| 傅里叶光学中波前滤波小波函数的构造 |
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| 引用本文： | 任常愚,任敦亮,于玉琴.傅里叶光学中波前滤波小波函数的构造[J].黑龙江科技学院学报,2004,14(2):123-125,129. |
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| 作者姓名： | 任常愚 任敦亮 于玉琴 |
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| 作者单位： | 1. 黑龙江科技学院,数力系,黑龙江,哈尔滨,150027;哈尔滨工业大学,应用物理系,黑龙江,哈尔滨,150001
2. 黑龙江科技学院,数力系,黑龙江,哈尔滨,150027 |
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| 摘 要： | 从惠更斯一菲涅耳的衍射理论出发，分析了受限孔径衍射现象，认为该现象相当于波前滤波。以矩形孔径和圆孔、正弦型位相光栅的夫琅和费衍射为例，研究得到了小波在波前滤波时应满足的条件，并给出了满足该波前滤波条件的母小波的构造方法，证明了小波变换用于光学信息处理系统的可行性。
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| 关 键 词： | 傅立叶变换 小波 多分辨分析 波前滤波 |
| 文章编号： | 1671-0118(2004)02-0123-03 |
Construction of wavelet function for wavefront filter in Fourier optics |
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| REN Changyu,REN Dunliang,YU Yuqin.Construction of wavelet function for wavefront filter in Fourier optics[J].Journal of Heilongjiang Institute of Science and Technology,2004,14(2):123-125,129. |
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| Authors: | REN Changyu REN Dunliang YU Yuqin |
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| Institution: | REN Changyu1,2,REN Dunliang1,YU Yuqin1 |
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| Abstract: | Based on Huygens-Fresnel's diffraction principle, the paper analyzes the restricted aperture diffraction and assumes this phenomena corresponding to wavefront filter. Analyzing Fraunhofer diffraction of sine grating rectangular and round hole leads to the conditions that wavelet satisfies for wavefront filter. The paper gives a constructive method of the wavelet satisfying the conditions for wavefront filter. The practice proves the feasibility of using wavelet transform in optical information processing system. |
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| Keywords: | Fourier transform wavelet multiresolution analysis wavefront filter |
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