Using Multi Way PCA (MPCA) for Advanced Monitoring and Diagnosis for Plasma Processing based on Optical Emission Spectroscopy
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1 Page 1 Using Multi Way PCA (MPCA) for Advanced Monitoring and Diagnosis for Plasma Processing based on Optical Emission Spectroscopy Fraunhofer Infineon Technologies Dresden Infineon Technologies München
2 Acknowledgement The authors of this presentation would like to thank Page 2 Siegfried Bernhard Lars Christoph Barbara Schmidt Infineon Technologies Dresden
3 Outline Page 3 Introduction - APC in high volume production Hardware integration and software structure Data reduction by PCA Experiments Contact etch at AMAT MxP+ Poly etch at AMAT DPS Summary and outlook
4 APC - offline analysis and real time process control including alarms Tool Parameters Process Parameters Real Time Monitoring Online Alarm Product Parameters Logistic Data (Wafer, Recipe) Data Base Offline Analysis Model Page 4 APC in high volume production
5 Data reduction an essential need for APC in high volume production APC in high volume production creates large amounts of data Data reduction is an essential need for off line analysis and real time process monitoring Methods for data reduction: Measurement techniques based on physical models Calculation of statistical key numbers Use of complex process parameters Model based data analysis Page 5 APC in high volume production
6 Features of Hamamatsu MPM spectrometer Spectral range: 2-95 nm Resolution: < 2 nm CCD line channels: 124 Connection to Host PC via TCP-IP, RS 232 Page 6 Internal data processing for endpoint detection; up to 1 endpoint scrip s are available Digital / analog port s for connection to tool Hardware integration and software structure
7 Integration of Hamamatsu MPM spectrometer start / stop spectra application software tool endpoint interface recipe process step lot number winsock protocol FAB-LAN Plasma Equipment SECS TICS passthrough server SECS Equipment Manager Tool interface for stand alone endpoint detection Interface for logistic data e.g., lot and wafer number, recipe, step number Page 7 Hardware integration and software structure
8 Software solution developed by FAB LAN spectral data from MPM single spectrum analysis multiple spectrum analysis measurement component process database model database start /stop measurement endpoint synthesis tool on-line monitoring tool Matlab Server A p p l i c a t i o n Database oriented spectra storage and SQL- based data access for: - Data visualization - Data analysis - Endpoint synthesis - Validation of endpoint detection algorithms Page 8 Hardware integration and software structure
9 Data reduction by key number calculation with PCA Simple key number extraction: mean, standard deviation, max, min,... Extraction of key numbers using signal decomposition: Tschebyscheff functions Adjusted signal base (PCA) Multivariate key number extraction -- Multi Way PCA Adaptation of a nonlinear parametric signal model Compromise between efficiency and effort / a-priori knowledge Page 9 Data reduction by PCA
10 Principle of PCA Data cube Data cube containing spectra Vertical and horizontal cut through Data cube Λ t n R λ wavelength λ etch time t wafer 1... n wavelength λ Optical spectra visualized as a Data cube Optical emission spectroscopy creates very large amounts of data! time Page 1 Data reduction by PCA
11 Principle of PCA Matrix calculation Split of the original data matrix into orthogonal pattern u i and orthogonal scores m i : X = M T U Scores represent the weight of the corresponding pattern in the original data sample = i m i T u i original data: X scores: m i base pattern: u i x 1 5 m m 21 m 31 m 19 m29 m wavelength Page 11 Data reduction by PCA
12 Application of PCA on DRAM contact etch at Applied Materials MXP+ chamber Contact etch at Applied Materials MxP+ chamber Standard oxide etch chemistry, CF 4, CHF 3, Ar Observation of 5 wet clean cycles (WC), about 4 wafers Simple process mix, two different recipes for two high volume DRAM products mainly Step Product 1 Product 2 Descum -- N2 / O2 descum Main etch 1 BPSG etch BPSG etch Main etch 2 -- Nitride etch Page 12 Contact etch in AMAT MxP+
13 PCA results obtained on DRAM contact etch at Applied Materials MXP+ chamber Matrix X: mean spectra of 4 wafers of 5 wet clean cycles (WC) Patterns and scores 1 st to 3 rd order of WC x WC 2 WC 2 WC 3 WC WC 5.2 norm. Intensität st order Page 13 Intensity [arb. units] stacked mean spectra of 4 wafers wavelength [nm] PCA norm. Intensität Intensity [arb. units] norm. Intensität wavelength [nm] wavelength [nm] 2 nd order 3 rd order WC 2 WC wavelength [nm] wavelength [nm] scores [counts] x 14 1 st order WC 2 WC 3 WC 4 WC 5 2 nd order rd order wafer Contact etch in AMAT MxP+ WC 2 WC 3 WC 4 WC 5
14 PCA results obtained on contact etch at Applied Materials MXP+ chamber, cont. CF 4, CHF 3, Ar chemistry, two main DRAM products Scores of 2 st order of the first observed at wet clean cycle 1 scores [counts] scores of 2 st order vs. rf hours product 3 one point one wafer rf hours [h] product 2 product 1 Product 1: high polymerizing Product 2: low polymerizing Scores of 2 st order decrease during WC1, caused by: - Increasing light absorption at polymer layer on the recess side window - And real process drift caused by polymer on chamber wall Product dependent monitoring of chamber condition Page 14 Contact etch in AMAT MxP+
