Spectral Approach in the Analysis of Pulsed Terahertz Radiation

• Published in: Journal of infrared, millimeter and terahertz waves Vol. 33; no. 9; pp. 926 - 942
• Main Authors: Ezerskaya, Anna A., Ivanov, Dmitry V., Kozlov, Sergey A., Kivshar, Yuri S.
• Format: Journal Article
• Language: English
• Published: Boston Springer US 01-09-2012; Springer Nature B.V
• Subjects: Classical Electrodynamics; Dielectric strength; Diffraction patterns; Electrical Engineering; Electromagnetic radiation; Electromagnetic waves; Electronics and Microelectronics; Engineering; Exact solutions; Gaussian; Instrumentation; Mathematical analysis; Maxwell's equations; Media; Nonlinear analysis; Nonlinearity; Short pulses; Spectra; Wave propagation; Fraunhofer diffraction; Terahertz spectroscopy; Ultrashort pulse; Single cycle pulse; Fresnel diffraction; Maxwell’s equations
• ISSN: 1866-6892; 1866-6906
• DOI: 10.1007/s10762-012-9907-9

We derive the spectral analogues of the Maxwell equations for describing the propagation of electromagnetic waves in linear and weakly nonlinear dielectric media, which can be useful for the THz spectroscopy of short pulses. We discuss the solutions of those equations for TM and TE polarized nonlinear waves. We obtain analytical solutions of these equations for the case of linear homogeneous isotropic and weakly nonlinear media, and also analyze the patterns of the Fresnel and Fraunhofer diffraction of single-cycle Gaussian THz pulses.