arXiv subjects

Natalia M. Litchinitser

Publications and source records attributed to Natalia M. Litchinitser.

At least 19 recordsLinked to original sources

arXiv2026

Hybrid Longitudinal-Transverse Propagating Electric Fields in Photonic Crystal Waveguides

In a uniform, source-free, and unbounded medium, Maxwell's equations require electromagnetic waves to be purely transverse. However, when a beam of light is tightly focused or strongly confined, a longitudinal field component can emerge. Strong longitudinal fields enable many novel phenomena and applications, including single molecule detection, near-field imaging, and high-resolution photolithography. Although the behavior of the longitudinal electric (LE) field component of the electromagnetic field in ordinary waveguides is well established, judicious nanostructuring offers unprecedented control over its strength as well as spatial and spectral distribution. Here, we demonstrate a full-vectorial theory and experimental results showing that for specially designed waveguides, such as one-dimensional antislot photonic crystal (PhC) waveguides, the LE field can hybridize with the transverse electric (TE) field in the waveguide and can be subsequently decomposed into independent polarizations through far field imaging. When the in-plane mirror symmetry of a PhC unit cell is broken, coupling between LE and TE modes produces two hybrid LE-TE modes and opens a new photonic bandgap. The LE-TE composition of the hybrid modes and the width of the resulting bandgap can be tuned by changing the rotation angle of the antislot within the unit cell. We show that a 45-degree antislot orientation with respect to the propagation direction yields hybrid modes with the largest LE field contribution and the widest geometry-induced bandgap. Such engineered PhC waveguides enable new on-chip photonic functionalities, including in-plane angle-invariant dipole coupling in quantum systems, higher-order polarization-division multiplexing, and enhanced control of light flow.

physics.optics↗

arXiv2026

Particle-like topologies of light in turbulent complex media

The basic building blocks of many forms of optical topologies are particle-like singularities in phase and polarisation, giving rise to lines of darkness that weave complex threads in 3D space. Although known for half a century since seminal work on dislocations in wave trains, their behaviour in complex media remains under debate, especially with respect to their relative stability. Here we show that polarisation and phase vortices behave identically in one-sided turbulent complex channels. We perform complementary numerical and experimental studies using atmospheric turbulence as a test case, demonstrating agreement and equivalent dynamics. Our work addresses open questions on optical topologies and will be relevant to their harnessing for applications such as sensing, communication, imaging, and information transfer in noisy or complex environments.

physics.optics↗

arXiv2025

Structuring Polarization States of Light in Space and Time

The spatiotemporal sculpturing of light beams with arbitrary phase and polarization topologies has garnered significant attention in recent years due to its potential to advance optical technologies and reveal novel physical phenomena. Examples of spatiotemporal beams include space-time wave packets, flying donuts, tilted pulse fronts, X-waves, Airy pulses, and spatiotemporal optical vortices. Here, we introduce and demonstrate a new class of spatiotemporal polarization states of light. We propose a generalized spatiotemporal higher-order Poincaré sphere and show that these polarization states emerge from the superposition of two orthogonal circular polarization states, each carrying a spatiotemporal optical vortex. Such a choice of the basis enables simultaneous control of the spatial and temporal degrees of freedom of light. Theoretical predictions are experimentally validated using ultrafast femtosecond pulses, revealing how the resulting polarization distributions evolve in both space and time. Finally, we further extend this approach to construct a family of spatiotemporal skyrmionic textures that are localized, topologically nontrivial configurations of the electromagnetic field vector, offering a versatile framework for generating and controlling multidimensional (space and time) structured polarization fields. The ability to create and manipulate diverse forms of spatiotemporal skyrmionic textures opens up new opportunities for studying complex light-matter interaction phenomena, advanced imaging and micromanipulation, and encoding information across both space and time, with potential implications for advanced optical communication and information processing in classical and quantum domains

