Journal of Radio Electronics. eISSN 1684-1719. 2023. 10
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DOI: https://doi.org/10.30898/1684-1719.2023.10.4

 

THE DEPENDENCE OF THE SIGNAL ON THE DISPLACEMENT
OF THE LENS SCATTERING CIRCLE
IN THE ANGLE RANGE 0 ° - 90 ° RELATIVE TO THE PIXEL CENTER
OF THE PHOTOSENSITIVE MATRIX

 

I.V. Znamenskii

 

Precision Instrumentation Systems Scientific and Production Corporation,
 111024, Russia, Moscow, Aviamotornaya str, 53

 

The paper was received June 8, 2023.

 

Abstract. The subject of study. An algorithm has been developed for calculating the change in the irradiation level of a matrix pixel when the focal spot shifts relative to the center of the matrix pixel in the range from 0 ° to 90 °. Two types of pixel irradiance distribution are considered: distribution in the lens scattering circle in the form of a gaussian rotation and uniform irradiance. Method. The calculation is based on the method of dividing the lens scattering circle on the matrix pixel into separate areas, according to which the irradiance is calculated. The displacement of the lens scattering circle by ∆x along the X axis and by ∆y along the Y axis is taken as normalized to the spot radius. To create a two-dimensional graph of the dependence of the pixel irradiance on the displacement of the lens scattering circle along the X, Y axes, we introduce the transformed relative displacement of the lens scattering circle γ. The main results. An algorithm has been developed for calculating the change in the irradiation level of a matrix pixel when the lens scattering circle is shifted relative to the matrix pixel for two cases of pixel irradiation: the distribution in the lens scattering circle in the form of a gaussian rotation and uniform irradiation. The dependence of the normalized irradiance of the matrix pixel on the transformed relative displacement of the lens scattering circle γ at an angle of 0 °, 30 °, 45 °, 60 °, 90 ° is plotted on the graph for the above cases of irradiation.

Keywords: lens, diffraction, matrix, pixel, Bessel function, Gaussian function, Airy disk.

Financing:

Correspondingauthor: Znamenskii Igor Vsevolodovich, igorznamenskii@yandex.ru

 

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For citation:

Znamenskii I.V. The dependence of the signal on the displacement of the lens scattering circle in the anglerange 0-90º relative to the pixel center of the photosensitive matrix. // Journal of Radio Electronics. – 2023. – №. 10. https://doi.org/10.30898/1684-1719.2023.10.4 (In Russian)