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Hybrid analytical/numerical coupled-mode modeling of guided wave devices
A. Melloni,Manfred Hammer +1 more
TLDR
In this paper, a general version of coupledmode theory for frequency-domain scattering problems in integrated optics is proposed, which typically combines modes of the optical channels in the structure with coefficient functions of in principle arbitrary coordinates.Abstract:
In this paper, a general version of coupled-mode theory for frequency-domain scattering problems in integrated optics is proposed. As a prerequisite, a physically reasonable field template is required, that typically combines modes of the optical channels in the structure with coefficient functions of in principle arbitrary coordinates. Upon 1D discretizations of these amplitude functions into finite elements, a Galerkin procedure reduces the problem to a system of linear equations in the element coefficients, where given input amplitudes are included. Smooth approximate solutions are obtained by solving the system in a least squares sense. The versatility of the approach is illustrated by means of a series of 2D examples, including a perpendicular crossing of waveguides, and a grating-assisted rectangular resonator. As an Appendix, we show that, alternatively, a similar procedure can be derived by variational means, i.e., by restricting a suitable functional representation of the full 2D/3D vectorial scattering problem (with transparent influx boundary conditions for inhomogeneous exterior) to the respective field templates.read more
Citations
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Designing multidirectional energy splitters and topological valley supernetworks
TL;DR: Using group theoretic and topological concepts, together with tunneling phenomena, the authors geometrically design interfacial wave networks that contain splitters which partition energy in two, three, four, or five directions.
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Effective index approximations of photonic crystal slabs: a 2-to-1-D assessment
Manfred Hammer,Olena V. Ivanova +1 more
TL;DR: In this paper, the optical properties of slab-like photonic crystals are discussed on the basis of effective index (EI) approximations, where a 2-D effective refractive index profile replaces the actual 3-D structure.
Scattering on plasmonic nanostructures arrays modeled with a surface integral formulation
TL;DR: In this paper, the general electromagnetic scattering problem is reduced to a discretizated model using the Method of Moments on the surface of the scatterers in the unit cell.
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Interaction of whispering gallery modes in integrated optical micro-ring or -disk circuits: Hybrid CMT model
TL;DR: In this paper, a nonparametric two-dimensional frequency domain hybrid coupled mode theory framework was proposed to study the response of a single ring and disk filter to a single-cavity photonic molecule in a reflector configuration.
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Modeling and Simulation of Piecewise Regular Multimode Fiber Links Operating in a Few-Mode Regime
TL;DR: In this article, an alternative model of multimode fiber links with conventional silica weakly-guiding graded-index irregular multimode fibers under a few-mode optical signal propagation generated by laser source is presented.
References
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Journal ArticleDOI
Coupled-mode theory for optical waveguides: an overview
TL;DR: In this paper, a review of the recent development of coupled-mode theory for optical waveguides is given, with emphasis on the analysis of coupled optical waveguide, and three typical coupler configurations (uniform, grating-assisted, and tapered) are examined in detail.
Book
Optical Waveguide Concepts
TL;DR: In this article, the weak guidance approximation of waveguides embedded in a low-index medium is described, where the waveguide can be interpreted as an anisotropic waveguide.
Journal ArticleDOI
A coupled mode formulation by reciprocity and a variational principle
TL;DR: In this paper, a coupled mode formulation for parallel dielectric waveguides is presented via two methods: a reciprocity theorem and a variational principle, which is shown analytically that the conventional theory violates both power conservation and reciprocity by as much as 55 percent and the Hardy-Streifer theory by 0.033 percent.
Journal ArticleDOI
Evanescent wave coupling of whispering gallery modes of a dielectric cylinder
D.R. Rowland,J.D. Love +1 more
TL;DR: In this article, the authors developed a direct correspondence between a whispering gallery mode of a dielectric cylinder and a mode of an equivalent waveguide ring resonator, and the evanescent wave coupling characteristics of such modes can be simply modelled.
Journal ArticleDOI
Quadridirectional eigenmode expansion scheme for 2-D modeling of wave propagation in integrated optics
TL;DR: In this paper, superpositions of two perpendicularly oriented bidirectional eigenmode propagation (BEP) fields, composed of basis modes that satisfy Dirichlet boundary conditions, can establish rigorous semianalytical solutions for problems of 2D fixed-frequency wave propagation on unbounded, cross-shaped domains.
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