Site Personnel de Stéphane Balac -
Enseignant Chercheur à l'Université de Rennes 1

The following softwares and Matlab/Octave toolboxes are available at download. They are distributed under the CeCILL license under French law and abiding by the rules of distribution of free software.

S

In the SPIP program is implemented the Interaction Picture method, a new efficient alternative method to the Symmetric Split-Step method together with a dedicated costless adaptive step-size control based on the use of a 4th order embedded Runge-Kutta method.

This software is governed by the CeCILL license under French law and abiding by the rules of distribution of free software. It has been published in Computer Physics Communications in 2015.

Snapshots of the SPIP program results for
the propagation of a 10th order Soliton in a SMF-28 fiber.

SPIP executable and sources archive

SPIP documentation

You can refer to this program as :

S. Balac and A. Fernandez, SPIP: A computer program implementing the Interaction Picture method for simulation of light-wave propagation in optical fibre, Computer Physics Communications, 2015. (DOI : 10.1016/j.cpc.2015.10.012)

The WGMode Matlab Toolbox is constituted of various Matlab scripts to study whispering gallery modes in optical micro-spheres. These scripts allow to explore resonance conditions for TE or TM modes, to visualize whispering gallery TE or TM modes in a micro-sphere and to compute the volume of any given mode. Namely, the WGMode Matlab Toolbox contains the following Matlab scripts :

- ELLRES computes, for a given wavelength, the values of the mode index for which a resonance occurs
- WVLRES computes, for a given couple of mode index $(\ell,m)$, the values of the wavelength for which a resonance occurs
- VOLMOD computes the volume of a whispering gallery TE or TM modes in a micro-sphere
- PLTMOD plot the whispering gallery modes

Various
representation of the TE mode with indexes l=271, m=271 and wavelength
804.57 nm

in a micro-sphere with radius 25 μm and optical index 1.453

in a micro-sphere with radius 25 μm and optical index 1.453

WGMode Toolbox as a ZIP archive

WGMode documentation

You can refer to this program as :

S. Balac and P. Féron, Computation of whispering gallery modes volume in spherical optical micro-resonator, Int. J. Mod. Phys. C, 2015.

This program is governed by the CeCILL license under French law and abiding by the rules of distribution of free software.

Download the
ARAMIS program as a ZIP archive.

MRI
artifact generated by a ball of Titanium simulated with the
ARAMIS program.

Susceptibility artifact on the left picture, RF artifact on the center picture and the actual artifact on the right combination of both effects.

Susceptibility artifact on the left picture, RF artifact on the center picture and the actual artifact on the right combination of both effects.

Details on the mathematical modeling from where the Matlab program originates can be obtained in the following articles :

- S. Balac and G. Caloz, Mathematical modeling and numerical simulation of magnetic susceptibility artifacts in Magnetic Resonance Imagi Computer Methods in Biomechanics and Biomedical Engineering (3:335-349 (2000))
- S. Balac and L. Chupin, Fast approximate solution of Bloch equation for simulation of RF artifacts in Magnetic Resonance Imaging, Mathematical and Computer Modelling (48 : 1901-1913 (2008)). Available on HAL-CNRS