Analytical Investigation of TM Surface Waves in 1D Photonic Crystals Capped by a Self-Focusing Left-Handed Slab

Subject Areas : Journal of Optoelectronical Nanostructures

Karim Milanchian ¹ , Zahra eyni ²

1 - Department of Physics, Payame Noor University, PO BOX 19395-3697 Tehran, IRAN
2 - Department of Physics, Payame Noor University, PO BOX 19395-3697 Tehran, IRAN

Received: 2017-09-24 Accepted : 2018-02-05 Published : 2017-12-01

Keywords: Photonic Crystals, Nonlinear surface waves, Left-handed materials,

Abstract :

In this paper, the localized TM surface waves of a nonlinear self-focusing
left-handed slab sandwiched between a uniform medium and a one-dimensional
photonic crystal (1D PC) is analytically investigated. Our method is based on the first
integral of the nonlinear Maxwell's equations. For the TM surface waves, the presence
of two electric field components makes the analysis difficult. Therefore, we used the
uniaxial approximation for the nonlinear slab. The considered 1D PC can be a lefthanded
PC (made of alternate left-handed (LH) and right-handed material) or a usual
PC. In these structures, we find that the nonlinear LHM slab allows to control the
dispersion properties of p-polarized surface waves. It is shown that there are no surface
modes in the linear regime in the conventional PC and by increasing the intensity of
electromagnetic field to higher value, the surface modes are emerged. To confirm our
achievements, we also compared

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