Design of grating-assisted waveguide couplers with weighted coupling

Winick, Kim A.

doi:10.1109/50.97636

Cited by 21 publications

(3 citation statements)

References 19 publications

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“…To apply the GLM inverse-scattering method, we must specify the scattering data of the ZS equation, and, in the forward-coupling case, one must specify the scattering coefficient 10,11 as…”

Section: Design Examplesmentioning

confidence: 99%

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Analysis and design of almost-periodic vertical-grating-assisted codirectional coupler filters with nonuniform duty ratios

Chern

Wang

2000

Appl. Opt.

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A systematic approach to the analysis of almost-periodic vertical-grating-assisted codirectional couplers with nonuniform duty ratios is presented. The Poisson sum formula is used to expand rigorously a nonuniform rectangular grating into a quasi-Fourier series, and local grating parameters such as period, width, and duty ratio can be defined unambiguously in such a procedure. On the basis of this expansion the coupled-local-mode formulation is the most natural extension for the analysis of such a nonuniform grating-assisted codirectional coupler filter. By transformation of the coupled-local-mode equations into the Zakharov-Shabat system the Gel'fand-Levintan-Marchenko inverse-scattering method is then used to synthesize special grating-assisted codirectional coupler filters. The design is illustrated by two typical examples: One is a third-order Butterworth filter, and the other is a linear filter.

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“…To apply the GLM inverse-scattering method, we must specify the scattering data of the ZS equation, and, in the forward-coupling case, one must specify the scattering coefficient 10,11 as…”

Section: Design Examplesmentioning

confidence: 99%

“…The nonuniform coupling coefficient was realized by variation of the width of the grating with fixed duty ratios. 11 In this paper a GACC filter with a vertical-coupling geometry ͓Fig. 1͑a͔͒ is our main concern.…”

Section: Introductionmentioning

confidence: 99%

Analysis and design of almost-periodic vertical-grating-assisted codirectional coupler filters with nonuniform duty ratios

Chern

Wang

2000

Appl. Opt.

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“…2 ͩ e tj * • e tk ϩ n 2 n 2 e zj * e zk ͪ dA, (14) where n 2 (x, y) is the transverse index profile of region 0, n 2 ϭ n 2 ϩ ⌬n g 2 is that of region 1, and the subscripts t and z indicate the transverse and longitudinal parts of the electric fields, respectively. With the mode amplitude transformations (15) the coupled-mode equations (11) (16) where the local detuning parameter is defined as…”

Section: Coupled-mode Theory For Nonuniform Binary Waveguide Gratingsmentioning

confidence: 99%

Design of binary long-period fiber grating filters by the inverse-scattering method with genetic algorithm optimization

Chern

Wang

2002

J. Opt. Soc. Am. A

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An approach is presented to the design of binary long-period fiber grating (LPFG) filters based on the Gel'fand-Levitan-Marchenko (GLM) inverse-scattering method and genetic algorithm optimization. The nonuniform coupling strength of the binary grating can be realized by varying the local duty ratio. A coupled-mode theory combined with the Poisson sum formula for treating the binary index perturbation is developed for the application of the GLM synthesis method. Since the coupled-mode theory, which smears out the discrete coupling nature, can be regarded only as an approximation to the modeling of a binary LPFG, we use instead the transfer-matrix model to analyze the coupling behavior of a nonuniform binary LPFG. Based on the synthesized grating patterns from the GLM method, a real-coded genetic algorithm with the transfer-matrix model is used to compensate for the discrepancies resulting from use of the coupled-mode theory and to optimize the design. We exemplify the above procedure by designing a flatband LPFG filter and a high-visibility all-fiber Mach-Zehnder filter.

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Analysis of tunable codirectional vertical couplers with liquid crystal overlays for integrated dye lasers

Sakata

2005

Opt Quant Electron

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We propose a guided-wave dye laser using a grating-assisted codirectional vertical coupler as an intracavity tunable filter. A liquid crystal overlay is designed to attain a phase-matching wavelength shift in the vertical coupler and a tunable range of over 60 nm is calculated at a center wavelength of 590 nm with a coupling efficiency of more than À1 dB. The tunable range is limited by the coupling length mismatch rather than by the refractive index variation in the liquid crystal overlay. Sidelobe level in the filter response is increased when the phase-matching wavelength is shifted to the long-wavelength side; nevertheless, the weighted coupling keeps the sidelobe-suppression ratio at more than 30 dB over a spectral span of 100 nm.

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Design of grating-assisted waveguide couplers with weighted coupling

Cited by 21 publications

References 19 publications

Analysis and design of almost-periodic vertical-grating-assisted codirectional coupler filters with nonuniform duty ratios

Analysis and design of almost-periodic vertical-grating-assisted codirectional coupler filters with nonuniform duty ratios

Design of binary long-period fiber grating filters by the inverse-scattering method with genetic algorithm optimization

Analysis of tunable codirectional vertical couplers with liquid crystal overlays for integrated dye lasers

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