Rank: 2003 based on 27 downloads (last 30 days) and 2 files submitted
photo

Edward Grace

E-mail
Company/University
Imperial College London

Personal Profile:
Professional Interests:
finance, optics, numerical modelling, solvers

 

Watch this Author's files

 

Files Posted by Edward View all
Updated   File Tags Downloads
(last 30 days)
Comments Rating
09 Aug 2010 Screenshot Example of Volatility Pumping This script demonstrates the phenomenon of excess growth in a constant rebalancing portfolio. Author: Edward Grace finance, shannons demon, crp, portfolio, rebalance 11 0
24 May 2010 Screenshot GAFFE A toolbox for solving evolutionary nonlinear PDEs This toolbox implements the well known split-step Fourier technique for solving nonlinear PDEs. Author: Edward Grace soliton, 2d, 1d, nd, pde, nonlinear 16 7
  • 5.0
5.0 | 3 ratings
Comments and Ratings by Edward View all
Updated File Comments Rating
07 Aug 2011 GAFFE A toolbox for solving evolutionary nonlinear PDEs This toolbox implements the well known split-step Fourier technique for solving nonlinear PDEs. Author: Edward Grace

As defined the example model for pulse propagation will work in normalised units. I strongly recommend reading the example alongside the cited section of Agrawal's "Nonlinear Fiber Optics".

24 May 2011 GAFFE A toolbox for solving evolutionary nonlinear PDEs This toolbox implements the well known split-step Fourier technique for solving nonlinear PDEs. Author: Edward Grace

Mohsin. "..is there anything for birefringence or polarization in this toolbox?". No, not explicitly.

"can we simulate pulse propagation in a birefringent fiber by this toolbox?"

Like many things the answer is "it depends".

As long as you can approximate whatever it is that you want to do as being scalar then the answer is "yes" -- just use an effective refractive index for each (decomposed) polarisation. And model it as two separate (decoupled) problems.

If on the other hand the important effect that you want to capture is due to off-diagonal terms in the nonlinear permettivity tensor that strongly couple between polarisation states then the answer is a resounding "No!"; it's tough enough generalising to an N dimensional scalar nonlinear problems, let alone vectorial / tensorial ones!

Comments and Ratings on Edward's Files View all
Updated File Comment by Comments Rating
29 Oct 2011 GAFFE A toolbox for solving evolutionary nonlinear PDEs This toolbox implements the well known split-step Fourier technique for solving nonlinear PDEs. Author: Edward Grace Amdad

GREAT

07 Aug 2011 GAFFE A toolbox for solving evolutionary nonlinear PDEs This toolbox implements the well known split-step Fourier technique for solving nonlinear PDEs. Author: Edward Grace Grace, Edward

As defined the example model for pulse propagation will work in normalised units. I strongly recommend reading the example alongside the cited section of Agrawal's "Nonlinear Fiber Optics".

07 Jul 2011 GAFFE A toolbox for solving evolutionary nonlinear PDEs This toolbox implements the well known split-step Fourier technique for solving nonlinear PDEs. Author: Edward Grace Shin, Dong-sig

It's exactly what I find toolbox. But I don't know where I should input parameters like pulse energy and duration.

24 May 2011 GAFFE A toolbox for solving evolutionary nonlinear PDEs This toolbox implements the well known split-step Fourier technique for solving nonlinear PDEs. Author: Edward Grace Grace, Edward

Mohsin. "..is there anything for birefringence or polarization in this toolbox?". No, not explicitly.

"can we simulate pulse propagation in a birefringent fiber by this toolbox?"

Like many things the answer is "it depends".

As long as you can approximate whatever it is that you want to do as being scalar then the answer is "yes" -- just use an effective refractive index for each (decomposed) polarisation. And model it as two separate (decoupled) problems.

If on the other hand the important effect that you want to capture is due to off-diagonal terms in the nonlinear permettivity tensor that strongly couple between polarisation states then the answer is a resounding "No!"; it's tough enough generalising to an N dimensional scalar nonlinear problems, let alone vectorial / tensorial ones!

22 May 2011 GAFFE A toolbox for solving evolutionary nonlinear PDEs This toolbox implements the well known split-step Fourier technique for solving nonlinear PDEs. Author: Edward Grace Shah, Mohsin

Hi you have done a great job. i wana know that is there anything for birefringence or polarization in this toolbox? can we simulate pulse propagation in a birefringent fiber by this toolbox?

Top Tags Applied by Edward
1d, 2d, 3d, breather, crp
Files Tagged by Edward View all
Updated   File Tags Downloads
(last 30 days)
Comments Rating
09 Aug 2010 Screenshot Example of Volatility Pumping This script demonstrates the phenomenon of excess growth in a constant rebalancing portfolio. Author: Edward Grace finance, shannons demon, crp, portfolio, rebalance 11 0
24 May 2010 Screenshot GAFFE A toolbox for solving evolutionary nonlinear PDEs This toolbox implements the well known split-step Fourier technique for solving nonlinear PDEs. Author: Edward Grace soliton, 2d, 1d, nd, pde, nonlinear 16 7
  • 5.0
5.0 | 3 ratings

Contact us at files@mathworks.com