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Rectangular Guide into Bounded Space. The curve intersects the line of slope — 1 at points of maximum and minimum slope.

Waveguide Handbook : Nathan Marcuvitz :

In special cases, however, the same criteria of a minimum number of network parameters, simple frequency dependence, etc. Field Representation in Nonuniform Spherical Waveguides. The transmis- sion equations 69 permit the determination of the relative admittance at the input of a line of electrical length y — x from a knowledge of the relative admittance at the output. As in the case of a uniform region this may be done by introduction of an infinite set of orthogonal vector functions which are of two types: If dissipation is present only in the medium and is characterized by a complex dielectric constant, as in Eq.

The characteristic impedance of a beyond-cutoff mode i. Radiation from a Circular Guide, Z?

Waveguide handbook

Equation 49 refers to a mode traveling in the positive z direction. Electric and magnetic field intensities are expressed as rms quantities.

The theorem states that, if an analytic function has no zeros or poles in the entire complex plane and is bounded at infinity, the function must be a constant. As for the case of the corresponding uniform line relation 35Eq.

Waveguide Handbook

Equivalent Circuits for Waveguide Discontinuities. The over-all description of the propagating modes is effected by representation of the input and output waveguides as transmission lines and by representation of the discontinuity as a four terminal lumped-constant circuit.

Inductive Obstacles of Large Thickness a Window formed by two obstacles 6 Window formed by one obstacle This curve should possess no regularity; its average deviation provides a measure of the average error in the “electrical” measurement. Foundations of Communications Policy Philip M. Table is a measure of the conductivity of the metal walls.


The Kirchhoff analysis of a symmetrical microwave structure can be effected on either an impedance or an admittance basis. It is evident from the figure that the e. T 2 though not the equivalent circuit depends on this choice.

In employing duality one should remember that an infinite admittance, or short circuit, becomes on the duality replacement an infinite impedance, or open circuit, and conversely.

Although the voltage V and current I suffice to characterize the behavior of a mode, it is evident that such a characterization is not unique. Transformation relations of this kind are generally important only in the case of the dominant mode and even then only when absolute impedance comparisons are necessary. In many cases the correct sign may be ascertained theoretically.

Full text of “Waveguide Handbook”

For simplicity, we shall consider only those discrete modes required for the representation of fields having no variation in the x wavegguide.

Although the principal concern of this chapter is to provide quantitative data for transmission-line computations in waveguides of different cross sections, the presentation includes the requisite mode information for the theoretical computation of the equivalent circuit parameters of waveguide discontinuities cf.

Figure is a symmetrical junction of one Sec. The field problems presented by the Asymmetrical Capaci- tive Window described in Sec. For each value of 7 given by Eqs. Because this basic material may be of great value to science and engineering, it seemed most important to publish it as soon as security permitted. Although the primary aim of this book is to present the equivalent- circuit parameters for a large number wavegukde microwave structures, a brief but coherent account of the fundamental concepts necessary for their proper utilization is included.

Such information can be portrayed in the usual type of flux plots only if the field lines are divergenceless on the given plane, the intensity of the field being then indicated by the density of the field lines. Field Representation in Nonuniform Radial Waveguides Affl Ag2 It is to be noted that the two distinct sets of transformation relations distinguished by the parentheses in the preceding sentences are dual to each other.


The line integral with respect to ds extends over the guide periphery, and the surface integral with respect to dS extends over the guide cross section. In the absence of geometrical structures imposing periodicity requirements on the field, the required modes form a continuous handnook of plane waves, each wave being character- Sec.

mwrcuvitz The approximation 16 agrees with Eq. In the reformulation of the field description as a network problem the choice of terminal planes is seen to be somewhat arbitrary.

Wendy Hui Kyong Chun. Structures with this planar symmetry may possess either E- or ff-plane symmetry, depending on the type and relative orientation of the propagating modes in the main and bandbook guides.

The introduction of voltages V m and currents I m on the terminal planes together with a Kirchhoff analysis on a node wavehuide i. At this point we shall state only that the e functions possess the same vector orthogonality properties as in Eq. Such regions may be classified as either uniform or nonuniform.

Rectangular to Circular Change in Cross Section. Thus in the case illustrated in Eq. In favor of the scattering description are the facts: The latter is obtained by taking the derivative with respect to n of the logarithm of both sides of Eq.

Unfortunately, it has not been possible to document ade- quately these sources in the present edition. The following conventions have been adhered to: Explicit representations of the Green’s function defined by Eqs.

The relations between the parameters a, 6, and c of the original and a’, V, and c’ of the transformed networks are given by Eqs. More accurate values can be obtained if a theoretical curve of D vs.

Circular Guide with Dielectric Cylinders