Resonant Perturbations Research Articles

Acoustically Forced Droplet Combustion of Liquid Fuel with Reactive Aluminum Nanoparticulates

ABSTRACTThis experimental study explores the effects of acoustic excitation on burning droplets of liquid ethanol loaded with reactive aluminum nanoparticles (nAl). Continuously fed fuel droplet combustion and flame extinction (blowout) experiments were conducted in the vicinity of a pressure node (or velocity antinode) created in a closed acoustic waveguide, with a range of applied resonant forcing frequencies, pressure or velocity perturbation amplitudes, and particle loading concentrations. Simultaneous phase-locked OH* chemiluminescence and visible images were taken to quantify the influence of nanoparticle concentration on burning rate constant (K) and flame-acoustic coupling dynamics. In the presence of velocity perturbations, nAl-laden droplets were observed to burn for longer periods of time than they burned in the absence of acoustics, likely resulting from suppression of particle agglomerate formation and expulsion. It was found that at higher forcing frequencies, there were relatively greater enhancements in K values of nAl-loaded droplets than for lower frequencies. Interestingly, while at higher forcing amplitudes, the burning rate constant increased for a given loading concentration, that increase tended to be reduced at higher loading concentrations. Phase-locked imaging demonstrated that the presence of nAl increased the Rayleigh index (G) as compared with neat fuels under the same forcing conditions. Higher amplitude excitation leading to extinction showed that the addition of nAl could significantly increase the mean extinction strain rate, in some cases by up to 44%.

Oil behavior in sea ice: Changes in chemical composition and resultant effect on sea ice dielectrics

There has been increasing urgency to develop methods for detecting oil in sea ice owing to the effects of climate change in the Arctic. A multidisciplinary study of crude oil behavior in a sea ice environment was conducted at the University of Manitoba during the winter of 2016. In the experiment, medium-light crude oil was injected underneath young sea ice in a mesocosm. The physical and thermodynamic properties of the oil-infiltrated sea ice were monitored over a three-week time span, with concomitant analysis of the oil composition using analytical instrumentation. A resonant perturbation technique was used to measure the oil dielectric properties, and the contaminated sea ice dielectric properties were modeled using a mixture model approach. Results showed that the interactions between the oil and sea ice altered their physical and thermodynamic properties. These changes led to an overall decrease in sea ice dielectrics, potentially detectable by remote sensing systems.

Dielectric replica measurement: a new technique for obtaining the complex permittivity of irregularly shaped objects

Dielectric measurements provide valuable information about the properties of materials, and could be used to classify and identify the source of objects in fields such as archaeology. Current methods of identification are all partly destructive, so an innovative electromagnetic method developed by the authors, based on resonant cavity perturbation (RCP), provides an attractive, non-destructive alternative. A problem with traditional RCP is that the changes in frequency and Q-factor vary with the object’s shape; however, we overcome this by creating a replica of the object, from a material whose dielectric properties are known. Then, by combining three separate perturbations with orthogonal field directions, due firstly to the object and then to its replica, we eliminate the shape dependency, and thus determine the object’s dielectric constant and loss factor. After developing the theory of this novel DRM technique, we demonstrate the principle using a set of geometric shapes made in both polytetrafluoroethylene and a 3D printed material. Further measurements then enable second-order terms to be included in the model, improving its accuracy. Finally, DRM is shown to be capable of distinguishing two irregularly shaped objects of different materials. Potential applications of DRM include determining the provenance of pottery, glasses and flints, and distinguishing ivory from bone. These would be of interest to customs and environmental agencies, as well as museum curators and archaeologists.

Vector rogue waves on a double-plane wave background

We study the dynamics of rogue waves on a double-plane wave background in two-component coupled systems. The results indicate that many different patterns can still be evolved from resonant perturbations with the two plane waves background. The obtained vector rational solutions can be decomposed into two rational solutions located on the two plane waves separately. This enables us to investigate the superposition of several well-known fundamental rogue wave patterns, mainly including eye-shaped, anti-eye-shaped, and four-petaled one. The explicit conditions for different possible superpositions are clarified by a phase diagram. The analysis indicates that the obtained rational solution described patterns admit many different profiles, in contrast to the ones reported before. The studies can be extended to investigate other localized waves on double-plane wave backgrounds and even more plane waves involved cases in multi-component coupled systems.

Rapid Characterization of Powder Mixtures through High Q Dielectric Resonator

In this research work a high quality factor cylindrical dielectric resonator is used to determine the dielectric properties of powder mixtures. The setup is based on resonant perturbation theory and it has a potential to quickly and accurately characterize samples in quantities as small as a tens of milligrams. The loaded quality factor of the proposed dielectric resonator is 19,217, which is operated in TM01δ mode at 10.57 GHz. The measured results are compared with the calculated values obtained from different mixing models. The worst case measured dielectric constant error of 9.4% and 9.95% has been observed for mixtures of boric acid – titanium dioxide and baking soda – titanium dioxide respectively with variable concentrations of weight. The proposed technique is suitable to be deployed in industries in order to rapidly assess the mixture concentration before subjected to the detail investigation.