15 Multi-Way Principle Component Analysis Λ t n R λ etch time t wavelength λ wafer 1... n i j for n M(i, j,n) = 1,...,N u ( λ)v (t) i j One way PCA : use of one mean spectrum per wafer Multi Way PCA: Calculation of orthogonal wave pattern u i and orthogonal base time signals v i by unfolding the original data cube in time and wave direction Page 15 Data reduction by Multi Way PCA
16 Some examples of key numbers obtained by Multi Way PCA on contact etch at AMAT MxP+ extracted basic time signals v j v 1 v v resulting key numbers vs. wafer Page 16 extracted basic wave pattern u i u 2 u 3 u 4 u wavelength [nm] scores of key number u i v j [counts] wafer Contact etch in AMAT MxP+
17 Interpretation of key numbers u i ;v j Significant signatures up to 1 th 2 th order of u i and v j, max. about key numbers Significant key numbers limited by: increasing order decreasing information content redundant signatures PCA = mathematical algorithm, no physical or technological input Advantage: universal, application to any kind of data possible Disadvantage: no clear physical meaning of these key numbers Difficult interpretation Interpretation of key numbers with help of: Physical, chemical, technological knowledge Comparison to other measurement techniques, delivering physical parameters Page 17 Contact etch in AMAT MxP+
18 Interpretation of optical key numbers with experience key number u 2 ;v 1 vs. wafer key number [counts] wafer one point one wafer Key number u 2 ;v 1 shows reproducible long term drift between wet cleans. Experience possible reasons: Light adsorption by polymer, growing on recess side window Drift of gas composition, caused by polymer on the chamber walls No influence of power dissipation here Page 18 Contact etch in AMAT MxP+
19 Reference: Plasma parameter measurement with SEERS Page 19 rf current rf voltage FFT Model SEERS Electron collision rate Electron density Bulk power DC bias voltage SEERS = Self Excited Electron Plasma Resonance Spectroscopy = electrical plasma measurement technique Measurement of: rf current rf voltage Real time calculation of plasma parameters: Electron collision rate [collisions per sec] Electron density [electrons per cm³] Bulk power [mw per cm²] DC bias voltage [V] Plasma monitoring system HERCULES, based on SEERS was used as reference system Contact etch in AMAT MxP+
20 Page 2 key number [counts] Interpretation of optical key numbers with comparison to plasma parameters 2 1 x x 1 4 key number u i ;v j vs. wafer wafer wafer Possible reasons: one point one wafer Temperature drift Gas adsorption and desorption collision rate [1 7 s -1 ] Short term drift indicated by: 1,2 1, 9,8 9,6 9,4 9,2 Optical key numbers, e.g., u 4 ;v 1, u 5 ;v 1 Electron collision rate electron collision rate vs. rf hours one point one wafer rf hours [h] Contact etch in AMAT MxP+
21 Interpretation of optical key numbers with comparison to plasma parameters, cont. key number u 4 ;v 2 vs. wafer Product indicated by: Page 21 key number [counts] one point one wafer Reason: wafer Different open area of 2 products Product 1 Product 2 Product 1 Product 2 electron density [1 8 /cm 3 ] Optical key number u 4 ;v 2 (no optical measurements available during the tool failure) Electron density electron density vs. rf hours WC3 WC4 WC5 Tool failure detected (Arcing) Wetclean one point one lot rf hours [h] Contact etch in AMAT MxP+
22 Interpretation of optical key numbers with comparison to endpoint signatures key number u 5 ;v 6 vs. wafer optical endpoint signal vs. etch time 4 x key number [counts] one point one wafer wafer optical intensity [arb. units] one curve one wafer etch time Key number u 5 ;v 6 corresponds with endpoint time Superimposition of previous processes, depending on lot Page 22 Contact etch in AMAT MxP+
23 Topical Example: Chamber comparison at poly recess etch in Applied Materials DPS key numbers vs. wafer Chamber A Chamber B 1 1 Measurement at chamber B several weeks later. key number [counts] 2 3 one point one wafer 2 3 Key numbers indicate other conditions at chamber B (see 3). Reasons not yet identified. wafer wafer Page 23 Poly recess etch in AMAT DPS
24 Summary and outlook PCA / MPCA is a universal mathematical method for data analysis and data reduction. Key numbers obtained by application of PCA / MPCA on optical spectra are complex process parameters, indicating tool and wafer impacts. Interpretation of key numbers is possible by use of: extracted spectral wave pattern and basic time signals physical, chemical, technological knowledge comparison to other process parameters and tool parameters Actual evaluation / application status: Endpoint detection demonstrated at contact etch processes Application for optimization of endpoint signals and clean processes Use for real time process control in high volume production is a great challenge, due to large number of key numbers and complex interpretation. Page 24 Summary
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