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2.830J / 6.780J / ESD.63J Control of Manufacturing Processes (SMA 6303)
Spring 2008



For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms.
Control of Manufacturing 

           Processes

                Subject 2.830/6.780/ESD.63

                        Spring 2008

                         Lecture #2



        Semiconductor Process Variation

                     February 7, 2008

Manufacturing                                 1
Agenda
• The Semiconductor Fabrication Process
   – Manufacturing process control

• Types of Variation in Microfabrication
   – Defects vs. parametric variations
   – Temporal variations: wafer to wafer (run to run) 

   – Spatial variations: wafer, chip, and feature level


• Preview of manufacturing control techniques

   –   Statistical detection/analysis of variations
   –   Characterization/modeling of processes & variation
   –   Process optimization & robust design
   –   Feedback control of process variation

  Manufacturing                                             2
Semiconductor Fabrication Process, Part 1 





                  R. J. Shutz, in “Statistical Case Studies for Industrial Process Improvement,” pp. 470-471, SIAM, 1997.
Manufacturing
                  Courtesy of the Society for Industrial and Applied Mathematics. Used with permission.
                                                                                                                            3
Semiconductor Fabrication Process, Part 2 





                  R. J. Shutz, in “Statistical Case Studies for Industrial Process Improvement,” pp. 470-471, SIAM, 1997.
Manufacturing
                  Courtesy of the Society for Industrial and Applied Mathematics. Used with permission.
                                                                                                                            4
Semiconductor Fabrication Process, Part 3 





                  R. J. Shutz, in “Statistical Case Studies for Industrial Process Improvement,” pp. 470-471, SIAM, 1997.
Manufacturing
                  Courtesy of the Society for Industrial and Applied Mathematics. Used with permission.
                                                                                                                            5
Semiconductor Fabrication Process, Part 4 





                  R. J. Shutz, in “Statistical Case Studies for Industrial Process Improvement,” pp. 470-471, SIAM, 1997.
Manufacturing
                  Courtesy of the Society for Industrial and Applied Mathematics. Used with permission.
                                                                                                                            6
(Semiconductor) Manufacturing 

                 Process Control




                 Image removed due to copyright restrictions. Please see Fig.
                 26 in Boning, D. S., et al. “A General Semiconductor
                 Process Modeling Framework.” IEEE Transactions on
                 Semiconductor Manufacturing 5 (November 1992): 266-280.




Manufacturing                                                                   7
Agenda
• The Semiconductor Fabrication Process
   – Manufacturing process control

• Types of Variation in Microfabrication
   – Defects vs. parametric variations
   – Temporal variations: wafer to wafer (run to run) 

   – Spatial variations: wafer, chip, and feature level


• Preview of manufacturing control techniques

   –   Statistical detection/analysis of variations
   –   Characterization/modeling of processes & variation
   –   Process optimization & robust design
   –   Feedback control of process variation

  Manufacturing                                             8
Defect vs. Parametric Variation





 Manufacturing                     9
Yield & Variation from Defects

•	 Electrical test
    –	 measure shorts in test 

       structures for different spacings

       between patterned lines (at or

       near the “design rule” or DR 

       feature size)

    –	 measure opens in other test 

       structures




 Images removed due to copyright restrictions. Please see: Hess, Christopher. "Test Structures for Circuit Yield Assessment
 and Modeling." IEEE International Symposium on Quality Electronics Design, 2003.




   Manufacturing
                                                                                    Hess, ISQED 2003 Tutorial
 10
Manufacturing   11
Manufacturing   12
Temporal Variation





Manufacturing                         13
Manufacturing   14
Manufacturing   15
Spatial Variation

• Wafer scale
• Chip scale
• Feature scale



 Manufacturing                       16
Manufacturing   17
Manufacturing   18
Manufacturing   19
Manufacturing   20
Manufacturing   21
Manufacturing   22
Manufacturing   23
Manufacturing   24
Manufacturing   25
Manufacturing   26
Manufacturing   27
Modeling of Processes 

                    and Variation


• Empirical modeling
• Physical modeling


 Manufacturing                             28
Manufacturing   29
Manufacturing   30
Manufacturing   31
Manufacturing   32
Manufacturing   33
Manufacturing   34
Manufacturing   35
Manufacturing   36
Manufacturing   37
Manufacturing   38
Manufacturing   39
Process Optimization &

                Robust Design





Manufacturing                         40
Manufacturing   41
Image removed due to copyright restrictions. Please see Fig. 7 in
                Lakshminarayanan, S., et al. “Design Rule Methodology to Improve the
                Manufacturability of the Copper CMP Process.” Proceedings of the IEEE
                International Interconnect Technology Conference (2002): 99-101.




Manufacturing                                                                           42
Feedback Control of Variation





Manufacturing                    43
The General Process Control Problem

Desired
Product                                                               Product
                     CONTROLLER
                     CONTROLLER         EQUIPMENT        MATERIAL

                       Equipment loop

                                Material loop

                                   Process output loop

 Control of Equipment:            Control of Material     Control of Product:
  Forces,                         Strains                   Geometry
  Velocities                      Stresses                     and
 Temperatures, ...                Temperatures,             Properties
                                  Pressures, ...

