Optical Transfer of the Three-Dimensional Object*†

Optical Transfer of the Three-Dimensional Object*†
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三维物体的光学传输*†

DOI:
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发表时间:
1967
期刊:
影响因子:
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通讯作者:
B. Boley
B. Boley
中科院分区:
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文献类型:
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作者:
B. Frieden;Roy Frieden;B. Boley

文献摘要

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提出了一种确定三维物体图像空间和三维图像光谱的传递理论。对于非相干和相干照明,发现图像服从卷积,转移和采样定理,类似于普通二维理论的熟悉结果。三维传递函数与成像光学系统的瞳孔功能有关。该理论的一个结果是,在非相干光照条件下,物象空间包含不超过1/(λ3f/no)。4)自由度/单位体积,其中λ为光的波长。转移理论是基于平稳性体积的存在,称为“同位体”;对象必须划分为的。在衍射受限的情况下,在足够小的体积上,同工性是近似的。
A transfer theory is developed that determines the image space, and three-dimensional image spectrum, of a 3–D object. For both incoherent and coherent illumination, the image is found to obey convolution, transfer, and sampling theorems that resemble the familiar results of ordinary 2-D theory. A 3-D transfer function is related to the pupil function of the image-forming optical system. One result of the theory is that with incoherent illumination, the object image space contains no more than 1/(λ3f/no.4) degrees of freedom/unit volume, where λ is the wavelength of light. The transfer theory is based on the existence of volumes of stationarity, termed “isotomes;” into which the object must be partitioned. Isotomicity is shown to be approximated, over sufficiently small volumes, in the diffraction-limited case.