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Fractional Fourier transform for annular flat-topped beams

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【Author】 TANG Bin, JIN Yi, and JIANG Mei-ping School of Mathematics and Physics, Jiangsu Polytechnic University, Changzhou 213016, China

【机构】 School of Mathematics and Physics,Jiangsu Polytechnic University；

【摘要】 The fractional Fourier transform (FRFT) is applied to treat the propagation of annular flat-topped beams. Based on the definition of FRFT in the cylindrical coordinate system, analytical formulae are derived for annular flat-topped beams through the FRFT optical systems. By using the formulae, the properties of annular flat-topped beams in the FRFT plane are illustrated numerically. The results show that the intensity distribution properties in the FRFT plane are closely related to the fractional order of the FRFT optical system and initial beam parameters.更多还原

【Abstract】 The fractional Fourier transform (FRFT) is applied to treat the propagation of annular flat-topped beams. Based on the definition of FRFT in the cylindrical coordinate system, analytical formulae are derived for annular flat-topped beams through the FRFT optical systems. By using the formulae, the properties of annular flat-topped beams in the FRFT plane are illustrated numerically. The results show that the intensity distribution properties in the FRFT plane are closely related to the fractional order of the FRFT optical system and initial beam parameters.更多还原

【关键词】 annular； fractional； FRFT； coordinate； formulae； numerically； cylindrical； illustrated； normalized； shadow；

【基金】 supported by the Scientific Research Fund of Jiangsu Provincial Education Department (No.08KJD140007);the Scientific Fund of Jiangsu Polytechnic University (No.ZMF08020014)

【文献出处】 Optoelectronics Letters ,光电子快报(英文版) , 编辑部邮箱 ,2010年01期

【分类号】O438.2
【被引频次】3
【下载频次】40

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