6533b7d7fe1ef96bd12686d4

RESEARCH PRODUCT

Bloch analysis of finite periodic microring chains

Matteo Cherchi

subject

PhysicsPhysics and Astronomy (miscellaneous)Field (physics)Mathematical analysisGeneral EngineeringFOS: Physical sciencesGeneral Physics and AstronomyTransfer matrixResonatorReflection (mathematics)Chain (algebraic topology)Transmission (telecommunications)Point (geometry)Closed-form expressionOptics (physics.optics)Physics - Optics

description

We apply Bloch analysis to the study of finite periodic cascading of microring resonators. Diagonalization of the standard transfer matrix approach not only allows to find an exact analytic expression for transmission and reflection, but also to derive a closed form solution for the field in every point of the structure. To give more physical insight we analyze the main features of the transmission resonances in a finite chain and we give some hints for their experimental verification

https://doi.org/10.1007/s00340-004-1671-7