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Title: Noncollinear phase matching in nonlinear optics Author: Miroslav Koffnek Department: Department of Chemical Physics and Optics Supervisor: Doe. R.NDr. Franfisek Trojanek, Ph.D. Supervisor's e-mail address: Fmntisek.TroJAnek^'Tnff.cnni.c/ Abstract: Luminescence in semiconductors can have very fast decay (in terms of picoseconds). Measuring the time evolution of the process requires resolution in terms of hundreds of femtoseconds ( ~ 10~ u s). This high resolution can be reached using optical upconversion method. In the theoretical sect.ion of this report, we discussed the necessary theoretical background which was afterward used to solve a particular problem. We paid extra attention to collinear and noncollincar phase matching, optical upeonveryion, luminescence and nonlinear uniaxial BBO crystal (beta-Barimnborat c.ryxtai, ft — B(iB^O\}. In the practical section, we determined the tuning curve (dependence of the optimal orientation of the crystal on I,he luminescence wavelength) of the non-linear BBO crystal. The crystal was exposed to luminescence radiation and to switching laser beam. Both waves in the crystal propagate like ordinary rays and the sum frequency wave as extraordinary ray (pluisc matching of the o-o—»e kind). The tuning curve1 was at first determined in the case of collinear phase matching, when it. is possible to neglect the angle between entering rays, arid then in more general noncollinear phase matching ease. Calculations were ina.de for wavelengths of the laser beam SlOnm and 7COmn. Obtained data will be used for measuring the time-resolved luminescence- in laboratories of KCHFO. The more accurate (.lining curve obtained by inclusion of the more general noncollinear phase- matching will allow higher accuracy of experiments. Keywords: Nonlinear Optics, Collinear and Noncollincar Phase Matching, Upconversion. Luminescence