Fourier Optics and Optical Signal Processing

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Code Completion Credits Range Language
12OZS Z,ZK 3 3+0 Czech
Garant předmětu:
Ivan Richter
Pavel Kwiecien, Ivan Richter
Pavel Kwiecien, Ivan Richter
Department of Physical Electronics

The lecture covers the basics of the Fourier optics and optical information processing. It systematically discusses the Fourier formalism in optics, it mentions also other optical transforms. The propagation and diffraction of light is described in terms of the Fourier optics, using the impulse response, the optical transfer function, the thin transparency, and the phase corrector. Within the recording and modulation of the optical information, the special attention is given, apart from the traditional photographic films, especially to the holography, the spatial light modulators, and the diffractive structures. The lecture also describes the basic processing of analogue, discrete, and logic optical information.


It is recommended to study the subject Optical Physics 1 (12FOPT1,2) prior to the Optical Signal Processing.

Syllabus of lectures:

1. Fourier transform and its properties, discrete signals and transforms.

2. Selected non-fourier transforms in optics (cosine, sine, Fresnel, Hilbert, Radon, Mellin, wavelet transforms).

2. Linear transfer systems.

4. Light propagation and diffraction within the concept of Fourier optics, the scalar signals, the thin transparent, the free space, the quadratic phase corrector, optical realization of the Fourier transform, the impulse response and the transfer function.

5. Coherently and incoherently imaging diffraction limited systems.

6. Aberation limited systems, resolution limits.

7. Diffractive structures in Fourier optics, the thin and volume diffraction gratings, general diffractive structures.

8. Recording and modulation of the optical information, the intensity record, the amplitude and phase records.

9. Optical memories, holographic memories.

10.Analogue optical information processing, the optical realization of various mathematical operations.

11.Coherent and incoherent Fourier processors, correlation and convolution processors.

12.Applications of optical processors - optical pattern and image recognition.

13.Processing of discrete optical information, vector a matrix multiplication, optical interconnection and switching.

14.Processing of logic optical information, digital logic optical processors, optical neural networks.

Syllabus of tutorials:
Study Objective:


The goal of study is to acquaint with the wave optics approach to the propagation of the optical signal, the fundamentals of Fourier optics, optical realization of various mathematical transforms and its application in the analogue, digital, and logic optical information processing.


Wave analysis of the optical transfer and imaging systems, optical realization of various mathematical operations, optical image recognition.

Study materials:

Key references:

[1] Goodman J.W.: Introduction to Fourier Optics, 2. Edition, McGraw Hill, New York, 1996.

Recommended references:

[2] Reynolds, G.O., DeVelis J.B., Parrent G.B., Thomson, B.J.: Physical Optics Notebook: Tutorials in Fourier Optics, SPIE Optical Engineering Press, Washington, 1989.

[3] Born M., Wolf E.: Principles of Optics, Pergamon Press, 4th Edition, New York, 1968.

[4] Papoulis A.: Systems and Transforms with Applications in Optics, McGraw Hill, New York, 1968.

[5] Yu F.T.S., Jutamulia S.: Optical Signal Processing, Computing, and Neural Networks, John Wiley & Sons, New York, 1992.

[6] Saleh B.E.A., Teich M.C.: Fundamentals of Photonics, John Wiley & Sons, New York, 1991.

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The course is a part of the following study plans:
Data valid to 2023-11-28
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