Designing Spectra in Disordered Photonic Structures

Sunkyu Yu, Xianji Piao, Namkyoo Park

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


In this chapter, we introduce the inverse design of disordered photonic structures with target spectral information. Starting from the concept of isospectrality, which originated from the old question of “Can one hear the shape of a drum?”, we discuss the derivation of isospectral relations between different shapes of photonic structures. Two mathematical techniques are introduced as examples of the nontrivial isospectral transformation in disordered photonics, supersymmetry and the Householder transformation, which enable the practical applications of photonic bandgap media with strong modal localization, random wave switching for binary or fuzzy logics, and inter-dimensional light transport without any loss of information.

Original languageEnglish
Title of host publicationSpringerBriefs in Physics
PublisherSpringer VS
Number of pages38
StatePublished - 2019

Publication series

NameSpringerBriefs in Physics
VolumePart F893
ISSN (Print)2191-5423
ISSN (Electronic)2191-5431


  • Householder transformation
  • Inter-dimensional light transport
  • Isospectrality
  • Photonic bandgap
  • Random wave switching
  • Supersymmetry


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