Complex Reflection Research Articles

From National to International Song: Sevdalinka in Transition

With the disintegration of the Socialist Federal Republic of Yugoslavia, the existence of different forms of Yugoslav identity, primarily cultural, as the most complex among them, ceased to exist, at least formally. The cause of this complexity should be sought in the intertwining of cultural identity with two other important collective identities, ethnic and national, whose already intricate nature is further complicated by their redefinition in the ex-Yugoslav space, both during the conflict (1991‒1995) and in the post-war era. The search for new collective identities – intended to provide the peoples of the former Yugoslavia, burdened with traumatic memories of the recent past and at the same time torn between the former ideology and emerging ones, with a sense of tranquility in newly created circumstances - is further complicated by their simultaneous efforts to cope with the sweeping changes in the world caused by the process of globalization. The states that emerged from the former Yugoslav republics are going through an uncertain period of transition in which they have to deal not only with numerous internal problems, but also to respond to numerous external demands. In spite of their fragmented political realities, these states remain closely connected, bound not only by a shared history but also by a common cultural heritage. A small yet significant part of this heritage is represented by sevdalinka, a song that embodies the intricate interplay of cultural, national and ethnic identities. These layers converge within sevdalinka, making it a distinctive reflection of the region's cultural complexity. Hence, in this paper sevdalinka will be presented during its ‒ from a historical point of view ‒ the shortest, but at the same time the most turbulent period of its long history, tracing all the transformations it has undergone over a little more than three decades while crossing the thorny path from a national to an international song, in order to be finally confirmed as a universal cultural and artistic creation.

The Role of Language in Thought Formation and Personality

Language is a communication tool that plays an important role in social life as a representation of minds and individual and group identity. Language consists of a series of sounds systemized in the form of symbols, and has free, significant, conventional, universal, productive, diverse, dynamic, and humane characteristics. As a communication tool, language allows individuals to interact in social groups, convey messages, and identify themselves in society. In addition, language reflects mental representation, where the form and structure of language follow or mimic minds and ideas. Language is also considered a personality trait that reflects an individual’s beliefs and values. This research aimed to increase understanding of the role of language as a communication tool, mind representation, and identity. The research method involved an in-depth literature review, analysis of linguistic data, and observation of social phenomena in everyday language use. The analysis used a descriptive and interpretive approach to understand the relationship between language, mind, and identity. The results showed that language not only functions as a tool to convey messages but also as a medium that reflects mindset, cultural values, and social identity. The choice of language code was closely related to language ethics, influenced by a community’s social and cultural rules. This research concluded that language was a reflection of human complexity in thinking, communicating, and building identity. Using language in accordance with language ethics contributed to forming a positive image of individuals in society.

Integral expressions for derivations of multiarrangements

The construction of an explicit basis for a free multiarrangement is not easy in general. Inspired by the integral expressions for quasi-invariants of the symmetric group, we present integral expressions for specific bases of certain multiarrangements. Our construction covers the cases of three lines in dimension [Formula: see text] (previously examined by Wakamiko) and free multiarrangements associated with complex reflection groups (Hoge, Mano, Röhrle, Stump). Furthermore, we propose a conjectural basis for the module of logarithmic vector fields of the extended Catalan arrangement of type [Formula: see text].

Application of CF and DMAS Technology to Improve the Quality of Reflector Images Reconstructed from Echoes Measured by an Antenna Array

Reliability and sensitivity of ultrasonic control is determined by the noise level of the reflector image and its resolution. Application of CF- or DMAS-technology in various combinations is promising, as these technologies are simple enough, practically do not require additional computational resources, are applied to echo signals measured by conventional flaw detectors working with antenna arrays. In numerical and model experiments it is demonstrated that the application of these methods allows to increase the resolution of reflector images more than twice and to reduce the noise level by more than 20 dB. In the numerical experiment it is shown that phase distortions due to complex refractive and reflection coefficients lead to the fact that even with precisely known parameters of the experiment when working on a direct beam on a transverse wave the indication of the crack tip can shift from its true position by about a wavelength. For the solution of defectometry tasks this is a very large error. But, if phase correction is performed when reconstructing the reflector image, the crack tip indication coincides with its real position. CF- and DMAS-technologies have shown their workability also when working with noisy echoes.

