Abstract
The existence of localized electromagnetic eigenmodes in a three-dimensional metallic fractal of stage three was verified theoretically for the first time. Eigenfrequencies and the field distribution of the localized modes were successfully calculated by the numerical simulation of dipole radiation based on the finite-difference time-domain method. The 90° light-scattering spectra agreed well with the eigenfrequencies and satisfied the selection rule due to the symmetry of the eigenmodes.
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References
B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, San Francisco, 1982).
J. Feder, Fractals (Plenum, New York, 1988).
X. Sun and D. L. Jaggard, J. Appl. Phys. 70, 2500 (1991).
W. Wen, J. Zhou, J. Li, et al., Phys. Rev. Lett. 89, 223901 (2002).
M. Bertolotti, P. Masciulli, and C. Sibilia, Opt. Lett. 19, 777 (1994).
M. Bertolotti, P. Masciulli, P. Ranieri, and C. Sibilia, J. Opt. Soc. Am. B 13, 1517 (1996).
S. Alexander and R. Orbach, J. Phys. Lett. 43, 625 (1982).
J. W. Kantelhardt, A. Bunde, and L. Schweitzer, Phys. Rev. Lett. 81, 4907 (1998).
S. Kanehira, S. Kirihara, Y. Miyamoto, et al., J. Mat. Res. 18, 2214 (2003).
S. Kanehira, S. Kirihara, Y. Miyamoto, et al., J. Am. Ceram. Soc. 86, 1691 (2003).
M. Wada-Takeda, S. Kirihara, Y. Miyamoto, et al., Phys. Rev. Lett. 92, 093902 (2004).
K. Sakoda, S. Kirihara, Y. Miyamoto, et al., Appl. Phys. B 81, 321 (2005).
K. Sakoda, Phys. Rev. B 72, 184201 (2005).
K. Sakoda, Opt. Express 13, 9585 (2005).
T. Inui, Y. Tanabe, and Y. Onodera, Group Theory and Its Applications in Physics (Springer, Berlin, 1990).
K. Sakoda, Phys. Rev. B 52, 7982 (1995).
K. Sakoda, Optical Properties of Photonic Crystals, 2nd ed. (Springer, Berlin, 2004).
K. Sakoda and H. Shiroma, Phys. Rev. B 56, 4830 (1997).
A. Taflove, Computational Electrodynamics (Artech House, Boston, 1995).
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Original Text © Astro, Ltd., 2006.