Study and Conception of Dielectric Prohibited Band-Gap Structures by the FWCIP Method (original) (raw)
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A Novel Design of Photonic Band Gap by W.C.I.P. Method
Laboratoire de physique de la matière molle, Unité de recherche : Circuits et systèmes électroniques HF Faculté des Sciences de Tunis, Campus Universitaire Tunis EL-manar, 2092, Tunisie -Abstract-The study of the photonic one-dimensional structures gaps was approached by several methods of analysis such as the FDTD, the method of the flat waves. Our innovation in this study consists in using the iterative method based on the concept of wave FWCIP which establishes a relation of recurrence between the waves incidents and the waves reflected to see the electromagnetic behaviour of the dielectric one-dimensional structures And by calculating the coefficient of transmission and reflection, a comparison will be made at the level of these two coefficients with those found by means of the method of the FDTD.
A novel design of photonic band gap by F.W.C.I.P method
2008
The study of the photonic one-dimensional structures gaps was approached by several methods of analysis such as the FDTD, the method of the flat waves. Our innovation in this study consists in using the iterative method based on the concept of wave FWCIP which establishes a relation of recurrence between the waves incidents and the waves reflected to see the electromagnetic behaviour of the dielectric one-dimensional structures And by calculating the coefficient of transmission and reflection, a comparison will be made at the level of these two coefficients with those found by means of the method of the FDTD.
Analysis of photonic band gap structure for the design of photonic devices
Comptes Rendus Physique, 2004
A detailed analysis, based on Kronig-Penney model and finite-difference time-domain (FDTD) method, is used to explain the air-filling factor effect on the optical properties of defect-free photonic crystals. By the use of the Kronig-Penney model, we calculated the photonic band structure for electromagnetic waves in a structure consisting of a periodic square array of dielectric rods of lattice constant a separated by air holes. Gaps in the resulting band structures are found for waves of both polarisations. We analysed the air-filling factor effect on both polarisations in low and high frequency regions. It is shown that the frequency of the lower TE (transverse-electric) band edge is independent of the air-filling factor in the low frequency region. The opposite behaviour holds for the upper band edge, growing rapidly with the air-filling factor. Using the FDTD we simulated the electric field as the pulse propagates through the structure. The results of both approaches are compared, and the operation characteristics of the measuring air-filling factor device are described. We investigate the optical properties of a single and two defects incorporated in the PC, which can be potentially applied to ultra small surface-emitting-type channel drop filter. It is shown that the frequency and polarisation of the dropped light can be controlled by changing the size and/or shape of the defect. The electric field distribution calculations show that the electric field for a given frequency is located only at the defect, which means that each defect can detect only its corresponding wavelength. To cite this article: F.
Accurate theoretical analysis of photonic band-gap materials
Physical Review B, 1993
Two improvements for the solution of Maxwell s equations in periodic dielectric media are introduced, abandoning the plane-wave cutoff and interpolating the dielectric function. These improvements permit the accurate study of previously inaccessible systems. Example calculations are discussed, employing a basis of-10 plane waves for which these two improvements reduce both the memory and central processing unit requirements by-10 .
Design equations of two-dimensional dielectric photonic band gap structures
Progress In Electromagnetics …, 2007
This paper presents simple formulas for designing different configurations of two-dimensional photonic band gap (PBG) structures. These formulas are obtained by interpolating full wave analysis based on the plane wave expansion method. The design parameters of these formulas include the physical dimensions of the unit cell and the electrical properties of both host and inclusion in the structure. These formulas represent an efficient and fast method to obtain the band gap and the center frequency of different PBG structures.
Band Diagram Analysis of Frequency-Dependent Photonic BandGap Structures Using FDFD Method
2011
Recently, photonic band-gap (PBG) structures are under intense research due to their various applications in optics, microwave, and antenna engineering. Therefore, the accurate modelling of band diagram of frequency-dependent PBG structures is highly needed because the electric properties of all of the materials depend on frequency. In this paper, a new finite-difference frequency-domain (FDFD) algorithm is derived to calculate the propagation modes in frequencydependent PBG structures. For validity of this method, the results are compared with the finitedifference time-domain (FDTD) method.
- As (1) above, but E-mail: desario@poliba.it (3) As (1) above, but E-mail: mescia@deemail.poliba.it (4) As (1) above, but E-mail: petruzzelli@poliba.it (5) As (1) above, but E-mail: prudenzano@poliba.it ABSTRACT The Bidirectional Beam Propagation Method based on the Method of Lines is proposed as an innovative and efficient algorithm to investigate the optical properties of photonic band gap (PBG) structures. The algorithm results are validated by comparison with the analytical ones obtained via the transfer matrix method. Passive, lossy and active PBG structures can be investigated. Moreover, in order to optimize the waveguiding effect, we consider one of the two layers constituting the periodic structure made of a three-layered waveguide having refractive index variable along the transverse direction, thus obtaining better confining performance.
2009
− Microstrip elements are modeled in multilayered contribution. An iterative method based on the concept of waves is developed in a form useful for efficient computation for interacting microstrip elements, which may be located at any substrate layer and separated by a large distance. The multilayer contribution of iterative method is developed in the spatial domain. Examples for regularly shaped geometries in multilayered media are presented. These involve the optimization of a microstrip ring with a narrow gap which induces multiple reflections with a fixed phase correlation necessary to make the photonic band gap. The analysis takes into account eventual coupling parasites. Experimental measurements are performed to validate the computation. The approach involves the mixed magnetic and electric field equation technique and the wave concept iterative process which involves S-parameters extraction technique. In this sense, a program in FORTRAN has been elaborated to determine diffe...
An efficient finite-element method for the analysis of photonic band-gap materials
1999
An efficient finite-element method (FEM) is presented in this paper to calculate the bandgap information of photonic bandgap (PBG) Materials. A uniaxial anisotropic absorber is used to enclose the computational domain of the finite-element method. The presented method is very efficient in the bandgap calculation, which is essential for the design of various practical applications using PBG materials.
Photonic band structure and defects in one and two dimensions
Journal of the Optical Society of America B, 1993
We present an experimental and numerical study of electromagnetic wave propagation in one-dimensional (D) and two-dimensional (2D) systems composed of periodic arrays of dielectric scatterers. We demonstrate that there are regions of frequency for which the waves are exponentially attenuated for all propagation directions. These regions correspond to band gaps in the calculated band structure, and such systems are termed photonic band-gap (PBG) structures. Removal of a single scatterer from a PBG structure produces a highly localized defect mode, for which the energy density decays exponentially away from the defect origin. Energy-density measurements of defect modes are presented. The experiments were conducted at 6-20 GHz, but we suggest that they may be scaled to infrared frequencies. Analytic and numerical solutions for the band structure and the defect states in D structures are derived. Applications of 2D PBG structures are briefly discussed.