Quadridirectional eigenmode expansion scheme for 2-D modeling of wave propagation in integrated optics

Hammer, Manfred

doi:10.1016/j.optcom.2004.02.064

Cited by 37 publications

(50 citation statements)

References 30 publications

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“…The scheme constitutes a vectorial extension of the scalar approach of Ref. [13] (quadridirectional eigenmode propagation, QUEP).…”

Section: Introductionmentioning

confidence: 99%

Oblique incidence of semi-guided waves on rectangular slab waveguide discontinuities: A vectorial QUEP solver

Hammer

2015

Optics Communications

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The incidence of thin-film-guided, in-plane unguided waves at oblique angles on straight discontinuities of dielectric slab waveguides, an early problem of integrated optics, is being reconsidered. The 3-D frequency domain Maxwell equations reduce to a parametrized inhomogeneous vectorial problem on a 2-D computational domain, with transparent-influx boundary conditions. We propose a rigorous vectorial solver based on simultaneous expansions into polarized local slab eigenmodes along the two orthogonal cross section coordinates (quadridirectional eigenmode propagation QUEP). The quasi-analytical scheme is applicable to configurations with -in principle -arbitrary cross section geometries. Examples for a high-contrast facet of an asymmetric slab waveguide, for the lateral excitation of a channel waveguide, and for a step discontinuity between slab waveguides of different thicknesses are discussed.

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“…The scheme constitutes a vectorial extension of the scalar approach of Ref. [13] (quadridirectional eigenmode propagation, QUEP).…”

Section: Introductionmentioning

confidence: 99%

Oblique incidence of semi-guided waves on rectangular slab waveguide discontinuities: A vectorial QUEP solver

Hammer

2015

Optics Communications

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“…The interaction length between the optical mode and the residual Si structures is on the order of 100 μm. Light coupling into the residual Si structures was calculated by a variational effective index method in combination with a quadridirectional eigenmode propagation solver [29,30]. For horizontal Al 2 O 3 channel misalignment of 0 μm, 0.25 μm, and 0.5 μm, losses into the Si of 70 dB/cm, 105 dB/cm, and 190 dB/cm, respectively, were calculated.…”

Section: Discussionmentioning

confidence: 99%

Monolithic integration of erbium-doped amplifiers with silicon-on-insulator waveguides

Agazzi¹,

Bradley²,

Dijkstra³

et al. 2010

Opt. Express

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Monolithic integration of Al 2 O 3 :Er 3+ amplifier technology with passive silicon-on-insulator waveguides is demonstrated. A signal enhancement of >7 dB at 1533 nm wavelength is obtained. The straightforward wafer-scale fabrication process, which includes reactive cosputtering and subsequent reactive ion etching, allows for parallel integration of multiple amplifier and laser sections with silicon or other photonic circuits on a chip.

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“…The numerical experiments of the following paragraphs rely on the quasianalytical scalar 2-D Helmholtz solver of [20,21]. Guided mode analysis of channels with 2-D cross sections, as required for the approach of Section 4, has been carried out with the quasianalytical technique of Ref.…”

Section: Examplesmentioning

confidence: 99%

Semi-guided plane wave reflection by thin-film transitions for angled incidence

2013

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The non-normal incidence of semi-guided plane waves on step-like or tapered transitions between thin film regions with different thicknesses, an early problem of integrated optics, is being reconsidered. As a step beyond the common effective index picture, we compare two approaches on how this problem can be tackled -at least approximately -by nowadays readily available simulation tools for integrated optics design. Accepting the scalar approximation, using an ansatz of harmonic field dependence on the position along the interface, the 3-D problem reduces to a 2-D Helmholtz problem, for guided wave input and transparent-influx boundary conditions, with an effective permittivity that depends on the incidence angle. Alternatively, one complements the structure with a second mirrored interface, such that the 2-D cross section of a wide multimode rib waveguide emerges. Constraints for transverse resonance then permit to translate the propagation constants of its polarized modes into discrete samples of the phase changes experienced by an in-plane guided wave upon total internal reflection at the sidewalls.

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Quadridirectional eigenmode expansion scheme for 2-D modeling of wave propagation in integrated optics

Cited by 37 publications

References 30 publications

Oblique incidence of semi-guided waves on rectangular slab waveguide discontinuities: A vectorial QUEP solver

Oblique incidence of semi-guided waves on rectangular slab waveguide discontinuities: A vectorial QUEP solver

Monolithic integration of erbium-doped amplifiers with silicon-on-insulator waveguides

Semi-guided plane wave reflection by thin-film transitions for angled incidence

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