arXiv subjects

Nikolay Solodovchenko

Publications and source records attributed to Nikolay Solodovchenko.

12 recordsLinked to original sources

arXiv2026

Exceptional Points in Photonics: From Non-Hermitian Physics to Applications

Open photonic systems provide a versatile platform for non-Hermitian physics, enabling control over complex spectra, transport, and light-matter interactions. Exceptional points (EPs), at which eigenvalues and eigenvectors coalesce and the governing operator becomes defective, play a central role because they combine branch-point spectral topology, nonanalytic perturbative response, and controllable eigenstate conversion. This Review provides a unified framework for EP photonics by systematically distinguishing exceptional degeneracies according to the underlying operator, spectral variable, boundary conditions, and experimentally accessible observables. We discuss Hamiltonian EPs, absorbing EPs associated with scattering zeros, real-frequency scattering-matrix and Jones-matrix EPs, Bloch and Floquet EPs, and Liouvillian EPs in open quantum systems. We review their spectral topology, static and dynamical encircling, higher-order exceptional structures, and coexistence with bound states in the continuum, together with applications in sensing, lasing, coherent absorption, directional scattering, polarization and wavefront control, nonlinear optics, optical storage, nonreciprocal photonics, and quantum photonics. We also critically assess the current limitations, practical challenges, and future perspectives of EP-based photonic technologies, with particular attention to robustness, noise, scalability, and experimentally measurable performance.

physics.optics↗

arXiv2026

Resonant state expansion for acoustic resonators. Part I. Eigenvalue problem

Resonant-state expansion (RSE) is a powerful modal framework for the perturbative analysis of open resonant systems, providing direct access to complex eigenfrequencies and eigenmodes. While RSE is well developed in electromagnetism, a comparably systematic formulation for acoustics remains less established. Here, we develop a general Green-function-based formalism for acoustic RSE and illustrate it for a class of two-dimensional acoustic resonators. Using the resonant states of an analytically solvable cylindrical reference system as a basis, we derive explicit perturbation matrix elements for uniform, radial, and sectoral variations of density and compressibility, representing homogeneous tuning, graded profiles, and symmetry-induced modal coupling. The resulting complex eigenfrequencies and eigenmodes are validated against exact analytical solutions and finite-element simulations, showing excellent quantitative agreement. The framework provides a systematic and physically transparent approach for analyzing perturbed open acoustic resonators and establishes a basis for resonant-state methods in acoustic metamaterials and non-Hermitian acoustics.

physics.comp-ph↗

arXiv2026

Resonant state expansion for acoustic resonators. Part II. Scattering problem

We develop a resonant-state expansion formulation for acoustic scattering by individual resonators. The scattered pressure and particle-velocity fields are expanded over the resonant states of the system, with excitation amplitudes determined by overlap integrals between the incident field and the resonant states over the resonator volume. Using the acoustic energy flux, we derive expressions for the extinction, scattering, and absorption cross-sections and show that the extinction spectrum can be resolved into contributions from individual resonant states. The formulation is first validated for a homogeneous two-dimensional cylinder, where it reproduces the analytical Mie-theory solution. We then consider a sectorally perturbed cylinder with coupled azimuthal modes and demonstrate agreement with finite-element simulations. Finally, we combine the eigenvalue and scattering formulations for a material-programmed hard-wall annular metaatom and reproduce its scattering spectra and near fields. The developed framework provides a physically transparent modal approach to acoustic scattering by open resonators with reduced symmetry and spatially structured material parameters.

physics.comp-ph↗

arXiv2025

Sensing with Broken Symmetry: Revisiting Bound States in the Continuum

Metasurface with bound states in the continuum (BICs) offer exceptional potential for optical sensing due to their inherently high quality (Q) factors. However, the detection of symmetry-protected BICs remains experimentally challenging due to their non-radiative nature. Introducing slight asymmetry makes these resonances observable, though it reduces the Q-factor. In real devices, intrinsic material losses further affect the resonance behavior and sensing performance. While it is often assumed that sensing is optimized at the critical coupling when radiative and non-radiative losses are balanced, the precise conditions for achieving the best limit of detection (LOD) and figure-of-merit (FOM) remain under active discussion. In this work, we experimentally and theoretically investigate BIC-based sensing in the terahertz (THz) range. We demonstrate that the LOD exhibits a non-monotonic dependence on asymmetry, reaching an unexpected optimum where radiative and non-radiative losses are not equal. Moreover, we show that this optimum differs between reflection and transmission sensing schemes. Our results provide practical guidelines for optimizing Q-factor, sensitivity, and signal amplitude together, and contribute to a deeper understanding of the fundamental limits of BIC-based sensing.

