Analytical Solution of the Problem of Synthesis of Three-Link Stepped Chebyshev’s Microwave Filter

IF 0.8 4区物理与天体物理 Q4 PHYSICS, APPLIED

Technical Physics Letters Pub Date : 2024-08-29 DOI:10.1134/s1063785023180025

A. S. Aref’ev

引用次数: 0

Abstract

The problem of synthesis of the three-link stepped Chebyshev’s microwave filter is reduced to two independent fourth-degree equations, including a single link wave impedance as unknown. The solution of Descartes—Euler is applied to these equations. It is proved that, in case wave impedances of extreme links are equal, the problem of the filter synthesis has two solutions. Identical phase-frequency responses correspond to these solutions. It is proved that for each link a product of the wave impedances relating to these solutions is equal to a square of the wave impedance of the transmission line including the filter.

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三链路阶跃切比雪夫微波滤波器合成问题的解析解

摘要将三链路阶跃切比雪夫微波滤波器的合成问题简化为两个独立的四等分方程，其中单链路波阻抗为未知数。笛卡尔-欧拉解法适用于这些方程。结果证明，在极端链路波阻抗相等的情况下，滤波器合成问题有两个解。相同的相频响应与这些解相对应。对于每个链路，与这些解决方案相关的波阻抗乘积等于包括滤波器在内的传输线波阻抗的平方。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Technical Physics Letters 物理-物理：应用

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

2-4 weeks

期刊介绍： Technical Physics Letters is a companion journal to Technical Physics and offers rapid publication of developments in theoretical and experimental physics with potential technological applications. Recent emphasis has included many papers on gas lasers and on lasing in semiconductors, as well as many reports on high Tc superconductivity. The excellent coverage of plasma physics seen in the parent journal, Technical Physics, is also present here with quick communication of developments in theoretical and experimental work in all fields with probable technical applications. Topics covered are basic and applied physics; plasma physics; solid state physics; physical electronics; accelerators; microwave electron devices; holography.