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A contribution to the theory of probes in waveguides

机译：对波导探针理论的贡献

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An account is given of some of the difficulties which beset the calculation of the impedance of the finite-size probe in a waveguide. In the particular case of a probe completely spanning a rectangular guide and fed by a coaxial line, a solution is set up in which the line is represented by an arbitrary loading impedance terminating the probe. An integral equation for the current in the probe is solved by a Fourier series in the waveguide modes, and an approximate summation of the double series involved is achieved using Poisson's formula. An expression is derived for the probe impedance from which an equivalent circuit with determinate parameters is obtained. The quasi-static antenna solution is derived as a limiting case for small probe radius, and an interpretation is attempted of the physical significance of the individual terms in the expression for the inductance of an inductive post in waveguide. This is a particular case of the probe for which the solution is well known but for which the meaning of the formula is not too clear.
机译：考虑到一些困难，这些困难困扰了波导中有限尺寸探针的阻抗的计算。在探针完全跨越矩形导轨并由同轴线馈电的特定情况下，建立了一种解决方案，其中该线由端接探针的任意负载阻抗表示。探针中电流的积分方程通过波导模式下的傅立叶级数求解，并使用泊松公式对所涉及的双级数进行近似求和。推导了探头阻抗的表达式，从中可获得具有确定参数的等效电路。准静态天线解决方案是针对小探针半径的一种限制情况，并试图解释波导中感应柱的电感表达式中各个术语的物理意义。这是探针的一种特殊情况，其解决方案是众所周知的，但其分子式的含义不太清楚。

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