GaAsFET (MESFET) model

This device is modeled using an equivalent circuit. Model parameters should not be mistaken for datasheet parameters. 

See below for details. 

Large signal model

mesfet signal model

All transistor node voltage references are with respect to the internal nodes in the following equations (that is, the ohmic resistance pin that is connect the inside of the structure.) 

Static equations 

Drain-source current: 

gaasfetds.png

Gate currents:

gaasfetgate.png

Capacitances

gaasfetcap.png

Temperature dependent parameters 

The following parameters are functions of temperature. T is the operating temperate and TNOM is the nominal (or measured temperature). T and TNOM can be adjusted in a number of ways. 

gaasfettemp.png

Noise equations

The device has thermal noise generators, gaasnoise1.png,  and gaasnoise2.png, as a result of the series ohmic resistances, and the shot and flicker noise generators, collectively gaasnoise3.png, as a result of the channel. 

Ohmic resistance noise:

gaasresnoise.png

Shot and flicker noise:

gaasshot.png
gaasgm.png

References 

  1. G. Massobrio and P. Antognetti, Semiconductor Device Modeling with SPICE, 2nd edition, McGraw-Hill, 1993. 
  2. A. Vladimirescu, The SPICE Book, Wiley, 1994.