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More studies on metamaterials mimicking de Sitter space
Miao Li, Rong-Xin Miao, and Yi Pang »View Author Affiliations
1Kavli Institute for Theoretical Physics, Key Laboratory of Frontiers in Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China
2Interdisciplinary Center for Theoretical Study, University of Science and Technology of China, Hefei, Anhui 230026, China
*Corresponding author: mrx11@mail.ustc.edu.cn
Optics Express, Vol. 18, Issue 9, pp. 9026-9033 (2010)
http://dx.doi.org/10.1364/OE.18.009026
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Abstract
We estimate the dominating frequencies contributing to the Casimir energy in a cavity of meta- materials mimicking de Sitter space, by solving the eigenvalue problem of Maxwell equations. It turns out the dominating frequencies are the inverse of the size of the cavity, and the degeneracy of these frequencies also explains our previous result on the unusually large Casimir energy. Our result suggests that carrying out the experiment in laboratory is possible theoretically.
© 2010 Optical Society of America
OCIS Codes
(000.2780) General : Gravity
(000.6800) General : Theoretical physics
ToC Category:
Physical Optics
History
Original Manuscript: January 5, 2010
Revised Manuscript: March 30, 2010
Manuscript Accepted: April 1, 2010
Published: April 14, 2010
Citation
Miao Li, Rong-Xin Miao, and Yi Pang, "More studies on metamaterials mimicking de Sitter space," Opt. Express 18, 9026-9033 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-9-9026
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- T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, "Terahertz Magnetic Response from Artificial Materials," Science 303, 1494-1496 (2004). [CrossRef] [PubMed]
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Ann. Phys.
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Annals Phys.
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- R. Balian and B. Duplantier, "Electromagnetic Waves Near Perfect Conductors. 2. Casimir Effect," Annals Phys. 112, 165-208 (1978). [CrossRef]
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Astron. J.
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Astrophys. J.
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Astrophys.J.
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Indag. Math.
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J. Cosmol. Astropart. Phys.
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J. Math. Phys.
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Nature
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Phys. Rev.
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Phys. Rev. D
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Science
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Theor. Math. Phys.
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Other
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2009, Niu, Opt. Express
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- J. B. Pendry, D. Schurig, and D. R. Smith, "Controlling Electromagnetic Fields," Science 312, 1780-1782 (2006). [CrossRef] [PubMed]
- T. G. Mackay, S. Setiawan and A. Lakhtakia, "Negative phase velocity of electromagnetic waves and the cosmological constant," Eur. Phys. J. C 41S1, 1-4 (2005). [CrossRef]
- D. R. Smith, J. B. Pendry, and M. C. K. Wiltshire, "Metamaterials and Negative Refractive Index," Science 305, 788-792 (2004). [CrossRef] [PubMed]
- T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, "Terahertz Magnetic Response from Artificial Materials," Science 303, 1494-1496 (2004). [CrossRef] [PubMed]
- S. Linden, C. Enkrich, M. Wegener, J. Zhou, T. Koschny, and C. M. Soukoulis, "Magnetic Response of Metamaterials at 100 Terahertz," Science 306, 1351-1353 (2004). [CrossRef] [PubMed]
- Miao Li, "A Model of holographic dark energy," Phys. Lett. B 603, 1-5 (2004). [CrossRef]
- Qing-Guo Huang and Miao Li, "The Holographic Dark Energy in a Non-flat Universe," J. Cosmol. Astropart. Phys. 0408, 013 (2004). [CrossRef]
- E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, "Negative refraction by photonic crystals," Nature 423, 604-605 (2003). [CrossRef] [PubMed]
- A. A. Houck, J. B. Brock, and I. L. Chuang, "Experimental Observations of a Left-Handed Material That Obeys Snell’s Law," Phys. Rev. Lett. 90, 137401 (2003). [CrossRef] [PubMed]
- R. A. Shelby, D. R. Smith, and S. Shultz, "Experimental Verification of a Negative Index of Refraction," Science 292, 77-79 (2001). [CrossRef] [PubMed]
- S. Perlmuttter, G. Aldering, G. Goldhaber, R. A. Knop, P. Nugent, P. G. Castro, S. Deustua, S. Fabbro, A. Goobar, D. E. Groom, I. M. Hook, A. G. Kim, M. Y. Kim, J. C. Lee, N. J. Nunes, R. Pain, C. R. Pennypacker, R. Quimby, C. Lidman, R. S. Ellis, M. Irwin, R. G. McMahon, P. Ruiz-Lapuente, N. Walton, B. Schaefer, B. J. Boyle, A. V. Filippenko, T. Matheson, A. S. Fruchter, N. Panagia, H. J. M. Newberg, and W. J. Couch, "Measurements of Omega and Lambda from 42 High-Redshift Supernovae," Astrophys.J. 517, 565-586 (1999).
