Abstract
This paper examines the properties of wave propagation in transmission lines with periodic LC and CL cells, taking into account ohmic losses in resistors connected in series to lumped capacitors and inductors. First order time differential equations are derived for current and charge, thus allowing analysis of transient regimes of the lines being excited by a pulse of arbitrary shape. In particular we examine the propagation characteristics of periodic lines in which identical unit cells are repeated periodically and also discuss the interpretation of positive and negative phase velocities associated with the LC and CL topologies. Loss effects on the propagation bandwidths of both lines are also discussed, and it is shown that in the left-handed transmission line (CL configuration) the phase advance of the crest of the transmitted signal with respect to the source signal is due to the intrinsic dispersive nature of the CL line which, in contrast to the LC line, is highly dispersive at low propagation factors.
Highlights
IntroductionCharacterized by negative constitutive parameters (electric permittivity and magnetic permeability) metamaterial [1,2,3] is an artificially produced material which exhibits properties not found in nature
Characterized by negative constitutive parameters metamaterial [1,2,3] is an artificially produced material which exhibits properties not found in nature
This paper examines the properties of wave propagation in transmission lines with periodic LC and CL cells, taking into account ohmic losses in resistors connected in series to lumped capacitors and inductors
Summary
Characterized by negative constitutive parameters (electric permittivity and magnetic permeability) metamaterial [1,2,3] is an artificially produced material which exhibits properties not found in nature. An analysis is made of its dual line LC (L and C denoting the shunt capacitance and series inductance in each cell) To this end, by assigning the charge in the capacitor and the current flowing in the inductor as state variables, first order time differential equations are derived for a general CL line and its dual configuration LC. We investigate the properties of propagation in the steady state sinusoidal regime and examine the dispersion characteristics of lossy lines by identifying the frequency bands and group delay in the frequency range 100 kHz to 1 MHz
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Journal of Electromagnetic Analysis and Applications
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
