Multi-scale thermal modeling of
glass interposer for mobile
electronics application
Sangbeom Cho
Woodruff School of Mechanical Engineering, Georgia Institute of Technology,
Atlanta, Georgia, USA
Venky Sundaram and Rao Tummala
3-D Systems Packaging Research Center, Georgia Institute of Technology,
Atlanta, Georgia, USA, and
Yogendra Joshi
Woodruff School of Mechanical Engineering, Georgia Institute of Technology,
Atlanta, Georgia, USA
Abstract
Purpose – The functionality of personal mobile electronics continues to increase, in turn driving the
demand for higher logic-to-memory bandwidth. However, the number of inputs/outputs supported by
the current packaging technology is limited by the smallest achievable electrical line spacing, and the
associated noise performance. Also, a growing trend in mobile systems is for the memory chips to be
stacked to address the growing demand for memory bandwidth, which in turn gives rise to heat removal
challenges. The glass interposer substrate is a promising packaging technology to address these
emerging demands, because of its many advantages over the traditional organic substrate technology.
However, glass has a fundamental limitation, namely low thermal conductivity (~1 W/m K). The purpose
of this paper is to quantify the thermal performance of glass interposer-based electronic packages by
solving a multi-scale heat transfer problem for an interposer structure. Also, this paper studies the
possible improvement in thermal performance by integrating a fluidic heat spreader or vapor chamber
within the interposer.
Design/methodology/approach – This paper illustrates the multi-scale modeling approach applied
for different components of the interposer, including Through Package Vias (TPVs) and copper traces.
For geometrically intricate and repeating structures, such as interconnects and TPVs, the unit cell
effective thermal conductivity approach was used. For non-repeating patterns, such as copper traces in
redistribution layer, CAD drawing-based thermal resistance network analysis was used. At the end,
the thermal performance of vapor chamber integrated within a glass interposer was estimated by
using an enhanced effective thermal conductivity, calculated from the published thermal resistance
data, in conjunction with the analytical expression for thermal resistance for a given geometry of the
vapor chamber.
Findings – The limitations arising from the low thermal conductivity of glass can be addressed by
using copper structures and vapor chamber technology.
Originality/value – A few reports can be found on thermal performance of glass interposers.
However thermal characteristics of glass interposer with advanced cooling technology have not
been reported.
Keywords Multi-scale, Thermal modelling, Interposer, Vapour chamber
Paper type Research paper
International Journal of Numerical
Methods for Heat & Fluid Flow
Vol. 26 No. 3/4, 2016
pp. 1157-1171
© Emerald Group Publishing Limited
0961-5539
DOI 10.1108/HFF-09-2015-0378
Received 16 September 2015
Revised 13 January 2016
Accepted 13 January 2016
The current issue and full text archive of this journal is available on Emerald Insight at:
www.emeraldinsight.com/0961-5539.htm
This research was supported by the Glass and Silicon Interposer Industry Consortium at the
Georgia Tech 3-D Systems Packaging Research Center.
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Multi-scale
thermal
modeling
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