Synthesis of guided wave optical interconnects

Mills, Duncan W.; Tamil, Lakshman S.

doi:10.1109/3.248942

Cited by 5 publications

(2 citation statements)

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“…As far as we know, the Darboux transformation (or the related supersymmetry (SUSY) optics theory), when applied to the equations of EM-wave propagation in heterogeneous media, has always been implemented in the physical-coordinate space (see e.g. [24], [27]- [32]). The main reason is that in the  z space, the electric-field in non-magnetic materials and TE-mode can be easily expressed in the form of a time-independent Schrödinger equation (after an intermediate step featuring a Helmholtz equation -refer to eq.…”

Section:  mentioning

confidence: 99%

“…Basically, these methods allow building families of progressively more complex (solvable) potential-functions in the Schrödinger equation, along with the corresponding wave-function solutions, starting from a simple (possibly trivial) solvable potential. The DT was implemented for synthetizing passive optical waveguides and interconnects [27] and for designing active waveguides with individually tailored modal gain [28]. It was also recently applied to the synthesis of Bragg filters with a given number of resonances at desired frequencies [24].…”

Section: Introductionmentioning

confidence: 99%

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Sequences of exact analytical solutions for plane waves in graded media

Krapez

2017

Journal of Modern Optics

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We present a new method for building sequences of solvable profiles of the electromagnetic (EM) admittance in lossless isotropic materials with 1D graded permittivity and permeability (in particular profiles of the optical refractive-index). These solvable profiles lead to analytical closed-form expressions of the EM fields, for both TE and TM modes. The Property-and-Field Darboux Transformations method, initially developed for heat diffusion modelling, is here transposed to the Maxwell equations in the optical-depth space. Several examples are provided, all stemming from a constant seed-potential, which makes them based on elementary functions only. Solvable profiles of increasingly complex shape can be obtained by iterating the process or by assembling highly flexible canonical profiles. Their implementation for modelling optical devices like matching layers, rugate filters, Bragg gratings, chirped mirrors or 1D photonic crystals, offers an exact and cost-effective alternative to the classical approaches.

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Section:  mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%