Transmission line theory

Dworsky, L. N. Modern Transmission Line Theory and Applications Wiley New York, 1979. 

The sample termination section or cell can be so simple as the end of a coaxial line inner conductor in contact with liquid filling a volume bound by the outer conductor or placed between the end and a grounded plane terminating the outer conductor. These and other arrangements have, again from transmission line theory, an admittance y. (ito) related to... 

MTR wishes to thank the University of Edinburgh for funding. ARM thanks Professor W. John Albery FRS for his major contribution to the partnership which developed the Transmission line theory used in this work. 

In a conducting medium (c / 0) with no source of charge (p = 0), the Maxwell equations yield the first telegraph equation (so named from a transmission-line theory for long-range telegraphy developed by Heaviside) [14] ... 

However, the length of the sample, if it is comparable to the length of the acoustic waves can cause wave interference effects to arise at the sample-water interface and these must be taken into account in a theoretical description. The mathematical treatment of these effects can be found in the literature of transmission line theory which provides the following expression for the impedance of a length 1 of material... 

Fundamental Electromagnetic Theory, Ronold W. P. King. 3.00 Transmission Line Theory, Ronold W. P. King. 2.75 Introduction to Physics, A. Kitaigorodsky. 3.00 The Theory of Electromagnetic Waves, edited by Morris Kline. 3.00... 

Another simple and more versatile cell consists of filling a length d of coaxial line with the sample of interest, as shown in Figure 3c. If fringing effects at the end of this length of line are neglected, the input admittance of the cell is given from transmission line theory by... 

On using Equation 9 for yo, yd=Gc, and Z=iunit length of line is given by Lc = l/c Cc from transmission line theory) in Equation 7 for y-jf, together with Equation 1, one obtainsll... 

Eirst, let us show how to derive the required porous electrode RC theory ( transmission line-theory ) from our results in Section 15.4.3. At high ionic strength conditions, the diffuse (or, Donnan) layer potential will be snfficiently low such that we are in the low-potential limit where we have no net salt (electro-)adsorption in the EDLs (see Equation 15.4). This is the fundamental reason... 

In conclusion, SW-CAM allows us to accurately test the properties of capacitive porous carbon electrodes and calculate the electrode capacity and the various contributions to the observed resistance. In this case, the linear (external) resistance determines the total resistance and analysis suggests that we can assign this resistance to the external electrical circuit, while we can also tentatively conclude that the distributed (volumetric) resistance within the electrode may be close to the ideal value based on an ion transport resistance only determined by the free solution ion diffusion coefficients. This finalizes our exposition of the derivation of the various constants in the transmission line theory based on the SW-CAM technique. In conclusion, the SW-CAM technique is a robust, precise, and very informative method to perform EC analysis on two-electrode capacitive cells in aqueous solutions. 

Kozhevnikov, N.O. (2009). Applying the transmission line theory to study ungrounded horizontal loop self-transients. Russian Geology and Geophysics, 50., 3., 222-233., 1068-7971... 

Reflection loss (RL) quantifies the amount of microwave power reflected fi om the surface of a material slab backed by metal under microwave irradiation. The smaller RL there is for a sample, the better (larger) the microwave absorption in the material. As shown in Figure 1, microwaves with unit amplitude are incident normally on an absorber (sample) slab backed by metal (or a perfect electric conductor, PEC), resulting in reflected waves traveling in the opposite direction. According to the transmission-line theory, the wave impedance (Z,) of the ahsorher slab is given by [16]... 

Wedepohl, L. M. and S. E. T. Mohamed. 1969. Multi-conductor transmission lines Theory of natural modes and Fourier integral applied to transient analysis. Proc. lEE 116 1553-1563. 

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