6533b82afe1ef96bd128ccc1

RESEARCH PRODUCT

Exact analytic expressions for electromagnetic propagation in a finite one-dimensional periodic multilayer

Matteo Cherchi

subject

PhysicsClassical mechanicsTransformation matrixModalWave propagationElectric fieldMathematical analysisBoundary value problemElectromagnetic propagationDiffraction gratingSpectral line

description

Translation Matrix Formalism has been used to find an exact analytic solution for light propagation in a finite one-dimensional (1-D) periodic stratified structure. This modal approach allows to derive a closed formula for the electric field in every point of the structure, by simply imposing a convenient form for the boundary conditions. As an example it is also shown how to extend this result to gratings featuring defects.

yearjournalcountryeditionlanguage
2004-05-10
10.1063/1.1764031https://cris.vtt.fi/en/publications/335adbaf-4490-4078-b2c7-e66abeba8662