Introduction to Modeling HBTs

The FBH Model [18] was developed by the author at the Ferdinand-Braun-Institut fur H chstfrequenztechnik, in Berlin, Germany. Its primarily goal was to facilitate the design of monolithic integrated microwave circuits (MMICs) in GaAs-HBTs. It is, however, versatile enough to also describe InP-based HBTs.
The philosophy behind the model is that while all of the issues addressed in Chapter 2 should be taken care of, the model should at the same time be based on easy-to-understand formulas with easy-to-extract parameters. Therefore, its basic structure was based on the Gummel-Poon model, with extensions and improvements as required.
The FBH HBT model features:
Early and Webster effects (borrowed from VBIC);
Nonideal base currents (base-emitter and base-collector);
Self-heating and thermal interaction (by a thermal port);
Continuously differentiable depletion capacitance;
Unified description of transit time and collector capacitance variation due to velocity modulation;
Excess transit time due to base pushout, borrowed from HICUM;
Base-emitter and base-collector breakdown;
Enhanced noise model: improved in the 1/ f range as well as in the RF range;
Scaling with transistor size.
The equivalent circuit of the FBH HBT model is shown in Figure 6.10 and its parameters are listed in Table 6.9.
| Parameter | Meaning | Units |
|---|---|---|
| Ideal DC Parameters | ||
| Jsf | forward CE saturation current | A/ ?m 2 |
| Nf | forward emission coefficient | |
| Vg | activation energy for Jsf | V |
| Jsr | reverse CE saturation current | A/ ?m 2 |
| Nr | reverse emission coefficient | |
| Vgr | activation energy for... |