     Manufacturing                                                              44
Manufacturing   45
Manufacturing   46
Manufacturing   47
Manufacturing   48
Manufacturing   49
Manufacturing   50
Manufacturing   51
Manufacturing   52
Manufacturing   53
Manufacturing   54
Summary
• The Semiconductor Fabrication Process
   – Manufacturing process control

• Types of Variation in Microfabrication
   – Defects vs. parametric variations
   – Temporal variations: wafer to wafer (run to run) 

   – Spatial variations: wafer, chip, and feature level


• Preview of manufacturing control techniques

   –   Statistical detection/analysis of variations
   –   Characterization/modeling of processes & variation
   –   Process optimization & robust design
   –   Feedback control of process variation

  Manufacturing                                             55

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Lecture2

  • 1. MIT OpenCourseWare http://ocw.mit.edu 2.830J / 6.780J / ESD.63J Control of Manufacturing Processes (SMA 6303) Spring 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms.
  • 2. Control of Manufacturing Processes Subject 2.830/6.780/ESD.63 Spring 2008 Lecture #2 Semiconductor Process Variation February 7, 2008 Manufacturing 1
  • 3. Agenda • The Semiconductor Fabrication Process – Manufacturing process control • Types of Variation in Microfabrication – Defects vs. parametric variations – Temporal variations: wafer to wafer (run to run) – Spatial variations: wafer, chip, and feature level • Preview of manufacturing control techniques – Statistical detection/analysis of variations – Characterization/modeling of processes & variation – Process optimization & robust design – Feedback control of process variation Manufacturing 2
  • 4. Semiconductor Fabrication Process, Part 1 R. J. Shutz, in “Statistical Case Studies for Industrial Process Improvement,” pp. 470-471, SIAM, 1997. Manufacturing Courtesy of the Society for Industrial and Applied Mathematics. Used with permission. 3
  • 5. Semiconductor Fabrication Process, Part 2 R. J. Shutz, in “Statistical Case Studies for Industrial Process Improvement,” pp. 470-471, SIAM, 1997. Manufacturing Courtesy of the Society for Industrial and Applied Mathematics. Used with permission. 4
  • 6. Semiconductor Fabrication Process, Part 3 R. J. Shutz, in “Statistical Case Studies for Industrial Process Improvement,” pp. 470-471, SIAM, 1997. Manufacturing Courtesy of the Society for Industrial and Applied Mathematics. Used with permission. 5
  • 7. Semiconductor Fabrication Process, Part 4 R. J. Shutz, in “Statistical Case Studies for Industrial Process Improvement,” pp. 470-471, SIAM, 1997. Manufacturing Courtesy of the Society for Industrial and Applied Mathematics. Used with permission. 6
  • 8. (Semiconductor) Manufacturing Process Control Image removed due to copyright restrictions. Please see Fig. 26 in Boning, D. S., et al. “A General Semiconductor Process Modeling Framework.” IEEE Transactions on Semiconductor Manufacturing 5 (November 1992): 266-280. Manufacturing 7
  • 9. Agenda • The Semiconductor Fabrication Process – Manufacturing process control • Types of Variation in Microfabrication – Defects vs. parametric variations – Temporal variations: wafer to wafer (run to run) – Spatial variations: wafer, chip, and feature level • Preview of manufacturing control techniques – Statistical detection/analysis of variations – Characterization/modeling of processes & variation – Process optimization & robust design – Feedback control of process variation Manufacturing 8
  • 10. Defect vs. Parametric Variation Manufacturing 9
  • 11. Yield & Variation from Defects • Electrical test – measure shorts in test structures for different spacings between patterned lines (at or near the “design rule” or DR feature size) – measure opens in other test structures Images removed due to copyright restrictions. Please see: Hess, Christopher. "Test Structures for Circuit Yield Assessment and Modeling." IEEE International Symposium on Quality Electronics Design, 2003. Manufacturing Hess, ISQED 2003 Tutorial 10
  • 17. Spatial Variation • Wafer scale • Chip scale • Feature scale Manufacturing 16
  • 29. Modeling of Processes and Variation • Empirical modeling • Physical modeling Manufacturing 28
  • 41. Process Optimization & Robust Design Manufacturing 40
  • 43. Image removed due to copyright restrictions. Please see Fig. 7 in Lakshminarayanan, S., et al. “Design Rule Methodology to Improve the Manufacturability of the Copper CMP Process.” Proceedings of the IEEE International Interconnect Technology Conference (2002): 99-101. Manufacturing 42
  • 44. Feedback Control of Variation Manufacturing 43
  • 45. The General Process Control Problem Desired Product Product CONTROLLER CONTROLLER EQUIPMENT MATERIAL Equipment loop Material loop Process output loop Control of Equipment: Control of Material Control of Product: Forces, Strains Geometry Velocities Stresses and Temperatures, ... Temperatures, Properties Pressures, ... Manufacturing 44
  • 56. Summary • The Semiconductor Fabrication Process – Manufacturing process control • Types of Variation in Microfabrication – Defects vs. parametric variations – Temporal variations: wafer to wafer (run to run) – Spatial variations: wafer, chip, and feature level • Preview of manufacturing control techniques – Statistical detection/analysis of variations – Characterization/modeling of processes & variation – Process optimization & robust design – Feedback control of process variation Manufacturing 55