Divergence of Casimir stress in inhomogeneous media

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 87, Issue 4, 2013, Pages

  Simpson, William M R ^a,b   Horsley, S A R ^c   Leonhardt, U ^b  

^a UNIVERSITY OF ST ANDREWS   (United Kingdom)

^b WEIZMANN INSTITUTE OF SCIENCE   (Israel)

^c UNIVERSITY OF EXETER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CASIMIR FORCE; DIELECTRIC MEDIUM; INHOMOGENEOUS MEDIA; MAGNETODIELECTRICS; REGULARIZATION PROCEDURE; SIMPLE MODIFICATIONS; STRESS TENSORS; TEMPORAL DISPERSION;

MATHEMATICAL MODELS; PHYSICS;

TENSORS;

EID: 84876098964     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.87.043806     Document Type: Article

References (27)

1. H. B. G. Casimir, Koninkl. Ned. Akad. Wetenschap. 51, 793 (1948).
2. I. E. Dzyaloshinskii, E. M. Lifshitz, and L. P. Pitaevskii, Adv. Phys. ADPHAH 0001-8732 10.1080/00018736100101281 10, 165 (1961).
3. J. N. Munday, F. Capasso, and V. A. Parsegian, Nature (London) NATUAS 0028-0836 10.1038/nature07610 457, 170 (2009).
4. A. W. Rodriguez, F. Capasso, and S. G. Johnson, Nat. Photonics 1749-4885 10.1038/nphoton.2011.39 5, 211 (2011).
5. G. L. Klimchitskaya, U. Mohideen, and V. M. Mostepanenko, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.81.1827 81, 1827 (2009).
6. T. G. Philbin, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/12/12/ 123008 12, 123008 (2010).
7. T. G. Philbin, New. J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/13/6/ 063026 13, 063026 (2011).
8. L. D. Landau and E. M. Lifshitz, Statistical Physics (Part 1) (Butterworth-Heinemann, Oxford, UK, 2005).
9. E. M. Lifshitz and L. P. Pitaevskii, Statistical Physics (Part 2) (Butterworth-Heinemann, Oxford, UK, 2003).
10. T. G. Philbin, C. Xiong, and U. Leonhardt, Ann. Phys. 325, 579 (2009).
11. U. Leonhardt, Quantum Optics (Cambridge University Press, Cambridge, UK, 2010).
12. L. P. Pitaevskii, Casimir Physics (Springer, Berlin, 2011).
13. F. S. S. Rosa, D. A. R. Dalvit, and P. W. Milonni, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.84.053813 84, 053813 (2011).
14. S. I. Goto, A. C. Hale, R. W. Tucker, and T. J. Walton, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.85.034103 85, 034103 (2012).
15. T. G. Philbin (private communication).
16. E. M. Lifshitz, Zh. Eksp. Teor. Fiz. 29, 94 (1955).
17. C. Genet, A. Lambrecht, and S. Reynaud, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.043811 67, 043811 (2003).
18. M. Born and E. Wolf, Principles of Optics (Cambridge University Press, Cambridge, UK, 1999).
19. I. A. Shelykh and V. K. Ivanov, Int. J. Theor. Phys. IJTPBM 0020-7748 10.1023/B:IJTP.0000028879.78809.48 43, 477 (2004). (Pubitemid 39015350)
20. M. Artoni, G. C. La Rocca, and F. Bassani, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.72.046604 72, 046604 (2005). (Pubitemid 41777999)
21. L. D. Landau and E. M. Lifshitz, Quantum Mechanics (Butterworth- Heinemann, Oxford, 2003).
22. 22 (see, e.g.,).
23. S. M. Barnett, B. Huttner, R. Loudon, and R. Matloob, J. Phys. B: At., Mol. Opt. Phys. JPAPEH 0953-4075 10.1088/0953-4075/29/16/019 29, 3763 (1996).
24. S. Scheel, L. Knöll, and D.-G. Welsch, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.60.4094 60, 4094 (1999).
25. We also note that the electric and magnetic coefficients are equal due to impedance matching and hence need not be referred to separately.
26. S. A. Ellingsen, J.Phys. A: Math. Theor. 1751-8113 10.1088/1751-8113/40/ 9/003 40, 1951 (2007).
27. U. Leonhardt and W. M. R. Simpson, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.84.081701 84, 081701 (2011).