arXiv subjects

Victor Pacheco-Peña

Publications and source records attributed to Victor Pacheco-Peña.

At least 19 recordsLinked to original sources

arXiv2026

Refractive index retrieval of 3D printed materials for photonic applications

The advent of additive manufacturing has opened opportunities to rapidly prototype devices and products ranging from automotive and aerospace applications to micro/nanoscale metastructures, as examples). Three-dimensional (3D) printing has become relevant for electromagnetic structures, integrated optics and photonics systems, however, the optical properties of commercially available 3D printed polymers at telecommunication wavelengths (wavelength 1550nm) is not always available. Provided the importance of 3D printing technologies, in this work, we evaluate both theoretically and experimentally the complex refractive index of four polymers including some recycled versions (namely Butenediol Vinyl Alcohol (BVOH), Polylactic Acid (PLA), Recycled Polyethylene Terephthalate (rPET), and recycled Polylactic Acid (rPLA)) as potential candidates for photonics applications. The 3D printed samples have thicknesses from ~100 to 400 nm (~64wavelengths to ~258wavelengths, respectively). The experimental reflectance and transmittance spectra are extracted and used to retrieve the complex refractive index of each printed material demonstrating extinction coefficients in the order of 10^-4 at wavelength=1550nm. The experimental results are validated using numerical simulations. Finally, as a proof-of-concept, a convex-planar lens and a Bragg mirror are designed and numerically evaluated, showing the potential of the proposed polymers for 3D printing photonic structures at telecommunication wavelengths.

physics.optics↗

arXiv2026

Anisotropic photonic time interfaces via isotropic spacetime modulations

The engineering of the optical properties of materials in space and time is opening further directions and possibilities to control wave propagation in four dimensions (x,y,z,t). A key example of such modulations are time interfaces where the permittivity of the medium is changed in time from isotropic to another isotropic value. Recently, isotropic-to-anisotropic time interfaces in a homogeneous, unbounded medium have also been proposed, demonstrating their potential for redirecting waves in real time. However, the challenge relies on accessing/creating permittivity tensors in time. To address this, here we propose isotropic-to-isotropic spacetime modulations inspired by spacetime effective media to emulate such isotropic-to-anisotropic time interfaces. Specifically, we consider that subwavelength spatially periodic multilayers, arranged either horizontally or vertically, are created in time using simultaneous isotropic-to-isotropic time interfaces applied in discrete spatial regions. The theory behind this approach is presented in detail demonstrating that, indeed, it is possible to change the direction of energy propagation in real time and emulate permittivity tensors. All the results are supported by numerical simulations, demonstrating the potential of the proposed spacetime approach to emulate photonics isotropic-to-anisotropic time interfaces.

physics.optics↗

arXiv2025

Wave-based quasi-digital logic operations

Electromagnetic wave-based computing has emerged as an exciting paradigm with the potential to enable high-speed, parallel operations. In conventional computing, elementary logic gates, such as AND, OR, NOT and XOR, form the building blocks of larger interconnected logic circuits. These operations are inherently non-linear processes, which may be challenging to implement using an electromagnetic wave-matter based systems. In this work, we discuss how one may instead emulate the functionality of certain logic gates by using quasi-digital linear systems (in this case networks of interconnected parallel plate waveguides). This is done by carefully designing the encoding scheme of the input bits (how the input state of each bit maps to an incident electromagnetic signal) and the high/low classification regions of the output signal. To demonstrate this approach, full-wave numerical simulation of elementary 2-input operations are presented. This technique is then extended to many-to-one and many-to-many operations such as an N-input AND, half, full and a 2-bit full-adder. We envision that this quasi-digital linear computing technique may help enable new opportunities for electromagnetic wave-based computing.

physics.app-ph↗

arXiv2025

Mirrors without spatial boundaries

Mirrors are one of the most elementary and ubiquitous components of optical systems. They use a sharp refractive index contrast to provide the basic capability of reflecting light. Motivated by recent developments of photonic time-varying media, here we investigate the fundamental question on whether it is possible to have a mirror without any spatial boundary. In this vein, we first discuss how purely temporal mirrors are in general forbidden by the conservation of Minkowski momentum. However, we show that an exotic class of metamaterials, namely, temporal non-Foster left-handed media, exhibit anti-parallel Minkowski momentum and energy flow, thereby enabling mirrors without spatial boundaries. Upon this ground, we put forward some related photonic functionalities, including temporal cavities, pulse freezing, and frequency comb generators, which can be understood as the precursor of temporal lasers.

physics.optics↗

arXiv2024

Topological Valley Photonic Waveguides: Scattering matrix evaluation for linear computing

