On subwavelength and open resonators involving metamaterials of negative refraction index

A one-dimensional (1D) subwavelength resonator utilizing a left-handed material (LHM) is first chosen as an example to show that for a reliable analysis, one should use the wave-field theory instead of the ray-trace theory. The resonant modes of a 2D subwavelength open resonator utilizing an LHM is calculated with wave-field simulation. An open resonator formed by a photonic crystal with negative effective index is also studied.

[1]  Coupling between plane waves and Bloch waves in photonic crystals with negative refraction , 2005 .

[2]  Sacharia Albin,et al.  Numerical techniques for excitation and analysis of defect modes in photonic crystals. , 2003, Optics express.

[3]  V. Veselago.  The Electrodynamics of Substances with Simultaneously Negative Values of ∊ and μ , 1968 .

[4]  R. Mittra,et al.  Efficient computation of resonant frequencies and quality factors of cavities via a combination of the finite-difference time-domain technique and the Pade approximation , 1998 .

[5]  Richard Ziolkowski,et al.  Pulsed and CW Gaussian beam interactions with double negative metamaterial slabs. , 2003, Optics express.

[6]  Masaya Notomi,et al.  Theory of light propagation in strongly modulated photonic crystals: Refractionlike behavior in the vicinity of the photonic band gap , 2000 .

[7]  J. Pendry,et al.  Negative refraction makes a perfect lens , 2000, Physical review letters.

[8]  N. Engheta,et al.  An idea for thin subwavelength cavity resonators using metamaterials with negative permittivity and permeability , 2002, IEEE Antennas and Wireless Propagation Letters.

[9]  Sailing He,et al.  Three-dimensional photonic crystal of negative refraction achieved by interference lithography. , 2004, Optics letters.

[10]  Allen Taflove,et al.  Computational Electrodynamics the Finite-Difference Time-Domain Method , 1995 .

[11]  Wei-Hua Guo,et al.  Computation of resonant frequencies and quality factors of cavities by FDTD technique and Pade approximation , 2001 .

[12]  Steven G. Johnson,et al.  All-angle negative refraction in a three-dimensionally periodic photonic crystal , 2002 .

[13]  R. Shelby,et al.  Experimental Verification of a Negative Index of Refraction , 2001, Science.