Finite element modeling of 3D interconnection structures

Jilin Tan; George Pan

doi:10.1109/ICMMT.1998.768448

Finite element modeling of 3D interconnection structures

Jilin Tan, George Pan

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Three dimensional interconnection structures are modeled by an edge based finite element method. The corresponding boundary conditions at the planes of incidence and transmittance for hybrid modes are derived. These conditions take into account both the transverse and longitudinal field components of the propagating signals. Employing these boundary conditions, in conjunction with the absorbing boundary conditions (ABC) and/or the boundary conditions of the first and third order, a 3D asymmetrical functional is implemented as a hybrid vector edge element method. Numerical examples are presented for air bridges, a through-hole via and a spiral inductor. The equivalent frequency dependent circuit parameters are then extracted from the field solutions. Laboratory measurements and data comparison with previous published results strongly support the newly developed theoretical work.

Original language	English (US)
Title of host publication	ICMMT 1998 - 1998 International Conference on Microwave and Millimeter Wave Technology, Proceedings
Editors	Fu-Jiang Liao
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	957-960
Number of pages	4
Volume	1998-August
ISBN (Electronic)	0780343085, 9780780343085
DOIs	https://doi.org/10.1109/ICMMT.1998.768448
State	Published - Jan 1 1998
Externally published	Yes
Event	1998 International Conference on Microwave and Millimeter Wave Technology, ICMMT 1998 - Beijing, China Duration: Aug 18 1998 → Aug 20 1998

Other

Other	1998 International Conference on Microwave and Millimeter Wave Technology, ICMMT 1998
Country/Territory	China
City	Beijing
Period	8/18/98 → 8/20/98

ASJC Scopus subject areas

Instrumentation
Computer Networks and Communications

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10.1109/ICMMT.1998.768448

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Finite element modeling of 3D interconnection structures. / Tan, Jilin; Pan, George.
ICMMT 1998 - 1998 International Conference on Microwave and Millimeter Wave Technology, Proceedings. ed. / Fu-Jiang Liao. Vol. 1998-August Institute of Electrical and Electronics Engineers Inc., 1998. p. 957-960 768448.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Tan, J & Pan, G 1998, Finite element modeling of 3D interconnection structures. in F-J Liao (ed.), ICMMT 1998 - 1998 International Conference on Microwave and Millimeter Wave Technology, Proceedings. vol. 1998-August, 768448, Institute of Electrical and Electronics Engineers Inc., pp. 957-960, 1998 International Conference on Microwave and Millimeter Wave Technology, ICMMT 1998, Beijing, China, 8/18/98. https://doi.org/10.1109/ICMMT.1998.768448

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abstract = "Three dimensional interconnection structures are modeled by an edge based finite element method. The corresponding boundary conditions at the planes of incidence and transmittance for hybrid modes are derived. These conditions take into account both the transverse and longitudinal field components of the propagating signals. Employing these boundary conditions, in conjunction with the absorbing boundary conditions (ABC) and/or the boundary conditions of the first and third order, a 3D asymmetrical functional is implemented as a hybrid vector edge element method. Numerical examples are presented for air bridges, a through-hole via and a spiral inductor. The equivalent frequency dependent circuit parameters are then extracted from the field solutions. Laboratory measurements and data comparison with previous published results strongly support the newly developed theoretical work.",

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AB - Three dimensional interconnection structures are modeled by an edge based finite element method. The corresponding boundary conditions at the planes of incidence and transmittance for hybrid modes are derived. These conditions take into account both the transverse and longitudinal field components of the propagating signals. Employing these boundary conditions, in conjunction with the absorbing boundary conditions (ABC) and/or the boundary conditions of the first and third order, a 3D asymmetrical functional is implemented as a hybrid vector edge element method. Numerical examples are presented for air bridges, a through-hole via and a spiral inductor. The equivalent frequency dependent circuit parameters are then extracted from the field solutions. Laboratory measurements and data comparison with previous published results strongly support the newly developed theoretical work.

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Y2 - 18 August 1998 through 20 August 1998

ER -

Finite element modeling of 3D interconnection structures

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