Analysis of curved optical waveguides by conformal transformation

Heiblum, M.; Harris, J. H.

doi:10.1109/jqe.1975.1068563

Cited by 653 publications

(241 citation statements)

References 15 publications

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“…In order to obtain the matrix, any mode solver calculating the modal propagation constants can be used. The current implementation offers the choice of the effective index method (EIM), in combination with a conformal transformation for curved waveguides [3], and a two-dimensional (2-D) finite element method (FEM). As an example the result of a simulation of the radiation loss in a curved waveguide, as a function of the radius of curvature is shown in Fig.…”

Section: Description Of Optical Componentsmentioning

confidence: 99%

S-matrix oriented CAD-tool for simulating complex integrated optical circuits

Leijtens

Lourec

Smit

1996

IEEE J. Select. Topics Quantum Electron.

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Section: Description Of Optical Componentsmentioning

confidence: 99%

S-matrix oriented CAD-tool for simulating complex integrated optical circuits

Leijtens

Lourec

Smit

1996

IEEE J. Select. Topics Quantum Electron.

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“…Various methods have been developed to simulate field propagation in dielectric waveguides [5]. The beam propagation method (BPM) [5], in combination with conformal mapping [6], is well-suited to curved waveguides because it allows one to rapidly determine the modes of a structure, and then propagate them over large distances, while using relatively little computer memory. Both tasks may be done with the same software package.…”

Section: Introductionmentioning

confidence: 99%

Improved Bend Loss Formula Verified for Optical Fiber by Simulation and Experiment

Schermer

Cole

2007

IEEE J. Quantum Electron.

368

129

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Abstract-This paper presents an improved curvature loss formula for optical waveguides, which is shown to accurately predict the bend loss of both single-mode and multimode fibers. The formula expands upon a previous formula derived by Marcuse, greatly improving its accuracy for the case of multimode fiber. Also presented are the results of bent fiber simulations using the beam propagation method (BPM), and experimental measurements of bend loss. Agreement among simulation, formula and measurement support the validity of both theoretical methods. BPM simulations showed that the lowest order modes of the bent fiber were reduced to their linearly polarized constituents prior to the onset of significant bend loss. This implies that certain LP mode orientations should propagate with much lower loss than previously expected, and should impact the mode stripping ability of bent large mode area fibers, as employed in fiber lasers and amplifiers.Index Terms-Dielectric waveguides, laser amplifiers, optical fiber amplifiers, optical fiber lasers, optical waveguide theory, waveguide bends.

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“…Slabs with more general refractive index distributions were considered by Heiblum and Harris [7] and by Kawakami et al [8], using a WKB method [9]. These two papers consider the case when the mode on the curved waveguide is not a small perturbation of a mode on the straight guide, but was guided essentially by the outer boundary.…”

Section: Introductionmentioning

confidence: 99%

Wave Propagation in a Helical Waveguide With Slab and Rectangular Dielectric Profiles, and Applications

Menachem¹,

Tapuchi²

2011

PIER B

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Abstract-This paper presents a rigorous approach for the propagation of electromagnetic (EM) fields along a helical waveguide with slab and rectangular dielectric profiles in the rectangular cross section. The main objective is to develop a numerical method for the calculation of the output fields, for an arbitrary step's angle and the radius of the cylinder of the helical waveguide. The other objectives are to present the technique to calculate the dielectric profiles and their transverse derivatives in the cross-section and to demonstrate the ability of the model to solve practical problems with slab and rectangular dielectric profiles in the rectangular cross section of the helical waveguide. The method is based on Fourier coefficients of the transverse dielectric profile and those of the input wave profile. Laplace transform is necessary to obtain the comfortable and simple inputoutput connections of the fields. This model is useful for the analysis of helical waveguides with slab and rectangular dielectric profiles in the metallic helical waveguides in the microwave and the millimeterwave regimes. The output power transmission and the output power density are improved by increasing the step's angle or the radius of the cylinder of the helical waveguide, especially in the cases of space curved waveguides.

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Analysis of curved optical waveguides by conformal transformation

Cited by 653 publications

References 15 publications

S-matrix oriented CAD-tool for simulating complex integrated optical circuits

S-matrix oriented CAD-tool for simulating complex integrated optical circuits

Improved Bend Loss Formula Verified for Optical Fiber by Simulation and Experiment

Wave Propagation in a Helical Waveguide With Slab and Rectangular Dielectric Profiles, and Applications

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