arXiv subjects

J. Sumaya-Martinez

Publications and source records attributed to J. Sumaya-Martinez.

13 recordsLinked to original sources

arXiv2026

Fisher-Information Design of Ridge-Loaded Subwavelength Slits

We present an information theoretic framework for extraordinary optical transmission through a subwavelength slit containing symmetric internal ridges. Full wave finite element spectra are interpreted with a reduced Fabry Perot model in which the ridge interfaces introduce a reactive discontinuity phase associated with modal impedance mismatch and evanescent field loading. Fisher information is used to quantify how reliably resonance positions and geometric parameters can be inferred from transmission measurements. For an isolated Lorentzian resonance under white Gaussian noise, the Fisher information for the resonance center scales linearly with the quality factor when amplitude, sampling, and noise are fixed. We also extend the formulation to correlated Gaussian noise and Poisson shot noise, showing why the resonance with the highest Q is not necessarily the most informative under realistic experimental conditions. The framework clarifies the interpretation of ridge induced effective cavity corrections and provides a reduced order route toward Fisher information driven inverse design of subwavelength resonators.

physics.optics↗

arXiv2026

Sectorial customized corneal crosslinking for keratoconus: an inverse biomechanical design study with an anisotropic reduced shell finite-element surrogate

We propose an inverse biomechanical design framework for sectorial customized corneal crosslinking in keratoconus. The cornea is modeled as an anisotropic reduced shell with spatially varying crosslinking-induced stiffening, enabling the optimization of localized treatment patterns rather than uniform irradiation profiles. Numerical simulations show that sectorial stiffening can redistribute curvature, reduce localized steepening, and improve corneal regularity in decentered keratoconus models while preserving biomechanical plausibility. These results support the use of patient-specific computational planning for customized crosslinking protocols and provide a basis for future integration with corneal tomography and programmable ultraviolet delivery systems.

physics.optics↗

arXiv2026

Constructor-Theoretic Optical Time: Delay, Phase, and Fisher Distinguishability as Physical Tasks

We develop a constructor-theoretic formulation of optical time in which delay, phase, temporal ordering, synchronization, and detector records are described as physical tasks rather than as consequences of a primitive time parameter. An optical delay is treated as an operational attribute defined by comparison and record-forming tasks, while phase becomes temporal only through a reference-dependent phase-delay equivalence relation. Within this framework, the Fisher information associated with delay estimation is interpreted as a distinguishability resource, and the Cramer-Rao bound becomes a task-impossibility statement: for a specified optical substrate, reference, detector, photon budget, bandwidth, visibility, and noise model, no constructor can estimate a delay with variance below the inverse Fisher information. We illustrate the approach using interferometric delay estimation, dispersive group-delay propagation, and double-slit diffraction, where the standard Fraunhofer pattern is recovered as a record distribution generated by a phase-delay task. The framework does not replace Maxwellian optics; it reorganizes optical dynamics as a means of determining which temporal tasks are physically possible or impossible.

physics.optics↗

arXiv2026

Fisher-Informational Time: A Causal-Geometric Framework for Emergent Clock Time Physical Distinguishability

We develop a Fisher-informational reformulation of physical time in which clock time is not regarded as a fundamental ontological substance, but as an emergent calibration of causally ordered distinguishability among physical states. The operational starting point is that clocks do not measure time itself; rather, they instantiate reproducible physical processes whose distinguishable states are correlated with other events. We introduce a causal-informational parameter, denoted by Lambda_F, defined as an accumulated Fisher-geometric distance along a causally admissible trajectory in state space. In classical statistical systems, this parameter is generated by the Fisher information metric; in quantum systems, the corresponding construction is associated with quantum Fisher information, the Bures metric, and the Fubini-Study geometry of projective Hilbert space. The manuscript distinguishes model-dependent Fisher information from quantum Fisher information, clarifies the reparameterization of Schrodinger dynamics, and gives explicit examples involving a qubit clock, an exponential decay process, and a Fisher characterization of clock quality. The proposal is positioned relative to relational time, the Page-Wootters mechanism, thermal time, quantum speed-limit relations, information geometry, and the problem of time in quantum gravity. We do not claim that relational or emergent time is new. The specific contribution is the use of Fisher distinguishability as an operational precursor from which ordinary clock time can be reconstructed. In this sense, the central statement of the paper is: time is not measured by clocks; clock time is reconstructed from the Fisher distinguishability accumulated along causally ordered physical changes.

quant-ph↗

arXiv2026

Achieving Extraordinary Acoustic Transmission in a Single Slit by Boundary Impedance Engineering

