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Applied Optics

Applied Optics


  • Vol. 40, Iss. 25 — Sep. 1, 2001
  • pp: 4476–4486

Transfer-matrix approach based on modal analysis for modeling corrugated long-period fiber gratings

Gia-Wei Chern, Lon A. Wang, and Chunn-Yenn Lin  »View Author Affiliations

Applied Optics, Vol. 40, Issue 25, pp. 4476-4486 (2001)

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A transfer-matrix method is developed for modeling a corrugated long-period fiber grating. Cladding-mode resonance in such a corrugated structure can be controlled by the applied tensile stress based on the photoelastic effect. A first-order vectorial perturbation expansion is used to derive the mode fields of the two basic regions under the strain-induced index perturbation. Because the etched cladding radius is much smaller than the unetched radius, the effect of the corrugated structure on cladding modes cannot be treated as a small perturbation. Thus the conventional coupled-mode theory is inadequate for the modeling of such a structure. Based on a self-consistent mode-matching technique, mode coupling within the corrugated structure can be described by a set of transfer matrices. We apply the formulation to the calculation of the transmission spectra of a corrugated long-period grating and compare the calculated with the experimental results. The transfer-matrix approach is found to account well for the features of the transmission spectra of the corrugated long-period gratings.

© 2001 Optical Society of America

OCIS Codes
(050.2770) Diffraction and gratings : Gratings
(060.2280) Fiber optics and optical communications : Fiber design and fabrication
(060.2340) Fiber optics and optical communications : Fiber optics components

Original Manuscript: November 17, 2000
Published: September 1, 2001

Gia-Wei Chern, Lon A. Wang, and Chunn-Yenn Lin, "Transfer-matrix approach based on modal analysis for modeling corrugated long-period fiber gratings," Appl. Opt. 40, 4476-4486 (2001)

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