physics.optics↗

arXiv2025

Direct observation of photonic spin Hall effect in Mie scattering

The photonic spin Hall effect (PSHE), a hallmark of spin-orbit interaction of light, has long been considered a promising route toward spin-controlled functionalities in nanophotonics. Yet, its practical realization has been severely limited by the inherently weak spin-orbit coupling in typical systems, resulting in vanishingly small transverse shifts and extremely low scattering efficiency. This fundamental trade-off has rendered the PSHE observable only through complex weak measurement protocols and signal amplification-approaches that come at the cost of further intensity loss, particularly in nanoscale systems. In this work, we overcome this longstanding challenge by introducing a novel mechanism based on symmetry breaking and mode coupling in a standalone scatterer, which unlocks a regime of Friedrich-Wintgen superscattering with strong near-field spin-orbit interaction. This allows for simultaneous enhancement of both the photonic spin Hall shift and the far-field scattering intensity-boosting the latter by nearly two orders of magnitude compared to conventional dipolar particles. Through tailored multipolar interference, the PSHE is made accessible at experimentally convenient angles, enabling post selection-free detection. We report the first direct experimental observation of the PSHE from a single superscattering particle, achieved in the microwave regime via polarization-resolved far-field measurements. Our findings not only validate a new physical pathway for enhancing spin-dependent light-matter interactions, but also establish a robust, scalable platform for spin-based photonic technologies. This breakthrough opens new avenues in precision optical metrology, advanced imaging, LIDAR systems, and integrated photonic circuitry, bridging a critical gap between fundamental spin optics and real-world applications.

physics.optics↗

arXiv2025

Experimental Study of Fabry-Perot BICs in a Microwave Waveguide

We study Fabry-Perot bound states in the continuum (FP-BIC) in the GHz frequency range, formed by two ceramic discs placed inside a metallic-walled rectangular waveguide, that act as perfect reflectors at the resonant frequency. The energy becomes perfectly trapped between the discs, forming a FP-BIC, when the distance between them matches the Fabry-Perot quantization condition. We present both theoretical and experimental analyses to investigate how the total and radiative quality factors (Q factors) depend on the inter-disk distance. We gain valuable insights into the Fano features observed in the transmission spectra using the quasi-normal mode technique and temporal coupled mode theory. Notably, we find that as the system approaches the BICs, the Fano asymmetry parameters diverge, resulting in a Lorentzian transmission profile. Experimentally, we measure a radiative Q factor on the order of $10^5$, while the total Q factor, limited by material losses, remains around $10^3$. These results offer new opportunities for the application of BICs in microwave technology, significantly advancing the potential for high-performance devices.

physics.optics↗

arXiv2024

Quasinormal mode as a foundational framework for all electromagnetic Fano resonances

Fano profiles are observed across various fields of wave physics. They emerge from interference phenomena and are quantified by the asymmetry parameter q. In optics, q is usually considered as a phenomenological coefficient obtained by fitting experimental or numerical data. In this work, we introduce an ab initio Maxwellian approach using quasinormal modes to analytically describe line shapes in light scattering problems. We show that the response of each individual quasinormal mode inherently exhibits a Fano profile and derive an explicit analytical formula for the Fano parameter. Experimental and numerical validations confirm the formula's accuracy across a broad spectrum of electromagnetic systems. The general expression for q opens new possibilities for fine-tuning and optimizing spectral line shapes in electromagnetism.

