Asymptotic Iteration Method: A Powerful Approach for Analysis of Inhomogeneous Dielectric Slab Waveguides

Rostami, Ali; Motavali, Hossein

doi:10.2528/pierb08011701

Cited by 31 publications

(22 citation statements)

References 34 publications

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“…The propagation characteristics in the waveguides can be analyzed by various computational methods [27][28][29], e.g., the finite-difference time-domain (FDTD) method [30,31] and the beam propagation method (BPM) [32]. In this paper, the single-mode condition for the waveguides at a specific wavelength of 1550 nm is numerically analyzed by using the semi-vectorial BPM.…”

Section: Resultsmentioning

confidence: 99%

Optimal Design of a Silicon-on-Insulator Nanowire Waveguide for Broadband Wavelength Conversion

Zhang¹,

Gao²,

He³

2009

PIER

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Abstract-The broadband wavelength conversion based on four-wave mixing in a silicon nanowire waveguide is theoretically investigated by taking into account the influence of the waveguide loss and free-carrier absorption on the phase-matched condition. The lossy wavelength conversion is compared with the lossless one in terms of conversion efficiency and bandwidth. The size of the silicon-oninsulator nanowire waveguide is optimized to be 400 nm × 269 nm for broadband wavelength conversion by realizing a flattened dispersion. The pump wavelength is also optimized to 1538.7 nm in order to further enhance the conversion bandwidth. A 3-dB conversion bandwidth of over 280 nm is achieved in the optimized waveguide with the optimized pump wavelength.

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Section: Resultsmentioning

confidence: 99%

Optimal Design of a Silicon-on-Insulator Nanowire Waveguide for Broadband Wavelength Conversion

Zhang¹,

Gao²,

He³

2009

PIER

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“…Recently, Husein et al give the approximate solution of wave propagation in transverse magnetic mode through a graded interface positive-negative for the case the hyperbolic cosecant and cotangent functions using AIM. [2][3][4][5][6][7][8][9][10][11][12][13] Various methods to solve of the second orde differential equation has been used by many researchers, such methods Nikiforov-Uvarov [14][15], the method Supersymmetry Quantum Mechanics (SUSY QM) [16], the method of polynomial Romanovski [17] and Asymptotic Iteration Methods (AIM) [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Wave Propagation Solution for Transverse Electric Mode in a Graded Interface between Left-Handed and Right-Handed Material

Pratiwi

Супармі²,

Cari³

2016

AEM

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Wave propagation for transverse electric (TE) mode in a graded interface between left-handed and right-handed material has been investigated by using asymptotic iteration method. By using hyperbolic functions for negative permittivity and negative permeability, we obtained the graded graphs of permittivity and permeability as a function of material thickness. Maxwell equation for the dielectric with the hyperbolic function in permittivity and permeability has been reduced to second orde differential equation. The second orde differential equation has been solved by using asymptotic iteration method with the eigen functions for the fields equation in polynomial Hermite. The eigen functions explained about the wave propagation in a graded interface of material. The distribution of the electric field and the wave vector were given in approximate solution.

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“…Analysis of dielectric slab waveguides have been carried out by various authors [12,15] by using techniques such as analytical continuity method [11].…”

Section: Introductionmentioning

confidence: 99%

Modal Solutions for Junction Parameters of Discontinuity Problems in Dielectric Rectangular Waveguides

Sharma¹,

Де²

2008

PIER

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Abstract-In this paper the discontinuity problems of the junction of two different dielectric rectangular waveguides has been studied, both for two dimensional (2D) and three dimensional (3D) cases. The technique used, is to obtain expressions for the z-directed complex power due to all modes (propagating and non propagating) present at the step junction for a normalized incident field. The expressions for junction parameters like admittance and susceptance have been derived for the structures with step junctions in x direction, in y direction and for the 3D case where the step is both x and y directed. The numerical results have then been computed for different step ratios of these three cases.

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Asymptotic Iteration Method: A Powerful Approach for Analysis of Inhomogeneous Dielectric Slab Waveguides

Cited by 31 publications

References 34 publications

Optimal Design of a Silicon-on-Insulator Nanowire Waveguide for Broadband Wavelength Conversion

Optimal Design of a Silicon-on-Insulator Nanowire Waveguide for Broadband Wavelength Conversion

Wave Propagation Solution for Transverse Electric Mode in a Graded Interface between Left-Handed and Right-Handed Material

Modal Solutions for Junction Parameters of Discontinuity Problems in Dielectric Rectangular Waveguides

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