Grating-Outcoupled Radiation in Second-Order Fiber Bragg Gratings

Sun, Nai–Hsiang; Hu, Chia-Ming; Chiang, Jung-Sheng; Liu, Wen‐Fung; Liau, Jiun-Jie; Lin, Shih-Chiang; Evans, G.A.; Butler, J.K.

doi:10.1080/01468030.2013.861951

Cited by 1 publication

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“…Figure 2 shows the envelope profile of a Chebyshev apodization with an SN of 40 (SN = 40) and an SSL of 100 dB. Assume that the total length of the FBG is 20mm, 30 and that the length of each section is 0.5 mm. Figure 2 presents the envelope profile n 1 σ a c false( z false) of a Chebyshev apodization with a non-zero dc-index change, where n 1 σ d c false( z false) is equal to n 1 σ a c false( z false), and the maximum ac-index change of n 1 σ a c false( z false), labeled as n 1 σ a c normal_ m a x, is 2 × 10 −4 .…”

Section: Resultsmentioning

confidence: 99%

Chebyshev apodized fiber Bragg gratings

Sun

Tsai

Liau³

et al. 2021

Science Progress

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In this paper, a new apodized fiber Bragg grating (FBG) structure, the Chebyshev apodization, is proposed. The Chebyshev polynomial distribution has been widely used for the optimal design of antennas and filters, but it has not been used for designing FBGs. Unlike the function of traditional Gaussian-apodized FBGs, the Chebyshev polynomial is a discrete function. We demonstrate a new methodology for designing Chebyshev-apodized FBGs: the grating region is divided by discrete n sections with uniform gratings, while the index change is used to express the Chebyshev polynomial. We analyze the Chebyshev-apodized FBGs by using coupled mode theory and the piecewise-uniform approach. The reflection spectrum and the dispersion of Chebyshev-apodized FBGs are calculated and compared with those of Gaussian FBGs. Moreover, a sidelobe suppression level (SSL), a parameter of the Chebyshev polynomial, along with the maximum ac-index change of FBGs are analyzed. Assume that the grating length is 20mm, SSL is 100 dB, the section number is 40, and the maximum ac-index change is 2 × 10−4. The reflection spectrum of Chebyshev apodized FBGs shows flattened sidelobes with an absolute SSL of −95.9 dB (corresponding to SSL=100 dB). The simulation results reveal that at the same full width at half maximum, the Chebyshev FBGs have lower sidelobe suppression than the Gaussian FBGs, but their dispersion is similar. We demonstrate the potential of using Chebyshev-apodized FBGs in optical filters, dispersion compensators, and sensors; Chebyshev apodization can be applied in the design of periodic dielectric waveguides.

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