Title: Effective Media Model for Multilayer Dielectric with Periodic Metal Inclusion
Speaker: Zhao Teng
Abstract: Multilayer structures have extensive applications in modern electronic industry, from micron-scale semiconductor chips to radio frequency front-end and millimeter-wave systems. The multilayer dielectric structures with embedded metal are widely seen in packaging or printed circuit board (PCB) applications. The embedded metal will change the overall electromagnetic property of the multilayer structure. It is usually time consuming and memory intensive to perform full wave electromagnetic simulations of such structures using traditional numerical methods such as finite difference or finite element methods. The effective media model can simplify the problem and reduce the total computational cost.
An integral equation approach combining equivalence principle algorithm and connection scheme (EPACS) is developed to solve multilayer dielectric slabs with embedded periodic metal structures. The EPACS can handle doubly periodic structures with finite or semi-infinite number of layers. It avoids the sophisticated multilayered periodic Green’s function but only involves with the periodic Green’s function. Moreover, effective media model based on the same reflection and transmission coefficients are applied to retrieve the effective permittivity and permeability of the multilayer medium with periodic metal structures.
A PCB is designed, fabricated and tested to explore how the embedded periodic metals will affect the multilayer dielectric slabs. We utilize transmission lines (TMLs) with different lengths. Different approaches are used to analyze measurement data and determine the effective permittivity of the substrate. The experiment results agree well with the modeling results.