Design-tool for Rapid Thermal Processors for Optimal Trajectory Tracking
Authors:
Sung Je Kim; Young Man Cho
DOI:
10.1076/mcmd.9.1.1.16514
Publication Frequency:
6 issues per year
Published in:
Mathematical and Computer Modelling of Dynamical Systems,
Volume
9,
Issue
1
March
2003
, pages 1
- 24
Subjects:
Analysis - Mathematics;
Applied Mechanics;
Dynamical Control Systems;
Dynamical Systems;
Mathematical Modelling;
Mathematics & Statistics for Engineers;
Simulation & Modeling;
Formats available:
PDF
(English)
Previously published as:
Mathematical Modelling of Systems
(1381-2424)
until 1998
View Article:
View Article (PDF)
Abstract
It has become an irreversible trend in recent years that the semiconductor wafer fabrication requires shorter processing time, greater flexibility and lower capital cost. Rapid thermal processing (RTP) has demonstrated its potential to meet such requirements while becoming a key process for manufacturing advanced semiconductor devices. Ever decreasing feature sizes require extremely tightly controlled processing conditions, especially the temperature trajectory to be precisely followed across the wafer. This paper presents a systematic methodology for RTP chamber design, based on the 3-dimensional physics-based model of a generic RTP chamber. After experimentally validated, the physics-based model is reduced to a lower-order model without sacrificing its fidelity for computational efficiency. With a reduced-order model, optimization studies are performed to determine how small the deviation of the wafer temperature from the pre-specified trajectory can be made in a given design. The results of the optimization studies indicate the goodness of the given RTP design, unravel clues for design improvements, and may provide guidelines for control implementation.
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