Frequency-dependent closed-form expressions for inductance and resistance of a single interconnect on a silicon substrate

Journal of Physics D Applied Physics ◽

10.1088/0022-3727/35/7/102 ◽

2002 ◽

Vol 35 (7) ◽

pp. L18-L20

Author(s):

H Ymeri ◽

B Nauwelaers ◽

Karen Maex ◽

D De Roest ◽

S Vandenberghe

Keyword(s):

Closed Form ◽

Silicon Substrate ◽

Frequency Dependent

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New closed-form formula for frequency-dependent resistance and inductance of IC interconnects on silicon substrate

Journal of Micromechanics and Microengineering ◽

10.1088/0960-1317/11/3/319 ◽

2001 ◽

Vol 11 (3) ◽

pp. 283-286 ◽

Author(s):

Hasan Ymeri ◽

Bart Nauwelaers ◽

Karen Maex

Keyword(s):

Closed Form ◽

Silicon Substrate ◽

Frequency Dependent ◽

Closed Form Formula

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Accurate closed-form expressions for the frequency-dependent line parameters of on-chip interconnects on lossy silicon substrate

2001 IEEE MTT-S International Microwave Sympsoium Digest (Cat. No.01CH37157) ◽

10.1109/mwsym.2001.967245 ◽

2002 ◽

Author(s):

A. Weisshaar ◽

Hai Lan

Keyword(s):

Closed Form ◽

Silicon Substrate ◽

Frequency Dependent ◽

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Highly accurate closed form approximation for frequency-dependent line impedance of a lossy silicon substrate IC interconnect

Microelectronic Engineering ◽

10.1016/s0167-9317(01)00578-0 ◽

2002 ◽

Vol 60 (1-2) ◽

pp. 31-37

Author(s):

H Ymeri ◽

B Nauwelaers ◽

K Maex ◽

D De Roest ◽

M Stucchi

Keyword(s):

Closed Form ◽

Silicon Substrate ◽

Frequency Dependent ◽

Closed Form Approximation

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Accurate closed-form expressions for the frequency-dependent line parameters of coupled on-chip interconnects on silicon substrate

IEEE 10th Topical Meeting on Electrical Performance of Electronic Packaging (Cat No 01TH8565) EPEP-01 ◽

10.1109/epep.2001.967676 ◽

2002 ◽

Author(s):

H. Lan ◽

A. Luoh ◽

A. Weisshaar

Keyword(s):

Closed Form ◽

Silicon Substrate ◽

Frequency Dependent ◽

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Accurate closed-form expressions for the frequency-dependent line parameters of on-chip interconnects on lossy silicon substrate

IEEE Transactions on Advanced Packaging ◽

10.1109/tadvp.2002.803267 ◽

2002 ◽

Vol 25 (2) ◽

pp. 288-296 ◽

Author(s):

A. Weisshaar ◽

Hai Lan ◽

A. Luoh

Keyword(s):

Closed Form ◽

Silicon Substrate ◽

Frequency Dependent ◽

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Accurate frequency-dependent formula for series line impedance of microstrip on lossy silicon substrate

2001 International Symposium on Electron Devices for Microwave and Optoelectronic Applications. EDMO 2001 (Cat. No.01TH8567) ◽

10.1109/edmo.2001.974325 ◽

2002 ◽

Author(s):

H. Ymeri ◽

B. Nauwelaers ◽

K. Maex ◽

D. De Roest

Keyword(s):

Silicon Substrate ◽

Frequency Dependent

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Accurate and Closed-Form Spice Compatible Passive Macromodels for Distributed Interconnects with Frequency Dependent Parameters

2005 IEEE International Symposium on Circuits and Systems ◽

10.1109/iscas.2005.1465949 ◽

2005 ◽

Author(s):

N. Nakhla ◽

R. Achar ◽

M. Nakhla

Keyword(s):

Closed Form ◽

Frequency Dependent

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Closed-form formula for frequency dependent bonding pad characterization

IEEE MTT-S International Microwave Symposium Digest, 2003 ◽

10.1109/mwsym.2003.1212500 ◽

2003 ◽

Author(s):

Xiangyin Zeng ◽

M. Abdulla ◽

Qing-Lun Chen

Keyword(s):

Closed Form ◽

Frequency Dependent ◽

Closed Form Formula

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Assessment of New Relation for the Elastic Compliance of a Film-Substrate System

MRS Proceedings ◽

10.1557/proc-695-l10.10.1 ◽

2001 ◽

Vol 695 ◽

Author(s):

Andrei Rar ◽

H. Song ◽

G.M. Pharr

Keyword(s):

Finite Element ◽

Closed Form ◽

Silicate Glass ◽

Silicon Substrate ◽

Numerical Solutions ◽

Elastic Compliance ◽

Applicable Range ◽

Cylindrical Punch ◽

Film Substrate ◽

ABSTRACTA new closed-form relation for the elastic compliance of a film-substrate system indented by a flat cylindrical punch is presented. The relation is an extension of the work of Gao at al. [1] modified to increase the applicable range of modulus mismatch between the film and substrate. The accuracy of the relation is assessed by comparison to finite element simulations, other approximate numerical solutions, and nanoindentation experiments performed on a fluorinated silicate glass (FSG) film on a silicon substrate. The benefits and limitations of the relation are discussed.

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Closed-Form Formulas for Frequency-Dependent Per-Unit-Length Inductance and Resistance of Microstrip Transmission Lines That Provide Causal Response

IEEE Transactions on Electromagnetic Compatibility ◽

10.1109/temc.2014.2327052 ◽

2014 ◽

Vol 56 (6) ◽

pp. 1604-1612 ◽

Author(s):

Antonije R. Djordjevic ◽

Mirjana Stojilovic ◽

Tapan K. Sarkar

Keyword(s):

Closed Form ◽

Transmission Lines ◽

Unit Length ◽

Frequency Dependent ◽

Microstrip Transmission Lines

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