Journal
JOURNAL OF PHYSICS D-APPLIED PHYSICS
Volume 48, Issue 32, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0022-3727/48/32/325104
Keywords
magnification device; Laplace equation; method of separation of variables; homogeneous and isotropic media; superscatterer
Categories
Funding
- State Key Laboratory of Millimeter Waves [K201409]
- Fundamental Research Funds for the Central Universities [LZUJBKY-2015-k07, LZUJBKY-2014-43, LZUJBKY-2014-237]
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A magnification device for the Laplace equation is proposed and verified in this work. Unlike designs based on transformation optics, which are hard to realize due to the complementary media needed and the anisotropy and inhomogeneity of the resultant materials, our design only requires isotropic and homogeneous materials with positive values. The method of separation of variables is utilized to realize the magnification device, and the first experiment demonstration for the device is given, where we utilize the resistor network to mimic the problem. The measurement results validate the exact magnifying property of our proposal. Our design is suitable for the time-varying fields under quasi-static conditions, it applies directly in thermodynamics, and other problems governed by the Laplace equation.
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