Beam propagation method modelling of optical filters based on tapered fibres

Paradisi, A.; Hernández-Figueroa, H.E.; Celaschi, Sergio; Brandao, M.L.; Jesus, Jose Tadeu de; Mercadante, M.

doi:10.1109/leos.1996.571536

Cited by 1 publication

(2 citation statements)

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“…This type of conical dielectric waveguides are also utilized in optical couplers [2], filters [3], and near field probes [4]. Obviously, tapered optical metallic waveguides can also be considered as a kind of conical dielectric waveguides.…”

Section: Introductionmentioning

confidence: 99%

“…Stepwise approximation [11,12], local coupled modes [13], and eikonal approximation [14] are among numerical methods of analysis in the cylindrical coordinate system while the other methods such as finite-difference time-domain (FDTD) [15,16], quasi-separation of variables approach [17,18], beam propagation method (BPM) [3], finite-difference beam propagation method [4] and finite-element method (FEM) [19] are proposed in the spherical coordinate system.…”

Section: Introductionmentioning

confidence: 99%

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Modal Analysis of Multilayer Conical Dielectric Waveguides for Azimuthal Invariant Modes

Amin¹,

Mirhoseini²,

Shahabadi³

2010

PIER

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Abstract-By using field expansion in terms of the Legendre polynomials and Schelkunoff functions, Maxwell's equations in the spherical coordinate system are cast into a matrix form which lends itself to the analysis of a multilayer conical waveguide. The matrix formulation is then used to obtain an eigen-value problem whose eigen-values are the allowable wave-numbers for propagation in the radial direction. To verify the proposed numerical approach, it is used to evaluate the resonance frequency of a partially filled spherical resonator. The computed resonance frequencies are then compared with those obtained using commercial software based on the finiteelement method. The computation time is enormously reduced using the semi-analytical method of this work. Although results are shown for lossless isotropic dielectrics, the method is also applicable to conical waveguides made of lossy dielectrics even with negative permittivity.

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Section: Introductionmentioning

confidence: 99%