Approximate Cloaking for the Full Wave Equation via Change of Variables
نویسندگان
چکیده
منابع مشابه
Approximate cloaking for the full wave equation via change of variables: The Drude–Lorentz model
This paper concerns approximate cloaking by mapping for a full, but scalar wave equation, when one allows for physically relevant frequency dependence of the material properties of the cloak. The paper is a natural continuation of [20], but here we employ the Drude-Lorentz model in the cloaking layer, that is otherwise constructed by an approximate blow up transformation of the type introduced ...
متن کاملApproximate Cloaking for the Full Wave Equation via Change of Variables
We study, in the context of the full wave equation, an approximate cloaking scheme, that was previously considered for the Helmholtz equation [8], [17]. This cloaking scheme consists in a combination of an absorbing layer with an anisotropic layer, obtained by so-called transformation optics. We give optimal bounds for the visibility that tend to zero as a certain regularization parameter appro...
متن کاملCloaking via change of variables for the Helmholtz equation
The transformation optics approach to cloaking uses a singular change of coordinates, which blows up a point to the region being cloaked. This paper examines a natural regularization, obtained by (i) blowing up a ball of radius ρ rather than a point, and (ii) including a well-chosen lossy layer at the inner edge of the cloak. We assess the performance of the resulting near-cloak as the regulari...
متن کاملApproximate Cloaking for the Full Wave Equation via Change of Variables | SIAM Journal on Mathematical Analysis | Vol. 44, No. 3 | Society for Industrial and Applied Mathematics
We study, in the context of the full wave equation, an approximate cloaking scheme that was previously considered for the Helmholtz equation [R. V. Kohn, D. Onofrei, M. S. Vogelius, and M. I. Weinstein, Comm. Pure Appl. Math., 63 (2010), pp. 973–1016, H.-M. Nguyen and M. S. Vogelius, Arch. Ration. Mech. Anal., 203 (2011), pp. 769–807]. This cloaking scheme consists in a combination of an absorb...
متن کاملEnhanced approximate cloaking by optimal change of variables
The aim of (passive) cloaking with respect to electromagnetic (or acoustic) sensing is to surround a region of space with a material layer – the cloak – that renders its contents and even the existence of the layer undetectable by such measurements. At least theoretically this can be achieved using the coordinate invariance of the underlying wave equation, through so-called cloaking by mapping....
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2012
ISSN: 0036-1410,1095-7154
DOI: 10.1137/110833154