Radiation loss from planar waveguides with random wall imperfections

Lacey, J.P.R.; Payne, F.P.

doi:10.1049/ip-j.1990.0047

Cited by 112 publications

(120 citation statements)

References 15 publications

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“…To infer Rayleigh scattering loss coefficient from these values, we adapted Lacey and Payne's simple model (Lacey & Payne, 1990) to our multilayer waveguide where the attenuation coefficient is linked to R , the Fourier transform of the autocorrelation function R(u), through the expression:…”

Section: Interface Roughness Characterization By Transmission Electromentioning

confidence: 99%

GaAs/AlOx Nonlinear Waveguides for Infrared Tunable Generation

Guillotel¹,

Ravaro²,

Savanier³

et al. 2010

Advances in Optical and Photonic Devices

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Section: Interface Roughness Characterization By Transmission Electromentioning

confidence: 99%

GaAs/AlOx Nonlinear Waveguides for Infrared Tunable Generation

Guillotel¹,

Ravaro²,

Savanier³

et al. 2010

Advances in Optical and Photonic Devices

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“…Therefore, similarly to (22), if the th bound mode is replaced with the th radiation mode, the power coupling coefficient between the th bound and the th radiation mode is given by (33) with as in (32) with . If we assume that the power coupled from bound to radiation modes is lost, then the attenuation coefficient of the th guided mode is given by integrating over all radiation modes [2, p. 116] ( 34) where is the transverse wavenumber of the th radiation mode (18). The symbol in (34) implies summation over the four different sets of symmetries of the radiation modes.…”

Section: B Attenuation Coefficients Due To Coupling Of Bound To Radimentioning

confidence: 99%

“…Since RFDM is semianalytic, the radiation-mode spectrum has to be segmented and the integrations performed numerically. The segmentation follows from the definition of the transverse wavenumber [see (18)]. The locus of is a circle with radius and we can write (35) with and , for the forward propagating free-space modes in (17a)-(17d).…”

Section: A Segmentation Of Radiation Modesmentioning

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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“…The high-energy ion attacking will lead serious roughness of the etched surface of the silicon grating grooves and the silicon waveguide [2] . The transmission loss of the waveguide and the coupling loss of the grating are determined to a large extent by the surface roughness of silicon waveguide and grating [3] .…”

Section: ⅰ Introductionmentioning

confidence: 99%