CAT(0) and cubulated Shephard groups

AbstractShephard groups are common generalizations of Coxeter groups, Artin groups, and graph products of cyclic groups. Their definition is similar to that of a Coxeter group, but generators may have arbitrary order rather than strictly order 2. We extend a well‐known result that Coxeter groups are to a class of Shephard groups that have ‘enough’ finite parabolic subgroups. We also show that in this setting, if the associated Coxeter group is type (FC), then the Shephard group acts properly and cocompactly on a cube complex. As part of our proof of the former result, we introduce a new criteria for a complex made of simplices to be .

Dielectric Response of Yttria–Zirconia Ordered Solids Within Density-Functional Theory in the Random-Phase Approximation

Despite the fact that yttria-stabilized zirconia has been studied experimentally by optical and electron energy-loss spectroscopies, a first-principles theoretical interpretation of the dielectric response and electronic excitations is still lacking. The present study reports calculations of the complex dielectric function, reflectivity spectrum and electron energy-loss function of two ordered yttria–zirconia compounds: Zr6Y2O15 and Zr3Y4O12. The adopted methodology is based on linear-response theory with a semilocal density functional and the random-phase approximation including local-field effects. Comparisons with existing experimental data show an acceptable agreement showcasing how the different yttria content affects dielectric properties and spectra lineshapes. Strong discrepancies with experimental data are mainly confined to the low-energy part of the optical spectra and concern both the peak positions and the lineshape intensities. The onset of the optical absorption is considerably underestimated from the calculations owing to the well-known deficiency of semilocal density functionals to describe the quasiparticle band gaps. The energy-loss spectra, instead, are reproduced extremely well provided that local-field effects are included in the response functions. These effects are particularly important for the description of the semicore Zr–4p and Y–4p excitations, which dominate for higher energies (>30 eV) in the valence region.

Илюзиите в антиутопията „Ние“ на Евгений Замятин, или критика на чистия разум

The article analyzes the illusions in Yevgeny Zamyatin’s dystopian novel “We” in relation to Kant’s transcendental dialectic, which explores the ideas of pure reason. Through an intertextual approach and comparative analysis methods, the study traces the connection between the philosophical work and the fictional world of the 20th-century novel through the lens of the four antinomies of pure reason. The research reveals multiple allusions and reminiscences to transcendental illusions in “The Critique of Pure Reason,” manifested in the artistic reinterpretation of Kant’s philosophical concepts. The analysis of antinomies uncovers fundamental oppositions in the novel between limitation and infinity, individuality and collectivity, freedom and submission, faith and denial. The results demonstrate that the novel transcends traditional dystopian criticism, evolving into a complex philosophical reflection on the dangers of reason’s absolutization. The study establishes how the artistic reimagining of Kantian philosophical concepts enables Zamyatin to problematize the idea of reason as the supreme criterion for human perfection. The research findings reveal that through examining the implicit relationship between the four pure reason antinomies and the novel’s narrative structure, Zamyatin creates a sophisticated critique of rational absolutism. This interpretation gains particular relevance in the context of contemporary technological progress and the drive toward rationalization of human life at the expense of emotionality and creative imagination.

The influence of age on brief motivational intervention for unhealthy alcohol use.

The influence of age on brief motivational interventions (BMI) effects remains unknown. In the present study, we explored whether change in alcohol consumption after BMI differs across age groups and whether these differences are reflected in motivational interviewing (MI) counsellor skills. Secondary analysis of a randomized controlled trial among emergency room (ER) patients screened for unhealthy alcohol consumption. Participants (N = 97, 80 % men, 18-21y: 19.6 %, 22-29y: 22.7 %, 30-49y: 34.0 % and ≥50y: 23.7 %) received a single BMI in the ER, which was coded using the MI Skills Code 2.0. Alcohol outcomes were measured at 12-month. First, we tested whether BMI effect varied by age group using negative binomial regression for weekly drinking consumption, and logistic regression for change to low-risk drinking. Second, MI counsellor skills (global ratings of empathy, MI spirit and acceptance, and percentages of open questions, complex reflections (CR) and MI-consistent behaviors) were examined through one-way ANOVA or Welch test. The 22-29y group i) reported lower consumption at follow-up compared to the 30-49y group (IRR=1.60, p = .04) and the ≥ 50y group (IRR=1.67, p = .03), and ii) was more likely to change to low-risk drinking than the 18-21y group (OR=11.25, p = .04). When comparing MI counsellor skills across age groups, higher empathy ratings (F(3,93)= 2.70, p = .05) and a higher percentage of CR (F(3,93)= 4.10, p = .009) were recorded for the 22-29y group. This exploratory study shows that BMI was associated with significantly better 12-month alcohol outcomes among patients aged 22-29 years, which corresponded with higher counsellor empathy ratings and percentage of CR.

