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Basics of Fourier optics.

ОК14

Обов’язкова дисципліна для ОП

Second

2024/2025

3 Semester

3

The result of learning is mastering the mathematical apparatus of the Fourier transform and the principles of linear filtering for considering the transformations of light fields by optical systems, spectral analysis, and optical information processing methods, which are used in various fields of science and technology.

Full-time form

Knowledge of the basics of electricity and magnetism, optics, atomic physics, electrodynamics, quantum mechanics, solid state theory, mathematical analysis, the basics of vector and tensor analysis, methods of mathematical physics to the extent provided for by the curriculum for students of physics faculties of universities (educational and qualification level "bachelor"). Ability to work with educational and scientific literature, search for necessary information on the Internet, differentiate and integrate functions, perform integral direct and inverse Fourier transforms of functions, solve integral equations, construct graphs of functions on a computer. Skills in calculating derivatives, integrals and expanding functions into a series. Skills in adjusting optical systems, conducting optical and spectroscopic measurements.

Studying the modern methods of Fourier transforms and linear filtering for recording, processing and analysis of optical spatial and temporal signals, as well as the possibilities of practical application of the concepts and methods of Fourier optics in various fields of science and technology.

1. Kononchuk GL, Prokopets VM, Stukalenko VV. Introduction to Fourier optics. VPC "Kyiv University", 2010. 2.Papoulis A. Systems and transforms with applications in optics.- McGraw-Hill, 1968. 3.Googman J. W. Introduction to Fourier optics.- McGraw-Hill, 1968. 4.Yu F. T. S. Introduction to diffraction, information processing, and holography.- The MIT Press, 1973. 5.Bates R. T., McDonnell M. J. Image restoration and reconstruction.- Oxford University Press, 1986.

Lectures, demonstration laboratory works, reports

The results of students' academic activities are assessed on a 100-point scale. Forms of current control: oral surveys during lectures (20 points), one modular test (20 points) and defense of laboratory works (20 points). Final semester control is carried out in the form of a final test (40 points).

Ukrainian