Localization of electromagnetic waves in two-dimensional disordered systems.

We calculate the average transmission for s -and p-polarized electromagnetic (ЕМ) waves and consequently the localization length of two dimensional disordered systems which are periodic on the average; the periodic systems form a square lattice consisting of infinitely long cylinders parallel to each other and embedded in a different dielectric medium. In particular, we study the dependence of the localization length on the frequency, the dielectric function ratio between the scatterer and the background, and the filling ratio of the scatterer. We find the optimum conditions for obtaining the localization of ЕМ waves in 2D systems.

[1]  Ekmel Ozbay,et al.  Micromachined millimeter‐wave photonic band‐gap crystals , 1994 .

[2]  Kondilis,et al.  Numerical calculations on optical localization in multilayer structures with random-thickness layers. , 1992, Physical review. B, Condensed matter.

[3]  R. Alben,et al.  Exact results for a three-dimensional alloy with site diagonal disorder: comparison with the coherent potential approximation , 1975 .

[4]  Christensen,et al.  Anderson localization in one-dimensional randomly disordered optical systems that are periodic on average. , 1993, Physical review. B, Condensed matter.

[5]  John Maddox,et al.  Photonic band-gaps bite the dust , 1990, Nature.

[6]  Chan,et al.  Existence of a photonic gap in periodic dielectric structures. , 1990, Physical review letters.

[7]  Ping Sheng,et al.  Scattering And Localization Of Classical Waves In Random Media , 1990 .

[8]  Wolf,et al.  Coherent backscattering of light by disordered media: Analysis of the peak line shape. , 1986, Physical review letters.

[9]  J. Pendry,et al.  Calculation of photon dispersion relations. , 1992, Physical review letters.

[10]  Robertson,et al.  Measurement of photonic band structure in a two-dimensional periodic dielectric array. , 1992, Physical review letters.

[11]  A. Lagendijk,et al.  Observation of weak localization of light in a random medium. , 1985, Physical review letters.

[12]  Wolf,et al.  Weak localization and coherent backscattering of photons in disordered media. , 1985, Physical review letters.

[13]  Drake,et al.  Observation of nonclassical optical diffusion. , 1989, Physical review letters.

[14]  Costas M. Soukoulis,et al.  Photonic band gaps and localization , 1993 .

[15]  S. John,et al.  Localization of Light , 1991 .

[16]  David R. Smith,et al.  Experimental and theoretical results for a two‐dimensional metal photonic band‐gap cavity , 1994 .

[17]  Alexei A. Maradudin,et al.  Two-dimensional photonic band structures , 1991 .

[18]  A. MacKinnon,et al.  The scaling theory of electrons in disordered solids: Additional numerical results , 1983 .

[19]  Villeneuve,et al.  Photonic band gaps in two-dimensional square and hexagonal lattices. , 1992, Physical review. B, Condensed matter.

[20]  Chan,et al.  Order-N spectral method for electromagnetic waves. , 1995, Physical review. B, Condensed matter.

[21]  Economou,et al.  Classical wave propagation in periodic structures: Cermet versus network topology. , 1993, Physical review. B, Condensed matter.

[22]  White,et al.  Minimum wave-localization length in a one-dimensional random medium. , 1986, Physical review. B, Condensed matter.

[23]  Chan,et al.  Photonic band gaps and defects in two dimensions: Studies of the transmission coefficient. , 1993, Physical review. B, Condensed matter.

[24]  E. N. Economou,et al.  Study of electronic states with off-diagonal disorder in two dimensions , 1982 .

[25]  Strong localization of light in two-dimensional disordered dielectric media , 1992 .

[26]  Datta,et al.  Propagation of classical waves in random media. , 1994, Physical review. B, Condensed matter.

[27]  Photonic Bandtail in 1D Randomly-perturbed Periodic Systems , 1993 .

[28]  Economou,et al.  Classical wave propagation in periodic structures. , 1989, Physical review. B, Condensed matter.

[29]  Chan,et al.  Electromagnetic-wave propagation through dispersive and absorptive photonic-band-gap materials. , 1994, Physical review. B, Condensed matter.

[30]  S. John.  Electromagnetic absorption in a disordered medium near a photon mobility edge , 1984 .

[31]  Lagendijk,et al.  Light scattering in strongly scattering media: Multiple scattering and weak localization. , 1988, Physical review. B, Condensed matter.

[32]  Wang,et al.  Molecular-dynamics study of anharmonic effects in silicon. , 1989, Physical review. B, Condensed matter.

[33]  Robert R. Alfano,et al.  Photons for prompt tumour detection , 1992 .

[34]  Philip St. J. Russell.  Photonic band gaps , 1992 .

[35]  John B. Pendry,et al.  Photonic Band Structures , 1994 .