Dispersion properties of Kolakoski-cladding hollow-core nanophotonic Bragg waveguide

Abstract

A comprehensive analysis of guided modes of a novel type of a planar Bragg reflection waveguide that consists of a low refractive index guiding layer sandwiched between two finite aperiodic mirrors is presented. The layers in the mirrors are aperiodically arranged according to the Kolakoski substitution rule. In such a waveguide, light is confined inside the core by Bragg reflection, while dispersion characteristics of guided modes strongly depend on aperiodicity of the cladding. Using the transfer matrix formalism bandgap conditions, dispersion characteristics and mode profiles of the guided modes of such a waveguide are studied on the GaAs/AlAs and Si/SiO 2 epitaxial platforms, which are compatible with hybrid and heteroepitaxial frameworks of silicon photonics.

Bifocal diffractive lenses based on the aperiodic Kolakoski sequence

“…In this paper, we present a new family of aperiodic ZPs arranged according to the rules of the Kolakoski sequence 41 . This self-generating sequence has been applied in several branches of science and engineering, as for example in the context of photonic 42 and magneto-photonic 43 crystals, polymer science 44 , nanophotonic waveguides 45 , and applied mathematics 46 , among others. Here we present the first diffractive lenses based on this formalism and an analytical expression for the transmittance function is derived.…”

“…waveguides 45 , and applied mathematics 46 , among others. Here we present the first diffractive lenses based on this formalism and an analytical expression for the transmittance function is derived.…”

On-Demand Fully Enclosed Superhydrophobic–Optofluidic Devices Enabled by Microstereolithography

“…There are two ways to reduce the optical loss: one is to choose the appropriate materials of core and cladding layers to maximize the difference of the refractive indexes, 9 and the other option is to utilize a complex cladding layer. 10 The latter method is more robust as the refractive index of the analyte is typically low and cannot be easily tuned.…”

“…The principle of TIR is when the incident light goes from the core layer to the cladding layer with an incident angle that is less than the critical incident angle, the light would be totally reflected. There are two ways to reduce the optical loss: one is to choose the appropriate materials of core and cladding layers to maximize the difference of the refractive indexes, and the other option is to utilize a complex cladding layer . The latter method is more robust as the refractive index of the analyte is typically low and cannot be easily tuned.…”

On-Demand Fully-Enclosed Superhydrophobic-Optofluidic Device Enabled by High Precision Microstereolithography

“…The principle of TIR is when the incident light goes from the core layer to the cladding layer with an incident angle that is less than the critical incident angle, the light would be totally reflected. There are two ways to reduce the optical loss: one is to choose the appropriate materials of core and cladding layers to maximize the difference of the refractive indexes 9 ; The other option is to utilize a complex cladding layer 10 . The latter method is more robust as the refractive index of the analyte is typically low and cannot be easily tuned.…”