Extra Form
강연자 임미경
date 2012-05-03
We consider the problem of identifying the material properties from boundary measurements. For the conductivity case, this is known as Calderon problem: “Is it possible to determine the electrical conductivity inside a domain from the boundary voltage and current measurements?” The uniqueness for Calderon problem holds when the conductivity is restricted to be isotropic, where by definition the material properties are independent of direction. For the anisotropic case, the uniqueness fails to hold since, using a change of coordinates, it is possible to make two different anisotropic conductivity profiles which give the same boundary data. We will see how to make “Harry Potter’s invisibility cloak” using a singular change of coordinates, which blows up a point to the region being cloaked. In addition, the regularization or the approximation of singular cloaking will be explained. Finally, I will provide a new method of constructing very effective near-cloaking structures in order to achieve enhanced near-invisibility.
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List of Articles
카테고리 제목 소속 강연자
수학강연회 <학부생을 위한 ɛ 강연> Convergence of Fourier series and integrals in Lebesgue spaces file 서울대 이상혁
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수학강연회 <정년퇴임 기념강연> Hardy, Beurling, and invariant subspaces file 서울대학교 이우영
수학강연회 Averaging formula for Nielsen numbers file 서강대학교 이종범
수학강연회 The Mathematics of the Bose Gas and its Condensation file KAIST 이지운
수학강연회 Role of Computational Mathematics and Image Processing in Magnetic Resonance Electrical Impedance Tomography (MREIT) file KAIST 이창옥
수학강연회 Heavy-tailed large deviations and deep learning's generalization mystery file Northwestern University 이창한
수학강연회 Analysis and computations of stochastic optimal control problems for stochastic PDEs file 아주대 이형천
수학강연회 Non-commutative Lp-spaces and analysis on quantum spaces file 서울대학교 이훈희
수학강연회 Alice and Bob meet Banach and von Neumann file 서울대 이훈희
수학강연회 Cloaking via Change of Variables file KAIST 임미경
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수학강연회 Randomness of prime numbers file 서울대학교 임선희
수학강연회 Brownian motion and energy minimizing measure in negative curvature file 서울대학교 임선희
수학강연회 <학부생을 위한 ɛ 강연> Mathematics and music: Pythagoras, Bach, Fibonacci and AI file 피아니스트 임현정
수학강연회 Fixed points of symplectic/Hamiltonian circle actions file 부산대 수학과 장동훈
수학강연회 <학부생을 위한 ɛ 강연> Mathematical Aspects of Machine Learning and Deep Learning AI file 서울대학교 컴퓨터공학부 장병탁
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