physics.optics↗

arXiv2025

Nonlinear Nonlocal Metasurface for Harmonic Generation and Manipulation

The discovery of second harmonic generation in 1961 marked the birth of nonlinear optics, unlocking a range of applications from frequency conversion to quantum light generation. Yet, phase matching in bulk nonlinear crystals remains a key bottleneck. Thinning nonlinear media eases this constraint but severely reduces nonlinear efficiency due to limited interaction length. Photonic metasurfaces, planar arrays of subwavelength meta atoms, offer a compelling alternative by supporting resonant modes that enhance local fields. However, existing designs suffer from a trade off between the high efficiency of nonlocal metasurfaces and the precise wavefront control enabled by local ones. These two capabilities have remained decoupled due to their fundamentally different mechanisms. Here, we design a nonlinear nonlocal metasurface supporting quasi trapped modes (QTM), enabling efficient third harmonic generation and meta atom level phase manipulation. Using topologically asymmetric all-dielectric meta-atoms, we achieve strong field confinement and demonstrate THG enhancement exceeding three orders of magnitude compared to unstructured films. By exploiting symmetry and Pancharatnam-Berry (PB) phase via meta atom rotation, we realize helicity dependent wavefront control at both the fundamental and TH wavelengths. A slight boundary perturbation yields geometric phase accumulation only at resonance, a behavior absent in conventional PB based metasurfaces. This selectivity arises from QTM field profiles that maintain global symmetry off resonance while enabling local geometric phase encoding at resonance. Our results advance silicon photonics and reveal new mechanisms for nonlinear geometric phase control at the nanoscale.

physics.optics↗

arXiv2024

Nano-Focusing of Vortex Beams with Hyperbolic Metamaterials

The synergy of judiciously engineered nanostructures and complex topology of light creates unprecedented opportunities for tailoring light-matter interactions on the nanoscale. Electromagnetic waves can carry multiple units of angular momentum per photon, stemming from both spin and orbital angular momentum contributions, offering a potential route for modifying the optical transition selection rules. However, the size difference between a vortex beam and quantum objects limits the interaction strength and the angular momentum exchange. Here, we demonstrate the sub-diffraction-limited focusing of a vortex beam using the high in-plane wave number modes present in hyperbolic metamaterials. The spin-orbit interaction within the hyperbolic structure gives rise to the formation of an optical skyrmion with a deep subwavelength structure, which may enable the exploration of new light-matter interaction phenomena.

physics.optics↗

arXiv2023

Optical vortices enabled by structural vortices

The structural symmetry of solids plays an important role in defining their linear and nonlinear optical properties. The quest for versatile, cost-effective, large-scale, and defect-free approaches and materials platforms for tailoring structural and optical properties on demand has been underway for decades. We experimentally demonstrate a bottom-up self-assembly-based organic engineered material comprised of synthesized molecules with large dipole moments that are crystallized into a spherulite structure. The molecules align in an azimuthal direction, resulting in a vortex polarity with spontaneously broken symmetry leading to strong optical anisotropy and nonlinear optical responses. These unique polarization properties of the judiciously designed organic spherulite combined with the symmetry of structured optical beams enable a plethora of new linear and nonlinear light-matter interactions, including the generation of optical vortex beams with complex spin states and on-demand topological charges at the fundamental, doubled, and tripled frequencies. The results of this work are likely to enable numerous applications in areas such as high-dimensional quantum information processing, with large capacity and high security. The demonstrated spherulite crystals facilitate stand-alone micro-scale devices that rely on the unique micro-scale spontaneous vortex polarity that is likely to enable future applications for high-dimensional quantum information processing, spatiotemporal optical vortices, and a novel platform for optical manipulation and trapping.

