reflections. In particular\, rapid variations in parameters 
 like reflection and indicative of this pulse reflection\, and this can eas
 ily be simulated.\nThe transformation from frequency to time domain also h
 ighlights the deep connection between linear wave scattering and complex a
 nalysis. For example\, the evolution in time is represented by multiplicat
 ion by an exponential.\nAll these ideas will be illustrated by considering
  the most simple scattering problem\, a one-dimensional wave equation with
  delta function masses. We will move from theoretical considerations to nu
 merical simulations.
LOCATION:Seminar Room 1\, Newton Institute
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