Preface |
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xv | |
Acknowledgments |
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xvii | |
Introduction |
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xix | |
Part I |
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3 | (16) |
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1.1 Statement of the Problem |
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3 | (2) |
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1.2 Verifying the Approach in MMIC Design: GaAs FE Ts and HEM Ts [ 2] |
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5 | (5) |
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1.3 Aims of the Present Work |
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10 | (3) |
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1.3.1 Motivation and Practical Application |
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11 | (1) |
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1.3.2 The Physics-to-Circuit Model Construct |
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11 | (1) |
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12 | (1) |
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13 | (2) |
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1.5 Organization of the Book |
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15 | (1) |
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16 | (1) |
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16 | (3) |
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Chapter 2 Summary of Approaches and Needs |
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19 | (54) |
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2.1 Why Models Are Important |
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19 | (1) |
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2.2 Types of Nonlinear Models |
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19 | (2) |
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21 | (2) |
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2.4 Behavioral or Black Box Characterization |
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23 | (2) |
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2.5 Properties of Large-Signal Models in More Detail |
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25 | (9) |
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26 | (3) |
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2.5.2 The Subthreshold Region |
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29 | (1) |
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2.5.3 Consequences of Fitting Well to Some Features of iD(vGS,vDS) but Not Others |
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29 | (2) |
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2.5.4 Thermal Considerations |
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31 | (1) |
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2.5.5 Construction of the Model from Measurements |
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32 | (1) |
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2.5.6 The Position of Commercial Extractors |
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32s | (1) |
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2.5.7 FE T Size Considerations |
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33 | (1) |
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2.5.8 Model Openness in Construction and Usability |
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33 | (1) |
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2.5.9 Constraints Placed upon Models by Circuit Simulators |
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34 | (1) |
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34 | (1) |
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2.7 The Curtice Quadratic Model |
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35 | (2) |
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2.7.1 Expression Used for the Modeling Current |
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35 | (1) |
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2.7.2 Expression Used for the Modeling Capacitance |
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35 | (1) |
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35 | (1) |
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2.7.4 Underlying Soundness |
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35 | (1) |
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2.7.5 Measurements Required |
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36 | (1) |
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2.7.6 Openness of Procedure for Extracting the Model from Measurements |
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36 | (1) |
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36 | (1) |
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36 | (1) |
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2.8 The Curtice-Ettenberg Model |
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37 | (1) |
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2.8.1 Expressions Used for Modeling Current |
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37 | (1) |
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2.8.2 Expressions Used for Modeling Capacitance |
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37 | (1) |
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37 | (1) |
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2.8.4 Underlying Soundness |
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37 | (1) |
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2.8.5 Measurements Required |
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37 | (1) |
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2.8.6 Openness of Procedure for Extracting the Model from Measurements |
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38 | (1) |
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38 | (1) |
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2.9 The Materka-Kacprzak Model |
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38 | (2) |
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2.9.1 Expressions Used for Modeling Current |
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38 | (1) |
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2.9.2 Expressions Used for Modeling Capacitance |
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38 | (1) |
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38 | (1) |
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2.9.4 Underlying Soundness |
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38 | (1) |
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2.9.5 Measurements Required |
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39 | (1) |
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2.9.6 Openness of Procedure for Extracting the Model from Measurements |
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39 | (1) |
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39 | (1) |
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2.10 An Illustrated Application |
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40 | (11) |
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2.10.1 Current Equation: Modified Materka |
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40 | (1) |
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2.10.2 Capacitance Equations: Use of the Statz Expressions |
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40 | (1) |
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40 | (11) |
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51 | (2) |
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2.11.1 Expressions Used for Modeling Current |
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51 | (1) |
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2.11.2 Expressions Used for Modeling Capacitance |
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51 | (1) |
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52 | (1) |
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2.11.4 Underlying Soundness |
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52 | (1) |
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2.11.5 Measurements Required |
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52 | (1) |
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2.11.6 Openness of Procedure for Extracting the Model from Measurements |
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53 | (1) |
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53 | (1) |
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2.12 TriQuint Own Model ( TOM) |
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53 | (2) |
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2.12.1 Expressions Used for Modeling Current |
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53 | (1) |
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2.12.2 Expressions Used for Modeling Capacitance |
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53 | (1) |
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54 | (1) |
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2.12.4 Underlying Soundness |
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54 | (1) |
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2.12.5 Measurements Required |
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54 | (1) |
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2.12.6 Openness of Procedure for Extracting the Model from Measurements |
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55 | (1) |
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55 | (1) |
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55 | (2) |
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55 | (1) |
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2.13.2 Underlying Soundness |
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56 | (1) |
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2.13.3 Openness of Procedure for Extracting the Model from Measurements |
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56 | (1) |
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2.14 Other Models Using the Commonplace Equivalent Circuit |
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57 | (2) |
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2.14.1 Dortu-Muller Method |
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57 | (1) |
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58 | (1) |
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58 | (1) |
