The quantity M is the magnification of the system and will be defined soonīecause the dependence on the object space coordinates has been removed, Image amplitude at ( x i, y i) consists only of object contributions ( x o 2 + y o 2) cannot simply be dropped as itĭepends on the integration variables ( x o, y o) of ( 4.24). The image, i.e., in the square module of the image amplitude. Whereby we have neglected the two quadratic phase factorsīy noting that we are primarily interested in the intensity distribution of ![]() The impulse response looked for follows now from the above three equations to Whereby we have readily employed the paraxial approximation.Īfter passage through the lens, the field distribution writes withįinally, the image amplitude is given by the Fresnel approximation of U i( x i, y i), if the object is an ideal unit-amplitude point sourceįirst, we recall that a spherical wave diverging from the point source Whereby ( x i, y i) and ( x o, y o) are the image and object coordinates, Linear superposition integral is postulated to describe imagingįormation with a lens configuration similar to that shown in In view of this linearity of the wave propagation phenomenon, a general Optical field at different spatial coordinates. ( 4.19) establish linear relations between the In the preceding two sections diffraction phenomena in the optical far fieldĪnd the imaging properties of a single thin converging lens were ![]() Next: 4.1.4 Köhler Illumination of Up: 4.1 Principles of Fourier Previous: 4.1.2 Phase Transformation Properties 4.1.3 Fourier Analysis of an Imaging System
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