TY - JOUR
T1 - Self-consistent treatment of the full vectorial nonlinear optical pulse propagation equation in an isotropic medium
AU - Matuszewski, Michał S.
AU - Wasilewski, Wojciech
AU - Trippenbach, Marek
AU - Band, Y. B.
N1 - Funding Information:
This work was supported in part by Polish grant KBN 2PO3B01918, and grants from the the Israel Science Foundation (Grant No. 212/01), and the Israel MOD Research and Technology Unit. Calculations were carried out using the hardware and software resources of the Interdisciplinary Center for Mathematical and Computational Modeling, at the University of Warsaw (ICM).
PY - 2003/6/15
Y1 - 2003/6/15
N2 - We derive a propagation equation for the pulse envelope of an electromagnetic field in an isotropic nonlinear dispersive media. The equation is first order in the propagation coordinate. We develop expressions valid without any additional assumptions on the form of the nonlinear polarization. Specific results are given for a Kerr-type nonlinear polarization in the form of a truncated nonlinear differential polynomial. We discuss the applicability of the expansion and determine the conditions for its validity; if and only if the counter-propagating wave is negligible is the expansion valid. We take into account a vectorial character of the electromagnetic field and show that it generates corrections of the same order as the nonparaxial terms.
AB - We derive a propagation equation for the pulse envelope of an electromagnetic field in an isotropic nonlinear dispersive media. The equation is first order in the propagation coordinate. We develop expressions valid without any additional assumptions on the form of the nonlinear polarization. Specific results are given for a Kerr-type nonlinear polarization in the form of a truncated nonlinear differential polynomial. We discuss the applicability of the expansion and determine the conditions for its validity; if and only if the counter-propagating wave is negligible is the expansion valid. We take into account a vectorial character of the electromagnetic field and show that it generates corrections of the same order as the nonparaxial terms.
UR - http://www.scopus.com/inward/record.url?scp=0038044631&partnerID=8YFLogxK
U2 - 10.1016/S0030-4018(03)01535-9
DO - 10.1016/S0030-4018(03)01535-9
M3 - Article
AN - SCOPUS:0038044631
SN - 0030-4018
VL - 221
SP - 337
EP - 351
JO - Optics Communications
JF - Optics Communications
IS - 4-6
ER -