Electron transport

Model
Digital Document
Publisher
Florida Atlantic University
Description
Analog CMOS amplifiers are the building blocks for many analog circuit
applications such as Operational Amplifiers, Comparators, Analog to Digital converters
and others. This dissertation presents empirical design methodologies that are both
intuitive and easy to follow on how to design these basic building blocks. The design
method involves two main phases. In the first phase NMOS and PMOS transistor design
kits, provided by a semiconductor foundry, are fully characterized using a set of
simulation experiments. In the second phase the user is capable of modifying all the
relevant circuit design parameters while directly observing the tradeoffs in the circuit
performance specifications. The final design is a circuit that very closely meets a set of
desired design specifications for the design parameters selected. That second phase of the
proposed design methodology utilizes a graphical user interface in which the designer
moves a series of sliders allowing assessment of various design tradeoffs. The theoretical basis for this design methodology involves the transconductance efficiency and inversion
coefficient parameters. In this dissertation there are no restrictive assumptions about the
MOS transistor models. The design methodology can be used with any submicron model
supported by the foundry process and in this sense the methods included within are
general and non-dependent on any specific MOSFET model (e.g. EKV or BSIM3). As
part of the design tradeoffs assessment process variations are included during the design
process rather than as part of some post-nominal-design analysis. One of the central design parameters of each transistor in the circuit is the MOSFET inversion coefficient. The calculation of the inversion coefficient necessitates the determination of an important process parameter known as the Technology Current. In this dissertation a new method to determine the technology current is developed. Y Parameters are used to characterize the CMOS process and this also helps in improving the technology current determination method. A study of the properties of the technology current proves that indeed a single long channel saturated MOS transistor can be used to determine a fixed technology current value that is used in subsequent submicron CMOS
design. Process corners and the variability of the technology current are also studied and
the universality of the transconductance efficiency versus inversion coefficient response
is shown to be true even in the presence of process variability.
Model
Digital Document
Publisher
Florida Atlantic University
Description
Steady state solutions to the Boltzmann transport equation were obtained
for the transport of neutrinos across a finite, plane parallel slab
using discrete ordinate methods. Semi-analytic solutions were obtained
in the case of isoenergetic, isotropic scattering for one energy group
and in the restricted case of isoenergetic and nonisoenergetic (Compton),
isotropic scattering between two energy groups where the isoenergetic
and the Compton scattering rates are the same for the two groups. For
these two cases solutions were obtained for total optical thicknesses
of 0.2, 2, and 20. When the Compton scattering rates of the two energy
groups are allowed to be different, the transport equation becomes nonlinear
due to the exclusion principle. For this case a numerical scheme
was developed which yielded solutions for slabs having optical thicknesses
up to unity.