Non-resonant electromagnetic scattering properties of Menger's sponge composed of isotropic paraelectric material

IEICE Transactions on Electronics

Volumn E90-C, Issue 2, 2007, Pages 484-491

  Sangawa, Ushio ^a  

^a PANASONIC CORPORATION   (Japan)

Author keywords

Born approximation; Fractal; Menger's sponge; Recursion equation; Scattering amplitude; Self similarity; Stage number

Indexed keywords

COMPUTATIONAL METHODS; ELECTROMAGNETIC WAVE SCATTERING; NUMBER THEORY; PARAMETER ESTIMATION; RECURSIVE FUNCTIONS;

BORN APPROXIMATION; MENGERS SPONGE; RECURSION EQUATION; RECURSION EQUATIONS; SCATTERING AMPLITUDE; SCATTERING PATTERNS; SELF-SIMILARITY; STAGE NUMBER;

FRACTALS;

EID: 33847174207     PISSN: 09168524     EISSN: 17451353     Source Type: Journal    
DOI: 10.1093/ietele/e90-c.2.484     Document Type: Conference Paper

References (12)

1. M.W. Takeda, S. Kirihara, Y. Miyamoto, K. Sakoda, and K. Honda, "Localization of electromagnetic waves in three-dimensional fractal cavities," Phys. Rev. Lett., vol.92, no.9, 093902, March 2004.
2. Y. Miyamoto, S. Kirihara, S. Kanehira, M.W. Takeda, K. Honda, and K. Sakoda, "Smart processing development of photonic crystals and fractals," Int. J. Appl. Ceram. Technol., vol.1, no.1, pp.40-48, 2004.
3. K. Sakoda, "Electromagnetic eigenmodes of a three-dimensional photonic fractal," Phys. Rev. B, vol.72, 184201, Nov. 2005.
4. K. Sakoda, "90-degree light scattering by the Menger sponge fractal," Opt. Express, vol.13, no.23, pp.9585-9597, Nov. 2005.
5. F.M. Schulz, K. Stamnes, and J.J. Stamnes, "Point-group symmetries in electromagnetic scattering," J. Opt. Soc. Am. A, vol.16, no.4, pp.853-865, April 1999.
6. C. Sibilia, I.S. Nefedov, M. Scalora, and M. Bertolotti, "Electromagnetic mode density for finite quasi-periodic structures," J. Opt. Soc. Am. B, vol.15, no.7, pp. 1947-1952, July 1998.
7. M. Bertolotti, P. Masciulli, C. Sibilia, F. Wijnands, and H. Hoekstra, "Transmission properties of a Cantor corrugated waveguide," J. Opt. Soc. Am. B, vol.13, no.3, pp.628-634, March 1996.
8. U. Sangawa, "Resonance analysis of multilayered filters with triadic Cantor-type one-dimensional quasi-fractal structures," IEICE Trans. Electron., vol.E88-C, no.10, pp.1981-1991, Oct. 2005.
9. O.J.F. Martin, C. Girard, and A. Dereux, "Generalized field propagator for electromagnetic scattering and light confinement," Phys. Rev. Lett., vol.74, no.4, pp.526-529, Jan. 1995.
10. L.I. Shiff, Quantum Mechanics, McGraw-Hill, New York, 1955.
11. L.A. Feigin and D.I. Svergun, Structure Analysis by Small-Angle X-ray and Neutron Scattering, ed. G.W. Taylor, Plenum Press, New York, 1987.
12. J. Feder, Fractals, Plenum Press, New York, 1988.