NOVEL COORDINATE SYSTEM AND ROTATION TRANSFORMATIONS FOR ANTENNA APPLICATIONS

被引：7

作者：

DUAN, DW

RAHMATSAMII, Y

机构：

[1] Department of Electrical Engineering, University of California, University of Los Angeles, Los Angeles, CA

来源：

ELECTROMAGNETICS | 1995年 / 15卷 / 01期

关键词：

D O I：

10.1080/02726349508908398

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

General coordinate system transformations and rotation transformations for antenna applications are presented in a novel coherent and unified fashion. In coordinate system transformations, the Cartesian transformation matrix (CTM) is used to relate the representations of a vector in two Cartesian coordinate systems. Useful CTMs such as the Cartesian-spherical transformation and the Eulerian transformation are formulated based on three elementary CTMs. In rotation transformations, the rotation transformation matrix (RTM) is used to describe the rotation of an object, which may be a point, a vector, a coordinate system, or any physical entity. The relationship between the representations of an RTM in different Cartesian coordinate systems are developed. Three examples: (i) Scanning dual-reflector antennas, (ii) Map generation for satellite antennas, and (iii) Coordinate systems for antenna measurement (EL-over-AZ and AZ-over-EL) are given to demonstrate the versatility of the combined applications of RTMs and CTMs in solving practical transformation problems.

引用

页码：17 / 40

页数：24

共 6 条

[1]

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[2]

Maral G., Bousquet M., Satellite Communications Systems, (1986)

[3]

Ott R.H., Vector Analysis and Satellite Footprints, IEEE Trans. Geosci. Remote Sensing, 28, 1, pp. 117-122, (1990)

[4]

(1970)

[5]

Rahmat-Samii Y., Useful Coordinate Transformations For Antenna Applications, IEEE Trans. Antennas Propagat, AP-27, 4, pp. 571-574, (1979)

[6]

Rahmat-Samii Y., (1988)

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