Advanced Electromagnetic Numerical Modeling Techniques for Various Periodic and Quasi-Periodic Systems

Date

2014-12

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Abstract

This dissertation is mainly concerned with several advanced electromagnetic modeling techniques for practical complex systems, which involve periodic analyses. The focus is to reveal the physics of the electromagnetic wave interaction with the complex structures, and also to arrive at improved computational algorithms.

This dissertation consists of three self-contained parts, each discussing one modeling technique. Examples presented in this dissertation include (a) an analysis of conductor surface-roughness effects, (b) a novel model for vertical interconnects (vias) and (c) a leaky-wave study of a Fabry-Perot resonant cavity antenna.

The first part investigates conductor surface roughness effects for stripline. An equivalent rough-surface-impedance is extracted using a periodic full-wave analysis and is then used for the modification of the transmission line per-unit-length parameter.

The second part proposes a semi-analytical analysis for massively-coupled vias with arbitrarily-shaped antipads, based on the reciprocity theorem. The use of reciprocity yields simple design formulas and is seen to greatly improve the computational efficiency, due to the fast-converging mode-matching calculation.

The third part presents a leaky-wave study of a Fabry-Perot cavity antenna made from a patch array. The patch current densities are calculated using the array scanning method. Based on this, a "leaky-wave current" is defined and calculated using residue integration. In addition, the radiation properties of a large finite-size array (truncation effects) are evaluated.

All three proposed models are verified by full-wave simulations and/or measurements. Numerical results prove the effectiveness and accuracy of these models.

Description

Keywords

Electromagnetic modeling, Fabry-Pérot antenna, Leaky wave, Numerical methods, Surface roughness, Via modeling

Citation

Portions of this document appear in: Guo, Xichen, David R. Jackson, Marina Y. Koledintseva, Scott Hinaga, James L. Drewniak, and Ji Chen. "An analysis of conductor surface roughness effects on signal propagation for stripline interconnects." IEEE transactions on electromagnetic compatibility 56, no. 3 (2014): 707-714. And in: Guo, Xichen, David R. Jackson, and Ji Chen. "An analysis of copper surface roughness effects on signal propagation in PCB traces." In 2013 Texas Symposium on Wireless and Microwave Circuits and Systems (WMCS), pp. 1-4. IEEE, 2013. And in: Guo, Xichen, Ji Chen, David R. Jackson, Marina Y. Koledintseva, James Drewniak, and Christopher Pan. "A Practical Approach to Analyze Copper Surface Roughness Effects with Applications to Stripline Structures." In International Symposium on Microelectronics, vol. 2012, no. 1, pp. 001068-001072. International Microelectronics Assembly and Packaging Society, 2012. And in: Guo, Xichen, David R. Jackson, and Ji Chen. "A Semianalytical Model for Vias With Arbitrarily Shaped Antipads Based on the Reciprocity Theorem." IEEE Transactions on Microwave Theory and Techniques 62, no. 12 (2014): 3239-3248. And in: Guo, Xichen, David R. Jackson, and Ji Chen. "A semi-analytical model for dense via structures with shared antipad configurations." In 2014 IEEE MTT-S International Microwave Symposium (IMS2014), pp. 1-3. IEEE, 2014. And in: Guo, Xichen, David R. Jackson, and Ji Chen. "Fast electromagnetic modeling of massively coupled vias in 3-D interconnects." In 2014 United States National Committee of URSI National Radio Science Meeting (USNC-URSI NRSM), pp. 1-1. IEEE, 2014. And in: Guo, Xichen, David R. Jackson, Ji Chen, Filippo Capolino, and Donald R. Wilton. "Leaky-wave analysis of Fabry-Pérot resonant cavity antennas." (2013).