FDTD method coupled with FFT: A generalization to open cylindrical devices

Navarro, A.; Nunez, M.J.

doi:10.1109/22.293538

Cited by 24 publications

(19 citation statements)

References 11 publications

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“…To demonstrate the accuracy of the proposed technique we analyzed a dielectric cylindrical puck of different heights H = 4.6mm and H = 3.45mm and radius R = 5.25mm placed in a radial waveguide of a distance between plates D = 4.6mm [4]. The mesh covering the problem was defined as large as 30 cells in the vertical direction, and 40 to 60 cells in the p direction.…”

Section: The Numerical Results and Efficiency Of The Algorithmmentioning

confidence: 99%

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Approximate analytical boundary conditions for efficient finite difference frequency domain simulations in cylindrical coordinates

Wiktor

Kowalczyk

Mrozowski

2006

2006 International Conference on Microwaves, Radar &Amp; Wireless Communications

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A simple technique of numerical analysis of open resonator is presented. The technique combines a standard Finite Difference method with the Partial Eigenfunction Expansion. By doing this one gets a simple formulation of radiation boundary condition. The algorithm was testedfor the dielectric resonator ofdifferent heightplaced in infinite radial waveguide and excellent agreement ofthe obtained results with other methods was achieved.

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Section: The Numerical Results and Efficiency Of The Algorithmmentioning

confidence: 99%

“…1. [4]. Since the field distributions in radial waveguide are known [5], we can utilize a known dispersion characteristic of this structure to construct our simplified ABC.…”

Section: Introductionmentioning

confidence: 99%

Approximate analytical boundary conditions for efficient finite difference frequency domain simulations in cylindrical coordinates

Wiktor

Kowalczyk

Mrozowski

2006

2006 International Conference on Microwaves, Radar &Amp; Wireless Communications

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“…Among them are radial and axial modematching methods [4,5], effective dielectric constant method (EDC) [6,7], finite-element method (FEM) [8], frequency and time domain finite difference methods [1,9,10], surface and volume integral equation techniques [11][12]. Though being of some interest for remote sensing and antenna applications, knowledge of the natural frequencies of isolated DRs is of little importance for the most practical microwave and optical applications, as most commonly the DRs are building blocks of complex structures, which include mechanisms for tuning and coupling to guiding or supporting surfaces.…”

Section: Introductionmentioning

confidence: 99%

Design and simulation tools for optical microresonators

et al. 2001

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Dielectric resonators promise high functionality components for future optoelectronic integrated circuit applications. Accurate modelling of these components is a prerequisite to their successful deployment in innovative configurations. This paper will compare and contrast a wide variety of simulation techniques, developed by ourselves, that can be used for design. These encompass, (1) full wave analytical integral equation methods which yield high accuracy and fast computation but are structure specific, (2) direct numerical simulation based upon high performance finite difference schemes which offer significant flexibility at the cost of computational overheads, (3) fast yet accurate semi-analytical approaches which can often provide sufficiently accurate results for the purposes of practical design at a fraction of the effort, in terms of both computational and pre-processing analysis as required by the former methods.The relative merits of the methods will be illustrated through their application to the design of practical components for a variety of systems. These will include examining the resonant frequencies, the quality factors and the field profiles of the lower order modes and the whispering gallery modes of dielectric resonators. Specific applications of interest are in the fields of filters, coupling elements and lasers.

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“…At this point each equation in (5) and (6) can be discretized by applying finite difference approximations to yield the updating equations for each field component. Starting with the first equation in (6), that is:…”

Section: The Fdtd Bor Techniquementioning

confidence: 99%