https://www.math.snu.ac.kr/board/files/attach/images/701/ff97c54e6e21a4ae39315f9a12b27314.png
Extra Form
강연자 강현배
소속 인하대학교
date 2012-04-12

We present a mathematical justification of cloaking due to anomalous localized resonance (CALR). We consider the dielectric problem with a source term in a structure with a layer of plasmonic material. Using layer potentials and symmetrization techniques, we give a necessary and sufficient condition on the fixed source term for electromagnetic power dissipation to blow up as the loss parameter of the plasmonic material goes to zero. This condition is written in terms of the Newtonian potential of the source term. In the case of concentric disks, we make the condition even more explicit. Using the condition, we are able to show that for any source supported outside a critical radius CALR does not take place, and for sources located inside the critical radius satisfying certain conditions CALR does take place as the loss parameter goes to zero.

Atachment
첨부 '1'
  1. 07Nov
    by Editor
    in 수학강연회

    On Ingram’s Conjecture

  2. 07Apr
    by 김수현
    in 수학강연회

    <학부생을 위한 ε 강연> What mathematics can do for the real and even fake world

  3. 07Nov
    by Editor
    in 수학강연회

    Space.Time.Noise

  4. 11Sep
    by 김수현
    in 수학강연회

    Nonlocal generators of jump type Markov processes

  5. 26Sep
    by 김수현
    in 수학강연회

    The phase retrieval problem

  6. 07Nov
    by Editor
    in 수학강연회

    On some nonlinear elliptic problems

  7. 07Nov
    by Editor
    in 수학강연회

    Brownian motion with darning and conformal mappings

  8. 23Mar
    by 김수현
    in 수학강연회

    Anomalous diffusions and fractional order differential equations

  9. 07Nov
    by Editor
    in 수학강연회

    Gaussian free field and conformal field theory

  10. 18Apr
    by 김수현
    in 수학강연회

    Random conformal geometry of Coulomb gas formalism

  11. 06Apr
    by 김수현
    in 수학강연회

    Conformal field theory in mathematics

  12. 08Sep
    by 김수현
    in 수학강연회

    Periodic orbits in symplectic geometry

  13. 08Nov
    by 김수현
    in 수학강연회

    <학부생을 위한 ε 강연> Variable-driven sociological research with data innovations

  14. 07Nov
    by Editor
    in 수학강연회

    Spectral Analysis for the Anomalous Localized Resonance by Plasmonic Structures

  15. 07Nov
    by Editor
    in 수학강연회

    학부생을 위한 ε 강연회: Mathematics from the theory of entanglement

  16. 05Jun
    by 김수현
    in 수학강연회

    <정년퇴임 기념강연> 작용소대수와 양자정보이론

  17. 07Nov
    by Editor
    in 수학강연회

    Topology of configuration spaces on graphs

  18. 07Nov
    by Editor
    in 수학강연회

    학부생을 위한 강연회: What is the algebraic number theory?

  19. 28Mar
    by 김수현
    in 수학강연회

    Solver friendly finite element methods

  20. 02Oct
    by 김수현
    in 수학강연회

    <학부생을 위한 ɛ 강연> Continuous-time Portfolio Selection

Board Pagination Prev 1 2 3 4 5 6 7 8 9 10 11 12 Next
/ 12