Assessing motivational interviewing integrity in the Toddler Oral Health Intervention study.

The Toddler Oral Health Intervention (TOHI) was launched in 2017 to promote oral health prevention at well-baby clinics, with a focus on parents with children aged 6-48 months. This study aims to evaluate the integrity of motivational interviewing (MI) as one of the core intervention pillars in the TOHI study. The TOHI study was conducted at nine well-baby clinics in the central and southern regions of the Netherlands, with 11 trained oral health coaches (OHCs) delivering a tailored individual counselling programme. Audio recordings of counselling sessions were uploaded by the OHCs into an online portal for feedback and integrity evaluation purposes. A trained independent assessor evaluated MI integrity using the MITI 4.2.1 coding scale. IBM SPSS Statistics was used to analyse the data, with ratings on technical and relational components and behavior counts computed by adding up the scores and categorizing them into six key MI skills. Descriptive statistics, including frequencies, percentages and median scores with interquartile ranges, were calculated. The median ratings on the technical and relational components were 2.5 (IQR 2.0-3.5) and 3.5 (IQR 3.0-4.0) out of a maximum of 5, with 45% and 58% of recordings showing fair or good MI integrity, respectively. A median of 38% (IQR 25-55%) of complex reflections and a reflection-to-question ratio of 0.7 (IQR 0.4-1.0), with 47% and 24% of recordings showing fair or good MI integrity, respectively. Median counts of MI-adherent and non-adherent statements were 3.0 (IQR 2.0-5.0) and 0.0 (IQR 0.0-1.0), respectively. The duration of recordings and MI integrity varied among oral health coaches. Overall, this study revealed that, while intensive training was provided, not all OHCs in the TOHI study met fair thresholds for MI integrity. These findings emphasize the necessity of ongoing training, reflection and support to achieve and maintain a fair or good level of MI integrity in clinical practice.

Polarimetric BSSRDF Acquisition of Dynamic Faces

Acquisition and modeling of polarized light reflection and scattering help reveal the shape, structure, and physical characteristics of an object, which is increasingly important in computer graphics. However, current polarimetric acquisition systems are limited to static and opaque objects. Human faces, on the other hand, present a particularly difficult challenge, given their complex structure and reflectance properties, the strong presence of spatially-varying subsurface scattering, and their dynamic nature. We present a new polarimetric acquisition method for dynamic human faces, which focuses on capturing spatially varying appearance and precise geometry, across a wide spectrum of skin tones and facial expressions. It includes both single and heterogeneous subsurface scattering, index of refraction, and specular roughness and intensity, among other parameters, while revealing biophysically-based components such as inner- and outer-layer hemoglobin, eumelanin and pheomelanin. Our method leverages such components' unique multispectral absorption profiles to quantify their concentrations, which in turn inform our model about the complex interactions occurring within the skin layers. To our knowledge, our work is the first to simultaneously acquire polarimetric and spectral reflectance information alongside biophysically-based skin parameters and geometry of dynamic human faces. Moreover, our polarimetric skin model integrates seamlessly into various rendering pipelines.

ANALYSIS OF THE OUTPUT VOLTAGE SPEKTRUM OF A PARAMETRIC MICROWAVE CONVERTER

In this scientific paper, we have considered a method for determining the complex reflection coefficient based on spectral analysis of the output voltage of a parametric microwave converter.

The Mythical and Symbolic Dynamics of Tattooing in Melanie Fazi's Serpentine

This article offers a study of the mythical and symbolic dynamics of tattooing in Melanie Fazi's Serpentine, taking an approach based on the principles of mythocriticism. Far from being limited to an ornamental dimension, the tattoo in this novel becomes a central narrative medium, a vector of psychological and spiritual metamorphosis. By mobilizing the theories of Carl Jung on archetypes and Gilbert Durand on the symbolic imagination, the analysis reveals how magical inks – Mnemosyne, Somnifuge, Onirograph, Nocturne – update archetypal schemas, allowing the characters to transcribe their inner struggles in a cathartic approach. The body, thought of as a palimpsest, becomes the space for projecting unconscious anxieties and desires, thus articulating a dialectic between the visible and the invisible, the individual and the collective. The tattoo is then part of an initiatory logic, where the physical pain of the act represents a symbolic death and an identity rebirth. The article shows how Fazi redefines tattooing through a poetics of the body and myth, orchestrating a dialogue between ancestral motifs and contemporary issues of identity and memory. Serpentine thus presents itself as a complex reflection on transformation, rooted in a literary reinvention of universal archetypes.