physics.optics↗

arXiv2023

Machine Learning for Mie-Tronics

Electromagnetic multipole expansion theory underpins nanoscale light-matter interactions, particularly within subwavelength meta-atoms, paving the way for diverse and captivating optical phenomena. While conventionally brute force optimization methods, relying on the iterative exploration of various geometries and materials, are employed to obtain the desired multipolar moments, these approaches are computationally demanding and less effective for intricate designs. In this study, we unveil the potential of machine learning for designing dielectric meta-atoms with desired multipolar moments up to the octupole terms. Specifically, we develop forward prediction models to unravel the intricate relationship between the scattering response and the topological attributes of individual meta-atoms, and an inverse design model to reconstruct scatterers with the targeted multipolar moments. Utilizing a tandem network trained to tailor dielectric meta-atoms for generating intended multipolar moments across a broad spectral range, we further demonstrate the generation of uniquely shaped meta-atoms for exciting exclusive higher order magnetic response and establishing super-scattering regime of light-matter interaction. We also illustrate the accurate prediction of electric field distributions within the given scatterer. Our versatile methodology can be readily applied to existing datasets and seamlessly integrated with various network architectures and problem domains, making it a valuable tool for the design of different platforms at nanoscale.

physics.optics↗

arXiv2023

From Non-scattering to Super-scattering with the Topology of Light and Matter

Electric anapole states, arising due to the destructive interferences of primitive and toroidal electric dipole moments, have been recently introduced as the fundamental class of non-scattering sources with several potential applications ranging from nonlinear optics to thermodynamics thanks to their field confinement and minimal scattering fingerprints. Nevertheless, other non-radiating sources are also possible and can provide significant energy confinement at the nanoscale if they spectrally overlap with their electrical counterparts. On the other hand, super-scattering states represent the opposite regime of light-matter interaction wherein the scattering cross-section of a particular multipolar moment exceeds the single-channel limit, leading to a strong scattering in the direction of the pump beam. Here, we demonstrate that the interplay between the topology of incident light and the subwavelength scatterer can lead to these two opposite regimes of light-matter interactions within an isolated all-dielectric meta-atom. In particular, we show that the presented scatterer can support new non-scattering states, called hybrid anapole, leading to significant suppression of the far-field radiation and enhancement of electromagnetic energy inside the meta-atom. We also explore the role of particle orientation and its inversion symmetry on the scattering response and show how switching between non-scattering to super-scattering states can occur within the same platform. The presented study elucidates the role of light and matter topologies in the scattering response of subwavelength meta-atoms and reveals the formation of two extreme opposite regimes of light-matter interaction, opening new avenues in several applications ranging from nonlinear optics to spectroscopy.

physics.optics↗

arXiv2019

Supersymmetric microring laser arrays

Coherent combination of emission power from an array of coupled semiconductor lasers operating on the same chip is of fundamental and technological importance. In general, the nonlinear competition among the array supermodes can entail incoherence and spectral broadening, leading to spatiotemporally unstable and multimode emission pattern and thus poor beam quality. Here, by harnessing notions from supersymmetric (SUSY) quantum mechanics, we report that the strategic coupling between a class III-V semiconductor microring laser array with its dissipative superpartner can be used to limit the number of supermodes available for laser actions to one. We introduce a novel approach based on second-order SUSY transformation in order to drastically simplify the superpartner array engineering. Compared to a conventional laser array, which has multimode spectrum, a SUSY laser array is observed to be capable of operating in a single (transverse) supermode. Enhancement of the peak output intensity of the SUSY laser array has been demonstrated with high-efficiency and lower lasing threshold, compared with a single laser and a conventional laser array. Our experimental findings pave the way towards broad-area and high-power light generation in a scalable and stable fashion.

physics.optics↗

arXiv2019

Optically tunable topological photonic crystal

Topological photonic insulators pave the way toward efficient integrated photonic devices with minimized scattering losses. Optical properties of the majority of topological structures proposed to date are fixed by design such that no changes to their performance can be made once the device has been fabricated. However, tunability is important for many applications, including modulators, switches, or optical buffers. Therefore, we propose a straightforward way for the dynamic control of transmission in a silicon-based topological photonic crystal enabled by all-optical free-carrier excitation allowing for fast refractive-index modulation. The changes in both real and imaginary parts of refractive index cause up to 20 nm blue-shift of the transmission spectrum and approximately 85% reduction in transmission. With the control mechanism used here, switching times of the order of nanoseconds can be achieved. The structures proposed here are compatible with the standard semiconductor industry fabrication process and operate at telecommunication wavelengths.

