Transient electromagnetic field propagation through nonlinear medium in time domain
DOI:
https://doi.org/10.1109/ICATT.2015.7136791Keywords:
transient electromagnetic field, time domain, evolutionary approach, nonlinear mediumAbstract
To solve the problem of transient electromagnetic wave propagation in unbounded nonlinear medium the Modal Basis Method or Method of Evolutionary Equation is used. It consists in conversion of the initial three-dimensional nonstationary problem to one-dimensional one for set of evolutionary equations with initial and boundary conditions. The construction of the analytical solution of a nonlinear problem in time domain is proposed by the step-by-step method in approximation of weak nonlinearity and losses by taking into account new sources of current.References
DUMIN, O.; TRETYAKOV, O. Radiation of Arbitrary Signals by Plane Disk. Proc. of 6th Int. Conf. on Math. Methods in Electromagnetic Theory, 10-13 Sept. 1996, Lviv, Ukraine. IEEE, 1996, p.248-251, doi: http://dx.doi.org/10.1109/MMET.1996.565704.
DUMIN, O.; TRETYAKOV, O. Arbitrary Signal Radiation of Coaxial Waveguide Aperture. Proc. of Int. Conf. on Math. Methods in Electromagnetic Theory, 2-5 Jun. 1998, Kharkov, Ukraine. IEEE, 1998, v.1, p.330-332, doi: http://dx.doi.org/10.1109/MMET.1998.709768.
DUMIN, A.N.; KATRICH, V.A.; PIVNENKO, S.N. Radiation of short pulses from the open end of a coaxial waveguide. Telecommunications and Radio Engineering, 1997, v.51, n.11-12, p.81-89.
DUMIN, A.N. Radiation of transient localized waves from an open-ended coaxial waveguide with infinite flange. Telecommunications and Radio Engineering, 1999, v.53, n.6, p.30-34, doi: http://dx.doi.org/10.1615/TelecomRadEng.v53.i6.30.
DUMIN, O.; KATRICH, V.; PIVNENKO, S.; TRETYAKOV, O. Comparative analysis of approximate and exact solutions of transient wave radiation problems. Proc. of Int. Conf. on Math. Methods in Electromagnetic Theory, 2000, Lviv, Ukraine. IEEE, 2000, v.1, p.125-127, doi: http://dx.doi.org/10.1109/MMET.2000.888521.
TRETYAKOV, O.; DUMIN, O.; DUMINA, O.; KATRICH, V. Modal basis method in radiation problems. Proc. of 10th Int. Conf. on Math. Methods in Electromagnetic Theory, 14-17 Sept. 2004. IEEE, 2004, p.321-323, doi: http://dx.doi.org/10.1109/MMET.2004.1397022.
DUMIN, O.; DUMINA, O.; KATRICH, V. Evolution of transient electromagnetic fields in spherical coordinate system. Proc. of Int. Conf. on Math. Methods in Electromagnetic Theory, 2006, Kharkiv, Ukraine. IEEE, 2006, p.363-365, doi: http://dx.doi.org/10.1109/MMET.2006.1689792.
DUMIN, O.; DUMINA, O.; KATRICH, V. Evolution of transient electromagnetic fields in radially inhomogeneous nonstationary medium. Progress In Electromagnetics Research, 2010, v.103, p.403-418, doi: http://dx.doi.org/10.2528/PIER10011909.
DUMIN, O.; TRETYAKOV, O.; AKHMEDOV, R.; STADNIK, Y.; KATRICH, V.; DUMINA, O. Modal basis method for propagation of transient electromagnetic fields in nonlinear medium. Proc. of 7th Int. Conf. on Ultrawideband and Ultrashort Impulse Signals, 2014, p.100-103.
