Exact Modal Methods

Boris Gralak (1, 2)

1 EPSILON - EPSILON
2 CONCEPT - CONCEPT

A rigorous formulation of the Exact Modal Method for lamellar structures is presented. A special attention is paid to the continuation of the electromagnetic field inside a lamellar layer that provides a large class of solutions of Maxwell's equations in presence of lamellar gratings. Next, it is shown that in each lamellar layer, there is a decoupling of the vector field equations into two independent scalar equations, which correspond to those of a multilayered stack. The techniques used for the calculation of the exact modes and eigenvalues are presented in detail. Finally, a numerical illustration shows the efficiency of the method.

Domaines: Optique [physics.optics]

Boris Gralak. Exact Modal Methods. E. Popov. Gratings: Theory and Numeric Applications, AMU (PUP), pp.10.1-10.21, 2012, 978-2-8539-9860-4. ⟨hal-00785120⟩