Title: Specialization: 010600 Applied mathematics and physics
Author: JohnDoe
Last saved by: USSRCOM
Company: Grizli777

Specialization: 010700 Physics
Curriculum: 12 Physics of optical phenomena 
Area: 06 Physical optics and lasers 
Supervisor of the curriculum: Prof. Dr.Sci. Yu.A. Tolmachev
Department of optics
Scientific advisers: Doctor of Science, Prof. Dr. Yu.A. Tolmachev
Reviewer: Doctor of Science, Prof. Dr. B.P. Lavrov

Fresnel Lens.
Semen N. Semenov

The presented work is devoted to the study of Fresnel lens, its geometry and principles of operation. The aim of the work was in the simulation of operation of the Fresnel lens of different modifications and comparison their so-called apparatus functions. The apparatus function is the intensity distribution in the focal plane of the image of infinitely distant emitting point.

The Fresnel lens is optical device which consists of a small central lens and a set of concentric so-focused ring lenses which contact each other. The simulation was carried out using the Maple 12 software. Calculation were made for wavelength 500 nm under the condition of any aberration absence. The terms “coherent” Fresnel lens and “real” one were introduced. The apparatus functions for both of them were calculated.

It was shown that the operation of coherent Fresnel lens which is of rather complicated geometry is the same as of traditional perfect lens. It was shown also that the apparatus function for real Fresnel lens strongly differs from the coherent one, it has large amplitude side lobes and the region of slow decrease of lobes maxima.

In the Master Thesis, the results of calculation of the images of simple object are presented. The object is a group of short parallel lines of different widths, each of lines is white rectangle of given sizes at the black background. The distance between the lines was varied to determine the minimal distance at which the image of lines can be seen separately.

Publications:
1.	S.N. Semenov, T.V. Stacenko, Yu.A. Tolmachev. Multi-element coherent focusing system, //Regional XV conference for propagating of radio waves,  St. Petersburg, November, 10-12,2009. Russian Academy of Science. Thesis of reports. St. Petersburg, 2009, pp 101-104.
2.	S.N. Semenov, T.V. Statsenko , Yu.A. Tolmachev. Pulse analysis method as applied to one of the problems of micro- and nanooptics.// Bulletin of the Lebedev Physics Institute. (2009), V. 36, No 12, pp. 350-352.
3.	Semenov Semen, Fresnel Lens. // International Student Conference “Science and progress”, Conference abstracts, St. Petersburg-Peterhov, November, 14-18, 2011, pp. 169.