Electromagnetic and material contributions to stress, energy, and momentum in metamaterials

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Published: Jan 9, 2017
DOI: https://doi.org/10.7716/aem.v6i1.430
Keywords:
optical momentum SEM tensors Lorentz force Abraham-Minkowski

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B. A. Kemp
Arkansas State University
C. J. Sheppard
Arkansas State University

Abstract

We demonstrate modeling of the field-kinetic and material response subsystem for various media and extend the models to dispersive negative index metamaterials.  It is shown that neither the Minkowski or Abraham models are universally correct, as demonstrated to describe metamaterials under both the field-kinetic and wave SEM models for various applications such as negative refraction, perfect lensing, and invisibility cloaking.

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How to Cite
Kemp, B. A., & Sheppard, C. J. (2017). Electromagnetic and material contributions to stress, energy, and momentum in metamaterials. Advanced Electromagnetics, 6(1), 11–19. https://doi.org/10.7716/aem.v6i1.430
Issue
Vol. 6 No. 1 (2017)
Section
Research Articles

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Author Biography

B. A. Kemp, Arkansas State University

Brandon A. Kemp is an associate professor and the Coe Endowed Professor of Engineering at Arkansas State University.  He is a 2012 NSF CAREER award winner, an Arkansas Research Alliance Fellow, and a member of the Arkansas EPSCoR Center for Advanced Surface Engineering (CASE). He received a B.S. Engr. from Arkansas State University, a MSEE from the University of Missouri-Rolla, and a PhD from the Massachusetts Institute of Technology. Dr. Kemp is an experienced professional engineer with expertise in the application of advanced analytic methods to a variety of technical areas including electromagnetic wave theory, optics, and engineering systems. Prior to becoming a faculty member at ASU, he spent several years in product and technology development.

References

B. A. Kemp, "Resolution of the Abraham-Minkowski debate: Implications for the electromagnetic wave theory of light in matter," J. Appl. Phys., vol. 109, p. 111101, 2011.

View Article

S. M. Barnett, "Resolution of the Abraham-Minkowski dilemma," Phys. Rev. Lett., vol. 104, p. 070401, 2010.

View Article

B. A. Kemp, "Macroscopic theory of optical momentum,"Prog. Optics, vol. 60, p. 437, 2015.

View Article

C. J. Sheppard and B. A. Kemp, "Kinetic-energy-momentum tensor in electrodynamics," Phys. Rev. A, vol. 93, p. 013855, 2016.

View Article

C. J. Sheppard and B. A. Kemp, "Relativistic analysis of field-kinetic and canonical electromagnetic systems,"Phys. Rev. A, vol. 93, p. 053832, 2016.

B. A. Kemp, J. A. Kong, and T. M. Grzegorczyk, "Reversal of wave momentum in isotropic left-handed media," Phys. Rev. A, vol. 75, p. 053810, 2007.

T. M. Grzegorczyk and B. A. Kemp, "Transfer of optical momentum: reconciliations of the Abraham and Minkowski formulations," Proc. SPIE, vol. 7038, p.70381S, 2008.

View Article

M. Mansuripur, "Radiation pressure and the linear momentum of the electromagnetic field," Opt. Express, vol. 12, p. 5375, 2004.

B. A. Kemp, T. M. Grzegorczyk, and J. A. Kong, "Lorentz force on dielectric and magnetic particles," J. of Electromagn. Waves and Appl., vol. 20, p. 827, 2006.

B. A. Kemp and T. M. Grzegorczyk, "The observable pressure of light in dielectric fluids," Opt. Lett., vol. 36, no. 4, p. 493, 2011.

C. J. Sheppard and B. A. Kemp, "Optical pressure deduced from energy relations within relativistic formulations of electrodynamics," Phys. Rev. A, vol. 89, no. 1, p. 013825, 2014.

