X. Sun and D. L. Jaggard, �??Wave interactions with generalized Cantor bar fractal multilayers,�?? J. Appl. Phys. 70, 2500�??2507 (1991).

[CrossRef]

S. Alexander and R. Orbach, �??Density of states on fractals - fractons,�?? J. Phys. (Paris), Lett. 43, L625�??L631 (1982).

[CrossRef]

K. Sakoda, �??Electromagnetic eigenmodes of a three-dimensional photonic fractal,�?? Phys. Rev. B in press.

K. Sakoda, �??Symmetry, degeneracy, and uncoupled modes in two-dimensional photonic lattices,�?? Phys. Rev. B 52, 7982�??7986 (1995).

[CrossRef]

K. Sakoda and H. Shiroma, �??Numerical method for localized defect modes in photonic lattices,�?? Phys. Rev. B 56, 4830�??4835 (1997).

[CrossRef]

J. W. Kantelhardt, A. Bunde, and L. Schweitzer, �??Extended fractons and localized phonons on percolation clusters,�?? Phys. Rev. Lett. 81, 4907�??4910 (1998).

[CrossRef]

M. Wada-Takeda, S. Kirihara, Y. Miyamoto, K. Sakoda, and K. Honda, �??Localization of electromagnetic waves in three-dimensional photonic fractal cavities,�?? Phys. Rev. Lett. 92, Art. No. 093902 (2004).

W. J. Wen, L. Zhou, J. S. Li, W. K. Ge, C. T. Chen, and P. Sheng, �??Subwavelength photonic band gaps from planar fractals,�?? Phys. Rev. Lett. 89, Art. No. 223901 (2002).

[CrossRef]
[PubMed]

B. B. Mandelbrot, The Fractal Geometry of Nature (W. H. Freeman & Company, San Francisco, 1982).

J. Feder, Fractals (Plenum Press, New York, 1988).

See, for example, T. Inui, Y. Tanabe, and Y. Onodera, Group Theory and Its Applications in Physics (Springer-Verlag, Berlin 1990).

[CrossRef]

K. Sakoda, Optical Properties of Photonic Crystals, 2nd Ed. (Springer-Verlag, Berlin, 2004).

See for example A. Taflove, Computational Electrodynamics (Artech House, Boston, 1995).