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Basics of Fourier optics.

ОК14

Обов’язкова дисципліна для ОП

Second

2022/2023

3 Semester

3

Mastering modern Fourier methods - transformations for processing, recording, and analysis of optical spatial signals. Developing the ability to solve practical problems and apply theoretical knowledge in further research.

Full-time form

The student must know the main sections of the general courses of mathematics and physics: "Mathematical analysis", "Optics", "Electricity", "Atomic Physics", the main topics of theoretical physics courses "Quantum mechanics "," Electrodynamics "," Solid State Physics ", in particular, to know the basic laws electricity, optics, mathematical analysis, basics of mathematical physics. The student must be able to: solve problems in the courses of electricity, electrodynamics, and quantum mechanics, in particular, differential and integrodifferential equations, apply prior knowledge of courses in mathematical analysis, and mathematical physics. Be able to build a mathematical model for a physical system. know and be able to analyze optical systems in the frequency-space area, to understand the issues of resolution of optical equipment.

Correlation, Fourier transform (PF), PF properties, basic theorems. Trial and generalized functions. Angular spectrum of the field and spatial frequencies. Space layer as a spatial frequency filter. Interaction of the signal with the filter. Fresnel and Fraunhofer diffraction. Parabolic and spherical optics. The lens as a Fourier translator. Spatial filtering. Transformation of a Gaussian beam by a lens system. Temporal and spatial coherence. Multi-frequency interference, Fourier spectroscopy. Star interferometer, point source. Optical methods of information processing. Synthesis in the frequency domain. Spatial filtering. Incoherent information processing systems. Coherent radar with synthesized aperture. Dual content of spatial frequencies / Solving physical problems using Parseval's theorem. The ultimate possibilities of Fourier optics and Fourier spectroscopy

1. Kononchuk GL, Prokopets VM, Stukalenko VV. Introduction to Fourier optics. VPC "Kyiv University", 2010. 2. Goodman J. Introduction to Fourier optics 4. 3.Soroko LM Introduction to Coherent Optics and Holography.

Lectures, demonstration laboratory works, reports

Assessment of the knowledge is carried out according to the modular rating system. It consists of 2 modules. Forms of current control: assessment of the level of knowledge by control works and presentations. The student can receive a maximum of 30 points for each module. The results of students' learning activities are evaluated on a 100-point scale in the semester: 100 points for content modules, a credit score is calculated as the sum of points received by students in each module, and a maximum of 40 points at the final test at the end of semester.

Ukrainian