Supersymmetric Quesne-Dunkl Quantum Mechanics on Radial Lines

Quantum deformations offer valuable perspectives into quantum mechanics, particularly by advancing our understanding of symmetry and algebraic structures.The Dunkl oscillator, which integrates Dunkl operators into the harmonic oscillator framework, advances the system’s algebraic properties and opens new approaches for exploring quantum phenomena. Supersymmetric quantum mechanics (SSQM) unifies bosonic and fermionic aspects and facilitates the construction of solvable models using generalized Dunkl operators. This paper introduces a new approach to the Dunkl oscillator, employing a complex reflection operator to deepen the understanding of its connection to Hermite polynomials on radial lines. The results offer new perspectives on the Dunkl oscillator’s algebraic structure and its relevance to SSQM and quantum deformation theory, expanding the potential for discovering solvable quantum models.

Complex Reflectivity Modulation Characteristics at Visible Wavelength Using Liquid Crystal on a Metasurface Device

Active metasurface device capable of complex modulation in the visible light range is demonstrated. To realize complex modulation, a liquid crystal (LC) of twisted nematic mode on a plasmonic antenna metasurface, where resonance wavelength is sensitive to its geometry and nearby optical environment, is integrated. For the LC process on the metasurface, the alignment characteristics of the material exposed to the LC on the metasurface are first identified and the polyimide alignment layer is omitted. The LC works in twisted nematic mode to enhance complex modulation characteristics. The complex reflectivity coefficient is measured while varying the voltage applied to both the antenna and metal electrode in the visible light region. Complex reflectivity into a doughnut shape with a small voltage variation of 3.1 V on the antenna electrode and 2.5 V on the metal electrode is successfully modulated. The largest complex modulation is achieved at a wavelength of 660 nm, with phase and reflectivity amplitude modulations of 0–2π radian in a doughnut shape and 0.3 and 0.6, respectively. So far true holographic experience is limited by high‐order overlapping and twin images. Through this approach, a technical method is suggested for overcoming such obstacles and accomplishing advanced holographic display.

Investigations of optoelectronic and scintillating properties of novel halide perovskites Cs2KSnX6 (X=Cl, Br, I)

In this paper, using density functional theory (DFT) formalism, optoelectronic properties of new halide perovskites Cs2KSnX6 (X = Cl, Br, I) are explored. The lattice constants of these double perovskites with Cl,Br, and I were found to be 11.75Å,12.34Å, and 13.24Å, respectively. Trans-Blaha modified Becke-Johnson (TB-mBJ) exchange-correlation functional was used to calculate the energy bandgap by incorporating spin-orbital coupling effects into it. The double perovskite with Cl was observed to possess a higher band gap value due to the increase in the size of halide anions. Due to the inverse relationship between bandgap values and lattice constants, it has been observed that increasing the lattice constant value results in the decrease of the electronic band gap and vice versa. From the density of states calculations, the nature of the electronic states involved in forming the energy bands has been determined. The upper light yield (LY) with the limit of 100 % under ideal conditions is found to be 544217 ph/MeV, 950118 ph/MeV, and 1600000 ph/MeV for Cs2KSnCl6,Cs2KSnBr6, and Cs2KSnI6 respectively, which suggests their potential applications in scintillating devices. Moreover, the optical properties like complex dielectric functions, absorption coefficients, reflectivity, and refractive index are calculated for these new proposed compounds. A systematic analysis of the optical and scintillating properties suggests the usefulness of Cs2KSnI6 among other compounds, as a potential candidate for high-energy radiation detection and other optoelectronic applications.