physics.optics↗

arXiv2024

Hot spot as hallmark of transition from dielectric disk to ring

Topological transformations of dielectric structures radically change the eigenvalues and eigenfunctions of photonic resonances. Moreover, optical effects may arise that characterize the moment of transition from one structure to another, but are not inherent in either the initial or final structure. We demonstrate that such a hallmark of the disk-ring transition is a hot spot of a special nature that arises at the moment a central hole appears in the disk. The hot spot in the air hole is caused by the Mie resonance of the disk with azimuthal number $m$ = 1, while other Mie resonances do not contribute to the effect due to symmetry. As the hole increases, the hot spot fades out, and we theoretically and experimentally observe the formation of photonic resonances of the ring from resonances of the disk. Using near-field and far-field measurements, we discovered clustering of disk photonic modes into distinct galleries of ring eigenmodes that are formed by the inner and outer walls of the cavity. Thus, we demonstrate both the beginning and the end of the rearrangement of photonic eigenmodes during the transition from a dielectric disk to a narrow ring.

physics.class-ph↗

arXiv2023

Engineering of high-$Q$ states via collective mode coupling in chains of Mie resonators

Efficient trapping of light in nanostructures is essential for the development of optical devices that are based on the interaction between light and matter. In this work, we show theoretically and experimentally that one-dimensional arrays of subwavelength dielectric Mie-resonant particles can support collective resonances with increased $Q$-factors. We demonstrate that the increase of the $Q$-factor can be explained by interaction between the collective electric and magnetic dipole modes of the chain resulting in appearance of the inflection point at the band edge. The considered effect is studied experimentally in the chain of high-index ceramic cylinders in the microwave spectral range.

physics.optics↗

arXiv2023

Split ring versus Möbius strip: topology and curvature effects

The influence of the topology and curvature of objects on photonic properties represents an intriguing fundamental problem from cosmology to nanostructure physics. The classical topological transition from a ring to a Möbius strip is accompanied by a loss of part of the wavelength, compensated by the Berry phase. In contrast, a strip with the same curvature but without a 180° rotation has a zero Berry phase. Here we demonstrate experimentally and theoretically that the topological transition from a ring to a flat split ring accumulated both such effects. By cutting a flat dielectric ring of rectangular cross-section, we observe the lifting of the degeneracy of the CW-CCW modes of the ring and the formation of two families: topological modes that acquire an additional phase in the range from 0 to π depending on the gap width, and ordinary modes that do not acquire an additional phase. An order parameter is introduced that accurately describes the magnitude of the spectral splitting of ordinary and topological modes. We established that an arbitrary non-integer number of waves can fit along the length of a dielectric split ring resonator, creating a new avenue in classical and quantum photonic applications.

physics.class-ph↗

arXiv2023

Quadruplets of exceptional points and bound states in the continuum in dielectric rings

In photonics, most systems are non-Hermitian due to radiation into open space and material losses. At the same time, non-Hermitianity defines a new physics, in particular, it gives rise to a new class of degenerations called exceptional points, where two or more resonances coalesce in both eigenvalues and eigenfunctions. The point of coalescence is a square root singularity of the energy spectrum as a function of interaction parameter. We investigated analytically and numerically the photonic properties of a narrow dielectric resonator with a rectangular cross section. It is shown that the exceptional points in such a resonator exist in pairs, and each of the points is adjacent in the parametric space to a bound state in the continuum, as a result of which quadruples of singular photonic states are formed. We also showed that the field distribution in the cross section of the ring is a characteristic fingerprint of both the bound state in the continuum and the exceptional point.

physics.optics↗

arXiv2021

Bound states in the continuum in strong-coupling and weak-coupling regimes under the cylinder-ring transition

Bound states in the continuum (BIC) have been at the forefront of research in optics and photonics over the past decade. It is of great interest to study the effects associated with quasi-BICs in the simplest structures, where quasi-BICs are very pronounced. An example is a dielectric cylinder, and in a number of works, quasi-BICs have been studied both in single cylinders and in structures composed of cylinders. In this work, we studied the properties of quasi-BICs during the transition from a homogeneous dielectric cylinder in an air environment to a ring with narrow walls while increasing the diameter of the inner air cylinder gradually. The results demonstrate the quasi-BIC crossover from the strong-coupling to the weak-coupling regime, which manifests itself in the transition from avoided crossing of branches to their intersection with the quasi-BIC being preserved on only one straight branch. In the regime of strong-coupling and quasi-BIC, three waves interfere in the far-field zone: two waves corresponding to the resonant modes of the structure and the wave scattered by the structure as a whole. The validity of the Fano resonance concept is discussed, since it describes the interference of only two waves under weak coupling conditions.

physics.optics↗