physics.optics↗

arXiv2019

Continuous supersymmetric transformation for photonic design

We propose to use a continuous supersymmetric (SUSY) transformation of a dielectric permittivity profile in order to design a photonic mode sorter. The iso-spectrality of the SUSY transformation ensures that modes of the waveguide preserve their propagation constants while being spatially separated. This global matching of the propagation constants, in conjunction with the adiabatic modification of the refractive index landscape along the propagation direction results in the negligible modal cross-talk and low scattering losses in the sorter. We show that a properly optimized SUSY mode sorter outperforms a standard asymmetric Y-splitter by reducing the cross-talk by at least two orders of magnitude. Moreover, the SUSY sorter is capable of sorting either transverse-electric or transverse-magnetic polarized modes and operates in a broad range of wavelengths. The design proposed here paves the way toward efficient signal manipulation in integrated photonic devices.

physics.optics↗

arXiv2018

Supercharge optical arrays

We introduce the notion of a supercharge optical array synthesized according to supersymmetric charge operators. Starting from an arbitrary array, mathematical supersymmetry transformation can be used systematically to create a zero-energy physical state below the ground state of the super-partner array. This zero mode, which is pinned deep in the midgap of the corresponding supercharge array owing to the square-root spectral relationship between a supercharge and a super-Hamiltonian array, is shown to be protected because of the chiral symmetry inherent to a supercharge array. A supercharge array can be used in practical applications to design a discrete optical system of waveguides or coupled resonators where the mid-gap zero mode facilitates robust light dynamics either in spatial or time domain.

physics.optics↗

arXiv2018

Supersymmetry-guided method for mode selection and optimization in coupled systems

Single-mode operation of coupled systems such as optical-fiber bundles, lattices of photonic waveguides, or laser arrays requires an efficient method to suppress unwanted super-modes. Here, we propose a systematic supersymmetry-based approach to selectively eliminate modes of such systems by decreasing their lifetime relative to the lifetime of the mode of interest. The proposed method allows to explore the opto-geometric parameters of the coupled system and to maximize the relative lifetime of a selected mode. We report a ten-fold increase in the relative lifetime of the fundamental modes of large one-dimensional coupled arrays in comparison to simple 'head-to-tail' coupling geometries. The ability to select multiple supported modes in one- and two-dimensional arrays is also demonstrated.

physics.optics↗

arXiv2018

Experimental demonstration of valley-Hall topological photonic crystal at telecommunication wavelengths

Photonic topological insulators provide unprecedented possibilities to eliminate scattering losses and improve the efficiency of optical communication systems. Despite significant theoretical efforts, the experimental demonstration of an integrated photonic topological insulator operating in the telecommunication regime was still missing. Here, we design, fabricate and characterize a photonic-crystal-based topological structure that exhibits valley-Hall effect. We experimentally demonstrate the propagation of topologically protected edge states in a CMOS-compatible chip operating at telecommunication wavelengths. This contribution is an important step towards integrated topological photonics.

physics.optics↗

arXiv2018

Reconfiguring structured light beams using nonlinear metasurfaces

Ultra-compact, low-loss, fast, and reconfigurable optical components, enabling manipulation of light by light, could open numerous opportunities for controlling light on the nanoscale. Nanostructured all-dielectric metasurfaces have been shown to enable extensive control of amplitude and phase of light in the linear optical regime. Among other functionalities, they offer unique opportunities for shaping the wave front of light to introduce the orbital angular momentum (OAM) to a beam. Such structured light beams bring a new degree of freedom for applications ranging from spectroscopy and micromanipulation to classical and quantum optical communications. To date, reconfigurability or tuning of the optical properties of all-dielectric metasurfaces have been achieved mechanically, thermally, electrically or optically, using phase-change or nonlinear optical materials. However, a majority of demonstrated tuning approaches are either slow or require high optical powers. Arsenic trisulfide (As$_2$S$_3$) chalcogenide glass offering ultra-fast and large $χ^{(3)}$ nonlinearity as well as a low two-photon absorption coefficient in the near and mid-wave infrared spectral range, could provide a new platform for the realization of fast and relatively low-intensity reconfigurable metasurfaces. Here, we design and experimentally demonstrate an As$_2$S$_3$ chalcogenide glass based metasurface that enables reshaping of a conventional Hermite-Gaussian beam with no OAM into an OAM beam at low-intensity levels, while preserves the original beam's amplitude and phase characteristics at high-intensity levels. The proposed metasurface could find applications for a new generation of optical communication systems and optical signal processing.

