FDTD to analyze complex PBG structures in the reciprocal space

Thévenot, Marc; Reineix, A.; Jecko, Bernard

doi:10.1002/(sici)1098-2760(19990405)21:1<25::aid-mop7>3.3.co;2-u

Cited by 4 publications

(4 citation statements)

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“…We adopt the finite-difference time-domain (FDTD) method, [20][21] together with the perfect matched boundary condition (PML), for the following simulation of the planar micro-cavity shown in Fig. 1.…”

Section: Physical Modelmentioning

confidence: 80%

A kind of planar photonic crystal micro-cavity

Ouyang

Meng

et al. 2005

Optoelectronic Materials and Devices for Optical Communications

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We propose a kind of planar photonic crystal micro-cavity which is truly two-dimensional and is composed of a line of periodic air-holes and a set of periodic air grooves both with defect. Unlike the photonic crystal micro-cavity formed by distributed Bragg reflection (DBR) layers and two dimensional holes in a semiconductor substrate, the micro-cavity proposed is a true two-dimensional planar structure that is easy for mass-production through die-press copying. Numerical simulations by the FDTD method show that there exist resonance modes inside the photonic bandgap. The resonance wavelength is mainly decided by the period and radius of the holes. The quality factor of the cavity is mainly decided by the number of periods of the holes and the grooves.

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Section: Physical Modelmentioning

confidence: 80%

A kind of planar photonic crystal micro-cavity

Ouyang

Meng

et al. 2005

Optoelectronic Materials and Devices for Optical Communications

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“…A commercial Finite Element Method (FEM) package, with the release of ANSOFT HFSS 7 and its associated OPTIMETRICS Engine, was used to achieve a parametrical study of a metallic PBG structure with continuous or discontinuous wires in the X-Band (8)(9)(10)(11)(12).…”

Section: Resultsmentioning

confidence: 99%

“…The method based on the FDTD and the Fourier transform is described. This method has been already applied with success to the dielectric PBG materials [12] where the propagation wave vectors of the infinite structure are compared with these of the finite structure. So, we only present results obtained with the metallic PBG materials.…”

Section: Introductionmentioning

confidence: 99%

Numerical Studies of Metallic PBG Structures

Tarot¹,

Collardey²,

Mahdjoubi³

2003

PIER

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Abstract-Photonic Bandgap (PBG) materials have been investigated for their versatility in controlling the propagation of electromagnetic waves [1,2]. In order to determine PBG structures responses, several analytical or numerical methods are used, such as:• The plane wave method applied to solve Maxwell's equations [3].• The transfer matrix method, based on the wire grating impedance developed by N. Marcuvitz [4].• The Finite Element Method (FEM) exhibits, e.g., the frequency response of reflection and transmission coefficients of the PBG materials when they have infinite surfaces and are excited by plane wave. The FEM method can be also used in the case of finite structure fed by a dipole.• The Finite Difference Time Domain method (FDTD). This method solves the discretized Maxwell's equations in the time domain and evaluates the electromagnetic field components. These EM fields are then obtained in the frequency domain thanks to a Fourier Transform. First of all, we present a parametrical study using a 3D Finite Element method software. This study allows to estimate the role of any parameters on the reflection and transmission coefficients and then to design a PBG structure in the X-band (8-12 GHz). Continuous and discontinuous structures are presented.Then, we present a numerical analysis of PBG structures, using the FDTD method in order to understand the propagation phenomena in these periodic materials.

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“…Recently, FDTD has become a main method in the computation of dispersion curves and propagation characteristics of 2D and 3D PBG structure in an isotropic medium. Furthermore, the authors also derived the FDTD formulation for the homogeneous complex (bi-anisotropic) medium and its degenerated cases [7]; however, this presents difficult challenges in programming and calculation.…”

Section: Introductionmentioning

confidence: 99%

A new FDTD scheme analysis for the characteristics of the magnetic-anisotropic EBG structure

Bao

Sun

2005

Int J RF and Microwave Comp Aid Eng

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In this article, the new grid finite-difference time-domain (NG-FDTD) method is applied to calculate the dispersion curves of electromagnetic band-gap structures, and the dispersion characteristics of three magnetic-anisotropic medium EBG structure are obtained using the NG-FDTD method. According to these results, we can conclude that the EBG structure of a magnetic-anisotropic medium, in which the permeability of nondiagonal elements is real, has a much larger band-stop than that of isotropic EBG. Other magneticanisotropic EBG structures can also increase the first band-stop.

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FDTD to analyze complex PBG structures in the reciprocal space

Cited by 4 publications

References 0 publications

A kind of planar photonic crystal micro-cavity

A kind of planar photonic crystal micro-cavity

Numerical Studies of Metallic PBG Structures

A new FDTD scheme analysis for the characteristics of the magnetic-anisotropic EBG structure

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