Related Experiment Video
Updated: Jun 27, 2026

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators
Published on: August 5, 2013
Modes of the infinite square lattice of coupled microring resonators
Ioannis Chremmos1, Nikolaos Uzunoglu
1Microwave and Fiber Optics Laboratory, School of Electrical and Computer Engineering, National Technical University of Athens, 9 Iroon Polytechniou Street, Zografos 15780, Athens, Greece. jochremm@central.ntua.gr
Abstract:
The infinite square lattice of coupled microring optical resonators is studied for what we belive to be the first time. Using the standard matrix formalism and the classical Bloch's theorem for propagation in periodic optical media, the dispersion equation and the amplitudes of propagating Bloch modes are derived analytically. It is found that the dispersion equation omega(kx,ky) of this 2D microring array is expressed as the sum of two independent dispersion equations of the 1D microring array with wavenumbers kx and ky. As a result, the width of the passband is twice that of a microring coupled-resonator optical waveguide and there are no stop bands for an interresonator power coupling ratio greater than 1/2. The evanescent modes that are important to the analysis of lattices with interrupted periodicity are also studied. The reported analysis is the prerequisite to the future study of superresonators consisting of large finite microring arrays.
Related Concept Videos
Standing Waves in a Cavity
Series Resonance
RLC Circuit as a Damped Oscillator
Consider a series RLC circuit. Here, the presence of resistance in the circuit leads to energy loss due to joule heating in the resistance. Therefore, the total electromagnetic energy in the circuit is no longer constant and decreases with time. Since the magnitude of charge, current, and potential difference continuously decreases, their oscillations are said to be damped. This is...
Series RLC Circuit without Source
Sound Waves: Resonance
Design Example: Underdamped Parallel RLC Circuit
Starting with a fixed...

