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Analysis of transmission line equations at high frequency*

1999 International Conference on Computational Electromagnetics and its Applications. Proceedings (ICCEA'99) (IEEE Cat. No.99EX374), 2003
The limitations of the classical transmission line equations may cause a large error when using them to deal with EM problems at very high frequency. On the basis of the Maxwell equations, with the help of the integration equation method, new transmission line equations are induced in the frequency domain, and the results of a special situation from ...
null He Wei, null Gao Yougang
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Frequency analysis of generalized time-fractional telegrapher's equation

2017 European Conference on Circuit Theory and Design (ECCTD), 2017
This paper is a step forward in the analysis of generalized time-fractional telegrapher's equation, derived as the mathematical model describing transmission line. Using fractional calculus as a mathematical tool for generalization, memory effects of inductive and capacitive phenomena are included in model.
Cvetićanin, Stevan   +2 more
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Basic equations for high-frequency processes

1987
In this chapter we shall adapt the basic equations presented in the preceding section to the case of high-frequency processes. Characteristic feature of these processes is that only the electrons are considered to respond to the external applied field. Ions are treated as to form an immobile charge background.
Klaus Baumgärtel, Konrad Sauer
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Frequency domain formulation of linearized Navier–Stokes equations

Computer Methods in Applied Mechanics and Engineering, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lee, CO Lee, Chang-Ock, Lee, J, Sheen, D
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Time Frequency Equation

This whitepaper introduces the MEI5 Time-Frequency Equation, a novel mathematical model for time distortion (Delta t) using modulation strength (mu), environmental resonance (r), and universal physical constants. Derived from Planck’s and Einstein’s principles, this equation enables measurable, repeatable synchronization behavior in systems with no ...
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Hyperbolic Equations and Frequency Interactions

1998
Nonlinear Schrodinger equations: Introduction by J. Bourgain Generalities and initial value problems by J. Bourgain The initial value problem (continued) by J. Bourgain A digressioin: The initial value problem for the KdV equation by J. Bourgain 1D invariant Gibbs measures by J. Bourgain Invariant measures (2D) by J.
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The Telegraphist's Equations at Ultra-High Frequencies

Physics, 1935
The telegraphist's or long line equations are derived from the Maxwell field equations for ultra-high frequencies. By taking into account retardation and the time rate of change of current, a new circuit parameter is obtained in addition to the four usually found in the conventional low frequency equations.
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Basic equations for low-frequency processes

1987
In the previous Chapter we derived a nonlinear wave equation capable of describing dynamic processes of the electron fluid under the action of a high-frequency electromagnetic wave. Now we apply the basic system to processes in which the ion dynamics is involved.
Klaus Baumgärtel, Konrad Sauer
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On the frequency dependent Lyapunov equation

IEEE Transactions on Circuits and Systems, 1986
A frequency dependent Lyapunov equation was recently used in the stability analysis of two-dimensional (2-D) digital systems, but no general solution was developed. In this paper a general form of the frequency dependent Lyapunov matrix is proposed and a set of equations which completely characterize the solution are derived.
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Differential Equations With Frequency-Dependent Coefficients

Journal of Ship Research, 1959
In many derivations of ship-motion equations the result appears as a second-order linear differential equation with a sinusoidal driving force and frequency-dependent coefficients. The further assumption of linearity of the system with respect to any driving function is made.
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