The behavior of electromagnetic waves in chirally twisted structures is a topic of enduring interest, dating back at least to the 1940s invention of the microwave travelling-wave-tube amplifier and culminating in contemporary studies of chiral metamaterials, metasurfaces, and photonic crystal fibers (PCFs). Optical fibers with chiral microstructures, drawn from a spinning preform, have many useful properties, exhibiting, for example, circular birefringence and circular dichroism. It has recently been shown that chiral fibers with -fold rotationally symmetric (symmetry group ) transverse microstructures support families of helical Bloch modes (HBMs), each of which consists of a superposition of azimuthal Bloch harmonics (or optical vortices). An example is a fiber with coupled cores arranged in a ring around its central axis ( -core single-ring fiber). Although this type of fiber can be readily modeled using scalar coupled-mode theory, a full description of its optical properties requires a vectorial analysis that takes account of the polarization state of the light, which is particularly important in studies of circular and vortical birefringence. In this paper, we develop, using an orthogonal 2D helicoidal coordinate system embedded in a cylindrical surface at constant radius, a rigorous vector coupled-mode description of the fields using local Frenet–Serret frames that rotate and twist with each of the cores. The analysis places on a firm theoretical footing a previous HBM theory in which a heuristic approach was taken, based on physical intuition of the properties of Bloch waves. After a detailed review of the polarization evolution in a single spiraling core, analysis of the -core single-ring system is carefully developed step by step. Accuracy limits of the analysis are assessed by comparison with the results of finite element modeling, focusing in particular on the dispersion, polarization states, and transverse field profiles of the HBMs. We believe this study provides clarity into what can sometimes be a rather difficult field and will facilitate further exploration of real-world applications of these fascinating waveguiding systems.
Controlling drug release rate and providing physical and chemical stability to the active pharmaceutical ingredient are key properties of oral solid dosage forms. Here, we demonstrate a formulation strategy using phase-separated polymer blends where the morphology provides a route for tuning the drug release profile. By utilising phase separation of a hydrophobic and a hydrophilic polymer, the hydrophilic component will act as a channelling agent, creating a porous network upon dissolution that will dictate the release characteristics. With ptychographic X-ray tomography and scanning transmission X-ray microscopy we reveal how the morphology depends on both polymer fraction and presence of drug, and how the drug is distributed over the polymer domains. Combining X-ray imaging results with dissolution studies reveal how the morphologies are correlated with the drug release and showcase how tuning the morphology of a polymer matrix in oral formulations can be utilised as a method for controlled drug release.
Localization of light in disordered or periodically structured dielectric media has been studied for many years. A recent example is coreless (i.e., defect‐free) photonic crystal fiber (PCF), which is observed to confine light when drawn in chiral form from a spinning preform. Although heuristic arguments based on a radially‐dependent photonic bandgap have been advanced, the underlying mechanism is not fully resolved. Here, a novel analytical model for twisted coreless PCF is presented, based on chiral arrays of coupled single‐mode step‐index sub‐cores in which chirality causes the effective axial refractive index of the cores to rise quadratically with radius. It produces results in excellent agreement with numerical solutions of Maxwell's equations, while offering orders of magnitude reductions in computational time. As a result it is possible to treat chiral structures with very large numbers of sub‐cores, to clarify the confinement mechanism, and to establish that exponentially localized helical Bloch modes (HBMs) do indeed form. As an example, localization in hexagonal and honeycomb lattices of chiral coupled sub‐cores is studied, and it is shown that in every case whole families of guided HBMs exist. The results open a new chapter in the 2D localization of light.
A major challenge in third harmonic generation and its converse, parametric down-conversion, is how to arrange phase matching between signals at and while maintaining a high nonlinear overlap. In this Letter, we present a design consisting of a nanostrand of glass with two hollow channels. The fundamental and third harmonic modal fields, enhanced in the region between the channels, have high nonlinear overlap, while the phase-matching wavelength can be coarse-tuned by gas pressure and fine-tuned by axial strain and mechanical twist, which, remarkably, have opposite effects. The ability to adjust the phase-matching condition may facilitate efficient generation of entangled photon triplets.