| 光腔的分数付里叶变换描述 |
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| 引用本文： | 赵道木,祝必进.光腔的分数付里叶变换描述[J].光电子．激光,2000,11(4):362-365. |
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| 作者姓名： | 赵道木 祝必进 |
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| 作者单位： | 浙江大学物理系!浙江杭州310028 |
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| 基金项目： | Project supported by the National Natural Science Foundation of China ( 199740 3 8) and the Zhejiang Province Education Committe |
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| 摘 要： | 运用矩阵光学技巧，球面镜光腔的往返一周光束变换矩阵可分解为两矩阵之积，它们各对应于一分数付里叶变换，因而光腔的振荡本质就是不断作用分数付里叶变换的过程。其稳定条件和束腰位置可用分数阶次描述，分数阶次可为复数。同时，给出了可能的拓展。
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| 关 键 词： | 分数付里叶变换 光腔 矩阵光学 |
Resonators Described by Fractional Fourier Transforms |
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| ZHAO Dao-mu,ZHU Bi-jin,WANG Shao-min.Resonators Described by Fractional Fourier Transforms[J].Journal of Optoelectronics·laser,2000,11(4):362-365. |
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| Authors: | ZHAO Dao-mu ZHU Bi-jin WANG Shao-min |
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| Abstract: | By means of matrix optics technique the beam transfer matrix for one round trip in a spheric a l mirror resonator can be decomposed into two matrix product,it is shown that ea ch one corresponds to the fractional Fourier transform.The beam oscillator in a resonator can be regarded as a continually implementing fractional Fourier trans f orm process.The stability condition and the beam waist position for a resonator a re described by the fractional order.The fractional order can be complex.Proper extension is given. - |
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| Keywords: | fractional Fourier transforms resona tors matrix optics |
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