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VERSION:2.0
PRODID:icalendar-ruby
CALSCALE:GREGORIAN
X-WR-CALNAME:Seminar:  Numerical Methods for Partial Differential Equations
X-WR-TIMEZONE:Eastern Time (US & Canada)
BEGIN:VEVENT
DTSTAMP:20261009T201701Z
UID:tag:localist.com\,2008:EventInstance_45748905257419
DTSTART:20240306T190000Z
DTEND:20240306T200000Z
DESCRIPTION:Speaker:  Pengning Chao  (MIT)\n\nTitle:  A general frameword f
 or computing fundamental limits in photonics inverse design\n\nAbstract:\n
 \nAdvances in computing power and numerical algorithms has lead to a parad
 igm shift in photonics engineering towards inverse design: achieving desir
 ed functional characteristics by solving a PDE-constrained optimization pr
 oblem over a large number of structural parameters. This approach has been
  very fruitful\, with increases in device performance often measured by or
 ders of magnitude. However\, the resulting structures can be highly comple
 x\, and a natural question is to what extent further improvement is possib
 le. Unfortunately\, the high-dimensional\, non-convex nature of the PDE-co
 nstrained optimization precludes the exact determination of its global opt
 imum.  To address this issue\, this talk presents a general framework for 
 computing fundamental limits to photonics device performance based on a sy
 stematic convex relaxation of the original optimization. The efficacy of t
 he framework is demonstrated on canonical problems such as maximizing scat
 tering cross-sections and manipulating the photonic local density of state
 s. Further extensions and improvements will also be discussed. Based on jo
 int work with the groups of Sean Molesky and Alejandro Rodriguez.
GEO:42.358262;-71.090045
LOCATION:Building 2\, 255
SUMMARY:Seminar:  Numerical Methods for Partial Differential Equations
URL;VALUE=URI:https://calendar.mit.edu/event/seminar_numerical_methods_for_
 partial_differential_equations_1853
CATEGORIES:Conferences/Seminars/Lectures
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