Title :
Application areas of approximate methods for analysis of thin gratings. Talbot´s effect
Author :
Petrovska, Galyna A. ; Fitio, Volodymyr M. ; Myssak, Vira V.
Author_Institution :
Dept. of Photonics, Lviv Polytech. Nat. Univ.
Abstract :
The diffraction efficiency of all diffraction orders of thin phase gratings with periods of 50.5, 75.5 and 100.5 of wavelength has been calculated by means of coupled-wave method. The comparison of a precise calculation with the method based on the Fourier series expansion of the periodic amplitude transmission of grating is carried out. The application areas of the approximate method for calculation of efficiency of plane gratings are determined. The comparison of the diffraction efficiency calculated using-a Kohelnik´s equation with its accurate value is carried out for thick film. It is shown theoretically and experimentally that Kohelnik´s equation gives an error for high-frequency grating at deviation from a Bragg angle. Modeling of Talbot´s effect by the coupled-wave method has been carried out
Keywords :
Bragg gratings; Fourier transform optics; Talbot effect; approximation theory; light diffraction; light transmission; Bragg angle; Fourier series expansion; Kohelnik equation; Talbot effect; approximate method; coupled-wave method; diffraction efficiency; high-frequency grating; periodic amplitude transmission; plane gratings; precise calculation; thin gratings; thin phase gratings; Bragg gratings; Couplings; Dielectric constant; Diffraction gratings; Equations; Fourier series; Image analysis; Optical propagation; Talbot effect; Thick films;
Conference_Titel :
Laser and Fiber-Optical Networks Modeling, 2005. Proceedings of LFNM 2005. 7th International Conference on
Conference_Location :
Yalta, Crimea
Print_ISBN :
0-7803-9147-0
DOI :
10.1109/LFNM.2005.1553217
