大型阵列天线阻抗矩阵和散射矩阵的求解及应用

doi:10.3969/j.issn.1001-2400.2012.03.017

Abstract

Abstract:

The relationships among the radiation pattern, mutual impedance and scattering matrices of array antennas are derived. Based on the expressions, a novel approach is presented to calculate the mutual impedance and the scattering matrices of an array utilizing commercial simulation software HFSS. In addition, an efficient and accurate method is proposed to calculate and synthesize the radiation pattern of large finite arrays. In this method, the mutual impedance matrix of the large array is deduced from a small array ignoring the coupling beyond the small array size. Once the mutual impedance matrix is obtained, the radiation pattern of the large array can be computed using the derived equations. In order to assess the accuracy and efficiency of the proposed method, an example array of 16 microstrip patch antennas is optimized with the genetic algorithm (GA) to minimize the maximum sidelobe level of the radiation pattern. Calculated results agree well with those simulated by HFSS.

Key words: antenna array, mutual impedance matrix, scattering matrix, array antenna radiation pattern, pattern synthesis

CLC Number:

O441

ZHANG Shuai;GONG Shuxi;GUAN Ying;GONG Qi;LU Bao. Calculation and application of the mutual impedance and the scattering matrices of large finite arrays[J].J4, 2012, 39(3): 106-113.

References

［1］ Guo J L, Li J Y. Pattern Synthesis of Conformal Array Antenna in the Presence of Platform Using Differential Evolution Algorithm ［J］. IEEE Trans on Antennas Propagat, 2009, 57(9): 2615-2621.
［2］ Johnson J M, Rahmat-Samii Y. Genetic Algorithms and Method of Moments (GA/MoM) for the Design of Integrated Antennas ［J］. IEEE Trans on Antennas Propagat, 1999, 47(10): 1606-1614.
［3］ Jin N, Rahmat-Samii Y. Parallel Particle Swarm Optimization and Finite Difference Time-domain (PSO/FDTD) Algorithm for Multiband and Wide-band Patch Antenna Designs ［J］. IEEE Trans on Antennas Propagat, 2005, 53(11): 3459-3468.
［4］ Balanis C A. Antenna Theory ［M］. 2nd Ed. New York: John Wiley＆Sons, Inc, 2002.
［5］ Haupt R L. Thinned Arrays Using Genetic Algorithms ［J］. IEEE Trans on Antennas Propagat, 1994, 42(7): 993-999.
［6］张帅, 龚书喜, 路宝, 等. 一种提高稀布线阵优化布阵效率的方法［J］. 西安电子科技大学学报, 2010, 37(5): 888-892.
Zhang Shuai, Gong Shuxi, Lu Bao, et al. Method for Improving the Optimization Efficiency of Sparse Linear Arrays ［J］. Journal of Xidian University, 2010, 37(5): 888-892.
［7］ Comisso M, Vescovo R. Fast Iterative Method of Power Synthesis for Antenna Arrays ［J］. IEEE Trans on Antennas Propagat, 2009, 57(7): 1952-1962.
［8］ Kelly D F, Stutzman W L. Array Antenna Pattern Modeling Methods That Include Mutual Coupling Effects［J］. IEEE Trans on Antennas Propagat, 1993, 41(12): 1625-1632.
［9］ Kishk A A. Prediction of Large Array Characteristics from Small Array Parameters ［C］//Presented at the Eur Antennas Propagat Conf. Edinburgh: The Institution of Engineering and Technology, 2007: 1-5.
［10］ Karimkashi S, Kishk A A. Focused Microstrip Array Antenna Using a Dloph-Chebyshev Near-Field Design ［J］. IEEE Trans on Antennas Propagat, 2009, 57(12): 3813-3820.
［11］王子宇. 射频电路设计: 理论与应用［M］. 北京: 电子工业出版社, 2008.

[1]	SHI Tao,HAN Xuefeng,CHEN Wen. Receiver design scheme in high speed train scenarios [J]. Journal of Xidian University, 2020, 47(6): 30-36.
[2]	LIANG Shuang,SUN Geng,LIU Yanheng. Improved cuckoo search algorithm for optimizing the beam patterns of linear antenna arrays [J]. Journal of Xidian University, 2019, 46(1): 174-180.
[3]	LI Feng, WANG Ziyang, WANG Le, LI Rui, FENG Gang, YIN Yingzeng. Analysis of the miniaturization of the anti-jamming array antenna and its beamforming technology [J]. Journal of Xidian University, 2018, 45(6): 51-56.
[4]	ZHU Huijuan;ZHOU Jie;SHAO Genfu. Lotus leaf geometric channel modeling and MIMO multi-antenna system performance [J]. Journal of Xidian University, 2018, 45(1): 135-139+144.
[5]	GUO Bin;YANG Yuhong;XIN Gang;TANG Yanqun. Spread spectrum directional modulation method based on the irrelevantly switched antenna for physical layer security transmission [J]. Journal of Xidian University, 2017, 44(2): 145-150.
[6]	WANG Fan;GONG Shuxi;WANG Fuwei. Resistive FSS applied to the RCS reduction of array antennas [J]. Journal of Xidian University, 2016, 43(4): 81-85.
[7]	FENG Xueyong;YANG Lin;GONG Shuxi;WANG Jianxiao. Design of a plane-wave generator for base station antenna measurements [J]. J4, 2015, 42(3): 33-37.
[8]	LIU Yan;JIAO Yongchang;ZHANG Yaming;WANG Xinkuan. Application of the invasive weed optimization algorithm to the pattern synthesis of array antennas [J]. J4, 2014, 41(1): 29-33+86.
[9]	WANG Xinkuan;JIAO Yongchang;TAN Yanyan. Adaptive iteration Fourier technique applied for antenna arrays pattern synthesis [J]. J4, 2013, 40(4): 85-89+187.
[10]	YANG Tao;SU Tao;ZHANG Wang. Transmit beampattern synthesis and waveform design for 2-D wideband MIMO radar [J]. J4, 2013, 40(3): 180-187.
[11]	CHEN Jie;HUANG Youhuo;BAI Xiaoping;LIU Weixing. Realization of PSK using a microwave phase shifter [J]. J4, 2012, 39(5): 85-90.
[12]	LI Rui;SHI Xiaowei;XU Le;GU Xintao;LI Ping. Synthesis of a conformal antenna array using the competition differential evolution strategy [J]. J4, 2012, 39(3): 114-119.
[13]	WANG Wentao;WANG Fuwei;GONG Shuxi;WANG Xing. Array antenna pattern synthesis based on the implicit space mapping algorithm [J]. J4, 2012, 39(2): 159-163+199.
[14]	ZHANG Shuai;GONG Shu-xi;LU Bao;LING Jin;ZHA Feng-tao. Optimizing both radiation and scattering characteristics of the array antenna utilizing PSO [J]. J4, 2010, 37(4): 726-730.
[15]	ZHANG Fan;ZHANG Fu-shun;ZHAO Gang;LIN Chen. Pattern analysis and synthesis of the conformal antennas array [J]. J4, 2010, 37(3): 496-501.

Calculation and application of the mutual impedance and the scattering matrices of large finite arrays

PDF (PC)

Like

Knowledge

Cited

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 10