Abstract
In this work, Point Spread Function (PSF) for triangular aperture was studied, in case of ideal optical system, also in case of presence first order aberrations )focal error and tilt aberration) and third order aberrations (spherical ,coma, and astigmatism aberrations) individually, and for the same values of aberration factor )W=0.1λ …..0.5 λ ) for angle of rotation (ѱ =0). First order aberrations were added to third order aberrations, to obtain the best balance and to reduce the curve width of the (PSF), and to increase the Strehl ratio, like adding a tilt aberration to the coma aberration and adding focal error to spherical aberration and astigmatism aberration. There are some aberrations effects impact negatively on point spread function, such as focal error with coma aberration and tilt aberration with spherical aberration.
Highlights
Many optical designers used aberration curves to explain the state of correction of an optical system, because these curves grant a designer important details about the relative contributions of individual aberrations to lens Action [1]
The point spread function can be defined as the intensity distribution at the image plane of a Specific optical system [8], the pupil function can be written as the following [9]
Three cases were studied in this work, the first is aberration free system, the second with present different types of aberrations with the aberration factor )W=0.1λ, 0.2 λ,0.3 λ,0.4 λ,0.5 λ ) and angl balancing first order aberrations with third order aberrations, as follows: 5.1.Point Spread Function (PSF) with First Order Aberrations )Focal Error and Tilt Aberration)
Summary
Many optical designers used aberration curves to explain the state of correction of an optical system , because these curves grant a designer important details about the relative contributions of individual aberrations to lens Action [1]. A.Raheem, discussed effect of the multiple synthetic aperture on linear spread function using optical system contain high degrees of aberrations [6]. In 2019, Farah.M. Faisal Hussein and Sundus .Y. Hasan, studied the optimum balance of aberrations on point spread function for annular eccentric circular aperture [7]. The point spread function can be defined as the intensity distribution at the image plane of a Specific optical system [8], the pupil function can be written as the following [9]. The area of the triangle, as follows: π From this figure, we find that, The wave front aberration function can be written as a series of terms [11]. Where Wklm is the aberration factor, is principal ray height from optical axis in exit pupil, r is the radial distance of wave in exit pupil, and is the angle between r and x axis, while k, l, and m represent powers of , r, and respectively. equation (5) can be written as [ 12,13]
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