Microwave field: High temperature dielectric properties and heating characteristics of waste hydrodesulfurization catalysts.

The exploration of the dielectric properties of waste hydrodesulfurization catalysts has important guiding significance for the development of microwave heat treatment of waste hydrodesulfurization catalysts for the recovery of valuable metals. The resonant cavity perturbation technique was used to measure the dielectric properties of waste catalyst and the mixture of waste catalyst and Na2CO3 during roasting from room temperature to 700 °C at 2450 MHz. The heating properties of the waste catalyst and mixture of waste catalyst and Na2CO3 were determined in the microwave field. The results show that the waste catalyst and the mixture of waste catalyst and Na2CO3 exhibit strong microwave response capability, and the dielectric constant, dielectric loss factor, and dielectric loss tangent increase with increasing temperature; from 20 to 300 °C, the waste catalyst and the mixture of waste catalyst and Na2CO3 heated at a slower rate, while the material heated rapidly from 300 to 700 °C. In addition, the mechanism of microwave action has been proposed based on the study of dielectric properties and heating properties in the microwave field.

Microwave strengthens decomposition of mixed rare earth concentrate: Microwave absorption characteristics

The potential application of microwave heating technology for processing the mixed rare earth concentrate was systematically investigated by analyzing the microwave absorption characteristics in this study. The complex permittivity was measured through resonant cavity perturbation method. The variations of permittivity, the loss factor, loss tangent and the penetration depth with the increasing temperature were investigated numerically. The results indicate that the permittivity increases as the temperature increases, and temperature has a pivotal effect on it. The mixed concentrate is high loss material at the temperature range from 600 to 800 °C according to theoretical analyses of loss tangent and penetration depth. The results of phase transition analysis prove that the variation of microwave absorption characteristics of mixed concentrate is caused by the changes of crystal and lattice structures. The reflectivity, loss factor and penetration depth of the mixed concentrate were also calculated, and the results indicate that processing the mixed concentrate by microwave heating is of high feasibility and industrial potential.

Human Body Water Composition Measurement:Methods and Clinical Application

Being the largest single component of the human body,water is essential for life. Disease can lead to salt and water imbalance, and it is particularly important to measure the content and distribution of water in body. The current body water measurement methods are still not mature,and it's even hard to measure extracellular and intracellular water. Isotope dilution method(ID),bioelectrical impedance analysis(BIA),skinfold thickness measurement,and resonant cavity perturbation(RCP)are the commonly used methods for measuring human body water composition. This paper analyzes the advantages and disadvantages of these methods and concludes that all these four methods can be used to measure total body water;more specifically,ID and BIA can measure extracellular water and intracellular water,whereas BIA is more suitable for clinical applications such as monitoring of fluid balance,guiding of fluid management,assessment of lymphedema and nutritional risk,and management of obesity. Body water measurement will play more important roles in diagnosis,prevention,treatment,and prognosis of diseases.

Unique N-terminal extension domain of human asparaginyl-tRNA synthetase elicits CCR3-mediated chemokine activity

Asparaginyl-tRNA synthetase (NRS) is not only essential in protein translation but also associated with autoimmune diseases. Particularly, patients with antibodies that recognize NRS often develop interstitial lung disease (ILD). However, the underlying mechanism of how NRS is recognized by immune cells and provokes inflammatory responses is not well-understood. Here, we found that the crystal structure of the unique N-terminal extension domain of human NRS (named as UNE-N, where -N denotes NRS) resembles that of the chemotactic N-terminal domain of NRS from a filarial nematode, Brugia malayi, which recruits and activates specific immune cells by interacting with CXC chemokine receptor 1 and 2. UNE-N induced migration of CC chemokine receptor 3 (CCR3)-expressing cells. The chemokine activity of UNE-N was significantly reduced by suppressing CCR3 expression with CCR3-targeting siRNA, and the loop3 region of UNE-N was shown to interact mainly with the extracellular domains of CCR3 in nuclear magnetic resonance perturbation experiments. Based on these results, evolutionarily acquired UNE-N elicits chemokine activities that would promote NRS-CCR3-mediated proinflammatory signaling in ILD.

