Optimization of scattering resonances

P. Heider, D. Berebichez, R. V. Kohn, M. I. Weinstein

Research output: Contribution to journalArticlepeer-review


The increasing use of micro- and nano-scale components in optical, electrical, and mechanical systems makes the understanding of loss mechanisms and their quantification issues of fundamental importance. In many situations, performance-limiting loss is due to scattering and radiation of waves into the surrounding structure. In this paper, we study the problem of systematically improving a structure by altering its design so as to decrease the loss. We use sensitivity analysis and local gradient optimization, applied to the scattering resonance problem, to reduce the loss within the class of piecewise constant structures. For a class of optimization problems where the material parameters are constrained by upper and lower bounds, it is observed that an optimal structure is piecewise constant with values achieving the bounds.

Original languageEnglish (US)
Pages (from-to)443-456
Number of pages14
JournalStructural and Multidisciplinary Optimization
Issue number5
StatePublished - Nov 2008


  • Quality factor
  • Scattering resonance
  • Sensitivity analysis

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering
  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design
  • Control and Optimization


Dive into the research topics of 'Optimization of scattering resonances'. Together they form a unique fingerprint.

Cite this