Full vector complex coupled mode theory for tilted fiber gratings.

A full vector complex coupled mode theory (CMT) for the analysis of tilted fiber gratings is presented. With the combination of the perfectly matched layer (PML) and the perfectly reflecting boundary (PRB), the continuous radiation modes are well represented by a set of discrete complex modes. Simulation of coupling to radiation modes is greatly simplified and may be treated in the same fashion as guided modes. Numerical results of the tilted fiber Bragg gratings (TFBGs) with outer-cladding index equal, lower and higher than that of the inner-cladding indicate that the complex coupled mode approach is highly effective in the simulation of couplings to cladding and radiation modes in tilted fiber gratings. The reflective TFBGs are investigated by the proposed approach in detail.

[1]  Shuisheng Jian,et al.  Improved Full-Vector Finite-Difference Complex Mode Solver for Optical Waveguides of Circular Symmetry , 2008 .

[2]  B Ortega,et al.  Coupling characteristics of cladding modes in tilted optical fiber bragg gratings. , 1998, Applied optics.

[3]  K S Lee,et al.  Fiber mode coupling in transmissive and reflective tilted fiber gratings. , 2000, Applied optics.

[4]  I. Bennion,et al.  In-Fiber Twist Sensor Based on a Fiber Bragg Grating With 81$^{\circ}$ Tilted Structure , 2006, IEEE Photonics Technology Letters.

[5]  J. Ging,et al.  In-fiber spectrometer using tilted fiber gratings , 2003, IEEE Photonics Technology Letters.

[6]  S. Feng,et al.  Analysis of radiation-mode coupling in reflective and transmissive tilted fiber Bragg gratings. , 2009, Journal of the Optical Society of America. A, Optics, image science, and vision.

[7]  Li Yang,et al.  Unified Approach for Coupling to Cladding and Radiation Modes in Fiber Bragg and Long-Period Gratings , 2009, Journal of Lightwave Technology.

[8]  P. Westbrook,et al.  Tunable PDL of twisted-tilted fiber gratings , 2003, IEEE Photonics Technology Letters.

[9]  S. Jian,et al.  Analysis of spectral characteristics for reflective tilted fiber gratings of uniform periods , 2008 .

[10]  J. Albert,et al.  Non-uniform-tilt-modulated fiber Bragg grating for temperature-immune micro-displacement measurement , 2009 .

[11]  John E. Sipe,et al.  Tilted fiber phase gratings , 1996 .

[12]  I. Bennion,et al.  Optical chemsensor based on etched tilted Bragg grating structures in multimode fiber , 2005, IEEE Photonics Technology Letters.

[13]  Raman Kashyap,et al.  Wideband gain flattened erbium fibre amplifier using a photosensitive fibre blazed grating , 1993 .

[14]  Ian Bennion,et al.  Generation of infrared surface plasmon resonances with high refractive index sensitivity utilizing tilted fiber Bragg gratings. , 2007, Applied optics.

[15]  Cesar Jauregui,et al.  Near‐field theoretical model of radiation from a uniform‐tilted fiber‐Bragg grating , 2003 .

[16]  Ian Bennion,et al.  High extinction ratio in-fiber polarizers based on 45° tilted fiber Bragg gratings , 2005 .

[17]  T. Erdogan,et al.  In-line polarimeter using blazed fiber gratings , 2000, IEEE Photonics Technology Letters.

[18]  Hwa-Yaw Tam,et al.  Reflective tilted fiber Bragg grating refractometer based on strong cladding to core recoupling. , 2009, Optics express.

[19]  Adalbert Bandemer,et al.  Fibre-polarimeter based on grating taps , 2002 .

[20]  Raman Kashyap,et al.  Physical properties of optical fiber sidetap grating filters: free-space model , 1999 .

[21]  Jacques Albert,et al.  Plasmon resonances in gold-coated tilted fiber Bragg gratings. , 2007, Optics letters.

[22]  Ralph P. Tatam,et al.  Temperature and strain discrimination using a single tilted fibre Bragg grating , 2007 .

[23]  D. Thomson,et al.  Optical fiber refractometer using narrowband cladding-mode resonance shifts. , 2007, Applied optics.

[25]  Y. Koyamada.  Analysis of core-mode to radiation-mode coupling in fiber Bragg gratings with finite cladding radius , 2000, Journal of Lightwave Technology.

[26]  Wei-Ping Huang,et al.  Complex coupled-mode theory for optical waveguides. , 2009, Optics express.

[27]  Byoungho Lee,et al.  A quasi-mode interpretation of radiation modes in long-period fiber gratings , 2003 .

[28]  Guo-Wei Lu,et al.  Experimental Demonstrations of All-Optical Phase-Multiplexing Using FWM-Based Phase Interleaving in Silica and Bismuth-Oxide HNLFs , 2009, Journal of Lightwave Technology.

[29]  Yufeng Li,et al.  Scattering from nonuniform tilted fiber gratings. , 2004, Optics letters.

[30]  Ping Lu,et al.  Shaping the radiation field of tilted fiber Bragg gratings , 2005 .

[31]  Adolfo Cobo,et al.  3D near-field model for uniform slanted fiber gratings , 2003 .

[32]  T. Erdogan,et al.  Leaky cladding mode propagation in long-period fiber grating devices , 1999, IEEE Photonics Technology Letters.

[33]  T. Erdogan,et al.  Volume current method for analysis of tilted fiber gratings , 2001 .

[34]  G. Laffont,et al.  Tilted short-period fibre-Bragg-grating-induced coupling to cladding modes for accurate refractometry , 2001 .

[35]  Y. Koyamada,et al.  Numerical analysis of core-mode to radiation-mode coupling in long-period fiber gratings , 2001, IEEE Photonics Technology Letters.