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

• Published in: IEEE journal on multiscale and multiphysics computational techniques Vol. 9; pp. 104 - 112
• Main Authors: Helsing, Johan, Jiang, Shidong, Karlsson, Anders
• Format: Journal Article
• Language: English
• Published: Piscataway IEEE 2024; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Amplitudes; Annan elektroteknik och elektronik; Arrays; band-pass filter; Band-pass filters; Boundary conditions; boundary integral equation; Boundary integral method; Cloaking; Electrical Engineering, Electronic Engineering, Information Engineering; Electromagnetic waveguides; Elektroteknik och elektronik; Engineering and Technology; frequency selective structure (FSS); Frequency selective surfaces; Integral equations; invisibility; loaded waveguide; Microwave propagation; Nyström method; Nyström method; Other Electrical Engineering, Electronic Engineering, Information Engineering; Planar waveguides; Plane waves; Scattering; Teknik; Waveguide components
• ISSN: 2379-8815; 2379-8793; 2379-8815
• DOI: 10.1109/JMMCT.2024.3364084

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 <inline-formula><tex-math notation="LaTeX">10^{-9}</tex-math></inline-formula> 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.