Transmission of an optical wave through a multilayer structure with dispersive chiral layers

Background. The using of mirror asymmetric chemical compounds for doping quartz makes it possible to metamaterial creation that has the chirality property. In such a compositional structure, unusual effects may arise when interacting with an optical wave. Aim. We calculate the transmission and reflection of a linearly polarized optical wave through a multilayer structure consisting of two doped quartz glasses separated by two air gaps. Methods. Based on a homogeneous mathematical model of a chiral metamaterial, taking into account the dispersion of the dielectric constant and the chirality parameter based on the matrix method, a system of linear algebraic equations is obtained for the complex reflection and transmission coefficients of an electromagnetic wave of linear polarization. Results. An analysis of the frequency and angular characteristics of the modules of the reflection and transmission coefficients was carried out at various values of the quartz doping level. It is theoretically predicted that at some wavelengths, most of the incident optical energy can be concentrated in the air gaps of the multilayer structure. Conclusion. The data obtained as a result of calculations can be used in the development of planar structures for frequency-selective concentration of energy in the visible and infrared spectrum based on quartz glasses doped with chiral chemical compounds.

Free Reflection Multiarrangements and Quasi-Invariants

Abstract To a complex reflection arrangement with an invariant multiplicity function one can relate the space of logarithmic vector fields and the space of quasi-invariants, which are both modules over invariant polynomials. We establish a close relation between these modules. Berest–Chalykh freeness results for the module of quasi-invariants lead to new free complex reflection multiarrangements. Saito’s primitive derivative gives a linear map between certain spaces of quasi-invariants. We also establish a close relation between non-homogeneous quasi-invariants for root systems and logarithmic vector fields for the extended Catalan arrangements. As an application, we prove the freeness of Catalan arrangements corresponding to the non-reduced root system $BC_{N}$.

‘Am I resistant to a military wife identity? Maybe not entirely’: Animating life history interviews as fictive diaries

In recent years academics have questioned how findings may be presented in ways that centre the complex, rich and nuanced reflections heard and felt in qualitative research – and if this is even possible. We are witnessing a creative turn as ‘data’ is being translated into art-forms to reach wider audiences in sensory formats. Such endeavours open opportunities to move beyond the confines of conventional practices of academic writing, creating space for rethinking how we might attempt to show the textured and felt stories shared by participants. In the spirit of these endeavours, this article explores the opportunities afforded by authoring life history interviews into fictive diaries. Through doing so, this article argues that research could be animated in this way to show the complex emotionality and temporality that underpins participant narratives, perhaps even evoking an emotional, empathetic, response in the reader as they are drawn into participants’ stories.

3D electromagnetic simulation of the coupling characteristics and double-stub Ferrite tuners impedance matching for EAST ICRH four-strap antenna

A program developed with COMSOL software integrates EAST four-strap antenna coupling with the double-stub Ferrite tuners (FT) impedance matching, obtaining physical quantities crucial for predicting the overall performance of the ion cyclotron resonance heating (ICRH) antenna and matching system. These quantities encompass S-matrix, port complex impedance, reflection coefficients, electric field and voltage distribution, and optimal matching settings. In this study, we explore the relationship between S-matrix, reflection coefficients, port complex impedance, and frequency. Then, we analyze the impact of Faraday screens placement position and transparency, the distance from the Faraday screen (FS) to the current straps (CS), the relative distance between ports, and the characteristic impedance of the transmission line on the coupling characteristic impedance of the EAST ICRH system. Finally, we simulate the electric field distribution and voltage distribution of the EAST ICRH system for plasma heating with double-stub FT impedance matching. Using optimized parameters, the coupling power of the ICRH system can be approximately doubled. The results present herein may offer guidance for the design of high-power, long-pulse operation ICRH antenna systems.

Hue Guidance Network for Single Image Reflection Removal.

Reflection from glasses is ubiquitous in daily life, but it is usually undesirable in photographs. To remove these unwanted noises, existing methods utilize either correlative auxiliary information or handcrafted priors to constrain this ill-posed problem. However, due to their limited capability to describe the properties of reflections, these methods are unable to handle strong and complex reflection scenes. In this article, we propose a hue guidance network (HGNet) with two branches for single image reflection removal (SIRR) by integrating image information and corresponding hue information. The complementarity between image information and hue information has not been noticed. The key to this idea is that we found that hue information can describe reflections well and thus can be used as a superior constraint for the specific SIRR task. Accordingly, the first branch extracts the salient reflection features by directly estimating the hue map. The second branch leverages these effective features, which can help locate salient reflection regions to obtain a high-quality restored image. Furthermore, we design a new cyclic hue loss to provide a more accurate optimization direction for the network training. Experiments substantiate the superiority of our network, especially its excellent generalization ability to various reflection scenes, as compared with state-of-the-arts both qualitatively and quantitatively. Source codes are available at https://github.com/zhuyr97/HGRR.