caa a22 4500 445858400 CHVBK 20180317145435.0 cr unu---uuuuu 170323e20110101xx s 000 0 eng 10.1007/s10946-011-9186-2 doi (NATIONALLICENCE)springer-10.1007/s10946-011-9186-2 Structure of a laser field of various polarizations in the focal region of an ideal focusing lens. Calculation by methods of scalar diffraction theory [Elektronische Daten] [Yu. Krylenko, Yu. Mikhailov, A. Orekhov, G. Sklizkov, A. Chekmarev] Within the framework of the scalar diffraction theory, we elaborate the method of calculating the electromagnetic-field structure in the ideal-lens focal plane. Using the method of quaternions for describing the rotation in three-dimensional space and diffraction integrals, we derive analytic formulas for the intensity distribution in the fields in the vicinity of the lens focal plane. We generalize the Debye method for an arbitrary polarization of the incident laser beam, in particular, for the linear, radial, and azimuthal polarizations. Such an approach, in view of the analytic formulas obtained, allows us to decrease the processing speed by an order. We show that the algorithm elaborated allows us to calculate the field amplitude-phase structure in the case of multimode laser radiation with a random phase. Springer Science+Business Media, Inc., 2011 Debye integral nationallicence Kirchhoff integral nationallicence scalar diffraction theory nationallicence ideal lens nationallicence quaternions nationallicence laser radiation nationallicence Krylenko Yu P. N. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, 119991, Moscow, Russia aut Mikhailov Yu P. N. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, 119991, Moscow, Russia aut Orekhov A. P. N. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, 119991, Moscow, Russia aut Sklizkov G. P. N. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, 119991, Moscow, Russia aut Chekmarev A. P. N. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, 119991, Moscow, Russia aut Journal of Russian Laser Research Springer US; http://www.springer-ny.com 32/1(2011-01-01), 19-40 1071-2836 32:1<19 2011 32 10946 https://doi.org/10.1007/s10946-011-9186-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10946-011-9186-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Krylenko Yu P. N. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, 119991, Moscow, Russia aut NATIONALLICENCE 700 1- Mikhailov Yu P. N. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, 119991, Moscow, Russia aut NATIONALLICENCE 700 1- Orekhov A. P. N. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, 119991, Moscow, Russia aut NATIONALLICENCE 700 1- Sklizkov G. P. N. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, 119991, Moscow, Russia aut NATIONALLICENCE 700 1- Chekmarev A. P. N. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, 119991, Moscow, Russia aut NATIONALLICENCE 773 0- Journal of Russian Laser Research Springer US; http://www.springer-ny.com 32/1(2011-01-01), 19-40 1071-2836 32:1<19 2011 32 10946 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer