2017/02/16 by Lucas Chesnel, Chesnel, Lucas, С. А. Назаров +3
Engineering · Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #Microwave Engineering and Waveguides #Microwave Imaging and Scattering Analysis #Numerical methods in inverse problems #Photonic Crystals and Applications #Photonic and Optical Devices #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.1702.05007
openalex publication_date 2017/02/16 · openalex created_date 2022/08/04 · openalex updated_date 2026/07/28
We consider a time-harmonic wave problem, appearing for example in water-waves and in acoustics, in a setting such that the analysis reduces to the study of a 2D waveguide problem with a Neumann boundary condition. The geometry is symmetric with respect to an axis orthogonal to the direction of propagation of waves. Moreover, the waveguide contains one branch of finite length. We analyse the behaviour of the complex scattering coefficients R, T as the length of the branch increases and we show how to design geometries where non reflectivity (R=0, |T|=1), perfect reflectivity (|R|=1, T=0) or perfect invisibility (R=0, T=1) hold. Numerical experiments illustrate the different results.