We utilize a novel coupled-waves approach to design and analyze various types of annular resonators based on Bragg and photonic crystal reflectors. Optimal grating profiles and their corresponding modal fields are found for specific cases such as disk and defect mode (ring) resonators. An excellent match is found between our analytic approximations and exact results obtained by the transfer mat...

We demonstrate that nonlinear magnetic metamaterials comprised of a lattice of weakly coupled split-ring resonators driven by an external electromagnetic field may support entirely new classes of spatially localized modes--knotted solitons, which are stable self-localized dissipative structures in the form of closed knotted chains. We demonstrate different topological types of stable knots for ...

We demonstrate narrow transmission resonances at near-infrared wavelengths utilizing coupled asymmetric split-ring resonators (SRRs). By breaking the symmetry of the coupled SRR system, one can excite dark (subradiant) resonant modes that are not readily accessible to symmetric SRR structures. We also show that the quality factor of metamaterial resonant elements can be controlled by tailoring ...

Here, we propose an optical filter and an optical power splitter based on two-dimensionalphotonic crystal all circular ring resonators. These structures are made of a square lattice ofsilicon rods with the refractive index n1=3.464 surrounded by air (with refractive indexn2=1). First, we have designed the filter and by using that, we designed a power splitter. Thetransmission efficiency and Qua...

A highly programmable optical filter architecture is designed and a unit cell building block is fabricated in InP-InGaAsP with tunable inter-ring couplers. Simulated and measured bandpass filter responses for the 3-ring structure are presented. ©2010 Optical Society of America OCIS codes: 230.5750 Resonators, 250.5300 Photonic integrated circuits

In classical mechanics, it is well known that a system consisting of two identical pendulums connected by a spring will steadily oscillate with two modes: one at the fundamental frequency of a single pendulum and one in which the frequency increases with the stiffness of the spring. Inspired by this physical concept, we present an analogous approach that uses two metamaterial resonators to real...

The propagation loss in compact silicon microring resonators is optimized with varied ring widths as well as bending radii. At the telecom band of 1.53-1.57 mum, we demonstrate as low as 3-4 dB/cm propagation losses in compact silicon microring resonators with a small bending radius of 5 mum, corresponding to a high intrinsic quality factor of 200,000-300,000. The loss is reduced to 2-3 dB/cm f...

A silicon electro-optic modulator based on coupled microring resonators is proposed. The dual-ring modulator has wide optical bandwidth, high extinction ratio and low insertion loss. A simple integrated circuit connecting the two rings allows for fast modulation speed of >40 Gbit/s. This device has both improved optical and electrical performance over a single-ring modulator. The dual-ring modu...