Dr. Kofi EDEE was born in Lomé (Togo) in 1975. He received his Ph. D in computational physics for electromagnetic modeling, from University Clermont Auvergne. After postdoctoral training in the Microelectronics Technology Laboratory at Grenoble, he returns to Clermont-Ferrand where he currently is Associate professor and researcher of Pascal Institut. He also serves as Director of the Non Destructive Testing department. His research interests concern essentially mathematical and computational physics. More specifically, he develop advanced and accurate electromagnetic modal methods to treat optics and electromagnetic problems for modern nanophotonic devices as plasmonic lenses, waveguides, gratings, etc. He recently introduced a polynomial modal method based on Gegenbauer polynomial expansion and emphasized that the main advantage of this new method is that the continuity relations of the electromagnetic field can be written in an exact manner.
Computational Physics for Photonics – Plasmonics
- Weighted residual method
- Tensorial form of Maxwell’s equations and Modal Method
- Modal Method (Boundary value problem)
Theory and Numerical Methods
- Fourier Modal Method FMM
- Polynomial Modal Method PMM
- Curvilinear coordinates method (C-method)
- Perfectly matched layers and complex coordinates transform: The concept of PMLs was first introduced in the frame of the finite difference time domain (FDTD) by Bérenger and is called the perfectly matched layers (PMLs) concept. Since then, the concept has been extended to other numerical methods, especially in the frequency domain. Sacks et al. showed how a plane diopter separating an isotropic medium and a uniaxial anisotropic medium can achieve a perfect impedance adaptation and thus suppress any reflection at this interface. The equivalence between the concept of PMLs and stretching coordinates applied to the Maxwell equations was established by Chew and Weedon in . Later on, Chew et al. interpreted the change of complex coordinates as a continuous extension of the electromagnetic field in the complex plane. After that, works based on the use of differential forms were proposed by Teixeira and Chew.