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Tschunko, H. F. A.

Publications and source records attributed to Tschunko, H. F. A..

Imaging performance of annular apertures. IV - Apodization and point spread functions. V - Total and partial energy integral functions

Reference is made to a study by Tschunko (1979) in which it was discussed how apodization modifies the modulation transfer function for various central obstruction ratios. It is shown here how apodization, together with the central obstruction ratio, modifies the point spread function, which is the basic element for the comparison of imaging performance and for the derivation of energy integrals and other functions. At high apodization levels and lower central obstruction (less than 0.1), new extended radial zones are formed in the outer part of the central ring groups. These transmutation of the image functions are of more than theoretical interest, especially if the irradiance levels in the outer ring zones are to be compared to the background irradiance levels. Attention is then given to the energy distribution in point images generated by annular apertures apodized by various transmission functions. The total energy functions are derived; partial energy integrals are determined; and background irradiance functions are discussed.

Tschunko, H. F. A.

Annular apertures with low and high obstruction

The distribution of image energy by the central obstruction of annular apertures is discussed with special emphasis on the effect of an aperture shape parameter which can be interpreted optically as the inverse obstruction ratio. This parameter generates group arrangements with the number of rings given by N2 = 1/a, where a is the central obstruction ratio.

Tschunko, H. F. A.

Imaging performance of annular apertures. III - Apodization and modulation transfer functions

Apodization functions with decreasing transmission and their opposite, functions with increasing transmission, are investigated for various central obstruction ratios. The resultant modulation transfer functions are presented for various transmission functions and central obstruction ratios. Conclusions applicable to the improvement of imaging performance are discussed.

Tschunko, H. F. A.

Apodization and image contrast

Apodization is often defined in a restricted sense as the suppression of the outer parts (i.e., the concentric rings) of wave optical point images, which results in a higher relative concentration of energy in the central image area. In a wider sense, apodization is defined as any modification of the transmission distribution across the aperture. Generally the modulation transfer function (MTF) is not used in the treatment of apodization. To see how the imaging performance is modified, the MTF is introduced into the discussion. Besides the constant transmission, two transmission distributions which are functions of the aperture radius are considered.

Tschunko, H. F. A.

Imaging performance of annular apertures. II - Line spread functions

Line images formed by aberration-free optical systems with annular apertures are investigated in the whole range of central obstruction ratios. Annular apertures form lines images with central and side line groups. The number of lines in each line group is given by the ratio of the outer diameter of the annular aperture divided by the width of the annulus. The theoretical energy fraction of 0.889 in the central line of the image formed by an unobstructed aperture increases for centrally obstructed apertures to 0.932 for the central line group. Energy fractions for the central and side line groups are practically constant for all obstruction ratios and for each line group. The illumination of rectangular secondary apertures of various length/width ratios by apertures of various obstruction ratios is discussed.

Tschunko, H. F. A.

Imaging performance of annular apertures

An investigation is conducted of images which are formed by aberration free optical systems with annular apertures in the whole range of central obstructions ratios approaching 1.0. It was found that annular apertures form central and surrounding ring groups. The energy fractions in the central and surrounding ring groups do not decrease with increasing obstruction ratio, but remain constant for all obstruction ratios and for all fractional energy levels. Images formed by unobstructed apertures are quantitatively superior because they are smaller than those formed by annular apertures.

Tschunko, H. F. A.

Annular apertures with high obstruction

Consideration of the effects of annular apertures on the irradiance distribution in aberration-free images. It is demonstrated that annular apertures with higher ratios of central obstruction produce a significant change in the distribution of irradiance and total energy over the image radii. Calculations and diagrams are included to support this conclusion.

Tschunko, H. F. A.

Surface deviations and imaging performance

Telescope wave optical imaging performance, deriving point spread function, radial energy integral and modulation transfer functions for different wave front surface deviations

Tschunko, H. F. A.