Title :
Green´s function for paraxial equation in time domain
Author :
Nerukh, A. ; Zolotariov, D.
Author_Institution :
Kharkov Nat. Univ. of Radio Electron., Kharkov, Ukraine
Abstract :
Time dependent solutions to the electromagnetic problem in paraxial approximation are derived through the Green´s function for the paraxial equation. Two forms of time-spatial pulses, the Gaussian pulse and the Airy pulse, are obtained by applying the Green´s function to a proper source current. The both pulses propagate decelerating in time but with various temporal behaviour of a velocity.
Keywords :
Green´s function methods; electromagnetic field theory; electromagnetic fields; electromagnetic wave propagation; Airy pulse; Gaussian pulse; Green function; electromagnetic problem; paraxial equation; time-spatial pulses; Approximation methods; Electromagnetics; Equations; Green´s function methods; Mathematical model; Optical beams; Trajectory;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory (MMET), 2012 International Conference on
Conference_Location :
Kyiv
Print_ISBN :
978-1-4673-4478-4
DOI :
10.1109/MMET.2012.6331276
