A LPFG with a period of 145μm has been successfully inscribed in the few modes fiber (FMF) by CO2 laser-irradition method. The mode coupling theory indicates that the first two resonant wavelengths of the LPFG attribute to the mode coupling between the core mode LP01 and the cladding modes LP0,21 and LP0,22. The third one is the result of the coupling between the higher-order core mode LP02 and cladding mode LP0,29 or LP0,30. These resonant wavelengths shift in different direction with the increasing temperature, and the experimental results show their temperature sensitivity are 66.54pm/°C,90.36pm/°,115.1pm/°, respectively
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