Efficient evaluation of Casimir force in arbitrary three-dimensional geometries by integral equation methods

被引:15
|
作者
Xiong, Jie L. [1 ,2 ]
Tong, Mei Song [2 ]
Atkins, Phillip [1 ,2 ]
Chew, Weng Cho [1 ,2 ]
机构
[1] Univ Hong Kong, Fac Engn, Hong Kong, Hong Kong, Peoples R China
[2] Univ Illinois, Urbana, IL 61801 USA
关键词
Casimir force; Maxwell-stress tensor; Computational electromagnetics; Integral equation method;
D O I
10.1016/j.physleta.2010.04.036
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this Letter, we generalized the surface integral equation method for the evaluation of Casimir force in arbitrary three-dimensional geometries. Similar to the two-dimensional case, the evaluation of the mean Maxwell stress tensor is cast into solving a series of three-dimensional scattering problems. The formulation and solution of the three-dimensional scattering problems are well-studied in classical computational electromagnetics. This Letter demonstrates that this quantum electrodynamic phenomenon can be studied using the knowledge and techniques of classical electrodynamics. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码:2517 / 2520
页数:4
相关论文
共 50 条
  • [41] An integral equation formulation of two- and three-dimensional nanoscale inhomogeneities
    Dong, C. Y.
    [J]. COMPUTATIONAL MECHANICS, 2012, 49 (03) : 309 - 318
  • [42] Three-Dimensional RISM Integral Equation Theory for Polarizable Solute Models
    Hoffgaard, Franziska
    Heil, Jochen
    Kast, Stefan M.
    [J]. JOURNAL OF CHEMICAL THEORY AND COMPUTATION, 2013, 9 (11) : 4718 - 4726
  • [43] Contraction Integral Equation for Three-Dimensional Electromagnetic Inverse Scattering Problems
    Zhong, Yu
    Xu, Kuiwen
    [J]. JOURNAL OF IMAGING, 2019, 5 (02):
  • [44] An integral equation approach to three-dimensional acoustic radiation and scattering problems
    Yang, SA
    [J]. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2004, 116 (03): : 1372 - 1380
  • [45] Three-dimensional design optimization using the boundary integral equation method
    Erman, Z
    Fenner, RT
    [J]. JOURNAL OF STRAIN ANALYSIS FOR ENGINEERING DESIGN, 1996, 31 (04): : 289 - 298
  • [46] An integral equation formulation of two- and three-dimensional nanoscale inhomogeneities
    C. Y. Dong
    [J]. Computational Mechanics, 2012, 49 : 309 - 318
  • [47] Integral representation of a solution to three-dimensional elliptic equation with strong degeneration
    Khabibullina G.Z.
    Makletsov S.V.
    Mavlyaviev R.M.
    [J]. Russian Mathematics, 2015, 59 (11) : 62 - 67
  • [48] Calculation and optimization of three-dimensional waveguide systems by the integral equation method
    Gashturi, A. P.
    Denisov, G. G.
    Mishakin, S. V.
    Samsonov, S. V.
    [J]. RADIOPHYSICS AND QUANTUM ELECTRONICS, 2008, 51 (09) : 671 - 680
  • [49] Calculation and optimization of three-dimensional waveguide systems by the integral equation method
    A. P. Gashturi
    G. G. Denisov
    S. V. Mishakin
    S. V. Samsonov
    [J]. Radiophysics and Quantum Electronics, 2008, 51 : 671 - 680
  • [50] Reconstruction of Three-Dimensional Dielectric Objects through Integral Equation Method
    Tong, M. S.
    Sheng, W. T.
    Zhu, Z. Y.
    Xu, Z.
    Zhou, J. H.
    Yin, X. F.
    [J]. 2012 IEEE ANTENNAS AND PROPAGATION SOCIETY INTERNATIONAL SYMPOSIUM (APSURSI), 2012,