Two dimensional finite differences temporal domain (2D-FDTD) numerical simulations are performed in cartesian coordinate system to determine the dispersion diagrams of transverse electric (TE) of a two-dimension photonic crystal (PC) with triangular lattice. The aim of this work is to design a filter with maximum spectral response close to the frequency 1.55 μm. To achieve this frequency, selective filters PC are formed by combination of three waveguides W 1 K A wherein the air holes have of different normalized radii respectively r 1 /a=0.44, r 2 /a=0.288 and r 3 /a= 0.3292 (a: is the periodicity of the lattice with value 0.48 μm). Best response is obtained when we insert three small cylindrical cavities (with normalized radius of 0.17) between the two half-planes of photonic crystal strong lateral confinement. Keyword:2D photonic crystals 2D-FDTD Band filters Waveguide

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In this paper, we propose a new architecture of [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] optical filter/power splitters operating around 1.55[Formula: see text][Formula: see text]m, based on a CPs 2D photonic crystal ring resonator for Modern Passive Optical Network (PON). This type of functionality, filtering/power splitting is introduced in this work for the first-time according literature. The designed device consists of a square array of GaAs dielectric rods immersed in air. The structure is designed and successfully simulated by the finite element method using the software COMSOL Multiphysics. From the results obtained, we note that the beam is evenly distributed for all output ports with total efficient transmissions of about 99.6%, 98.8%, 97.1% and 96.8% and low insertion losses of about 0.017, 0.052, 0.128, and [Formula: see text]0.14[Formula: see text]dB for the [Formula: see text], [Formula: see text], [Formula: see text], and [Formula: see text] filter power splitter successively.

Abstract-In this letter, a novel 1.31μm narrow-band TE-Mode filter design has been proposed, based on a photonic band gap shift in a 2D photonic crystal slab with triangular lattice air holes, using the 2D-FDTD method to numerically model the proposed filter device. The structure is achieved by the association of three waveguides W1 K A coupled in a cascade arrangement within the same cell of a PC with a triangular lattice with a single removed full row. A modulated Gaussian pulse is used to provide wide-band excitation at any desired position inside the computational domain of the photonic crystal. The best filter configuration performances in terms of filtering and transmission is found for 60 inclusions with a maximum of transmission around 80% localized near 1.31μm , new more efficient and compact optoelectronic devices reproducing the operating principles of different components of an integrated circuit, using photons as information carriers instead of electrons. They also have applications in a medical imaging field [7], measurements in nano-crystal-based solar cells [8], as well as selective filters [9], which are a promising application of two dimensional PCs; this is the subject of the present work. The finite difference time domain (FDTD) method is regarded as a useful electromagnetic modeling tool because of its versatility [10]. The FDTD method is capable of handling inhomogeneous materials in two or three dimension forms. Since the data storage in a computer is limited by the size of memory, it is not possible to handle an open region problem directly. To mitigate this problem, the perfectly matched layer (PML) technique is widely used in the FDTD simulations; it exhibits accuracy level that is significantly better than most other absorbing boundary conditions (ABCs) [11]. This work is based on the design of devices for guiding and selective filtering PC, operating at a wavelength of 1.31μm, which corresponds to a normalized frequency a/λ * E-mail: elnbh@yahoo.fr = 0.366, where a represents the lattice constant. To achieve this goal, we adopted a specific methodology with consists in cascading several waveguides W 1 K A with different radii until the filter responds to our specifications. The nomenclature W n D A is given in [9,12]. The first considered structure consists of an array of air cylinders holes having a radius r, in a dielectric medium with a refractive index n eff = 3.24. This value corresponds to the effective refractive index in an InP/GaInAsP/InP heterostructure with a three-layer system [13][14]. These air rods are finitely arranged in the x and y directions and infinitely long in the z direction. In 2D dimensions, 13 parallel layers of holes are arranged in the y direction. This structure has the following parameters: a = 0.48μm, the filling factor f = 0.44 in order to obtain the suitable and desired normalized frequency a/λ = 0.366. Numerical simulations are performed for the TE polarization. We begin by implementing the spatially dispersive FDTD method in 2D simulations with a vi...