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2.14.4 University of Cantabria Model |
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58 | (1) |
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2.14.5 University College Dublin Model |
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58 | (1) |
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2.15 The Parker-Skellern Model |
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59 | (3) |
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2.15.1 Shortcomings in Previous Practice |
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59 | (1) |
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2.15.2 Parker's Scheme: Nested Transformations |
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60 | (1) |
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2.15.3 Expressions Used for Modeling Capacitance |
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61 | (1) |
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2.15.4 Basis and Underlying Soundness |
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61 | (1) |
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2.15.5 Measurements Required |
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62 | (1) |
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2.15.6 Openness of Procedure for Extracting the Model from Measurements |
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62 | (1) |
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62 | (1) |
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62 | (1) |
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62 | (4) |
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62 | (1) |
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2.16.2 Underlying Soundness |
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63 | (1) |
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2.16.3 Measurements Required |
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64 | (1) |
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64 | (1) |
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2.16.5 Openness of Procedure for Extracting the Model from Measurements |
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65 | (1) |
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65 | (1) |
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66 | (3) |
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2.17.1 Expression Used for Modeling Current |
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66 | (1) |
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2.17.2 Expression Used for Modeling Capacitance |
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67 | (1) |
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67 | (1) |
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2.17.4 Underlying Soundness |
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67 | (1) |
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2.17.5 Measurements Required |
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67 | (1) |
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2.17.6 Openness of Procedure for Extracting the Model from Measurements |
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67 | (1) |
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68 | (1) |
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68 | (1) |
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69 | (1) |
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70 | (3) |
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Chapter 3 Practical Behavior of FE Ts |
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73 | (28) |
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3.1 dc 1(V), Dynamic I( V), and RF Properties |
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73 | (13) |
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3.1.1 Example Differences Between dc I(V) and Dynamic i(v) |
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74 | (6) |
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3.1.2 Breakdown Different at RF from dc |
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80 | (3) |
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3.1.3 Memory Effects: Surface States, Deep Levels, and Self-Heating |
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83 | (1) |
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3.1.4 S-Parameters: dc Bias and Pulsed Bias |
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84 | (1) |
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3.1.5 Device-to-Device Variations |
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85 | (1) |
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3.2 Bias Dependence of the Elements |
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86 | (13) |
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3.2.1 Common Practice: The Beginning with Rauscher and Willing |
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86 | (1) |
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3.2.2 Fitting to S-Parameters: Examples |
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87 | (7) |
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3.2.3 The Commonplace Model |
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94 | (1) |
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3.2.4 Bias Dependence of the Elements: Examples |
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95 | (4) |
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3.3 τ: A Vital But Overlooked Physical Variable |
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99 | (1) |
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100 | (1) |
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Chapter 4 The Standard Model: Deriving the Elements |
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101 | (32) |
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4.1 Element Functions Obtained by Fitting: True or Askew? |
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101 | (3) |
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4.2 Neglect of Nonlinear Terms |
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104 | (19) |
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4.2.1 The Problem of Nonlinear Extraction |
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104 | (2) |
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4.2.2 Extracted Versus True Nonlinear Element Functions |
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106 | (14) |
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4.2.3 Consequences for Nonlinear Circuit Simulation |
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120 | (3) |
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4.3 Difficult Cases: Early SiC FE T Example |
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123 | (7) |
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4.4 Improvements Towards a True Nonlinear Model |
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130 | (1) |
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131 | (2) |
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Chapter 5 The Capacitance Puzzle in the Standard Model |
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133 | (8) |
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5.1 The Form of Cgd and Cds: Fact or Artefact? |
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133 | (2) |
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5.2 The Composition of Cgc |
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135 | (3) |
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5.3 C from g: Deriving Capacitance from Conductance |
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138 | (1) |
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5.4 Standard Model Capacitance in Review |
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139 | (1) |
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140 | (1) |
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Chapter 6 Dynamic I(V) Measurements |
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141 | (16) |
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6.1 Development of a Desktop Pulsed I(V) Instrument |
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141 | (4) |
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6.2 Operation and Utilization |
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145 | (2) |
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6.3 Memory and Other Effects |
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147 | (3) |
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6.4 Contrariness as a Positive |
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150 | (1) |
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6.5 Contemporary Instrumentation |
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151 | (1) |
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152 | (5) |
Part II |
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Chapter 7 Reformulating the Circuit Model |
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157 | (12) |
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157 | (1) |
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158 | (2) |
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7.3 Charge Flows When VGs Changes |
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160 | (1) |
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7.4 Charge Flows When VD T Changes |
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161 | (2) |
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7.5 Resistive and Ancillary Elements |
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163 | (2) |
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7.6 Voltage Dependence of the Elements |
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165 | (1) |
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7.7 Reduction in the Static State to the Standard Model |
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165 | (1) |
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7.8 Previously Published Versions |
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166 | (2) |
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168 | (1) |
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Chapter 8 The Importance and Utility of T |
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169 | (2) |
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169 | (1) |
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8.2 Pivotal Role in the Reformed Model |
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169 | (1) |
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8.3 Inclusion in Circuit Simulators |
