ECE 606 L18.2 Semiconductor Equations - Analytical Solutions (Strategy & Examples)

By Gerhard Klimeck

Electrical and Computer Engineering, Purdue University, West Lafayette, IN

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  • Gerhard Klimeck (2023), "ECE 606 L18.2 Semiconductor Equations - Analytical Solutions (Strategy & Examples)," https://nanohub.org/resources/37149.

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  1. continuity equation
  2. diffusion
  3. ECE606-Klimeck
  4. recombination
  5. semiconductor equations
  6. semiconductor transport
ECE 606 L18.2 Analytical Solutions (Strategy & Examples)
  • Section 18.2 Analytical Solutions (Strategy & Examples) 1. Section 18.2 Analytical Soluti… 0
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  • Section 18 Continuity Equations 2. Section 18 Continuity Equation… 11.811811811811813
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  • Analytical Solutions 3. Analytical Solutions 14.514514514514515
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  • Consider a complicated real device example 4. Consider a complicated real de… 65.799132465799133
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  • Recall: Analytical Solution of Schrodinger Equation 5. Recall: Analytical Solution of… 135.86920253586922
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  • Recall: Bound-levels in Finite well 6. Recall: Bound-levels in Finite… 181.34801468134802
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  • Analogously, we solve for our device 7. Analogously, we solve for our … 195.12846179512846
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  • Region 2: Transient, Uniform Illumination, Uniform doping 8. Region 2: Transient, Uniform I… 212.21221221221222
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  • Example: Transient, Uniform Illumination, Uniform doping, No applied electric field 9. Example: Transient, Uniform Il… 310.97764431097767
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  • Region 1: One sided Minority Diffusion at steady state 10. Region 1: One sided Minority D… 411.54487821154487
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  • Example: One sided Minority Diffusion 11. Example: One sided Minority Di… 501.0343677010344
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  • Region 3: Steady state Minority Diffusion with recombination 12. Region 3: Steady state Minorit… 646.17951284617959
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  • Diffusion with Recombination … 13. Diffusion with Recombination â… 743.6102769436103
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  • Combining them all …. 14. Combining them all …. 820.7540874207541
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  • Analytical Solutions Summary 15. Analytical Solutions Summary 985.885885885886
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  • Section 18 Continuity Equations 16. Section 18 Continuity Equation… 1044.9449449449451
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  • Section 18 Continuity Equations 17. Section 18 Continuity Equation… 1048.848848848849
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