High sensitivity cavity ring down spectroscopy of the ν1 + 4ν3 band of NO2 near 1.34 µm

The very weak ν1+4ν3 Β-type absorption band of nitrogen dioxide (14N16O2) is newly detected by high sensitivity continuous wave-cavity ring down spectroscopy between 7376 and 7550 cm−1. The noise equivalent absorption of the recordings is αmin ≈ 1 × 10−10 cm−1. The ν1+4ν3 band is the highest energy B-type absorption band of NO2 detected so far by absorption within the ground electronic state. More than 800 lines are assigned with rotational quantum numbers N and Ka up to 50 and 7, respectively, what corresponds to 1117 spin-rotation-vibration transitions. No resonance perturbation of the spectrum was observed. The fitted set of the effective Hamiltonian parameters reproduces the observed line positions with an rms of 3.7 × 10−3 cm−1. A selected set of measured line intensities are used to determine the effective dipole moment parameters including two Herman-Wallis type parameters. The rms deviation of the intensity fit is 15.2%.

Parametric nonlinear singular Dirichlet problems

We consider a nonlinear parametric Dirichlet problem driven by the p-Laplacian and a reaction which exhibits the competing effects of a singular term and of a resonant perturbation. Using variational methods together with suitable truncation and comparison techniques, we prove a bifurcation-type theorem describing the dependence on the parameter of the set of positive solutions.

White dwarf pollution by asteroids from secular resonances

In the past few decades, observations have revealed signatures of metals polluting the atmospheres of white dwarfs. The diffusion timescale for metals to sink from the atmosphere of a white dwarf is of the order of days for a hydrogen-dominated atmosphere. Thus, there must be a continuous supply of metal-rich material accreting onto these white dwarfs. We investigate the role of secular resonances that excite the eccentricity of asteroids allowing them to reach star-grazing orbits leading them to tidal disruption and the formation of a debris disc. Changes in the planetary system during the evolution of the star lead to a change in the location of secular resonances. In our Solar System, the engulfment of the Earth will cause the $\nu_6$ resonance to shift outwards which will force previously stable asteroids to undergo secular resonant perturbations. With analytic models and $N$--body simulations we show that secular resonances driven by two outer companions can provide a source of continuous pollution. Secular resonances are a viable mechanism for the pollution of white dwarfs in a variety of exoplanetary system architectures.

Estimation of orbit island width from static magnetic island width, using safety factor and orbit pitch

In order to account for the effect of field perturbations on the transport of fast ions in integrated codes used for the simulation of operational scenarios, it is crucial to develop computationally efficient reduced transport models. Such modeling efforts may greatly benefit from a simple method that determines the width of the island-like structures, which are produced by resonant perturbations in the phase space of the fast ion guiding centers and are known to play a key role for fast ion transport enhancement. In this paper, we present a method for estimating the widths of such ‘orbit islands’ for passing particles in the presence of static magnetic perturbations. The method consists of mapping the boundaries of magnetic islands from magnetic flux space () into the canonical angular momentum space () of the fast ions. As a working example, we consider co-passing neutral beam (NB) ions subject to a resonant magnetic perturbation (RMP) in a KSTAR tokamak plasma. The estimated orbit island width deviates by less than 25% from the value obtained from Poincaré plots of the actual guiding center trajectories, even when the magnetic drifts are large (here, up to 50% of the minor radius). Our analysis also shows that most of the fast ion transport can be attributed to the effect of isolated islands, which means that stochastization of particle trajectories due to resonance overlaps does not play a major role in the case studied here. The island mapping method proposed here eliminates the need to compute and analyze Poincaré maps of particle trajectories, so that computation times can be reduced tremendously by several orders of magnitude. A further speed-up may be achieved by the development of a method for estimating the width of magnetic islands under realistic conditions.

Symplectic Maps for Diverted Plasmas

Nowadays, divertors are used in the main tokamaks to control the magnetic field and to improve the plasma confinement. In this article, we present analytical symplectic maps describing Poincar\'e maps of the magnetic field lines in confined plasmas with a single null poloidal divertor. Initially, we present a divertor map and the tokamap for a diverted configuration. We also introduce the Ullmann map for a diverted plasma, whose control parameters are determined from tokamak experiments. Finally, an explicit, area-preserving and integrable magnetic field line map for a single-null divertor tokamak is obtained using a trajectory integration method to represent toroidal equilibrium magnetic surfaces. In this method, we also give examples of onset of chaotic field lines at the plasma edge due to resonant perturbations.

Plasma Response to Resonant Perturbations at Tokamak Edge

In certain circumstances, plasma response suppresses magnetic islands expected at perturbed resonant magnetic surfaces. We investigate the plasma response to the resonant magnetic perturbations in a large aspect ratio tokamak perturbed by external resonant helical windings, considering polar toroidal coordinates for which analytical toroidal equilibrium solutions and perturbing fields are available. We apply an empirical approach to mimic the plasma screening effects by introducing presumed plasma current sheets on the resonance surfaces to cancel the RMP effects. Numerical examples show the effect of plasma response reducing magnetic islands at the plasma edge and also regularizing field lines around the resonant surface. The distribution of connection lengths along the plasma cross section indicates that the plasma response increases the connection lengths since more toroidal turns are performed until a field line reaches the tokamak wall.