Topological boundary modes utilizing valley mode waveguides have opened opportunities in, for instance, the design of high transmission waveguides with tolerance to geometrical defects and sharp bends. Applications of these waveguides include linear computational processes and the emulation of logic gates using linear structures, among other scenarios. Here we present the design of a 6-port junction that exhibits equal power splitting to three other ports when excited at single port with no reflections. In studying this structure, a scattering matrix is extracted at telecom wavelengths (around 1550 nm). The linearity of the system along with the scattering matrix are exploited to produce linear operations such as routing of information considering two incident signals or multiple signals applied from different ports. Our work may be exploited to analytically design larger networks without the need of computationally expensive trial and error numerical methods.

physics.optics↗

arXiv2024

Emulating photonic time interfaces via smooth temporal transitions

The introduction of time as an additional degree of freedom to control wave-matter interactions have opened new avenues to fully control wave propagation in four dimensions (x,y,z,t). Time interfaces (rapid changes of the constitutive relations of the medium where a wave propagates) have recently become popular as they are the temporal analogue of spatial interfaces. While recent groundbreaking experimental work has demonstrated time interfaces from water waves, microwaves and the optical regime, rapidly changing, for instance, the permittivity of the medium requires carefully engineered structures. Here, we study the possibility of implementing smooth temporal transitions of the refractive index of the medium in order to mimic the response of time interfaces via adiabatic modulations. It is shown that indeed, as long as the signal is inside the structure during the modulation time, there are some values of rising/falling time of the adiabatic modulation that enables a full approximate emulation of a time interface. These results may open further avenues to explore by relaxing the speed at which the time-modulation should be introduced when designing four-dimensional media.

physics.optics↗

arXiv2024

Solving partial differential equations with waveguide-based metatronic networks

Photonic computing has recently become an interesting paradigm for high-speed calculation of computing processes using light-matter interactions. Here, we propose and study an electromagnetic wave-based structure with the ability to calculate the solution of partial differential equations in the form of the Helmholtz wave equation. To do this, we make use of a network of interconnected waveguides filled with dielectric inserts. In so doing, it is shown how the proposed network can mimic the response of a network of T-circuit elements formed by two series and a parallel impedance, i.e., the waveguide network effectively behaves as a metatronic network. An in-depth theoretical analysis of the proposed metatronic structure is presented showing how the governing equation for the currents and impedances of the metatronic network resembles that of the finite difference representation of the Helmholtz wave equation. Different studies are then discussed including the solution of partial differential equations for Dirichlet and open boundary value problems, demonstrating how the proposed metatronic-based structure has the ability to calculate their solutions.

physics.app-ph↗

arXiv2023

Perfect Splitting in Rectangular Waveguide Junctions for Analogue Computing

It has been recently shown how computing operations such as high-speed switching, routing, and solving partial differential equations can be performed by exploiting perfect splitting of electromagnetic waves in networks of waveguides from microwaves to the optical regime. Here, we propose a technique to achieve perfect splitting of electromagnetic waves using junctions of rectangular waveguides. The structure consists of N air-filled rectangular waveguides interconnected at a junction. They are designed to have their cut-off frequency above the cut-off frequency of further N waveguides used as inputs. The proposed structure is studied theoretically using transmission line models demonstrating that perfect splitting can occur at frequencies below the cut-off frequency of the interconnected waveguides (evanescent coupling). Numerical results are implemented to validate the designs demonstrating a good agreement between them. As examples of computing operations, it is shown how the proposed structure can be used to compare the amplitude of two incident signals (comparison operation) and also for routing of information to different output ports by exploiting linear superposition of scattered waves excited at the junction of rectangular waveguides, opening new opportunities and possibilities for future exploration and exploitation of electromagnetic waves for high-speed computing.

physics.class-ph↗

arXiv2023

Spatiotemporal cascading of dielectric waveguides

Photonic time interfaces, as the temporal analogue of spatial interfaces between two media, consist of a rapid change of the electromagnetic properties of a material (such as permittivity ε, and permeability μ) while the wave is present in the material. Here we exploit cascading of such time interfaces in spatially cascaded guided-wave structures such as slab waveguides and ring resonators by considering that the relative permittivity of the cladding of dielectric waveguides is rapidly changed at different moments of time from εclad_1 to εclad_2 , while the material of the core remains unchanged in time. It is shown how such time-dependent cladding can enable frequency conversion within the space-time dielectric ring resonator and slab waveguides due to an induced modification of the effective refractive index of the mode propagating within such photonic device. Cascaded frequency conversion is achieved in such cascaded space-time dielectric waveguides and ring resonators, showing how the combination of space and time interfaces can offer further opportunities for manipulation of light-matter interaction using four-dimensional (4D) photonic structures.

