Proposal and analysis of two-cavity Fabry-Perot structures based on fiber Bragg gratings.

An all-fiber two-cavity Fabry-Perot (FP) configuration based on fiber Bragg gratings (FBGs) is proposed. The characteristics of transmission spectra for the two-cavity FP structure are theoretically analyzed and comprehensively modeled. The explicit expression of the transmission coefficient for the structures is derived. The general conditions for the lengths of two cavities and reflectivities of FBGs are presented to produce the single resonant transmission peak at the central wavelength in the FBG stop band. Based on the theoretical analysis, the transmission spectra of symmetric and asymmetric two-cavity FP structures are simulated, and the simulation results are discussed and explained qualitatively. The design guidelines of the device, including the choices of cavity lengths, grating lengths, and index modulation depths, are concluded. The results show that when the increasing of the cavity length of a single-cavity FP structure results in multiple resonant peaks in the stop band, the two-cavity FP structures of the same length can inhibit the secondary resonant peaks and keep the main peak without degrading the performance through appropriately designing the cavity lengths and FBGs. Finally, the fabrication error tolerances of the structures, including inaccurate cavity lengths and reflectivities of FBGs, are calculated and discussed.

[1]  H. Stadt,et al.  Multimirror Fabry–Perot interferometers , 1985 .

[2]  A novel ultra-narrow transmission-band fiber Bragg grating and its application in a single-longitudinal-mode fiber laser with improved efficiency , 2007 .

[3]  M. Lequime,et al.  Tunable double-cavity solid-spaced bandpass filter. , 2004, Optics express.

[4]  F. Di Pasquale,et al.  Modeling of highly-efficient grating-feedback and Fabry-Perot Er/sup 3+/-Yb/sup 3+/ co-doped fiber lasers , 1996 .

[5]  W W Morey,et al.  Continuously tunable single-mode erbium fiber laser. , 1992, Optics letters.

[6]  S. G. Grubb,et al.  Fiber gratings in lasers and amplifiers , 1997 .

[7]  Bertrand Poumellec,et al.  Densification involved in the UV-based photosensitivity of silica glasses and optical fibers , 1997 .

[8]  Cui Yiping,et al.  A study on the longitudinal mode behavior of Fabry-Perot cavity composed of fiber Bragg grating , 2005 .

[9]  Yong-Kwan Park,et al.  Stable single-mode erbium fiber-grating laser for digital communication , 1993 .

[10]  H J Shaw,et al.  Effects of concentration and clusters in erbium-doped fiber lasers. , 1993, Optics letters.

[11]  G. Ball,et al.  Standing-wave monomode erbium fiber laser , 1991, IEEE Photonics Technology Letters.

[12]  John Lehrer Zyskind,et al.  Short single frequency erbium-doped fibre laser , 1992 .

[13]  T. Erdogan.  Fiber grating spectra , 1997 .

[14]  W H Loh,et al.  Efficient single-frequency fiber lasers with novel photosensitive Er/Yb optical fibers. , 1997, Optics letters.

[15]  G. A. Ball,et al.  Design of a single-mode linear-cavity erbium fiber laser utilizing Bragg reflectors , 1992 .

[16]  K. Hill,et al.  Fiber Bragg grating technology fundamentals and overview , 1997 .

[17]  P. Shum,et al.  Single-Longitudinal-Mode Erbium-Doped Fiber Ring Laser Based on High Finesse Fiber Bragg Grating Fabry–PÉrot Etalon , 2008, IEEE Photonics Technology Letters.

[18]  Xiuhua Yuan,et al.  Single-longitudinal-mode fiber ring laser using fiber grating-based Fabry–Perot filters and variable saturable absorbers , 2006 .