Radiation from a rectangular waveguide with infinite flange--Exact solution by the correlation matrix method
Radiation from a rectangular waveguide with infinite flange--Exact solution by the correlation matrix method
复制标题
无限凸缘矩形波导的辐射--相关矩阵法精确解
DOI：
10.1109/tap.1980.1142376
复制
发表时间：
1980
影响因子：
5.7
通讯作者：
A. Zaghloul
中科院分区：
文献类型：
--
作者：
R. Macphie;A. Zaghloul
A rectangular waveguide is terminated by an infinite conducting flange and radiates into half-space. Modal expansions of the TE and TM waveguide fields lead to Hermitian forms for the incident and reflected waveguide power ( P_{wg} = P_{wg}^{+} - P_{wg}^{-} ) in terms of the corresponding electric field mode amplitude vectors and a diagonal field admittance matrix [ Y ]. The power radiated from the aperture is expressed in terms of correlation functions of the aperture electric fields, and yields a Hermitian form for the radiated power P_{r} in terms of the electric mode amplitude vectors and a matrix derived from the field correlation functions-the correlation matrix. Applying the principle of conservation of complex power ( P_{wg} = P_{r} ) leads directly to a nonvariational expression for the scattering matrix [S] for the flanged termination. From [S] the effective TE_{10} load admittance Y_{L, 10} can be deduced. Numerical results for the latter are compared graphically with previous variational results. Also given are the farfield power patterns for two aperture sizes which are then compared with the traditional patterns due to the TE_{10} mode only.
A rectangular waveguide is terminated by an infinite conducting flange and radiates into half-space. Modal expansions of the TE and TM waveguide fields lead to Hermitian forms for the incident and reflected waveguide power ( P_{wg} = P_{wg}^{+} - P_{wg}^{-} ) in terms of the corresponding electric field mode amplitude vectors and a diagonal field admittance matrix [ Y ]. The power radiated from the aperture is expressed in terms of correlation functions of the aperture electric fields, and yields a Hermitian form for the radiated power P_{r} in terms of the electric mode amplitude vectors and a matrix derived from the field correlation functions-the correlation matrix. Applying the principle of conservation of complex power ( P_{wg} = P_{r} ) leads directly to a nonvariational expression for the scattering matrix [S] for the flanged termination. From [S] the effective TE_{10} load admittance Y_{L, 10} can be deduced. Numerical results for the latter are compared graphically with previous variational results. Also given are the farfield power patterns for two aperture sizes which are then compared with the traditional patterns due to the TE_{10} mode only.