Mixed finite element beam propagation method

Schulz, D.; Glingener, C.; Bludszuweit, M.; Voge, E.

doi:10.1109/50.701414

Cited by 50 publications

(26 citation statements)

References 21 publications

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“…(9) reveals, apart from the coupled nature of the transverse and longitudinal components, that the second-order z-derivatives are only associated with the transverse component. It has been verified (Schulz et al 1998;Ziogos and Kriezis 2008) that FE-BPM schemes based on this set of equations are numerically unstable. In order to amend this drawback, we adopt the longitudinal field transformation (Schulz et al 1998):…”

Section: Methods Implementation Detailsmentioning

confidence: 95%

Computational techniques for the analysis and design of dielectric-loaded plasmonic circuitry

et al. 2011

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The finite element and the beam propagation method, two widely used methods in photonics, are utilized for the analysis of plasmonic components based on the dielectricloaded plasmonic waveguide. Two components are chosen as examples and are subsequently numerically investigated by employing the aforementioned methods, in order to demonstrate their applicability in plasmonics. Specifically, a microring resonator add-drop filter and a Mach-Zehnder interferometric switch are analyzed by means of the finite element and the beam propagation method, respectively. The formulation adopted is clearly presented in both cases and the case-dependent implementation details are thoroughly discussed.Keywords Dielectric-loaded plasmonic waveguide · Plasmonic components · Thermo-optic effect · Finite element method · Beam propagation method

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Section: Methods Implementation Detailsmentioning

confidence: 95%

Computational techniques for the analysis and design of dielectric-loaded plasmonic circuitry

et al. 2011

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“…It is basic for direct methods like finite-difference time-domain (FDTD) method-one of the most accurate, universal, and "popular" numerical methods, which is widely used for analysis of electromagnetic wave propagation over waveguides with arbitrarily complicated configuration (e.g., [56][57][58][59][60][61][62], etc.). Also well-known direct rigorous methods are method of moments [58,62,63], finite-difference frequencydomain (FDFD) method [55,58,62], finite element method [55,58,62], wavelets [64][65][66] and their modifications, and combinations with elements of coupled mode theory [41][42][43][44][67][68][69][70][71][72][73].…”

Section: Brief Overview Of Methods For Simulation Of Pulse Propagatiomentioning

confidence: 99%

Modeling and Simulation of Piecewise Regular Multimode Fiber Links Operating in a Few-Mode Regime

Bourdine

2013

Advances in Optical Technologies

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This work presents 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. The proposed model is based on the piecewise regular representation. It takes into account launch conditions, differential mode delay, both lower-and higherorder mode chromatic dispersion, differential mode attenuation, and mode mixing and power diffusion occurring due to real fiber irregularity and micro-and macrobends. We present some results of introduced model approbation with following pulse propagation simulations. A close matching with measured pulse responses at the output of test fibers is noticed.

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“…Significantly more effort was required to upgrade the code to using a vector solver. We eventually settled on a solver based on the work of Shultz [10] (which provided a finite element based monochromatic vector beam propagation code) and Feng [11] (which converted the solver from a monochromatic beam propagation code to a narrow bandwidth beam propagation code). Although the Feng method of extending the bandwidth of the simulation was more accurate than the method we were using previously, it placed restrictions on the parallelization of the code.…”

Section: Quench3d Vectorial Photonic Design Researchmentioning

confidence: 99%

3D Vectorial Time Domain Computational Integrated Photonics

Kallman¹,

Bond²,

Koning³

et al. 2007

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Introduction/BackgroundThe design of integrated photonic structures poses considerable challenges. 3D-TimeDomain design tools are fundamental in enabling technologies such as all-optical logic, photonic bandgap sensors, THz imaging, and fast radiation diagnostics.Such technologies are essential to LLNL and WFO sponsors for a broad range of applications: encryption for communications and surveillance sensors (NSA, NAI and I-DIV/PAT); high density optical interconnects for high-performance computing (ASCI); high-bandwidth instrumentation for NIF diagnostics; micro-sensor development for weapon miniaturization within the Stockpile Stewardship and DNT programs; and applications within HSO for CBNP detection devices.While there exist a number of photonics simulation tools on the market, they primarily model devices of interest to the communications industry. We saw the need to extend our previous software to match the Laboratory's unique emerging needs. These include modeling novel material effects (such as those of radiation induced carrier concentrations on refractive index) and device configurations (RadTracker bulk optics with radiation induced details, Optical Logic edge emitting lasers with lateral optical inputs). In addition we foresaw significant advantages to expanding our own internal simulation codes: parallel supercomputing could be incorporated from the start, and the simulation source code would be accessible for modification and extension.This work addressed Engineering's Simulation Technology Focus Area, specifically photonics. Problems addressed from the Engineering roadmap of the time included modeling the Auston switch (an important THz source/receiver), modeling Vertical Cavity Surface Emitting Lasers (VCSELs, which had been envisioned as part of fast radiation sensors), and multi-scale modeling of optical systems (for a variety of applications).We proposed to develop novel techniques to numerically solve the 3D multi-scale propagation problem for both the microchip laser logic devices as well as devices characterized by electromagnetic (EM) propagation in nonlinear materials with timevarying parameters. The deliverables for this project were extended versions of the laser logic device code Quench2D and the EM propagation code EMsolve with new modules containing the novel solutions incorporated by taking advantage of the existing software interface and structured computational modules.Our approach was multi-faceted since no single methodology can always satisfy the tradeoff between model runtime and accuracy requirements. We divided the problems to be solved into two main categories: those that required Full Wave Methods and those that could be modeled using Approximate Methods. Full Wave techniques are useful in situations where Maxwell's equations are not separable (or the problem is small in space and time), while approximate techniques can treat many of the remaining cases.For both approaches we started by enhancing existing software. EMSolve began as a parallel finite-element time-domain (FE...

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Mixed finite element beam propagation method

Cited by 50 publications

References 21 publications

Computational techniques for the analysis and design of dielectric-loaded plasmonic circuitry

Computational techniques for the analysis and design of dielectric-loaded plasmonic circuitry

Modeling and Simulation of Piecewise Regular Multimode Fiber Links Operating in a Few-Mode Regime

3D Vectorial Time Domain Computational Integrated Photonics

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