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This function is an adaptation of Matlab's "quad" function to return the cumulative integration of an analytical function.

e.g. compute integral:
I(t) = int(0..t)[1/(tau^3 - 2*tau - 5) d_tau] for t=0..3

[I, t] = cumquad(@(tau) 1./(tau.^3-2*tau-5), 0, 3);

This function is almost identical to the quad.m function (v6 upward) except it returns the integral a..x where x=a..b and the corresponding x...

### SPIDER simulation 1.0 - Adam WyattTools / Development Tools

This script simulates an electromagnetic pulse, a spectral phase interferometry for direct electric field reconstruction (SPIDER) measurement and reconstruction and compares it to the true electric field in time in the presence of noise (additive,...

### Integer order 1D Gaussian function 1.0 - Adam WyattTools / Development Tools

Computes the Gaussian function in 1D:
exp(-log(2)*(2*(x-x0)./FWHM).^(2*floor(abs(order))));

Where:
x = Co-ordinate
x0 = Centre of function
FWHM = Full Width Half Max of the function
order = Gaussian order

### Calculate Wigner distribution 1.0 - Adam WyattTools / Development Tools

W = mywigner(Ex)

W = output Wigner distribution
Ex = Input electric field (MUST be a column vector

Notes:
W = Int(-inf..inf){E(x+y)E(x-y)exp[2ixy]}
E(x+y) & E(x-y) are calculated via a FFT (fast Fourier...

### Moments of a function 1.0 - Adam WyattTools / Development Tools

Computes the nth moment mean of a function (needs more implentation).

m = moment(x, y, n)

m = nth moment of y
x = domain
y = data
n = nth moment == 1 by default

m = int(x^n * y) / int(y)

### Forced damped driven pendulum 1.0 - Adam WyattTools / Development Tools

This simulink model simulates the damped driven pendulum, showing it's chaotic motion.
theta = angle of pendulum
omega = (d/dt)theta = angular velocity
Gamma(t) = gcos(phi) = Force
omega_d = (d/dt) phi
Gamma(t) =...

Calculates a rotated 2D gaussian (cylindrical)

y = gauss2D_R(X, Y, FWHM_x, FWHM_y, theta, order);

X = Matrix of x indices
Y = Matrix of y indices
FWHM_x = FWHM in x dimension
FWHM_y = FWHM in y dimension

### Stationary phase approximation for... - Adam WyattTools / Development Tools

This function allows one to calculate the Fourier transform of a chirped function evaluated at specific points using the stationary phase approximation.

Imagine a pulse with a large time-bandwidth produce: this would require a large...