Electromagnetic properties of one-dimensional photonic crystals with single negative materials

Abstract

The electromagnetic properties of one-dimensional photonic crystals with two kinds of single negative (SNG) materials are investigated by the transfer matrix method. The results show that the photonic crystals have zero-effective phase (zero-Φ_eff) gap and angular gap, which are both non-Bragg gap. The zero-Φ_eff gap is invariant with the incident angle and lattice scaling for different polarizations. The gap can be adjusted by varying the ratio between the two single negative materials’ thickness. The angular gap is highly dependent on the incident angle and polarization, but it is insensitive to the ratio between the two single negative materials’ thickness and lattice scale length. It is also found that the electric field gets extremely enhanced at the lower edge of the angular gap for transverse magnetic (TM) wave. The characteristics will have potential applications in nonlinear optical apparatus.

Keywords

Incident Angle / Transverse Magnetic / Total Internal Reflection / Transfer Matrix Method / Lattice Scaling

References

[1] ZhangL. W., ZhangY. W., HeL.. J. Phys D: Appl. Phys., 2007, 40: 2579

[2] WengY., WangZ. G., ChenH.. Phys. Rev. E, 2007, 75: 046601

[3] D’AguannoG.. Nadia Mattiucci and Michael ScaloraPhys. Rev. E, 2006, 74: 026608

[4] C. Caloz and T. Ioh., Electromagnetic Metamaterials, Transmission Line Theory and Microwave Applications, Wiley and IEEE Press, 59 (2005).

[5] WangL. G., ChenH., ZhuS. Y.. Phys. Rev. B, 2004, 70: 245102