İç silindiri eksenel doğrultuda sonsuza uzayan dış ıletkeni ise yarı sonsuz eşseksenli dairesel dalga kılavuzundan tem modunun ışıması / TEM Wave Radiation from a Semi-infinite Coaxial Waveguide with an Infinitely Extended Inner Cylinder

Öz

Bu çalışmada yarı sonsuz dış silindirin sonsuz ince ve mükemmel iletken, eksenel doğrultuda sonsuza uzanan iç silindirin de iki parçalı, yani bir yarısının mükemmel iletken diğer yarısının ise impedans sınır koşulu ile modellendiği durumda tem modunun dalga kılavuzunun ağzından ışınım wiener-hopf tekniği kullanılarak incelenmiştir. Dalga kılavuzunun iç ve dış silindirlerinin yarıçapları ile empedansın saçılan alana etkileri grafik olarak incelenmiştir.

ABSTRACT

An open ended coaxial waveguide formed by a perfectly conducting semi infinite outer cylinder and a center cylinder extending to infinity in the forward direction whose left part is perfectly conducting while the right part is characterized by a constant surface im- pedance is considered in the case of T EM wave excitation. By using the Fourier transform technique, the related boundary value probslem is formulated as a modified WienerHopf equation. The solution involve three set of infinitely many unknown expansion coefficients satisfying three infinite system of algebraic equations. The approximate solution is ob- tained numerically and some graphics are displayed for different values of the geometrical and physical parameters of the radiating system.

Anahtar Kelimeler

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Kaynakça

1. Marcuvitz, N.: 'Waveguide Handbook' Sect. 4.15, New York, McGraw-Hill, 1951,
2. Papadopoulos, V.M.: 'Wave propagation in a coaxial system', Q. Appl. Math., 17, pp. 423-436, 1960
3. Wu, T.T.: 'Input admittance of infinitely long dipole antennas driven from coaxial lines', . Math. Phys. 3, pp. 1298-1301, 1962
4. Andersen, J.B.: 'Metallic and Dielectric Antennas' Chap.2. Polyteknisk Forlag, Lyngby, Denmark, 1970
5. Bird, T.S.: T E11 mode excitation of flanged circular coaxial waveguides with an extended centre conductor', IEEE Trans. Antennas and Propagat., AP 35, pp.1358 - 1366, 1987
6. Bird, T.S.: Exact solution of open-ended coaxial waveguide with centre conductor of infinite extent and applications, IEE Proceedings, Vol. 134, Pt. H, No. 5, 1987
7. Sneddon, I. H., The Use of Integral Transforms, Mc Graw Hill, NewYork, 1972
8. Mittra, R., and S.W. Lee, Analytical Techniques in the Theory of Guided Waves, McMillan, New York, 1971