EXTREMELY GENERALIZED PLANAR SMITH CHART BASED ON MOBIUS TRANSFORMATIONS

Yongle Wu; Yuanan Liu; Haiyu Huang

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EXTREMELY GENERALIZED PLANAR SMITH CHART BASED ON MOBIUS TRANSFORMATIONS

机译：基于Mobius变换的极广义平面Smith图表

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In this article, extremely generalized planar Smith chart (EGPSC) is proposed based on Mobius transformations (MTs). And the rigid mathematical circles equations of this proposed EGPSC are obtained. The EGPSC includes omnipotent Smith chart (OSC) and other different kinds of generalized Smith charts which have been reported recently. Finally, according to the rigid mathematical equations, the corresponding characteristics of EGPSC are comprehensively analyzed and illustrated through numerical simulations.

机译：在本文中，基于Mobius变换（MT）提出了极广义的平面史密斯圆图（EGPSC）。得到了该EGPSC的刚性数学圆方程。 EGPSC包括全能史密斯圆图（OSC）和最近已报道的其他不同种类的广义史密斯圆图。最后，根据刚性数学方程，通过数值模拟对EGPSC的相应特性进行了综合分析和说明。

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《Microwave and optical technology letters》 |2009年第5期|共4页
作者
Yongle Wu; Yuanan Liu; Haiyu Huang;
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原文格式 PDF
正文语种 eng
中图分类光学;
关键词
Mobius transformations; Generalized smith charts; Omnipotent smith chart;

机译：Mobius变换;广义史密斯圆图;全能史密斯圆图;

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专利

1. EXTREMELY GENERALIZED PLANAR SMITH CHART BASED ON MOBIUS TRANSFORMATIONS [J] . Yongle Wu, Yuanan Liu, Haiyu Huang Microwave and optical technology letters . 2009,第5期

机译：基于Mobius变换的极广义平面Smith图表
2. MOBIUS TRANSFORMATIONS IN QUANTUM AMPLITUDE AMPLIFICATION WITH GENERALIZED PHASES [J] . CESAR BAUTISTA-RAMOS, NORA CASTILLO-TEPOX International journal of quantum information . 2011,第6期

机译：具有广义相位的量子放大中的移动变换
3. Generalized barycentric subdivision of a triangle and semigroups of Mobius transformations [J] . Ordin AA. Russian mathematical surveys . 2000,第3期

机译：三角形和Mobius变换的半群的广义重心细分
4. On the sum of the reflection and transmission coefficient on the Smith chart and 3D Smith chart [C] . A. A. Muller, E. Sanabria-Codesal, A. Moldoveanu, Asia-Pacific Microwave Conference . 2015

机译：关于史密斯图和3D史密斯图中的反射和传输系数的总和
5. The Geometry of Mobius Transformations and an Introduction to Riemann Surfaces [D] . Goulette, David. 2017

机译：Mobius变换的几何和Riemann曲面的介绍
6. A New Approach for Combining Time-of-Flight and RGB Cameras Based on Depth-Dependent Planar Projective Transformations [O] . Carlota Salinas, Roemi Fernández, Héctor Montes, 2015

机译：基于深度相关平面投影变换的飞行时间与RGB相机组合的新方法
7. A LOGARITHMIC VERSION OF THE COMPLEX GENERALIZED SMITH CHART [O] . Pablo Vidal-Garcia, Emilio Gago-Ribas 2017

机译：复杂普遍的史密斯图的对数版本

EXTREMELY GENERALIZED PLANAR SMITH CHART BASED ON MOBIUS TRANSFORMATIONS

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