MPL Homepage.
mpl_LSF (Version 3):
Download.
Enter your data in the spreadsheet. A linear least-squares fit to a straight line
is computed, with proper error estimates, but with no covariances.
mpl_DATAFIT (Version 1):
Download.
Enter your data in the spreadsheet. Program your fitting function into the
"fit theory" column; up to 4 parameters can be used.
Semi-automatic
finding of the minimum in Chi^2
using a grid search. Error estimates are made for each parameter by stepping
each parameter such that Chi^2 increases by one. Uncertainties must be
estimated "by hand" by varying parameters by the correct amount to
increase Chi^2 by one.
mpl_DATAFIT (Version 10):
Download.
Fit up to 5 parameters. Improved error estimates are made by stepping each
parameter such that Chi^2 increases by one, but with all the other
parameters minimized at the same time. No covariances are computed,
but the correct values for the diagonal elements of the error
matrix are obtained.
NucMagRes5.py:
Download.
Simulation of Nuclear Magnetic Resonance (NMR)
physics using the "VPython" environment. See directly what the relaxation
times T1 and T2 and T2* really mean. The time evolution of the expectation
value of the quantum mechanical spin operator is the same as the evolution
of a classical spinning magnetic moment. Therefore this visualization is valid
and can be very instructive.
EMWave.py:
Download.
Simulation of polarized electromagentic waves
using the "VPython" environment. Simulate two plane-polarized waves that are
90 degrees out of phase with each other and also oriented 90 degrees apart.
When they are simultaneously present, one sees the true meaning of the notion of
circular polarization.
OpticalPumping1.py:
Download.
Simulation of optical pumping using the "VPython" environment.
A collection of Rubidium-87 atoms are subjected to ciruclarly polarized light which
progressively pushes them to higher values of magnetic sub-state values. A
transverse RF magnetic field precesses the spin vectors collectively, illustrating
how the optically pumped state is destroyed by repopulating the other magnetic sub-states
of the system.
mpl_chaos_duffing: Download.
Maple work sheet for the Chaos experiment.
Simulates the Duffing oscillator used in the experiment. See the
Chaos handout for instructions.
mpl_chaos_boxcounting:
Download.
Excel spreadsheet for computing fractal dimension using a box counting algorithm.
See the Chaos handout for instructions.
MPL Homepage.