Free space radiation mode analysis of rectangular dielectric waveguides

Reed, M.; Benson, T.M.; Sewell, P.; Kendall, P.C.; Berry, G.; Dewar, S. V.

doi:10.1007/bf00347647

Cited by 12 publications

(8 citation statements)

References 11 publications

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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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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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“…2 to give (12) (11) In (12), the upper limits for and are truncated from in (4b), to and respectively, which must be large enough to ensure convergence. The matrices in (12) are defined to be (13) (14) (15a)…”

Section: Radiation-mode Fourier Decomposition Methodsmentioning

confidence: 99%

Section: Radiation-mode Fourier Decomposition Methodsmentioning

confidence: 99%

“…Equation (12) contains all of the necessary information to calculate the radiation modes. The known free-space field coefficients provide the unknown response coefficients by solving the system of linear equations (12). The radiationmode coefficients then simply follow from (8) and (11) giving (16) Once the spectrum coefficients are calculated, the Fourier series (4b) is used to calculate the radiation mode in the uv-domain.…”

Section: Radiation-mode Fourier Decomposition Methodsmentioning

confidence: 99%

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Radiation- and Bound-Mode Propagation in Rectangular, Multimode Dielectric, Channel Waveguides With Sidewall Roughness

Papakonstantinou

James

Selviah

2009

J. Lightwave Technol.

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Abstract-This paper calculates and displays accurate radiation modes for rectangular, multimode dielectric, channel waveguides, for the first time, and introduces the new semianalytical calculation method used to find them, the radiation-mode Fourier decomposition method (RFDM), which is an extension of the Fourier decomposition method (FDM) for finding bound propagating modes. The optimum choice of non-linear conformal transformation parameters is discussed for achieving highest accuracy. Once the radiation modes are known, the coupling coefficients can be found between the bound and radiation modes, as well as those between the bound modes themselves, andhence, the propagation loss can be found. The paper adapts Marcuse's coupled power theory, for the first time, to enable it to model propagation in rectangular, multimode dielectric, channel waveguides suffering from one dimensional sidewall roughness enabling the equilibrium distance to be calculated, at which rate of loss to radiation modes becomes constant, and to find that equilibrium propagation loss, and the dependence on the statistical properties of the wall roughness. This leads to the conclusion that at sufficient distance there exist two uncoupled modes, a symmetric and an asymmetric lowest order mode.

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“…Although there are several versatile numerical methods, such as Finite Differences (FD) and Finite Elements (FE), which are slraightforward to apply and can provide high accuracy, their relatively long run-times make them quite inefficient, either within an iterative design process or when the structure to be analysed has large dimensions as in the present case. In these situations accurate semi-analytical approaches such as the Spectral Index (SI) [5,6,7] or Free Space Radiation Mode methods [8,9,10] are often more suitable for design, rapidly yielding excellent results. The novel spectral method developed here for the analysis of the mode spot tapers described above, successfully combines the Spectral Index (SI) method [5], previously restricted to the analysis of single and coupled rib waveguides, and the Free Space Radiation Mode method (FSRM) [8], previously used for the analysis of low contrast buried waveguides.…”

Section: Introductionmentioning

confidence: 99%

Analysis of coupled rib and buried waveguides for efficient mode-spot converters

et al. 1998

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A novel spectral method, which combines the advantages of two proven techniques, namely the Spectral Index and Free Space Radiation Mode methods, is presented for the analysis of a mode spot converter with air clad boundaries. The approach is very efficient and accurate, giving propagation constants and field proffles in a matter of seconds. Design curves and field profiles which can be used to optimise the spot converter are also given.

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Free space radiation mode analysis of rectangular dielectric waveguides

Cited by 12 publications

References 11 publications

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

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

Radiation- and Bound-Mode Propagation in Rectangular, Multimode Dielectric, Channel Waveguides With Sidewall Roughness

Analysis of coupled rib and buried waveguides for efficient mode-spot converters

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