physics.optics↗

arXiv2023

Temporal chirp, temporal lensing and temporal routing via space-time interfaces

A time interface (a rapid change of the constitutive parameters of a material in time), applied within an unbounded medium where a wave travels, can enable frequency conversion, and is considered the temporal analogue of a spatial interface between two materials. Here, we study light-matter interactions in four dimensions, 4D (space, x,y,z, and time, t), by exploring the implications of applying time interfaces not to the entire space where a wave travels, but to certain regions of space in order to create spatial interfaces in time. Different configurations such as induced perpendicular, parallel, and oblique spatial interfaces via a temporal interface are discussed. It is shown how such four-dimensional combinations of temporal and spatial interfaces can enable interesting features such as the 4D generalized Snell law and the temporal chirp, temporal lensing, and temporal routing of electromagnetic waves. Such exotic possibilities may provide new ways to manipulate light-matter interactions via a combination of temporal and spatial interfaces.

physics.optics↗

arXiv2023

Time derivatives via interconnected waveguides

Electromagnetic wave-based analogue computing has become an interesting computing paradigm demonstrating the potential for high-throughput, low power, and parallel operations. In this work, we propose a technique for the calculation of derivatives of temporal signals by exploiting transmission line techniques. We consider multiple interconnected waveguides (with some of them being closed-ended stubs) forming junctions. The transmission coefficient of the proposed structure is then tailored by controlling the length and number of stubs at the junction, such that the differentiation operation is applied directly onto the envelope of an incident signal sinusoidally modulated in the time domain. The physics behind the proposed structure is explained in detail and a full theoretical description of this operation is presented, demonstrating how this technique can be used to calculate higher order or even fractional temporal derivatives. We envision that these results may enable the development of further time domain wave-based analogue processors by exploiting waveguide junctions, opening new opportunities for wave-based single operators and systems.

physics.optics↗

arXiv2023

Plasmonic sensing using Babinet's principle

Developing methods to sense local variations in nearby materials, such as their refractive index and thickness, is important in different fields including chemistry and biomedical applications, among others. Localized surface plasmons (LSPs) excited in plasmonic nanostructures have demonstrated to be useful in this context due to the spectral location of their associated resonances being sensitive to changes near the plasmonic structures. In this manuscript, Babinet's principle is explored by exploiting LSP resonances excited in complementary metal-dielectric cylindrical plasmonic structures (plasmonic particle-dimers and aperture-dimers in our case). Both plasmonic structures are evaluated numerically and experimentally using Electron Energy Loss Spectroscopy (EELS), providing a full physical understanding of the complementary nature of the excited LSP resonances. The studied plasmonic structures are then exploited for dielectric sensing under two configurations: when a thin dielectric film is positioned atop the plasmonic structures and when the analyte surrounds/fills the plasmonic particles/apertures. The complementary sensing performance of both proposed structures is also evaluated, showing the approximate validity of the Babinet principle with sensitivities values of up to 700 nm/RIU for thin dielectric sensing.

physics.optics↗

arXiv2023

Holding and amplifying electromagnetic waves with temporal non-Foster metastructures

We introduce a mechanism that can both hold and amplify electromagnetic waves by rapidly changing the permittivity of the medium during the wave travel from a positive to a dispersionless (i.e. non-Foster) negative value and then back again. The underlying physics behind this phenomenon is theoretically explored by considering a plane wave in an unbounded medium. Interestingly, we show that a rapid positive-to-negative temporal change of ε(t) causes the propagation of the wave to stop (observed by a frozen phase in time) while the amplitude of the frozen field exponentially grows. Stepping the permittivity back to the original (or a new) positive value will cause the wave to thaw and resume propagation with the original (or the new) frequency, respectively. We numerically study the case of dipole radiation in such time-varying non-Foster structures. As a possible implementation, we propose a parallel plate waveguide platform loaded with time-dependent media emulating parallel lumped non-Foster negative capacitors. Such non-Foster time-varying structures may open new venues in controlling and manipulating wave-matter interaction.

physics.optics↗

arXiv2022

On-fiber high-resolution photonic nanojets via high refractive index dielectrics

In this manuscript, we present high spatial resolution focusing of electromagnetic waves at telecommunication wavelengths (λ0 = 1.55 μm) by using high-refractive index mesoscale dielectrics placed at the end of an optical fiber. Our approach exploits photonic nanojets (PNJs) to achieve high-intensity, spatially narrow focal spots. The response of the device is evaluated in detail considering 2-dimensional (2D) and 3-dimensional (3D) configurations using high-index mesoscale cylindrical and spherical dielectrics, respectively, placed on top of an optical fiber. It is shown how the PNJs can be shifted towards the output surface of the mesoscale high-index dielectric by simply truncating its 2D/3D cylindrical/spherical output profile. With this setup, a PNJ with a high transversal resolution is obtained using the 2D/3D engineered mesoscale dielectric particles achieving a Full-Width at Half-Maximum of FWHM = 0.28λ0 (2D truncated dielectric), and FWHMy = 0.17λ0 and FWHMx = 0.21λ0 (3D truncated dielectric). The proposed structure may have potential in applications where near-field high spatial resolution is required, such as in sensing and imaging systems.