B. A. Kemp, "Subsystem approach to the electrodynamics in dielectric fluids," Proc. SPIE, vol. 8458, p.845803, 2012.

B. A. Kemp, "Comment on "revisiting the Balazs thought experiment in the presence of loss: electromagnetic-pulse-induced displacement of a positive-index slab having arbitrary complex permittivity and permeability"," Appl. Phys. A, vol. 110, p.517, 2013.

M. Mansuripur, A. R. Zakharian, and E. W. Wright, "Electromagnetic-force distribution inside matter," Phys. Rev. A, vol. 88, p. 023826, 2013.

View Article

N. G. C. Astrath, L. C. Malacarne, M. L. Baesso, G. V. B. Lukasievicz, and S. E. Bialkowski, "Unravelling the effects of radiation forces in water," Nat. Commun., vol. 5, p. 4363, 2014.

View Article

P. Penfield and H. A. Haus, Electrodynamics of Moving Media. Cambridge, MA: M.I.T. Press, 1967.

N. L. Balazs, Phys. Rev., vol. 91, p. 408, 195d.

R. Loudon, "Radiation pressure and momentum in dielectrics," Fortschr. Phys, vol. 52, p. 1134, 2004.

M. G. Scullion and S. M. Barnett, "Optical momentum in negative-index media," J. Mod. Opt., vol. 55, p. 2301, 2008.

J. A. Kong, Electromagnetic Wave Theory. Cambridge, MA: EMW Publishing, 2005.

L. Brillouin, Wave Propagation and Group Velocity. New York: Academic Press, 1960.

R. Loudon, "The propagation of electromagnetic energy through an absorbing dielectric," J. Phys. A, vol. 3, p. 233, 1970.

View Article

R. Loudon, L. Allen, and D. F. Nelson, "Propagation of electromagnetic energy and momentum through an absorbing dielectric," Phys. Rev. E, vol. 55, p. 1071, 1997.

View Article

S. A. Ramakrishna and T. M. Grzegorczyk, Physics and Applications of Negative Refractive Index Materials. CRC Press, 2008.

L. D. Landau, E. M. Lifshitz, and L. P. Pitaevskii, Electrodynamics of Continuous Media, 2nd ed. New York: Pergamon, 1984.

J. D. Jackson, Classical Electrodynamics. New York: John Wiley and Sons, 1999.

View Article

V. G. Veselago, "The electrodynamics of substances with simultaneously negative values of _ and _," Sov. Phys. Usp., vol. 10, p. 509, 1968.

R. Loudon, S. M. Barnett, and C. Baxter, "Radiation pressure and momentum transfer in dielectrics: The photon drag effect," Phys. Rev. A, vol. 71, p. 063802, 2005.

B. A. Kemp, T. M. Grzegorczyk, and J. A. Kong, "Optical momentum transfer to absorbing Mie particles," Phys. Rev. Lett., vol. 97, p. 133902, 2006.

R. V. Jones and J. C. S. Richards, "The pressure of radiation in a refracting medium," Proc. R. Soc. Lond. A., vol. 221, p. 480, 1954.

R. V. Jones and B. Leslie, "The measurement of optical radiation pressure in dispersive media," Proc. R. Soc. Lond. A., vol. 360, p. 347, 1978.

G. K. Campbell, A. E. Leanhardt, J. Mun, M. Boyd, E. W. Streed, W. Ketterle, and D. E. Pritchard, "Photon recoil momentum in dispersive media," Phys. Rev. Lett., vol. 94, p. 170403, 2005.

H. Chen, B. Zhang, Y. Luo, B. A. Kemp, J. Zhang, L. Ran, and B.-I. Wu, "Lorentz force and radiation pressure on a spherical cloak," Phys. Rev. A, vol. 80, p. 011808, 2009.

H. Chen, B. Zhang, B. A. Kemp, and B.-I. Wu, "Optical force on a cylindrical cloak under arbitrary wave illumination," Opt. Lett., vol. 35, p. 667, March 2010.