Tianjin University of Technology and Springer-Verlag Berlin Heidelberg 2011 C In this paper we design a new kind of sinc-sampled fiber Bragg grating which is fabricated in high birefringence fiber (HBF). The sampled grating has two sets of reflection spectra along two perpendicular polarization directions. The grating's channel number can be doubled approximately by designing the refractive index difference between the fast and slow axes of the fiber, which enhances the utilization ratio and reduces the claim for photosensitivity of the fiber. The group delay characteristics are theoretically studied and side-lobes are depressed by apodization as well to get the optimized spectra. The results show that the comb-like spectra of the grating have promising applications in both multi-wavelength polarized fiber lasers and fiber sensing networks.Due to the advantages of passiveress, multi-channel, narrow bandwidth and uniform channel interval, the sampled fiber Bragg grating (SFBG) has become a key research point of fiber-optic communications [1] and optical fiber sensor network [2] . The basic methods of designing the grating are the sampling method and the reconstruction algorithms [3] , but the utilization ratio of fiber is low and the photosensitivity requirement of fiber is high with these methods. To conquer the disadvantages of them, a multiple-phase-shift (MPS) technique was proposed by Yusuke Nasu and Shinji Yamashita in 2005 [4] , in which multiple phase shifts are introduced in sampled fiber Bragg gratings to realize dense channel spacing. In 2008, Deng Fang [5] proposed a hybrid method for designing multi-channel fiber Bragg gratings, which can reduce the maximum refractive index modulation (MRIM) for 8 channels to approximate 8 times of the single channel. Then in 2009, Navruz [6] proposed two synthesis methods for designing multi-channel sampled gratings with phase-shifts.In this paper, we propose a new multi-channel sincsampled fiber Bragg grating, which is fabricated in high birefringence fiber (HBF). The HBF separates Bragg wavelengths in different polarization directions [7] . So the fabricated grating has two sets of reflective spectra along two perpendicular polarization directions. The spectra will be interleaved with each other by designing the refractive index difference between the fast and slow axes of the fiber, and then the number of grating's channels can be doubled.The SFBG is made by sampling the fiber Bragg grating (FBG). There are many kinds of SFBGs according to different sampling functions. And the rectangle-sampled fiber Bragg grating is the simplest one. The fiber's core structure is shown in Fig.1. Fig.1 Schematic diagram of the rectangle-sampled fiber Bragg gratingIn Fig.1, B is the length of a sampling period, A is the length of the uniform grating area in a sampling period, and B-A is the length of single-mode fiber in the period. Then the duty ratio can be expressed as: P = A/(B -A).According to the coupled-mode theory, in a sampling period, the transfer matrix of the uniform gr...