Based on the definition of fractional Fourier transform(FrFT) in the cylindrical coordinate system,the propagation properties of a controllable dark-hollow beam(CDHB) are investigated in detail.An analytical formula i...Based on the definition of fractional Fourier transform(FrFT) in the cylindrical coordinate system,the propagation properties of a controllable dark-hollow beam(CDHB) are investigated in detail.An analytical formula is derived for the FrFT of a CDHB.By using the derived formula,the properties of a CDHB in the FrFT plane are illustrated numerically.The results show that the properties of the intensity of the beam in the FrFT are closely related to not only the fractional order but also initial beam parameter,beam order and the lens focal length of the optical system for performing FrFT.The derived formula provides an effective and convenient way for analyzing and calculating the FrFT of a CDHB.展开更多
基金supported by the National Natural Science Foundation of China(No.61107055)the Scientific Research Fund of Jiangsu Provincial Education Department(No.10KJB140001)the Natural Science Foundation of Jiangsu Province(No.BK2011229)
文摘Based on the definition of fractional Fourier transform(FrFT) in the cylindrical coordinate system,the propagation properties of a controllable dark-hollow beam(CDHB) are investigated in detail.An analytical formula is derived for the FrFT of a CDHB.By using the derived formula,the properties of a CDHB in the FrFT plane are illustrated numerically.The results show that the properties of the intensity of the beam in the FrFT are closely related to not only the fractional order but also initial beam parameter,beam order and the lens focal length of the optical system for performing FrFT.The derived formula provides an effective and convenient way for analyzing and calculating the FrFT of a CDHB.
