By Sergei Tretyakov
Textual content offers an creation to using analytical versions within the layout of antennas and microwave units. Demonstrates how analytical types supply an realizing of electromagnetic phenomena in new fabrics and buildings. Equips practitioners with the information and layout instruments for constructing new functions.
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Extra info for Analytical modeling in applied electromagnetics
Thus, g1(t) and g2(t) are said to be out of phase by π/6 radians, or 30°. 10 Root Mean Square or Effective Values In many instances, it is convenient to describe time-varying fields in terms of their root mean square (rms) values. Of particular importance is the use of rms values in describing average power, which most EM equipment measures. 27. 16). 27. This instantaneous power fluctuates from zero to some maximum value, which is proportional to the peak value of E2. 27. 125. 5/ 2 )2. 5/ 2 ) is the rms value of the function E.
35. The attenuation constant α represents how fast the wave attenuates as it propagates; it is given in units of nepers per meter. Actually, the neper (Np) is really dimensionless, so the units of α can also be thought of as loss per meter. The field inside the body as a function of propagation distance can be found from E0 e–αz, where E0 is the incident field just inside the surface of the body, and z is the propagation distance (how far the field has penetrated into the body). 34) Almost all biomaterials are nonmagnetic, so μ′ = μ0.
Glass and most plastics are lossless or near-lossless materials. Lossless materials make good electrical insulators, because they contain no free charges. 28 Illustration for calculating the rms value of the function f. The top graph shows f as a function of t, and the bottom one shows f2 as a function of t. 14. 29 illustrates the concepts of propagating waves. As an example, the figure shows the magnitude of the electric field E as a function of distance z at two different instants of time, t1 and t2.
Analytical modeling in applied electromagnetics by Sergei Tretyakov