Ray trajectories for Alcubierre spacetime

Journal of Optics

Volumn 13, Issue 5, 2011, Pages

  Anderson, Tom H ^a   MacKay, Tom G ^a,b   Lakhtakia, Akhlesh ^b,c  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

^b The Pennsylvania State University   (United States)

^c PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

Alcubierre warp drive; metamaterial; ray tracing; Tamm medium

Indexed keywords

METAMATERIALS; RAY TRACING;

CONSTITUTIVE PARAMETERS; CONTINUOUS FUNCTIONS; PHYSICAL REALIZATION; PROPAGATION DIRECTION; RAY TRAJECTORIES; SPATIAL COORDINATES; TAMM MEDIUM; TRANSITION ZONES;

TRAJECTORIES;

EID: 79955797909     PISSN: 20408978     EISSN: 20408986     Source Type: Journal    
DOI: 10.1088/2040-8978/13/5/055107     Document Type: Article

References (36)

1. Smolyaninov I I 2011 Metamaterial 'multiverse' J. Opt. 13 024004
2. Skrotskii G V 1957 The influence of gravitation on the propagation of light Sov. Phys.-Dokl. 2 226-9
3. Plébanski J 1960 Electromagnetic waves in gravitational fields Phys. Rev. 118 1396-408
4. Schleich W and Scully M O 1984 General relativity and modern optics New Trends in Atomic Physics ed G Grynberg and R Stora (Amsterdam: Elsevier) pp995-1124
5. Smolyaninov I I 2003 Surface plasmon toy model of a rotating blackhole New J. Phys. 5 147
6. Mackay T G and Lakhtakia A 2010 Towards a metamaterial simulation of a spinning cosmic string Phys. Lett. A 374 2305-8
7. Li M, Miao R-X and Pang Y 2010 Casimir energy, holographic dark energy and electromagnetic metamaterial mimicking deSitter Phys. Lett. B 689 55-9
8. Li M, Miao R-X and Pang Y 2010 More studies on metamaterials mimicking de Sitter space Opt. Express 18 9026-33
9. Greenleaf A, Kurylev Y, Lassas M and Uhlmann G 2009 Cloaking devices, electromagnetic wormholes, and transformation optics SIAM Rev. 51 3-33
10. Alcubierre M 1994 The warp drive: hyper-fast travel within general relativity Class. Quantum Grav. 11 L73-7
11. Clark C, Hiscock W A and Larson S I 1999 Null geodesics in the Alcubierre warp-drive spacetime: the view from the bridge Class. Quantum Grav. 16 3965-72
12. Natrio J 2002 Warp drive with zero expansion Class. Quantum Grav. 19 1157-66
13. Pfenning M J and Ford L H 1997 The unphysical nature of 'warpdrive' Class. Quantum Grav. 14 1743-52
14. Van Den Broeck C 1999 A 'warp drive' with more reasonable total energy requirements Class. Quantum Grav. 16 3973-80
15. Lobo F S N and Visser M 2004 Fundamental limitations on warp drive spacetimes Class. Quantum Grav. 11 5871-92 (Pubitemid 40004959)
16. Hawking S W 1975 Particle creation by black holes Commun. Math. Phys. 43 199-220
17. Safonova M, Torres D F and Romero G E 2001 Microlensing by natural wormholes: theory and simulations Phys. Rev. D 65 023001
18. McCall M W, Lakhtakia A and Weiglhofer W S 2002 The negative index of refraction demystified Eur. J. Phys. 23 353-9 (Pubitemid 34590118)
19. Mackay T G and Lakhtakia A 2009 Negative refraction, negative phase velocity, and counterposition in bianisotropic materials and metamaterials Phys. Rev. B 79 235121
20. Shelby R A, Smith D R and Schultz S 2001 Experimental verification of a negative index of refraction Science 292 77-9 (Pubitemid 32289127)
21. Ziolkowski R W 2001 Superluminal transmission of information through an electromagnetic metamaterial Phys. Rev. E 63 046604
22. Ruppin R 2002 Electromagnetic energy density in a dispersive and absorptive material Phys. Lett. A 299 309-12
23. Chen H C 1983 Theory of Electromagnetic Waves (New York: McGraw-Hill)
24. Mackay T G and Lakhtakia A 2010 Electromagnetic Anisotropy and Bianisotropy: A Field Guide (Singapore: World Scientific)
25. Lakhtakia K and Weiglhofer W S 1997 On electromagnetic fields in a linear medium with gyrotropic-like magnetoelectric properties Microwave Opt. Technol. Lett. 15 168-70 (Pubitemid 127700351)
26. Krowne C M 1984 Electromagnetic theorems for complex anisotropic media IEEE Trans. Antennas Propagat. 32 1224-30
27. Lakhtakia A 2004 On the genesis of Post constraint in modern electromagnetism Optik 115 151-8
28. Levy U, Abashin M, Ikeda K, Krishnamoorthy A, Cunningham J and Fainman Y 2007 Inhomogenous dielectric metamaterials with space-variant polarizability Phys. Rev. Lett. 98 243901
29. Van Bladel J 1985 Electromagnetic Fields (Washington, DC: Hemisphere)
30. Mackay T G, Lakhtakia A and Setiawan S 2005 Gravitation and electromagnetic wave propagation with negative phase velocity New J. Phys. 7 75
31. Lakhtakia A and Mackay T G 2006 Dyadic Green function for an electromagnetic medium inspired by general relativity Chin. Phys. Lett. 23 832-3 (Pubitemid 43506177)
32. Mackay T G and Lakhtakia A 2004 Plane waves with negative phase velocity in Faraday chiral mediums Phys. Rev. E 69 026602
33. Anderson T H, Mackay T G and Lakhtakia A 2010 Ray trajectories for a spinning cosmic string and a manifestation of self-cloaking Phys. Lett. A 374 4637-41
34. Kline M and Kay I W 1965 Electromagnetic Theory and Geometric Optics (New York: Interscience)
35. Sluijter M, De Boer D K and Urbach H P 2009 Ray-optics analysis of inhomogeneous biaxially anisotropic media J. Opt. Soc. Am. A 26 317-29
36. Smolyaninov I I 2010 Metamaterial-based model of the Alcubierre warpdrive http://arxiv.org/abs/1009.5663