| 特殊条件下描述反射全息图非线性微分方程的解析解 |
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| 引用本文： | 刘大禾,周静,徐大雄.特殊条件下描述反射全息图非线性微分方程的解析解[J].北京师范大学学报(自然科学版),1992(1). |
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| 作者姓名： | 刘大禾 周静 徐大雄 |
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| 作者单位： | 北京师范大学物理系，北京师范大学物理系，北京邮电学院应用物理系 100875 北京市新外大街，100875 北京市新外大街，100080 北京市学院路 |
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| 摘 要： | 根据耦合波理论,从描述反射全息的非线性微分方程出发,对反射全息图的振幅反射系数进行了分析.结果表明,在低反射及高反射这2种情况下,反射系数均可表示耦合函数的傅立叶变换.这个结果解析地表明,全息图的再现过程实质上是一个菲涅耳衍射的过程.
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| 关 键 词： | 反射全息图 反射系数 傅立叶变换 |
THE ANALYTICAL SOLUTION OF NON-LINEAR DIFFERENTIAL EQUATION FOR REFLECTION HOLOGRAM UNDER SPECIAL CONDITIONS |
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| Liu Dahe.THE ANALYTICAL SOLUTION OF NON-LINEAR DIFFERENTIAL EQUATION FOR REFLECTION HOLOGRAM UNDER SPECIAL CONDITIONS[J].Journal of Beijing Normal University(Natural Science),1992(1). |
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| Authors: | Liu Dahe |
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| Abstract: | According to coupled wave theory, and from the non-linear differential equation describing characteristics of reflection hologram, the reflective coefficient of reflection hologram is analyzed. It shows that under the conditions of low and high reflectivity, the reflective coefficient can be expressed by Fourier transform of the product of coupled function and a phase factor. The result points out analytically that, actually, the reconstructing process of hologram is a process of Fresnel diffraction. |
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| Keywords: | reflection hologram reflective coefficient Fourier transform |
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