Optical Resolution - System Resolution

System Resolution

There are two methods by which to determine system resolution. The first is to perform a series of two dimensional convolutions, first with the image and the lens, then the result of that procedure with the sensor, and so on through all of the components of the system. This is computationally expensive, and must be performed anew for each object to be imaged.

\mathbf{PSF_{lens}(x,y) * PSF_{sensor}(x,y) *}
\mathbf{PSF_{transmission}(x,y) * PSF_{display}(x,y)}

The other method is to transform each of the components of the system into the spatial frequency domain, and then to multiply the 2-D results. A system response may be determined without reference to an object. Although this method is considerably more difficult to comprehend conceptually, it becomes easier to use computationally, especially when different design iterations or imaged objects are to be tested.

The transformation to be used is the Fourier transform.

\mathbf{MTF_{atmosphere}(\xi,\eta) \cdot MTF_{lens}(\xi,\eta) \cdot }
\mathbf{MTF_{sensor}(\xi,\eta) \cdot MTF_{transmission}(\xi,\eta) \cdot}


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