Phase-matched rectangular magnetooptic waveguides for applications in integrated optics isolators: numerical assessment

Lohmeyer, M.; Bahlmann, N.; Zhuromskyy, O.; Dötsch, H.; Hertel, P.

doi:10.1016/s0030-4018(98)00527-6

Cited by 36 publications

(21 citation statements)

References 18 publications

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“…3, contrary to Faraday rotation in free space, which is equal to the product V·H·Z, in guided configuration, as only TE and TM modes can propagate, the Faraday effect leads to a TE-TM modal conversion according to the coupled mode theory [16]. The conversion magnitude is limited by the modal birefringence ΔN.…”

Section: ) Polarization Behaviormentioning

confidence: 99%

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Birefringence Measurements in Optical Waveguides

Jamon

Parsy

Ghibaudo

et al. 2013

J. Lightwave Technol.

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This paper deals with an experimental nondestructive technique for the measurement of modal birefringence of integrated optical waveguides. The method is based on a magnetooptical perturbation technique combined with a highly sensitive polarimeter. Magneto-optical modal conversion, through the Verdet constant of the waveguides, and its dependence on the perturbation length are discussed. In this paper, the practical application of this equipment is proposed for the measurement of modal birefringence in totally or partially buried ion exchanged waveguides.

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Section: ) Polarization Behaviormentioning

confidence: 99%

“…The conversion magnitude is limited by the modal birefringence ΔN. The efficiency R of this conversion can be expressed as a function of the magneto-optical interaction length Z I [16]:…”

Section: ) Polarization Behaviormentioning

confidence: 99%

Birefringence Measurements in Optical Waveguides

Jamon

Parsy

Ghibaudo

et al. 2013

J. Lightwave Technol.

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“…where (17) As in the case of the first interface, this equation can be written in a contracted form as (18) The introduction of (14) in (18) allows the relation of the modes of the first and third media: (19) In this equation, the matrices represent the coupling of the modes of the second waveguide into the mode of the third guiding medium, and stands for the propagation of the mode along the distance of the second waveguide. The nonreciprocity of the media is taken into account within , since the propagation constants for the forward-and backwardtraveling modes are, in general, different ( ).…”

Section: Orthogonality Relation and Modal Expansionmentioning

confidence: 99%

Matrix Analysis of Discontinuities in Nonreciprocal Waveguides: Analytical Description for Magnetooptical Slab Waveguides

Sepúlveda¹,

Lechuga²

2004

J. Lightwave Technol.

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A new analytical formalism to study the effect of discontinuities in a nonreciprocal waveguide has been developed. The analysis is based on 1) the general orthogonality relation obtained from the reciprocity theorem, 2) the modal expansion of the transverse electromagnetic fields within the waveguide, and 3) the continuity of the tangential components of such electromagnetic fields at both sides of the discontinuity. The formalism is presented in a matrix form, which allows the treatment of several discontinuities as a simple summation and product of coupling and propagation matrices. The matrix formalism is developed for magnetooptic waveguides in the three different orientations of the magnetization, and, within this context, two practical applications of magnetooptic isolators are studied.Index Terms-Isolators, magnetooptic waveguides, matrix analysis of discontinuities, nonreciprocal waveguides.

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“…There are fewer instances where non-parametric CMT formalisms have been actually applied in full 3D. Among these are the examples of [8] (codirectional CMT, low-contrast waveguides), [9][10][11] (codirectional CMT, higher contrast and anisotropic waveguides), [12,13] (interaction between optical fibers and photonic crystal waveguides), and [14] (interaction between straight and bent channels, ring resonator models).…”

Section: Introductionmentioning

confidence: 99%

Hybrid coupled-mode modeling in 3D: perturbed and coupled channels, and waveguide crossings

2017

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The 3D implementation of a hybrid analytical/numerical variant of the coupled-mode theory is discussed. Eigenmodes of the constituting dielectric channels are computed numerically. The frequency-domain coupled-mode models then combine these into fully vectorial approximations for the optical electromagnetic fields of the composite structure. Following a discretization of amplitude functions by 1D finite elements, procedures from the realm of finite-element numerics are applied to establish systems of linear equations for the thendiscrete modal amplitudes. Examples substantiate the functioning of the technique and allow for some numerical assessment. The full 3D simulations are highly efficient in memory consumption, moderately demanding in computational time, and, in regimes of low radiative losses, sufficiently accurate for practical design. Our results include the perturbation of guided modes by changes of the refractive indices, the interaction of waves in parallel, horizontally or vertically coupled straight waveguides, and a series of crossings of potentially overlapping channels with fairly arbitrary relative positions and orientations.

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Phase-matched rectangular magnetooptic waveguides for applications in integrated optics isolators: numerical assessment

Cited by 36 publications

References 18 publications

Birefringence Measurements in Optical Waveguides

Birefringence Measurements in Optical Waveguides

Matrix Analysis of Discontinuities in Nonreciprocal Waveguides: Analytical Description for Magnetooptical Slab Waveguides

Hybrid coupled-mode modeling in 3D: perturbed and coupled channels, and waveguide crossings

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