Analytical and Hybrid Methods in the Theory of Slot-Hole Coupling of Electrodynamic VolumesThe rapid and impressive results obtained through the application of numerical methods of analysis to electrodynamics created the rather false impression (es- cially to inexperienced engineers) that all problems were solved long ago or that some of them were not solved because one lacked suf?cient time. However, it is suf?cient to formulate these problems clearly, to give the task to a programmer to create the corresponding program, and to let a computer “think. ” It is only left for an engineer to make the corresponding plots and to explain calculation results if the latter do not agree with existing physical notions. However, de?nite conf- mity to natural laws starts inevitably to appear while realizing this sequence of steps: the problem is prepared for calculations more thoroughly—the probability to obtain the correct answer is higher, and the obtained information is richer and more interesting—the calculated algorithm is simpler; and as expenditure of calculation time is less, correspondingly, the problems to solve effectively are more complex. Theproblemformulationisnotonlycompilationofinitialequationsandanumerical algorithm. It is necessary to foresee a qualitative character of the obtained results and expected order of values, to reveal the peculiarities of the searched solution, complicating its numerical realization and, as a result, choosing the known solution algorithm or working out a new one. If this work has not been done properly, then unexpected anomalies may appear during the numerical calculation process, and the results can be the basis for the most sensational “discoveries. |
Contents
| 1 | |
to 2 Problem Formulation and Initial Integral Equations3pt Averaging Method | 27 |
to 3 Analytical Solution of the Integral Equations for the Current by the Averaging Method | 41 |
to 4 Induced Magnetomotive Forces Method for Analysis3pt of Coupling Slots in Waveguides | 51 |
to 5 Resonant Iris with the Slot Arbitrary Oriented3pt in a Rectangular Waveguide | 71 |
to 6 Stepped Junction of the Two Rectangular Waveguides with the Impedance Slotted Iris | 83 |
to 7 Coupling of Some Different Electromagnetic0ptVolumes via Narrow Slots | 107 |
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Common terms and phrases
amplitude antenna approximation asymptotic averaging method boundary conditions boundary problems calculations CGS system common broad wall corresponding coskL coupling coefficient dependences cross section current distribution curves defined electric Electrodynamic Volumes electromagnetic field equations system excitation expressions formula grad div Green's functions half-space IEEE Trans impedance surface impressed sources induced magnetomotive forces infinite integral equation integral-differential equations linear longitudinal slots loss power magnetic current magnetic field magnetodielectric layer magnetomotive forces matrix Nesterenko numerical obtained perfectly conducting permittivity plane radiation coefficient dependences ratios reflection coefficient region semi-infinite rectangular waveguide SLAE slot iris slot length slot own field slots system small parameter solution Springer Science+Business Media surface impedance tangential components values vector potentials wave waveguide coupling waveguide section wavelength Zin,ext Απ πι ΣΣ