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PISCES-2ET and Its Application Subsystems - Stanford Technology ...

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Table of Contents<br />

4.5 Dielectric Constants . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40<br />

4.6 Mobilities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41<br />

4.7 Impact Ionization. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41<br />

5 Numerical Techniques . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43<br />

5.1 High <strong>and</strong> Zero Frequency AC Analyses . . . . . . . . . . . . . . . . . . . . . . . . . . 43<br />

5.1.1 General Principle of AC Small Signal Analysis . . . . . . . . . . . . . . . . . . . . . 43<br />

5.1.2 Matrix Transformation to Improve Diagonal Dominance . . . . . . . . . . . . . 46<br />

5.1.3 Pre-conditioned TFQMR Method for AC Analysis . . . . . . . . . . . . . . . . . . 47<br />

5.1.4 Zero Frequency AC Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50<br />

5.2 Discretization Scheme for Carrier <strong>and</strong> Energy Fluxes . . . . . . . . . . . . . . . 50<br />

5.3 Normalization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52<br />

5.4 Newton Projection Scheme . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53<br />

5.5 Global Data Structure in <strong>PISCES</strong>-<strong>2ET</strong> . . . . . . . . . . . . . . . . . . . . . . . . . . . 53<br />

6 Simulation Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57<br />

6.1 Substrate Current of MOS Structure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57<br />

6.2 SOI Simulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60<br />

6.3 Cylindrically Symmetric LED . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64<br />

6.4 AlInAs/GaInAs MODFET . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70<br />

APPENDIX A Fermi-Dirac Distribution <strong>and</strong> Heterostructures . . . . . . 77<br />

APPENDIX B Mathematical Properties of Fermi Integral. . . . . . . . . . 87<br />

APPENDIX C Formulations in Previous <strong>PISCES</strong>-II Versions. . . . . . . 91<br />

References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93<br />

User’s Manual . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97<br />

CHECK . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101<br />

COMMENT . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 103<br />

CONTACT . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 104<br />

CONTOUR . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 109<br />

DEEPIMPURITY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115<br />

ii<br />

<strong>PISCES</strong>-<strong>2ET</strong> <strong>and</strong> <strong>Its</strong> <strong>Application</strong> <strong>Subsystems</strong>

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