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Casimir Force in Anisotropic Materials with ac Kerr Effect

By Jun Long Zhang, Zhi-Xiang Huang, and Xian-Liang Wu
Progress In Electromagnetics Research M, Vol. 38, 165-173, 2014


The Casimir force between an ellipsoid and a plate can be tuned by using the combination of anisotropic materials and nonlinear materials exhibiting the AC Kerr effect. The force was obtained numerically by using the FDTD method, based on the Maxwell's stress tensor. The results indicate that the force can be significantly varied by changing the intensity and location of the laser, as well as the properties of material. The sensitive changing between ellipsoid and plate structure with different materials' properties provides new possibilities of integrating optical devices into nano-electro-mechanical systems (NEMS).


Jun Long Zhang, Zhi-Xiang Huang, and Xian-Liang Wu, "Casimir Force in Anisotropic Materials with ac Kerr Effect," Progress In Electromagnetics Research M, Vol. 38, 165-173, 2014.


    1. Casimir, H. B. G., "On the attraction between two perfectly conducting plates," Proc. K. Ned. Akad. Wet., Vol. 51, 793-795, 1948.

    2. Atkins, P. R., Q. I. Dai, W. E. I. Sha, and W. C. Chew, "Casimir force for arbitrary objects using the argument principle and boundary element methods," Progress In Electromagnetics Research, Vol. 142, 615-624, 2013.

    3. Bordag, M., U. Mohideen, and V. M. Mostepaneko, "New developments in the Casimir effect," Phys. Rep., Vol. 353, No. 1, 2001.

    4. Klimchitskaya, G. L., U. Mohidden, and V. M. Mostepanenko, "Casimir and van der Waals forces between two plates or a sphere (lens) above a plate made of real metals," Phys. Rev. A, Vol. 61, 062107, 2000.

    5. Rodriguez, A., M. Ibanescu, D. Iannuzzi, F. Capasso, J. D. Joannopoulos, and S. G. Johnson, "Computation and visualization of casimir forces in arbitrary geometries: Nonmonotonic lateralwall forces and the failure of proximity-force approximations," Phys. Rev. Lett., Vol. 99, 080401, 2007.

    6. Rahi, S. J., M. Kardar, and T. Emig, "Constraints on stable equilibria with fluctuation-induced (Casimir) forces," Phys. Rev. Lett., Vol. 105, 070404, 2010.

    7. Lambrecht, A. and V. N. Marachevsky, "Casimir interaction of dielectric gratings," Phys. Rev. Lett., Vol. 101, 160403, 2008.

    8. Yang, Y., R. Zeng, H. Chen, S. Zhu, and M. S. Zubairy, "Controlling the Casimir force via the electromagnetic properties of materials," Phys. Rev. A, Vol. 81, 022114, 2010.

    9. Serry, F. M., D. Walliser, and G. J. Maclay, "The role of the Casimir effect in the static deflection and stiction of membrane strips in microelectromechanical systems (MEMS)," J. Appl. Phys., Vol. 84, 2501, 1998.

    10. De Los Santos, H. J., "Nanoelectromechanical quantum circuits and systems," Proc. IEEE., Vol. 91, 1907, 2003.

    11. Chan, H. B., V. A. Aksyuk, R. N. Kleiman, D. J. Bishop, and F. Capasso, "Nonlinear micromechanical casimir oscillator," Phys. Rev. Lett., Vol. 87, 211801, 2001.

    12. Capasso, F., J. N. Munday, D. Iannuzzi, and H. B. Chan, "Casimir forces and quantum electrodynamical torques: Physics and nanomechanics," IEEE. J. Quantum. Electron., Vol. 13, 400, 2007.

    13. Levin, M., A. P. McCauley, A. W. Rodriguez, M. T. H. Reid, and S. G. Johnson, "Casimir repulsion between metallic objects in vacuum," Phys. Rev. Lett., Vol. 105, 090403, 2010.

    14. Munday, J. N., F. Capasso, and V. A. Parsegian, "Measured long-range repulsive Casimir-Lifshitz forces," Nature, Vol. 457, 170-173, 2009.

    15. Chen, R. P. and C. H. R. Ooi, "Evolution and collapse of a Lorentz beam in kerr medium," Progress In Electromagnetics Research, Vol. 121, 39-52, 2011.

    16. Ooi, C. H. R. and Y. Y. Khoo, "Controlling the repulsive Casimir force with the optical Kerr effect," Phvs. Rev. A, Vol. 86, 062509, 2012.

    17. Huang, Z. X., T. Koschny, and C. M. Soukoulis, "Theory of pump-probe experiments of metallic metamaterials coupled to the gain medium," Phys. Rev. Lett.,, Vol. 108, 187402, 2012.

    18. Rodriguez, A. W., M. Ibanescu, D. Iannuzzi, J. D. Joannopoulos, and S. G. Johnson, "Virtual photons in imaginary time: Computing exact Casimir forces via standard numericalelectromagnetism techniques," Phys. Rev. A, Vol. 76, 032106, 2007.

    19. Rodriguez, A. W., A. P. McCauley, J. D. Joannopoulos, and S. G. Johnson, "Casimir forces in the time domain: Theory," Phys. Rev. A, Vol. 80, 012115, 2009.

    20. Brown, L. S. and G. J. Maclay, "Vacuum stress between conducting plates: An image solution," Phys. Rev. A, Vol. 184, 1272, 1969.