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170 | (1) |
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8.4 X(τ) as a Staple of Device Operation |
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170 | (1) |
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8.5 A Repository of Information on Device Technology |
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170 | (1) |
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170 | (1) |
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171 | (10) |
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171 | (1) |
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9.2 Obtaining the Element Functions |
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171 | (6) |
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9.2.1 Obtaining the Standard Model Element Functions: The Fitter |
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171 | (2) |
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9.2.2 Fitting the New Topology Model |
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173 | (4) |
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177 | (2) |
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179 | (2) |
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Chapter 10 Obtaining the Current and Capacitance Functions |
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181 | (28) |
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10.1 Current Functions from Pulsed 1(V) Measurements |
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181 | (1) |
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10.2 Dynamic I(V) Reconstructor |
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182 | (8) |
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10.3 Implications for Slow-Rate Transients |
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190 | (1) |
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10.4 Obtaining the Capacitance Functions |
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191 | (2) |
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193 | (2) |
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10.6 The Defining Case of VDs = OV |
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195 | (1) |
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10.7 Practical Example of Reformed Model Elements |
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196 | (11) |
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207 | (2) |
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Chapter 11 Practical Results |
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209 | (18) |
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209 | (1) |
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11.2 First Test: Power Compression and Harmonic Generation |
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210 | (1) |
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11.3 A 38 GHz Frequency Doubler |
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211 | (1) |
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11.4 Two-Stage and Three-Stage 500 mW MMIC |
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212 | (6) |
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218 | (4) |
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11.6 Memory Effect: Basic Illustration |
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222 | (4) |
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226 | (1) |
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Chapter 12 Circuit Simulators |
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227 | (14) |
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227 | (1) |
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12.2 Implementation in a Harmonic Balance Simulator |
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227 | (9) |
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12.2.1 Particularizing the Model |
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227 | (3) |
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230 | (3) |
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12.2.3 Run Time and Convergence |
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233 | (3) |
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12.3 Experience with a Time-Domain Simulator |
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236 | (1) |
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12.4 Simulation Prospects |
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237 | (1) |
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238 | (3) |
Part III |
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Chapter 13 Fundamentals of FE T Operation |
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241 | (36) |
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241 | (2) |
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13.2 Electron Depletion and Transport |
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243 | (5) |
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13.3 The Space-Charge Layer Extension X |
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248 | (3) |
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13.4 The Flat d Approximation |
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251 | (7) |
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13.5 The Uniform EyX Termination Approximation |
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258 | (2) |
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13.6 Expressions for VGC and VD'G |
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260 | (2) |
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13.7 The d-Lift Principle |
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262 | (4) |
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266 | (8) |
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274 | (3) |
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Chapter 14 Current and Charge Conservation |
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277 | (18) |
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277 | (3) |
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14.2 Transreactance Current |
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280 | (1) |
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281 | (5) |
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14.4 Charge Storage by Pure Delay τ |
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286 | (4) |
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14.5 Resistances RS and RI |
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290 | (3) |
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293 | (2) |
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Chapter 15 Charge Storage |
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295 | (20) |
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15.1 Revisiting Capacitance |
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295 | (3) |
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298 | (5) |
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15.2.1 The Overall Picture |
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298 | (1) |
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15.2.2 Branch Capacitance |
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298 | (2) |
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300 | (2) |
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15.2.4 Branch Charge Storage by Pure Delay |
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302 | (1) |
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303 | (6) |
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15.3.1 The Overall Picture |
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304 | (1) |
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15.3.2 Branch Capacitance |
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304 | (2) |
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306 | (2) |
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15.3.4 Orthogonal Branch Charge Storage by Pure Delay |
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308 | (1) |
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309 | (4) |
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15.4.1 Reconciliation of the Main Capacitances |
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309 | (1) |
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310 | (2) |
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15.4.3 The True Nature of the Standard Model |
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312 | (1) |
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15.5 Enter the Transit Time |
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313 | (1) |
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313 | (2) |
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Chapter 16 Macro-Cell Simulators |
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315 | (10) |
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315 | (2) |
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16.2 Simulator Requirements |
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317 | (1) |
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318 | (3) |
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16.3.1 The Macro-Cell Idea |
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318 | (1) |
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319 | (1) |
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16.3.3 Choosing the Cells |
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320 | (1) |
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16.3.4 Below-the-Knee Realism |
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321 | (1) |
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16.3.5 Deconfinement of Hot Electrons |
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321 | (1) |
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16.4 The PHEM T Macro-Cell Solver |
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321 | (1) |
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16.5 Applications and Limitations |
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322 | (1) |
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323 | (2) |
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325 | (4) |
Acronyms and Abbreviations |
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329 | (2) |
List of Symbols |
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331 | (4) |
About the Author |
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335 | (2) |
Index |
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337 | |