Analysis of large finite periodic structures using infinite periodicity methods

Summary, in English

We present a method for studying large finite periodic structures using soft-

ware developed for infinite periodic structures. The method is based on the

Floquet-Bloch transformation, which splits the spatial description into one

microscopic spatial variable inside the unit cell, and one macroscopic wave

vector describing the variations on a scale encompassing many unit cells. The

resulting algorithm is iterative, and solves an infinite periodic problem in each

step, where the sources have been filtered through a windowing function. The

computational cost for the iterations is negligible compared to computing the

impedance matrices for the infinite periodic problems, and it is shown that

the algorithm converges if the periodic structure is large enough.

• Author: Daniel Sjöberg
• Department/s: Department of Electrical and Information Technology
• Publishing year: 2006
• Language: English
• Publication/Series: Technical Report LUTEDX/(TEAT-7143)/1-22/(2006)
• Full text: - 543 kB; Download statistics
• Document type: Report
• Publisher: [Publisher information missing]
• Topic: Electrical Engineering, Electronic Engineering, Information Engineering
• Status: Published
• Report number: TEAT-7143
• Research group: Electromagnetic theory