Mathias PERRIN, member of the Photonic & Materials Team, Photonics and Ultrafast Spectrocopy Group, mainly works on mondeling in THz and Quasi-Normal Mode theory.







Mathias PERRIN Diapositive 2
Mathias PERRIN Diapositive 3
Techniques de recherche

Techniques de recherche

Propagation of THz beam

Sometimes, one want to measure a THz beam profile in a plane that is not accessible experimentally, or where the beam waist is so small that only a few pixels would be excited. To overcome this problem, one makes the measurement elsewhere, and then computes the beam profile at the desired location, using a Fourier propagator.

A matlab program that takes as input the amplitude and phase images from the camera, permits to make the back-propagation.


It can be downloaded here:     Code_Propagate_THz_Matlab_V1


Work in nano-optics

We use a theoretical approach based on the regularization of Singular Scattering operators, and the expansion of a compact non-linear eigenvalue problem. The final goal is to obtain a precise modal expansion for the field scattered by nanoparticle(s), possibly on substrate, see [] .

This work takes a place between Mathematics and Physics, and paves the route for new modeling tools in Applied Physics. Indeed, it permits to obtain accurate but scalar models of complex systems, where the (heavy) computation of 6 field components in 3D space, for each frequency and excitation condition (angle, polarization) is replaced by a the computation of a few complex numbers that characterize the system: the QNM Eigen frequencies and some volume integrals of their modes.

The reduction of complexity is drastic, while preserving quantitative modeling.

Eventually, it is the field map of the mode that contains all the information on the spatial variation of fields, whereas the expansion coefficients (often a few of them are needed), contains the information on frequency (or time) variation.





Theory of Quasi-Normal Mode expansion, and its applications (including OLEDs [], Photovoltaics)

Numerical simulation in nanoplasmonics []

Non-linear propagation and fiber lasers, see []





International :

N. Budko, T.U. Delft

work on the essential Spectrum of Electromagnetic Scattering operator. Application to the Quasi-Normal Mode theory.


National :

M.-C. Saint-Lager and Y. Soldo,   Institut Néel.

F. Gruy, Ecole des Mines de Saint-Etienne.



In Bordeaux University :


In State of Aquitaine :



Common work in the team Photonic and Materials

I try to work with all the main themes of our team. The related publications are focused on :

Experimental plasmonics [ ].

Rod-type laser (NL optics): []

Design of THz devices (submitted).



List of my publications on Hal Archive



How to overcome the complex PML integration in QNM expansion, and improve its accuracy ?  How to compute very simply the QNM mode volume without PML integration ?

… see



How create plasmonic waveguide with low losses and yet no active material ?  …..

By optimizing the interaction between plasmon mode and quasi-cylindrical wave .

Publications Récentes

M. Perrin, “Eigen-energy effects and non-orthogonality in the quasi-normal mode expansion of Maxwell équations”, Optics Express   Vol. 24, issue 24, 27137-27151  (2016).


F. Dumur, S. Reculusa, M. Mruczkiewicz, M. Perrin, L. Vignau, S. Fasquel, “Multilayer Langmuir-Blodgett films as diffractive external 3D photonic crystal in blue OLEDs”,  Optics Express   Vol. 24, issue 24, 27137-27151  (2016).


J. Yang,  M. Perrin, P. Lalanne, “Analytical Formalism for the Interaction of Two-Level Quantum Systems with Metal Nanoresonators”,Phys. Rev. X 5, 021008 (2015).


O. Lozan, M. Perrin, B. Ea-Kim, J. M. Rampnoux, S. Dilhaire, P. Lalanne ; “Anomalous Light Absorption around Subwavelength Apertures in Metal Films”, Phys. Rev. Lett. 112, 193903 (2014).


T. Crouzil, M. Perrin ; “Dynamics of a chain of optically coupled micro droplets”; Journal of the European Optical Society : Rapid Publication 8, 13079 (2013).


P. Deslandes, M. Perrin, J. Saby, D. Sangla, F.Salin, E. Freysz, “Picosecond to femtosecond pulses from high power self mode–locked ytterbium rod-type fiber laser “,  Opt. Express 21, 10731-10738 (2013).


Q. Bai, M. Perrin, C. Sauvan, J.P. Hugonin, P. Lalanne, “Efficient and intuitive method for the analysis of light scattering by a resonant nanostructure”,  Opt. Express 21,  27371-27382 (2013).


Curriculum vitae

Curriculum vitae

09/2008…    Chargé de recherche au CPMOH,  devenu le LOMA (UMR5798).

2005-2008   Chargé de recherche au laboratoire PhLAM de Lille (UMR8523),puis à l’IRCICA (FRCNRS3024).

2004-2005   Max Planck Institut Physik Complexer Systeme, Dresden.

Post Doctorat  “Etude de bifurcations  dans une interaction  laser/matière”.

2003-2004   Institut d’Electronique,  Microelectronique  et  Nanotechnologies, Lille (UMR8520).

Post Doctorat “Etude de propagation  rétrograde dans des cristaux photoniques”.

2000-2003   Institut  Non Linéaire  de  Nice (UMR6618) et Université  des  Sciences de Florence.

Thèse en cotutelle France/Italie, Moniteur de l’Université de Nice.

Pas de photo

Mathias PERRIN

Laboratoire Ondes et Matière d’aquitaine (LOMA)
351 cours de la libération
33405 Talence Cedex

Phone : + 33 (0)5 40 00 61 76
Fax : + 33 (0)5 40 00 69 70