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Finally, the valuable editorial assistance, planning, and criticism of H. The dependence of the characteristic admittance Y and mode constant k of an. On substitution of Eq.
The diagonal repre- sentation of K z — z’ given in Eq. By means of Eqs.
Full text of “Waveguide Handbook”
This modification results in the addition of z-dependent “generator” voltage and current terms to the right-hand members of Eqs. Hhandbook functions Se m r ,x and So m rj,x are even and odd angular Mathieu functions.
This expectation is essentially correct but unnecessar- ily complicated. In addition to the relation between the relative admittances wafeguide the two points z and z the relation between the frequency derivatives of the relative admittances is of importance. Marcuitz electrical error in the standing-wave measurements is to be dis- tinguished from the “mechanical” error in the measurement of distance to the terminal planes.
The tangential and transverse components of the magnetic field of an 2? Because of the transmission-line behavior of the mode amplitudes it is suggestive to define the amplitudes that measure the transverse electric and magnetic field intensities of this dominant mode as voltage and current, respectively.
As is to be expected, the presenta- tion of the results of these developments involves the work of many individuals both in this country and abroad, as well magcuvitz much material which is now more or less standard in mathematical and engineering literature.
The wxveguide 16 above agrees with Eq. Symmetrical struc- tures are characterized by the existence of two or more terminal planes looking into any one of which the structure appears electrically identical. Several modifications resulting from the fact that y is real and Z is imaginary have already been discussed in Sec.
For example, the placement of arbitrary but fixed output impedances at N — 2 terminals reduces the over-all network to a two-terminal-pair network, the parameters of which can be readily measured.
For example, the fundamental input-output impedance relation for wavegiide length y — x of the dominant ff-type radial line is obtained from Eq.
Equations a and are seen to be representations in terms of modes transverse to the z- and y-axes, handnook. Aperture Coupling of Coaxial Guides In addition to J. Thus in the case illustrated in Eq. For use as waveguide windows or coax beads, cable waveguidw. In this section two distinctive ways of describing the electrical behavior on a trans- mission line will be sketched: The quantitative description of the transmission lines requires the indication hwndbook their characteristic impedance and propagation wavelength; the description of the four-terminal circuit requires, in general, the specification of three circuit parameters and the locations of the input and output terminal planes.
According to the mode in question the wave amplitudes may be either propagating or attenuating along the transmission direction. Duality in this case implies that in Eqs.
A judicious choice of a trial field is thus capable of giving reasonably correct values of susceptance without the necessity of solving the integral equation The determination of distance invariant representations of this type jandbook now be discussed.
A knowledge of the values of the equivalent network parameters is a necessary prerequisite to quantitative calcula- tions. In the various sections of this chapter a number of basic four-terminal waveguide structures will be handbool at specified terminal planes by a four-terminal electrical network. As noted in previous sections such field or, equivalently, voltage-current discontinuities can be schematically represented by means of a lumped- constant equivalent circuit.
If the dividing wall in the.
However, as the width of the rectangular guide becomes infinite the corresponding set of modes assumes both a discrete and continuous character; the mode index n characteristic of the mode variation along the finite y dimension is dis- crete, whereas the index m characteristic of the variation along the infinite x dimension becomes continuous. Examples of uniform regions are provided by regions cylindrical about the symmetry direction and having planar cross sections with rec- tangular, circular, etc.
In the following the over-all parameters of a number of composite structures will be derived to illustrate both the use and the results of such network analyses.
Pickering et al, of Wwaveguide Institute of Technology, and of C.
Indirect contributions were made by H.