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Highlights from
GAFFE A toolbox for solving evolutionary nonlinear PDEs

• B=fftnpad(A,varargin) FFTNPAD Pad an fft ordered array.
• DefaultDiffraction(dz,KX,X,u,... DefaultDiffraction Default diffraction operator for gaffe.
• DefaultDiffractionFibich(dz,K... DefaultDiffractionFibich Alternative normalisation of operator.
• DefaultDispersion(dz,KX,X,U,F... DefaultDispersion Default dispersion operator for gaffe.
• DefaultEndIteration(varargin) DefaultEndIteration Default EndIteration callback.
• DefaultEvolveStep(u0, ... DefaultEvolveStep Integrate a field u0 forwards a distance dz.
• DefaultIdentity(varargin) DefaultIdentity Default identity operator for solvenlse.
• DefaultKerr(dz,KX,X,u,U) DefaultKerr Default Kerr (cubic) nonlinear operator for solvenlse.
• DefaultKerrFibich(dz,KX,X,u,U) DefaultKerrFibich Default Kerr (cubic) nonlinear operator for solvenlse.
• DefaultSelfSteepening(S_times... DefaultSelfSteepening An implementation of the self-steepening operator.
• GetDownSize_DoubleFibonacci(N... GETDOWNSIZE_DOUBLEFIBONACCI
• GetDownSize_Dyadic(N,Options)
• GetDownSize_Fibonacci(N,Optio...
• GetDownSize_HammingFibonacci(... GETDOWNSIZE_HAMMINGFIBONACCI
• GetDownSize_HumbleDoubleFibon...
• GetDownSize_HumbleFibonacci(N... GETDOWNSIZE_HUMBLEFIBONACCI
• GetDownSize_Identity(N,Option...
• GetDownSize_Linear(N,Options) GETDOWNSIZE_LINEAR
• GetUpSize_DoubleFibonacci(N,O...
• GetUpSize_Dyadic(N,Options)
• GetUpSize_Fibonacci(N,Options)
• GetUpSize_HammingFibonacci(N,... GETUPSIZE_HAMMINGFIBONACCI
• GetUpSize_HumbleDoubleFibonac...
• GetUpSize_HumbleFibonacci(N,O... GETUPSIZE_HUMBLEFIBONACCI
• GetUpSize_Identity(N,Options)
• GetUpSize_Linear(N,Options) GETUPSIZE_LINEAR
• IsAliasDown1_DoubleFibonacci(...
• IsAliasDown1_Dyadic(u,Options...
• IsAliasDown1_Fibonacci(u,Opti...
• IsAliasDown1_HammingFibonacci... ISALIASDOWN1_HAMMINGFIBONACCI
• IsAliasDown1_HumbleDoubleFibo...
• IsAliasDown1_HumbleFibonacci(... ISALIASDOWN1_HUMBLEFIBONACCI
• IsAliasDown1_Identity(u,Optio...
• IsAliasDown1_Linear(u,Options...
• IsAliasDown2_DoubleFibonacci(...
• IsAliasDown2_Dyadic(u,Options...
• IsAliasDown2_Fibonacci(u,Opti...
• IsAliasDown2_HammingFibonacci... ISALIASDOWN2_HAMMINGFIBONACCI
• IsAliasDown2_HumbleDoubleFibo...
• IsAliasDown2_HumbleFibonacci(... ISALIASDOWN2_HUMBLEFIBONACCI
• IsAliasDown2_Identity(u,Optio...
• IsAliasDown2_Linear(u,Options...
• N=SetInitialSize_DoubleFibona...
• N=SetInitialSize_Fibonacci(N)
• N=SetInitialSize_HammingFibon...
• N=SetInitialSize_HumbleDouble...
• N=SetInitialSize_HumbleFibona...
• SetInitialSize_Dyadic(N)
• SetInitialSize_Identity(N)
• SetInitialSize_Linear(N)
• [fullwidth]=width(un, X) WIDTH Calculate full width of a complex distribution.
• [norm]=l2norm(un) L2NORM Determine the L2 norm of a field.
• [varargout]=nearest_hamming(n) NEAREST_HAMMING Given a number N return the nearest hamming numbers.
• [varargout]=nearest_humble(n) NEAREST_HUMBLE Given a number N return the nearest humble numbers.
• [w,r]=iq2wr(iq,varargin) IQ2WR Convert an inverse Q parameter to W and R.
• [x,dx,sx,dsx]=fftspace(X,N) FFTSPACE Create zero first ordered (FFT) coordinate vectors.
• [z,u1,X,KX]=evolve(varargin) EVOLVE Evolve a generalised nonlinear wave equation.
• evolvemeshset(varargin) EVOLVEMESHSET Choose a set of callbacks for resizing the mesh in EVOLVE.
• fn=fibonacci(d) FIBONACCI Determine the Nth generalised Fibonacci number
• gaffe_demo_gaussian(varargin) GAFFE_DEMO_GAUSSIAN Demonstrate the collapse threshold for a Gaussian.
• gaffe_demo_linear(varargin) GAFFE_DEMO_LINEAR Demonstrate propagation of a linear pulse in 1D.
• gaffe_demo_soliton(varargin) GAFFE_DEMO_SOLITON Demonstrate soliton propagation.
• gaffe_demo_steepen(varargin) GAFFE_DEMO_STEEPEN Demonstrate the effects of self-steepening.
• gaussian(x,iq,varargin) GAUSSIAN Evaluate an inverse Q parameter.
• ifibonacci(f) IFIBONACCI Inverse Fibonacci, return the index n for a given (assumed) Fn.
• iq2=iq2iq(m,iq) IQ2IQ Transform an inverse Q parameter with a ray transfer matrix.
• isfftnalias(U,TOL,WN,DIM) ISFFTNALIAS Check to see if an FFT ordered signal is aliased.
• m=rtm_distance(l) RTM_DISTANCE Generate a ray transfer matrix for distance L
• m=rtm_lens(f) RTM_LENS Generate a ray transfer matrix for a paraxial lens.
• merged=structmerge(template,n... STRUCTMERGE Merge together two structures.
• second_order_soliton(tau,zeta) SECOND_ORDER_SOLITON Return a second-order soliton of the nlse.
• w0=iq2w0(iq,k) IQ2W0 Given an inverse Q parameter return W0, the beam waist.
• wr2iq(w,r,varargin) WR2IQ Convert beam parameters to inverse Q.
• yn=isfibonacci(fn) ISFIBONACCI Determine if a given number is a Fibonacci number.
• z0=iq2z0(iq,k) IQ2Z0 Given an inverse Q parameter return the distance to the beam waist.
• z=zr(w0,k) ZR Evaluate the Rayleigh range.
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