Analytical and Hybrid Methods in the Theory of Slot-Hole Coupling of Electrodynamic Volumes

The 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.

Analytical and Hybrid Methods in the Theory of Slot-hole Coupling of Electrodynamic Volumes arose from the original research results, never before published, first obtained by the authors at Karazin Kharkov National University, Ukraine.

Impetuous development of technical opportunities of PC for the last twenty years, and a powerful set of numerical methods available in the arsenals of investigators have forced the working-outs connected with the search of analytical solutions of radiophysical problems backward.  However, at present, the fact is evident that optimal use of computer calculations should be based on application of analytical methods of boundary problems solution.  These methods allow to increase PC use efficiency and also expand their calculation abilities to solve complex electrodynamic problems.

The authors’ experience in the development of analytical methods to solve the problems of diffraction of waveguide electromagnetic waves on slot coupling holes serves as a useful tool to readers interested in both the field of theoretical electrodynamics and the field of practical workings-out of multi-functional waveguide devices and systems using slot-coupling elements.

Topics covered in this book are:

• problem formulation and initial integral equations
• the averaging method
• analytical solution of the integral equations for a current
• induced magnetomotive forces method for analysis of coupling slots in waveguides
• resonant iris with the slot arbitrary oriented in a rectangular waveguide
• stepped junction of the two rectangular waveguides with the impedance slotted iris

This book is intended for academic and industrial researchers involved in Microwave Techniques, as well as advanced students studying Radiophysics andApplied Electrodynamics.