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Volume 4, Issue 4 (Suppl) J Laser Opt Photonics, an open access journal
ISSN: 2469-410X Optics 2017
November 15-17, 2017
November 15-17, 2017 | Las Vegas, USA
8th International Conference and Exhibition on
Lasers, Optics & Photonics
Fourier-Bessel electromagnetic mode solver (and its inversion)
Robert Claude Gauthier
Carleton University, Canada
Numerical simulations of electromagnetic phenomena provide the researcher and the component designer with a cost effective
alternative to device manufacturing of prototypes. Techiques such as FDTD and FEM are commonly employed but hit up
against speed and memory boundaries when structures are irregular or extend over all three coordinate axis. The talk will present a
numerical technique, based on spectral analysis, which is suitable for numerical analysis of structures which present cylindrical and
spherical geometries. The theoretical foundations of the numerical technique will be presented which takes its roots in Maxwell’s
curl coupled equations rather than the usual wave equations. The eigenvalue matrix system properties were explored and symmetry
techniques utilized to reduce the matrix order and tune “mode family” computations were highlighted leading to faster computation
engines. Several computation examples will be presented indicating the suitability of the technique to obtain localized states in
resonators, axially propagated fields in fiber geometries and in spherical resonators. Recently, the numerical process has been inverted
such that the material properties of an optical resonator and waveguide can be determined based on the user defined modal profile
and propagation properties selected by the designer theoretical details and numerical examples of the inverse process will close the
presentation.
Biography
Robert Claude Gauthier has completed his PhD in 1988 from Dalhousie University (Halifax, Canada). He is presently associated with the Department of Electronics at
Carleton University, (Ottawa, Canada). He has published numerous papers primarily in the areas of optical fiber sensors, optical levitation and trapping, photonic crystal and
photonic quasicrys. His research interest now focus on numerical studies of optical resonator properties
Robert Claude Gauthier, J Laser Opt Photonics 2017, 4:4 (Suppl)
DOI: 10.4172/2469-410X-C1-017