Analysis of photonic crystal filters by the finite-difference time-domain technique

Wu, Bae‐Ian; Yang, E.; Kong, Jin Au; Oswald, J. A.; McIntosh, K. A.; Mahoney, L.J.; Verghese, S.

doi:10.1002/1098-2760(20001020)27:2<81::aid-mop2>3.0.co;2-s

Cited by 6 publications

(3 citation statements)

References 14 publications

(28 reference statements)

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“…By rolling into hollow fibers, the mirror can be used as inside walls of high-finesse waveguides and microcavities [22][23][24][25]. They can also be used in coating design, narrow band filters, laser measurements, optical sensors for high precession detection, laser beam security, photovoltaic applications and so on [26][27][28][29][30][31][32][33][34][35][36][37][38][39].…”

Section: Criterion Of Omnidirectional Reflection In One Dimensional Pmentioning

confidence: 99%

Structural Parameters in the Formation of Omnidirectional High Reflectors

Singh¹,

Pandey²,

Thapa³

et al. 2007

PIER

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Abstract-We investigate the structural parameters for the formation of omnidirectional photonic band gap in one dimensional photonic crystal. Simple transfer matrix method is used for calculations. The effect of two parameters, namely, refractive index contrast and filling fraction on omnidirectional reflection is investigated. We find from our study that when n L , n i , n s and d are fixed, omnidirectional bandgap increases with increasing n H /n L i.e., with increasing n H . Therefore, omnidirectional bandgap can be increased by using the material of high refractive index n H when the low index material n L is fixed. We also find that for the considered system of Si-SiO 2 , omnidirectional reflection range increases with filling fraction, goes to a maximum value and finally comes to zero. The maximum value of the omnidirectional reflection range is obtained at a value of 0.29 of the filling fraction. The range for allowable values of refractive index of ambient medium (n i ) has also been estimated.

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Section: Criterion Of Omnidirectional Reflection In One Dimensional Pmentioning

confidence: 99%

Structural Parameters in the Formation of Omnidirectional High Reflectors

Singh¹,

Pandey²,

Thapa³

et al. 2007

PIER

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“…Figure 2 illustrates the transmission of the TE and TM polarizations versus the incidence angle at 600 nm wavelength. The results presented here were obtained in the angle incidence interval such as 0 θ 70 • in accordance with the computing and stability criterion [6,8,13]. Let us note that for θ>70 • , the time step decreases so much that the computing time becomes very huge.…”

Section: Numerical Results: Validation and Applicationmentioning

confidence: 60%

Implementation of the critical points model in a SFM-FDTD code working in oblique incidence

Hamidi¹,

Baida²,

Belkhir³

et al. 2011

J. Phys. D: Appl. Phys.

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“…SF-FDTD method has the advantage of wideband analysis of periodic structures by considering only one unit cell. This method has been used for analyzing dielectric or lossy [1][2][3][4][5][6][7], anisotropic [8] and dispersive [9,10] periodic structures. We have recently reported an improved formulation of 3D SF-FDTD [11] for analyzing dispersive media.…”

Section: Introductionmentioning

confidence: 99%

Gpu Implementation of Split-Field Finite-Difference Time-Domain Method for Drude-Lorentz Dispersive Media

Shahmansouri¹,

Rashidian²

2012

PIER

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Abstract-Split-field finite-difference time-domain (SF-FDTD) method can overcome the limitation of ordinary FDTD in analyzing periodic structures under oblique incidence. On the other hand, huge run times of 3D SF-FDTD, is practically a major burden in its usage for analysis and design of nanostructures, particularly when having dispersive media. Here, details of parallel implementation of 3D SF-FDTD method for dispersive media, combined with totalfield/scattered-field (TF/SF) method for injecting oblique plane wave, are discussed. Graphics processing unit (GPU) has been used for this purpose, and very large speed up factors have been achieved. Also a previously reported formulation of SF-FDTD based on the Drude model for dispersive media, is extended to cover Drude-Lorentz model, which is usually needed for materials such as gold. The resulting reduction in the number of variables in this formulation, not only helps in reducing the computational time, but also makes it possible to be implemented in GPU, where its memory limitation is a major concern. As an example for demonstrating the importance of this method in optimization of nanophotonics structures, improvement in the performance of a refractive index sensor, made of an array of nanodisks, using suitable angle of incidence is reported. To the best of our knowledge this is the first report of GPU implementation of SF-FDTD method, capable of analyzing periodic dispersive media under oblique incidence.

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Analysis of photonic crystal filters by the finite-difference time-domain technique

Cited by 6 publications

References 14 publications

Structural Parameters in the Formation of Omnidirectional High Reflectors

Structural Parameters in the Formation of Omnidirectional High Reflectors

Implementation of the critical points model in a SFM-FDTD code working in oblique incidence

Gpu Implementation of Split-Field Finite-Difference Time-Domain Method for Drude-Lorentz Dispersive Media

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