Design of Perfectly Conducting Objects That Are Invisible to an Incident Plane Wave

Johan Helsing, Shidong Jiang, Anders Karlsson

Research output: Contribution to journalArticlepeer-review


This work concerns the design of perfectly conducting objects that are invisible to an incident transverse magnetic plane wave. The object in question is a finite planar waveguide with a finite periodic array of barriers. By optimizing this array, the amplitude of the scattered field is reduced to less than 10-9 times the amplitude of the incident plane wave everywhere outside the waveguide. To accurately evaluate such minute amplitudes, we employ a recently developed boundary integral equation technique, adapted for objects whose boundaries have endpoints, corners, and branch points.

Original languageEnglish (US)
Pages (from-to)104-112
Number of pages9
JournalIEEE Journal on Multiscale and Multiphysics Computational Techniques
StatePublished - 2024
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Mathematical Physics
  • Physics and Astronomy (miscellaneous)
  • Computational Mathematics


  • band-pass filter
  • boundary integral equation
  • Cloaking
  • frequency selective structure (FSS)
  • invisibility
  • loaded waveguide
  • microwave propagation
  • Nyström method


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