Floquet mode phenomena over 1-D infinite array illuminated by a CSB for reflectarray applications

Abstract

For reflectarray antenna applications, radiation field of the one-dimensional infinite array which is illuminated by a complex source beam (CSB) is analyzed in this paper. The CSB is an excellent basis function to expand any slowly varying radiation field of reflectarray’s feed. By analytically continuing the source which is used to illuminate reflectarray from real space to complex space, CSB is generated simply. By adopting Poisson transformation, the slowly convergent superposition of individual radiation field from reflectarray is transformed to terms of Floquet modes. Asymptotic evaluation technique is utilized to calculate the Floquet mode integral in closed form. The propagation characteristic of Floquet mode follows the geometric optic ray theory in complex space. Numerical results are presented to demonstrate this approach.

Keywords:

• complex source beam
• reflectarray antenna
• Poisson transformation
• Floquet mode

Acknowledgement

The author should give great thanks to Prof. Hsi-Tseng Chou for his suggestion to this work.

Additional information

Funding

This work is supported by the Natural Science Foundation of China [grant number 61001029], [grant number 11176007]; the Fundamental Research Funds for the Central Universities [grant number ZYGX2010X005]; the Integrated electronic systems technology fund of the ministry of education key laboratory open subject, and the program for international S&T cooperation projects of Sichuan China [grant number 2012HH0026].