Summary: Reconstruction of a small inclusion in a 2D open
Habib Ammari # Ekaterina Iakovleva # Hyeonbae Kang +
March 9, 2005
We consider wave propagation in a perturbed open waveguide. We provide a new
asymptotic expansion for the scattered wave when the inclusion is of small diameter.
We design a MUSIC type of algorithm for locating the inclusion and illustrate its
viability in numerical examples.
Mathematics subject classification (MSC2000): 35R20, 35B30
Keywords: open waveguide, electromagnetic inclusion, reconstruction, MUSIC algorithm
Optical waveguides are the basis of the optoelectronics and telecommunications industry.
It is important in engineering design of optical communication devices not only to find out
whether a defect is present or absent in a device, but also to precisely locate it and accurately
characterize its size.
In this paper we discuss wave propagation in a perturbed optical waveguide. The per
turbation in the electromagnetic characteristics of the waveguide is caused by a small elec
tromagnetic inclusion. The waveguide we consider is half space (y > 0) with the Dirichlet
boundary condition on y = 0. The region 0 < y < h is considered the core of the fiber, while