Abstract
In this paper an attempt has been made to find the aperture field distribution in a rectangular waveguide for non-sinusoidal, periodic excitations using Multiple Cavity Modeling Technique. The excitation functions, considered, are square, trapezoidal and clipped sine wave in nature. In the present analysis these time domain excitation functions have been represented in terms of a truncated Fourier series consisting of the fundamental frequency and its higher harmonics. Within the waveguide the fundamental frequency will give rise to a dominant mode excitation whereas the higher order modes will excite dominant as higher order modes. If the higher harmonics are assumed suppressed then the waveguide is subjected only to a dominant mode excitation. Results for dominant mode reflection coefficient (magnitude), VSWR and complex transmission coefficient have been computed and compared with theoretical data. The excellent agreement between them validates the analysis.
Highlights
Waveguide and waveguide based components are used since World War II and they are still continued to be in use
Some of them are the irises, septum and windows, filters, waveguide Tee-junctions, waveguide power dividers, ortho-modal couplers and multiplexers etc. In addition to these waveguide components apertures cut in a ground plane and slots cut along the broad wall or narrow wall are extensively used in array antennas due to their large power handling capability, generation of ultra low side lobes and excellent polarization characteristics
A methodology for the analysis of a waveguide under non-sinusoidal periodic excitation has been carried out and the aperture field distributions in the waveguide have been plotted for different excitation
Summary
Waveguide and waveguide based components are used since World War II and they are still continued to be in use. Very few amounts of works are available on transient analysis and non-sinusoidal periodic excitations of waveguide. In the same year an exact closed form expression for transient fields in homogeneously filled waveguides was presented by Dvorak [10]. A time domain theory of waveguide was presented by Geyi [12] Most of these analyses assume a pulse or impulse excitation. No attention was paid on the analysis of waveguide circuits under non-sinusoidal, periodic excitations like square wave, trapezoidal wave, clipped sine wave, triangular wave, saw tooth wave etc. Out of these the first three have huge technical significance in high power applications like radar. A methodology for the analysis of a waveguide under non-sinusoidal periodic excitation has been carried out and the aperture field distributions in the waveguide have been plotted for different excitation
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