Glucose solution concentration detection using TE011 microwave resonant cavity

ABSTRACTIn this paper, a glucose solution concentration measurement method is proposed based on microwave resonant cavity perturbation technique. The mathematical model of TE011 cylindrical resonator in terms of solution concentration is derived. The optimal geometry of cavity is determined by high frequency structure simulator. A brass cavity with a PVC capillary tube is produced in this study. A microwave measurement system consisting of resonator, waveguide and network analyzer is constructed to measure glucose concentrations from 70 to 150 mg/dl, using frequency range 7.539–7.546 GHz. Statistical results indicate that the resonant frequency of solution increases linearly as glucose concentration increases. Frequency shift slope (FSS) of experiment is in good accordance with the FSS of theoretical calculation, which shows the feasibility and accuracy of the method.

Single-Phase PFC Converter Using Switched Capacitor for High Voltage DC Applications

This paper presents a single-stage nonisolated switched capacitor ac–dc converter for power-factor correction (PFC). This converter features reduced passive components, single switch, transformerless high voltage gain, and improves the power factor, reduces total harmonic distortion, and voltage stress across the switch. The peak current mode with a dynamic resonant perturbation scheme compensates the subharmonics that exist at zero crossing of the source current is implemented for PFC. In this paper, the principle of operation, large signal modeling of the circuit, and control method for the proposed PFC converter are provided.

Modal expansions in periodic photonic systems with material loss and dispersion

We study bandstructure properties of periodic optical systems composed of lossy and intrinsically dispersive materials. To this end, we develop an analytical framework based on adjoint modes of a lossy periodic electromagnetic system and show how the problem of linearly dependent eigenmodes in the presence of material dispersion can be overcome. We then formulate expressions for the bandstructure derivative $(\partial \omega) / (\partial \mathbf{k})$ (complex group velocity) and the local and total density of transverse optical states. Our exact expressions hold for 3D periodic arrays of materials with arbitrary dispersion properties and in general need to be evaluated numerically. They can be generalized to systems with two, one or no directions of periodicity provided the fields are localized along non-periodic directions. Possible applications are photonic crystals, metamaterials, metasurfaces composed of highly dispersive materials such as metals or lossless photonic crystals, metamaterials or metasurfaces strongly coupled to resonant perturbations such as quantum dots or excitons in 2D materials. For illustration purposes, we analytically evaluate our expressions for some simple systems consisting of lossless dielectrics with one sharp Lorentzian material resonance. Finally, we show how the perturbation of a periodic system with a sharp resonance modifies the bandstructure. By combining several Lorentz poles, this provides an avenue to perturbatively treat quite general material loss bands in photonic crystals.

New Constraints on Gliese 876—Exemplar of Mean-motion Resonance

Abstract Gliese 876 harbors one of the most dynamically rich and well-studied exoplanetary systems. The nearby M4V dwarf hosts four known planets, the outer three of which are trapped in a Laplace mean-motion resonance. A thorough characterization of the complex resonant perturbations exhibited by the orbiting planets, and the chaotic dynamics therein, is key to a complete picture of the system’s formation and evolutionary history. Here we present a reanalysis of the system using 6 yr of new radial velocity (RV) data from four instruments. These new data augment and more than double the size of the decades-long collection of existing velocity measurements. We provide updated estimates of the system parameters by employing a computationally efficient Wisdom–Holman N-body symplectic integrator, coupled with a Gaussian process (GP) regression model to account for correlated stellar noise. Experiments with synthetic RV data show that the dynamical characterization of the system can differ depending on whether a white-noise or correlated-noise model is adopted. Despite there being a region of stability for an additional planet in the resonant chain, we find no evidence for one. Our new parameter estimates place the system even deeper into resonance than previously thought and suggest that the system might be in a low-energy, quasi-regular double apsidal corotation resonance. This result and others will be used in a subsequent study on the primordial migration processes responsible for the formation of the resonant chain.

Permittivity sensing and measurement with novel split ball resonator using E‐field perturbation technique

AbstractA method of designing low‐loss split‐ball resonator (SBR) for permittivity sensing and measurement at microwave frequencies using resonant perturbation technique is being presented. SBR geometry strengthens electric field in the capacitive region by confining greater resonant energy in the split. Enhanced sensitivity by virtue of potent electric field enabled us to sense and measure permittivity of common polar solvents (methanol and ethanol). Comparative analysis, eigenmode simulations, and empirical measurements exhibited improved sensitivity of SBR. The solution of Maxwell equations for boundary conditions before and after material perturbation produce expressions, which lead to permittivity evaluation.