- A. G. Riess, A. V. Filippenko, P. Challis, A. Clocchiattia, A. Diercks, P. M. Garnavich, R. L. Gilliland, C. J. Hogan, S. Jha, R. P. Kirshner, B. Leibundgut, M. M. Phillips, D. Reiss, B. P. Schmidt, R. A. Schommer, R. C. Smith, J. Spyromilio, C. Stubbs, N. B. Suntzeff, and J. Tonry, "Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant," Astron. J. 116, 1009-1038 (1998). [CrossRef]
- M. Bordag, E. Elizalde, K. Kirsten and S. Leseduarte, "Casimir energies for massive fields in the bag," Phys. Rev. D 56, 4896-4904 (1997). [CrossRef]
- S. D. Odintsov, "Vilkovisky effective action in quantum gravity with matter," Theor. Math. Phys. 82, 45-51 (1990). [CrossRef]
- G. Plunien, B. Muller and W. Greiner, "The Casimir Effect," Phys. Rept. 134, 87-193 (1986). [CrossRef]
- K. A. Milton, "Fermionic Casimir Stress On A Spherical Bag," Annals Phys. 150, 432-438 (1983). [CrossRef]
- K. A. Milton, "Semiclassical Electron Models: Casimir Selfstress In Dielectric And Conducting Balls," Ann. Phys. 127, 49-61 (1980). [CrossRef]
- R. Balian and B. Duplantier, "Electromagnetic Waves Near Perfect Conductors. 2. Casimir Effect," Annals Phys. 112, 165-208 (1978). [CrossRef]
- K. A. Milton, L. L. DeRaad and J. S. Schwinger, "Casimir Selfstress On A Perfectly Conducting Spherical Shell," Annals Phys. 115, 388-403 (1978). [CrossRef]
- C. M. Bender and P. Hays, "Zero Point Energy Of Fields In A Finite Volume," Phys. Rev. D 14, 2622-2632 (1976). [CrossRef]
- L. H. Ford, "Quantum Vacuum Energy In General Relativity," Phys. Rev. D 11, 3370-3377 (1975). [CrossRef]
- S. A. Teukolsky, "Perturbations of a rotating black hole. 1. Fundamental equations for gravitational electromagnetic and neutrino field perturbations," Astrophys. J. 185, 635-648 (1973). [CrossRef]
- T. H. Boyer, "Quantum electromagnetic zero point energy of a conducting spherical shell and the Casimir model for a charged particle," Phys. Rev. 174, 1764-1776 (1968). [CrossRef]
- E. Newman and R. Penrose, "An Approach to gravitational radiation by a method of spin coefficients," J. Math. Phys. 3, 566-578 (1962). [CrossRef]
- J. Plebanski, "Electromagnetic Waves in Gravitational Fields," Phys. Rev. 118, 1396-1408 (1959). [CrossRef]
- H. B. G. Casimir, "On the Attraction Between Two Perfectly Conducting Plates," Indag. Math. 10, 261 (1948).
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