Improving the accuracy of normalized propagation constant for waveguides by using higher-order variational method

Popescu, V. A.

doi:10.1016/j.optcom.2004.02.023

Cited by 9 publications

(9 citation statements)

References 8 publications

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“…The maximum refractive index of the core is denoted as and that in the cladding as . The wave equation correspond to HE 11 mode is given, by with as [12][13][14] ( ) ( ) where denotes electric field. The boundary condition is given by the continuity for and at .…”

Section: Finite Element Methods Analysis Of Optical Fibersmentioning

confidence: 99%

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Modeling of single mode optical fiber having a complicated refractive index profile by using modified scalar finite element method

Raghuwanshi

Rahman

2016

Opt Quant Electron

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Section: Finite Element Methods Analysis Of Optical Fibersmentioning

confidence: 99%

“…Since in our FEM formulation we are dealing with a single mode fiber with degenerate mode (HE 11 mode having same polarization state in principal), hence the error generated by scalar FEM while compared to vectorial FEM is negligible [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Modeling of single mode optical fiber having a complicated refractive index profile by using modified scalar finite element method

Raghuwanshi

Rahman

2016

Opt Quant Electron

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“…These methods may be broadly classified into two categories: analytical approximation solutions [1][2][3][4][5] and numerical solution using computers [6][7][8][9][10]. Since optical waveguide having a complicated profile cannot be solved by analytical method, we choose it to be analyzed by Finite Element Method [11][12][13][14][15][16]. In the microwave band, electromagnetic fields are generally distributed within a finite area surrounded by conductors, as in waveguides and coaxial lines.…”

Section: Introductionmentioning

confidence: 99%

Propagation and Characterization of Novel Graded and Linearly Chirped Type's of Refractive Index Profile Symmetric Planar Slab Waveguide by Numerical Means

Rahman¹

2015

PIER B

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Abstract-We characterize the alpha power and chirped types of refractive index profile planar slab waveguide in terms of TE/TM mode study, waveguide dispersion study, mode profile properties, power confinement factor and universal b-V graph. Our own developed finite element method has been efficiently applied to analyze the symmetric planar slab waveguide having a complicated refractive index profile. There is a requirement for a high accuracy of numerical technique to analyze the arbitrary refractive index waveguide, as at some frequency the TE and TM modes are smeared on each other, and it is difficult to distinguish them while analyzing. This paper successfully demonstrates the different TE/TM modes supported by the waveguide with respect to alpha-power and linearly chirped types of refractive index profile. The main contribution of our work is to identify the TE/TM mode numerically for a complex refractive index planar slab waveguide and to characterize them in terms of their performance parameters. Then we apply the mode propagation concept to estimate the propagation phenomena in alpha-power and chirped types of refractive index profile waveguide. All the results presented in this paper are simulated in MATLAB only. Our study reveals that waveguide dispersion and number of allowed guided modes are small while for the case of triangular index profile followed by chirped profile and maximum for step index profile case. Hence triangular and chirped types of refractive index profile waveguide seem to be more efficient for long haul optical communication systems.

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“…For planar graded profiles and for channel waveguides only approximate or numerical solutions are available. Several papers, using different approaches and different degrees of approximations, have been concerned with the modal analysis of planar and channel waveguides [1][2][3][4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

“…Among the various analysis methods, the one based on the variational expression for the propagation constant, is the most accurate and simple [2,[4][5][6][7]. The method requires to choose a trial function for describing the modal field and to impose stationarity of the propagation constant with respect to the parameters defining the trial field.…”

Section: Introductionmentioning

confidence: 99%

Numerical Analysis of Optical Waveguides

Chiadini

Panariello

Scaglione

2005

2005 18th International Conference on Applied Electromagnetics and Communications

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A numerical procedure for calculating both the propagation constant and the field of modes of planar or channel waveguides with arbitrary refractive index profile is described. The procedure is based on the wellknown variational expression for the propagation constant and uses as trial field an expansion in terms of Hermite-Gauss functions. The field parameters, i.e. the expansion coefficients and the spot-size of the Gaussian functions, are evaluated by numerically solving two generalized eigenvalue problems and two nonlinear equations respectively. We analyze a step-index planar waveguide and a channel waveguide with refractive index profile described by an error function in the two normal directions of the cross section. Results show that our procedure is quickly convergent and accurate.

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Improving the accuracy of normalized propagation constant for waveguides by using higher-order variational method

Cited by 9 publications

References 8 publications

Modeling of single mode optical fiber having a complicated refractive index profile by using modified scalar finite element method

Modeling of single mode optical fiber having a complicated refractive index profile by using modified scalar finite element method

Propagation and Characterization of Novel Graded and Linearly Chirped Type's of Refractive Index Profile Symmetric Planar Slab Waveguide by Numerical Means

Numerical Analysis of Optical Waveguides

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