Abstract
The transverse magnetic (TM) radiation characteristics are investigated for a cylinder with N infinite axial slots of arbitrary opening size and location. The cylinder is a thin circular conductor and coated by an eccentric material. Fields are found by applying the boundary conditions to the cylindrical wave functions. The addition theorem of Bessel functions is used to obtain an infinite series solution in Fourier–Bessel series form. Results are computed by shrinking the generated infinite series to a finite number of terms and compared to other available data. Numerical results in graphical forms for different values are also developed and discussed for small eccentricities.
Highlights
The problem of field characteristics from slotted cylindrical structures is an important study in electromagnetic field theory and has been the focus of a number of earlier researches [1,2,3,4,5,6]
The transverse magnetic (TM) radiation characteristics are investigated for a cylinder with N infinite axial slots of arbitrary opening size and location
The addition theorem of Bessel functions is used to obtain an infinite series solution in Fourier-Bessel series form
Summary
The problem of field characteristics from slotted cylindrical structures is an important study in electromagnetic field theory and has been the focus of a number of earlier researches [1,2,3,4,5,6]. Previous investigations did not determine possible effects to radiations of N arbitrary sited slots with diverse opening sizes and when the conducting cylinder and the coating material are both eccentric. Hurd derived the radiation patterns of an axial slot in a dielectric coated circular cylinder and made some comparisons with experimental results in 1956 [3]. Wait and Mientka presented the fields produced by an arbitrary slot on a circular cylinder with a cocentric dielectric coating in 1957. In 2009, the transverse electric patterns are investigated for a cylinder with N axial slots of arbitrary opening size and position [5]. The transverse magnetic fields are considered for a dielectric-coated metallic-cylinder with two arbitrary axial slots in 2010 [6]
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