Analysis Methods for RF, Microwave, and Millimeter-Wave by Cam Nguyen

By Cam Nguyen

Collect the paintings of others within the box, write a booklet approximately it, increase it with a number of mathematical appendices, ship it to the editor, and you will get 2 hundred pages+ of thick conception, void of functional curiosity for the layout engineer.

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However, the most convenient way of obtaining these fields is solving a special class of equations known as the wave equations. We shall derive these equations as follows. We consider a medium that is source free ( D J D 0) and simple (homogeneous, isotropic, and linear) and assume that the fields are time harmonic. The medium is characterized by a dielectric constant ε and permeability . Taking the curl of Maxwell’s Eq. 5a) and making use of Maxwell’s Eq. 24 is the wave number. 25 where A is an arbitrary vector, we can then rewrite Eq.

Its particular use in analyzing transmission lines is described in Chapters 6 (Variational Methods) and 7 (Spectral-Domain Method). Green’s function is described in details in [1] and [2]. In this chapter, we will present essential information on Green’s function in the space domain. Its treatment in the spectral domain can be found in Chapters 6 and 7. 1 DESCRIPTIONS OF GREEN’S FUNCTION Solution to a microwave boundary-value problem would involve finding the response due to a source in the microwave structure directly or indirectly.

63d is the solution of Eq. 64 Hybrid Modes A hybrid mode is a combination of both TE and TM modes. The general results Eqs. 54), derived earlier can therefore be used directly to determine the fields of the hybrid modes. TEM Modes Solution for the TEM mode can be viewed as a special solution of either the TE or TM mode when Hz or Ez is set to zero, respectively. For instance, we consider the TE mode and let Hz in Eq. 55c) equal zero. This leads to kc,h D 0 and, consequently, Eq. 65 28 FUNDAMENTALS OF ELECTROMAGNETIC THEORY which is basically Laplace’s equation in the transverse plane.

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