physics.optics↗

arXiv2017

Orbital angular momentum beam instabilities in engineered nonlinear colloidal media

In this letter, we experimentally demonstrate the evolution of the optical vortex beams of different topological charges propagating in engineered nano-colloidal suspension of negative polarizability with saturable nonlinearities. Due to the high power of the incident beam, the modulation instability leads to an exponential growth of weak perturbations and thus splits the original vortex beam into a necklace beam consisting of several bright spots. The number of observed bright spots is intrinsically determined by the topological charge of the incident beam and agrees well with the predictions of our linear stability analysis and numerical simulations. Besides contributing to the fundamental science of light-matter interactions in engineered soft-matter media, this work opens new opportunities for dynamic optical manipulation and transmission of light through scattering media as well as formation of complex optical patterns and light filamentation in naturally existing colloids such as fog and clouds.

physics.optics↗

arXiv2017

Reconfigurable Topological Photonic Crystal

Topological insulators are materials that conduct on the surface and insulate in their interior due to non-trivial topological order. The edge states on the interface between topological (non-trivial) and conventional (trivial) insulators are topologically protected from scattering due to structural defects and disorders. Recently, it was shown that photonic crystals can serve as a platform for realizing a scatter-free propagation of light waves. In conventional photonic crystals, imperfections, structural disorders, and surface roughness lead to significant losses. The breakthrough in overcoming these problems is likely to come from the synergy of the topological photonic crystals and silicon-based photonics technology that enables high integration density, lossless propagation, and immunity to fabrication imperfections. For many applications, reconfigurability and capability to control the propagation of these non-trivial photonic edge states is essential. One way to facilitate such dynamic control is to use liquid crystals, which allow to modify the refractive index with external electric field. Here, we demonstrate dynamic control of topological edge states by modifying the refractive index of a liquid crystal background medium. Background index is changed depending on the orientation of a liquid crystal, while preserving the topological order of the system. This results in a change of the spectral position of the photonic bandgap and the topologically protected edge states. The proposed concept might be implemented using conventional semiconductor technology, and can be used for robust energy transport in integrated photonic devices, all-optical circuity, and optical communication systems.

physics.optics↗

arXiv2017

Trajectories and orbital angular momentum of necklace beams in nonlinear colloidal suspensions

Recently, we have predicted that the modulation instability of optical vortex solitons propagating in nonlinear colloidal suspensions with exponential saturable nonlinearity leads to formation of necklace beams (NBs) [S.~Z.~Silahli, W.~Walasik and N.~M.~Litchinitser, Opt.~Lett., \textbf{40}, 5714 (2015)]. Here, we investigate the dynamics of NB formation and propagation, and show that the distance at which the NB is formed depends on the input power of the vortex beam. Moreover, we show that the NB trajectories are not necessarily tangent to the initial vortex ring, and that their velocities have components stemming both from the beam diffraction and from the beam orbital angular momentum. We also demonstrate the generation of twisted solitons and analyze the influence of losses on their propagation. Finally, we investigate the conservation of the orbital angular momentum in necklace and twisted beams. Our studies, performed in ideal lossless media and in realistic colloidal suspensions with losses, provide a detailed description of NB dynamics and may be useful in studies of light propagation in highly scattering colloids and biological samples.

physics.optics↗