Biblio

The confinement of light in three dimensions (3D) is an active research topic in Nanophotonics, since it allows for ultimate control over photons [1]. A powerful tool to this end is a 3D photonic band gap crystal with a tailored defect that acts as a cavity or even a waveguide [2]. When a one-dimensional array of cavities is coupled, an intricate waveguiding system appears, known as a CROW (coupled resonator optical waveguide) [3]. Remarkably, 3D superlattices of coupled cavities that resonate inside a 3D band gap have not been studied to date. Recently, theoretical work has predicted the occurrence of "Cartesian light", wherein light propagates by hopping only in high symmetry directions in space [4]. This represents the optical analog of the Anderson model for spins or electrons that is relevant for neuromorphic computing and may lead to intricate lasing [5].

A new kind of Square Lattice Photonic Crystal Fiber (SLPCF) is proposed, the first ring is formed by elliptical holes filled with ethanol. To regulate the dispersion and the confinement loss we put a circular air-holes with small diameters into the third ring of the cladding area. The diameter of the core is arranged as d2=2*A-d, where A is the pitch and d diameter of the air-holes. After simulations, we got a dispersion low as 0.0494 (ps/Km. nm) and a confinement loss also low as 2.6×10-7(dB/m) at a wavelength of 1.55 $μ$m. At 0.8 $μ$m we obtained a nonlinearity high as 60.95 (1/km. w) and a strong guiding light. Also, we compare the filled ethanol elliptical holes with the air filled elliptical holes of our proposed square lattice photonic crystal fiber. We use as a simulation method in this manuscript the two-dimensional FDTD method. The utilization of the proposed fiber is in the telecommunication transmission because of its low dispersion and low loss at the c-band and in the nonlinear applications.