Modal Analysis and Dispersion Curves of a New Unconventional Bragg Waveguide Using a Very Simple Method

Singh, Vivek; Prajapati, Yogendra Kumar; Saini, J. P.

doi:10.2528/pier06071101

Cited by 25 publications

(27 citation statements)

References 19 publications

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“…Since we assume that only the core mode is incident into the FBGs, there are no powers of cladding modes in the input end of FBGs. Therefore, the coupling among cladding modes are extremely small and is neglected in the coupled mode equations of Equations (5) and (6). In addition, the co-directional coupling between the core mode and cladding modes are also neglected due to the short period of the grating.…”

Section: The Coupled Mode Theorymentioning

confidence: 99%

“…Erdogan presented the optical properties of fiber Bragg gratings, such as the reflection and dispersion characteristics [1,2]. Singh et al developed a simple matrix method to solve a standard Bragg fiber and an unconventional Bragg waveguide [6]. Recently, we presented the numerical approach of the coupled mode theory (CMT) for solving uniform FBGs from a new prospective [7].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A New Look at Numerical Analysis of Uniform Fiber Bragg Gratings Using Coupled Mode Theory

Liau¹,

Sun²,

Lin³

et al. 2009

PIER

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Abstract-The coupled mode theory (CMT) is used to analyze uniform Fiber Bragg gratings. The multi-mode CMT is expressed as the first-order vector ordinary differential equations (ODEs) with coefficients depending on the propagation distance. We show in this paper that by changing variables, the original couple mode equations (CMEs) can be re-casted as constant coefficient ODEs. The eigenvalue and eigenvector technique (EVVT), the analytic method for solving constant coefficient ODEs, is then applied to solve the coupled mode equations. Furthermore, we also investigate the application of RungeKutta method (RKM) to the calculation of the global transfer-function matrix for CMEs. We compare the transmission and the reflection

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Section: The Coupled Mode Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A New Look at Numerical Analysis of Uniform Fiber Bragg Gratings Using Coupled Mode Theory

Liau¹,

Sun²,

Lin³

et al. 2009

PIER

View full text Add to dashboard Cite

show abstract

“…Also, there are different numerical methods for investigation of inhomogeneous media reported in [25][26][27][28][29][30][31][32]. In these papers different approaches were presented and studied in detail.…”

Section: Introductionmentioning

confidence: 99%

A New Mathematical Proposal for Generation of Shape Invariant Potentials and Optical Medium Using Supersymmetric Quantum Mechanics

Motavali¹,

Rostami²

2008

PIER C

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Abstract-A new mathematical method and proposal for generation of shape invariant potentials using supersymmetric quantum mechanics is introduced. For this purpose the potential term in the Schrödinger equation is expressed in terms of the super potential.The obtained equation transformed into well known ordinary second order differential equation. Using standard technique, the Nikiforov-Uvarov (NU) method the superpotential in the Schrödinger equation is expressed in terms of the parameters appeared in the NU-approach concluding to a nonlinear differential equation. By solving the obtained equation and using relation between superpotential and potential the shape invariant potentials are obtained. The proposed method is general and straightforward for introducing of the shape invariant potentials.

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“…For this purpose the AIM is used [11][12][13]. Different aspects of slab waveguide including isotropic and anisotropic cases were considered in [19][20][21][22][23][24][25]. In these papers modal analysis were considered.…”

Section: Introductionmentioning

confidence: 99%

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

Rostami¹,

Motavali²

2008

PIER B

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Abstract-In this paper a novel approach based on Asymptotic Iteration Method (AIM) is presented to solve analytically the light propagation through one-dimensional inhomogeneous slab waveguide. Practically implemented optical slab waveguides based on traditional techniques are usually inhomogeneous and numerical methods are used to obtain guided wave characteristics. In this work, we develop analytical method for modal analysis includes Eigen modes (electric and magnetic fields distribution) and Eigen values (guided wave vector) using AIM. The developed method is applied to some especial examples.

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Modal Analysis and Dispersion Curves of a New Unconventional Bragg Waveguide Using a Very Simple Method

Cited by 25 publications

References 19 publications

A New Look at Numerical Analysis of Uniform Fiber Bragg Gratings Using Coupled Mode Theory

A New Look at Numerical Analysis of Uniform Fiber Bragg Gratings Using Coupled Mode Theory

A New Mathematical Proposal for Generation of Shape Invariant Potentials and Optical Medium Using Supersymmetric Quantum Mechanics

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

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