Finite element and perturbative study of buffered leaky planar waveguides

Uranus, H.P.; Hoekstra, H.J.W.M.; Groesen, E.W.C. van

doi:10.1016/j.optcom.2005.04.053

Cited by 2 publications

(1 citation statement)

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“…Different methods have been applied to determine the leaky modes of planar [36,41] as well as cylindric [35,39] waveguides involving isotropic and anisotropic dielectrics [42]. These techniques include numerical methods as modematching [43], finite differences and finite element [38,42,44], approximate methods as WKB [45], transfer matrix [41] and differential transfer matrix methods [40,46]. There is a conceptual discussion concerning leaky modes, the exponential growing in the transversal direction of these nearly guided modes make them appear as nonphysical solutions to the Helmholtz equation.…”

Section: Leaky Modes and Resonancesmentioning

confidence: 99%

Leaky Modes of Waveguides as a Classical Optics Analogy of Quantum Resonances

Cruz¹,

Rosas-Ortiz

2015

Advances in Mathematical Physics

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A classical optics waveguide structure is proposed to simulate resonances of short range one-dimensional potentials in quantum mechanics. The analogy is based on the well known resemblance between the guided and radiation modes of a waveguide with the bound and scattering states of a quantum well. As resonances are scattering states that spend some time in the zone of influence of the scatterer, we associate them with the leaky modes of a waveguide, the latter characterized by suffering attenuation in the direction of propagation but increasing exponentially in the transverse directions. The resemblance is complete since resonances (leaky modes) can be interpreted as bound states (guided modes) with definite lifetime (longitudinal shift). As an immediate application we calculate the leaky modes (resonances) associated with a dielectric homogeneous slab (square well potential) and show that these modes are attenuated as they propagate.

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Section: Leaky Modes and Resonancesmentioning

confidence: 99%

Leaky Modes of Waveguides as a Classical Optics Analogy of Quantum Resonances

Cruz¹,

Rosas-Ortiz

2015

Advances in Mathematical Physics

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MODELING AND DESIGN OF REALISTIC Si₃N₄-BASED INTEGRATED OPTICAL PROGRAMMABLE POWER SPLITTER

Uranus

Hoekstra

Stoffer

2010

J. Nonlinear Optic. Phys. Mat.

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Controllable splitting of optical power with a large splitting ratio range is often required in an integrated optical chip, e.g. for the readout of phase-shift in a slow-light sensor. In this work, we report the modeling and design of an integrated optical programmable power splitter consisting of a Y-junction with a programmable phase-shifter cascaded to a directional coupler. We used a vectorial mode solver, and a combination of a transfer matrix method with a 3D vectorial coupled-mode theory (CMT) to compute the power transfer ratio of a realistic device structure made of Si 3 N 4, TEOS, and SiO 2 grown on a Si substrate. In the simulations, waveguide attenuation values derived from the measured attenuation of a prefabricated test wafer, have been taken into account. Vectorial modal fields of individual waveguides, as computed by a mode solver, were used as the basis for the CMT computation. In the simulation, an operational wavelength around 632.8 nm was assumed. Our simulations reveal that maximum power splitting ratio can be achieved when the directional coupler is operated as a 3-dB coupler with the phase-shifter set to produce a 90° phase-shift. The required coupler length for such desired operating condition is highly-dependent on the gap size. On the other hand, the inclusion of the waveguide loss and the non-parallel section of the directional coupler into the model only slightly affect the results.

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Finite element and perturbative study of buffered leaky planar waveguides

Cited by 2 publications

References 10 publications

Leaky Modes of Waveguides as a Classical Optics Analogy of Quantum Resonances

Leaky Modes of Waveguides as a Classical Optics Analogy of Quantum Resonances

MODELING AND DESIGN OF REALISTIC Si₃N₄-BASED INTEGRATED OPTICAL PROGRAMMABLE POWER SPLITTER

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Finite element and perturbative study of buffered leaky planar waveguides

Cited by 2 publications

References 10 publications

Leaky Modes of Waveguides as a Classical Optics Analogy of Quantum Resonances

Leaky Modes of Waveguides as a Classical Optics Analogy of Quantum Resonances

MODELING AND DESIGN OF REALISTIC Si3N4-BASED INTEGRATED OPTICAL PROGRAMMABLE POWER SPLITTER

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MODELING AND DESIGN OF REALISTIC Si₃N₄-BASED INTEGRATED OPTICAL PROGRAMMABLE POWER SPLITTER