Non resistive terminations The situation becomes much more complex but still tractable when we consider non resistive terminations at the load end. As an example we will consider as shown in Figure 2.14 a transmission line terminated at the load end by a capacitance C. The structure is again exc...
Perfect conductor concept We take a practical view of the term perfect conductor to mean a material with very high conductivity, such as a metal, within which any electric field must be negligibly small, but we can still establish a steady value of magnetic field H and magnetic flux density B, i...
Phasor Notation We remind ourelves that the relation between time domain and frequency domain (phasor) variables is expressed by v(z, t) = ...
Plane wave terminology In the above equation the first factor changes amplitude, the second changes phase. The directions of maximum rates of change of amplitude and phase are α and β respectively. The plane perpendicular to β is a plane of constant phase; that such planes exist is why solutions...
Possibility of a surface charge We note in particular that a surface charge density ρs can exist, in many situations, even though not all. It can, for example, exist as a d.c. value on the surface of any material, i.e. a perfect insulator, (after it has been rubbed with the cat), on a non-insula...
Possible interior fi elds We are going for definiteness to make medium 1 the perfect conductor. In this medium there can be no electric field, either time-varying or static, and thus no electric flux density, either time-varying or static. Bec...
Power dissipation per unit area If we calculate the time average power dissipated per unit area of the interface, this is Wa = Z ∞ 0 Wvdz = Z ∞ 0 2|H0|2e−2z/δ 2σδ2 dz = |H0|2 2σδ = |Kx|2 2σδ (9.20) This is the same result as we would have obtained if the current had been assumed t...
Real Poynting vector Because of its importance this vector E×H is called the Poynting Vector and is normally in the time domain denoted by N. N = E ×H . (7.14) We note that at this stage the Poynting vector has been defined of terms real vectors E and H; that those fields may be either steady o...
Re fl ection and Transmission in Lossless Media We return to lossless media, i.e. put σ = 0, and we study the problem of reflection and transmission of electromagnetic waves when a singl...
Re fl ection factors for special cases Note the values given in Table 2.1 for Γv(L) obtained with various values of the load impdedance ZL. It is worth committing this table to memory. A good aid to doing so is to translate it into words such as...