physics.optics↗

arXiv2022

Neural network design of multilayer metamaterial for temporal differentiation

Controlling wave-matter interactions with metamaterials (MTMs) for the calculation of mathematical operations has become an important paradigm for analogue computing given their ability to dramatically increase computational processing speeds. Here, motivated by the importance of performing mathematical operations on temporal signals, we propose, design and study multilayer MTMs with the ability to calculate the derivative of incident modulated temporal signals, as an example of a significant computing process for signal processing. To do this, we make use of a neural network (NN) based algorithm to design the multilayer structures (alternating layers of indium tin oxide (ITO) and titanium dioxide (TiO2)) that can calculate the first temporal derivative of the envelope of an impinging electromagnetic signal at telecom wavelengths (modulated wavelength of 1550 nm). Different designs are presented using multiple incident temporal signals including a modulated Gaussian as well as modulated arbitrary functions, demonstrating an excellent agreement between the predicted results (NN results) and the theoretical (ideal) values. It is shown how, for all the designs, the proposed NN-based algorithm can complete its search of design space for the layer thicknesses of the multilayer MTM after just a few seconds, with a low mean square error in the order of (or below) 10^-4 when comparing the predicted results with the theoretical spectrum of the ideal temporal derivative.

physics.optics↗

arXiv2022

Quantum antireflection temporal coatings: quantum state frequency shifting and inhibited thermal noise amplification

We investigate the quantum optical response of antireflection temporal coatings, i.e., matching temporal layers that suppress the generation of backward waves in temporal boundaries. Our results reveal that quantum antireflection temporal coatings are characterized for inducing a frequency shift of the quantum state, while preserving all photon statistics intact. Thus, they might find application for fast quantum frequency shifting in photonic quantum networks. The quantum theory also provides additional insight on their classical mode of operation, clarifying which quantities are preserved through the temporal boundary. Finally, we show that quantum antireflection temporal coatings allow for fast temporal switching without the amplification of thermal fields.

physics.optics↗

arXiv2022

Amplitude controlled electromagnetic pulse switching using waveguide junctions for high-speed computing processes

Performing computational tasks with wave-based devices is becoming a groundbreaking paradigm that can open new opportunities for the next generation of efficient analogue and digital computing systems. Decision-making processes for switching and routing of signal is fundamental for computing as it enables the transfer of information from one to many (or single) blocks within a system. Here, we propose and demonstrate a technique for the design of pulse-based switching devices for the computing of fundamental decision-making processes. In our technique, we encode information from multiple channels as transverse electromagnetic (TEM) pulses of varying amplitudes and polarities propagating through interconnected parallel plate waveguides modelled as simple transmission lines. An in-depth description of our technique is presented showing how switching and routing of information can be engineered by correctly exploiting the linear splitting and superposition of multiple pulses traveling through waveguide junctions. To demonstrate the potential of our technique for computing, we develop two devices: a comparator which can calculate the largest value between two real-valued numbers and a pulse director which exploits the reciprocity of waveguide junctions to create a similar yet different performance of a traditional AND gate (emulating its performance via our analogue linear system). These findings may open new pathways and possibilities for high-speed electromagnetic pulse-based computing systems.

physics.app-ph↗

arXiv2021

Temporal metamaterials with gain and loss

Manipulation of wave-matter interactions in systems with loss and gain have opened new mechanisms to control wave propagation at will. Metamaterials and metasurfaces having spatially inhomogeneous loss and gain have been studied in the past few years by exploiting parity-time (PT) symmetry concepts inspired from quantum-physics. In this work we theoretically study the control of light-matter interactions in spatially unbounded metamaterials having a time-modulated permittivity whose imaginary part is temporally modulated to induce loss and gain, while the real part stays unchanged. We show both numerically and theoretically how such temporally modulated multistepped metamaterials with loss and gain can be equivalent to a temporal effective metamaterial having an effective permittivity modelled by a step function in time. Interestingly, it is shown how the amplitude of a monochromatic electromagnetic wave traveling inside such temporal metamaterials can experience spatiotemporal decay or amplification depending on the values of loss and gain added into the system, while its wavenumber is preserved. We envision that our findings may open new avenues in exploration of potential applications of temporal metamaterials in signal amplification and loss mitigation.

physics.optics↗