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4 Dispersive Materials Many materials have a frequency dependent dielectric response. For metals this response is often approximated using the Drude model. To model these materials using the FDTD method, auxiliary differential equations are used to link the material polarization and electric flux density [42, 48, 49]. These equations are updated self-consistently with the FDTD equations. / D "1 2 ! i! D is the Drude pole frequency, and D is the inverse of the pole relaxation time. To use Eq. "EE D r HE JE: (25) Equation (24) is then inserted into Eq.

45. Merewether, D. ; Smith, F. W. IEEE Trans. Nucl. Sci. 1980, 27, 1829–1833. L. Atkinson et al. 46. Umashankar, K. ; Taflove, A. IEEE Trans. Electromagn. Compat. 1982, 24, 397–405. 47. Mur, G. IEEE Trans. Electromagn. Compat. 1981, 23, 377–382. 48. ; Fukai, I. Microwave Opt. Tech. Lett. 1990, 3, 203–205. 49. Joseph, R. ; Hagness, S. ; Taflove, A. Optics Lett. 1991, 16, 1412–1414. 50. Payne, E. ; Shuford, K. ; Schatz, G. ; Mirkin, C. A. J. Phys. Chem. B 2006, 110, 2150–2154. 51. Haynes, C. ; McFarland, A.

Schatz, G. C. J. Phys. Chem. B 2003, 107, 668–677. 16. Kelly, K. ; Jensen, T. ; Lazarides, A. ; Schatz, G. C. ; Marcel-Dekker: New York, 2002, pp. 89–118. 17. Kelly, K. ; Lazarides, A. ; Schatz, G. C. Computing in Science & Engineering 2001, 3, 67–73. 18. Lazarides, A. ; Kelly, K. ; Jensen, T. ; Schatz, G. C. Theochem 2000, 529, 59–63. 19. Lazarides, A. ; Kelly, K. ; Schatz, G. C. Mat. Res. Soc. Symp. Proc. 2001, 635, 1–10. 20. Lazarides, A. ; Schatz, G. C. J. Phys. Chem. 2000, 104, 460–467. 21.

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