Extraordinary acoustic transmission is commonly associated with periodic or multi-aperture structures. In this work, we show that a single subwavelength slit can support strongly enhanced transmission when its boundary response is described by an effective impedance. Using a reduced analytical model together with numerical calculations, we demonstrate that appropriate impedance tuning leads to efficient coupling between the incident field and the slit mode, resulting in transmission levels approaching unity. The observed enhancement is governed by impedance matching rather than geometric periodicity, highlighting a minimal mechanism for extraordinary transmission. This study establishes boundary impedance control as a versatile route for manipulating acoustic wave transport through deeply subwavelength apertures.

physics.optics↗

arXiv2026

Fisher-Information-Driven Adaptive Acquisition for Photon-Efficient FLIM: A Dual-Implementation Framework for TCSPC and Programmable Time-Gating

We present a Fisher-information (FI) framework for photon-efficient fluorescence lifetime imaging microscopy (FLIM) that treats temporal sampling as a controllable design variable under a fixed photon (dose) budget. Starting from a Poisson photon-counting model for bi-exponential fluorescence decays convolved with a finite instrument response function (IRF) and including additive background, we derive FI for both time-binned TCSPC histograms and programmable time-gated acquisitions. To ensure robustness when nuisance parameters such as IRF width, temporal offset, and background level are uncertain, we compute an effective FI using a Schur-complement marginalization and select hardware-feasible temporal designs by maximizing D-optimal criteria over candidate libraries. Across instrument-agnostic simulations spanning IRF broadening and increasing background fractions, FI-driven temporal designs consistently improve photon efficiency relative to uniform sampling, while nuisance-aware planning yields more stable gains under mismatch than naive optimization. Monte Carlo studies with maximum-likelihood estimation confirm that higher effective FI translates into reduced estimator variance and improved parametric map quality at fixed photon budgets. Finally, we map the same FI core to two practical deployment pathways: adaptive re-binning for TCSPC FLIM and adaptive gate placement/width selection for time-gated FLIM, enabling information-theoretic acquisition without hardware modification.

physics.ins-det↗

arXiv2025

Energetic vs Inference-Based Invisibility: Fisher-Information Analysis of Two-Layer Acoustic Near-Cloaks

Near-cloaks based on passive coatings can strongly suppress scattered-field energy in a narrow frequency band, yet an observer's ability to infer object parameters from noisy measurements need not decrease proportionally. We develop a fully theoretical two-dimensional (2D) framework for a coated acoustic cylinder in an air background. Using an exact cylindrical-harmonic solution of the Helmholtz equation, we compute the modal scattering coefficients a_m(omega) for a core of radius a surrounded by two concentric effective-fluid layers, and we design the coating to cancel the dominant low-order multipoles (monopole m=0 and dipole m=+/-1) at a target frequency, yielding a narrowband near-cloak. Beyond the conventional energetic metric (total scattering width), we quantify information-based detectability through the Fisher information matrix (FIM) and the associated Cramer-Rao lower bounds (CRLBs) for joint estimation of the size-material parameter vector x=[a, rho1, c1]^T from noisy far-field data. A representative air-background study exhibits an approximately 25 dB reduction in total scattering width near the design frequency, while tr(FIM) decreases by only a few dB, demonstrating that energy-based and inference-based notions of invisibility are distinct objectives. We further provide a low-order analytic argument clarifying the mechanism behind this energetic-informational decoupling and report design-space and local-robustness diagnostics that highlight persistent trade-offs between scattering suppression and parameter identifiability.

physics.optics↗

arXiv2025

Fisher Information as an Operational Metric for Structured Optical Beams

Structured optical beams possess rich spatial features that are commonly characterized using entropic measures of field complexity. However, such measures do not directly quantify the operational usefulness of optical structure for parameter estimation and sensing. Here we introduce Fisher information as an operational metric to assess the metrological content of structured optical fields. By treating the measured intensity distribution as a statistical object, we define Fisher information with respect to physically relevant parameters, such as transverse displacement. We demonstrate that optical modes with comparable Shannon entropy can exhibit markedly different Fisher information, revealing sensitivity features associated with nodal structure and local curvature. Using Hermite--Gaussian modes as minimal test cases, we show that increasing modal order systematically enhances Fisher information. We then extend the analysis to two widely used families in structured light: Laguerre--Gaussian vortex beams and finite-energy Bessel--Gauss beams. Across these representative families, Fisher information provides a unified and experimentally accessible criterion for comparing structured optical fields in sensing applications.

physics.optics↗

arXiv2025

Suborbital Characterization of Atmospheric Profiles and Cosmic Radiation over the Mexican Plateau

We report suborbital in situ measurements of atmospheric thermodynamic variables and ionizing cosmic radiation obtained during a stratospheric balloon experiment conducted over the Mexican Plateau. The flight reached a maximum geometric altitude of 28.94 km above mean sea level, providing vertical sampling of the troposphere, tropopause, and lower stratosphere. Continuous temperature and pressure measurements acquired during ascent and descent were used to derive vertical profiles and to compute atmospheric density as a function of altitude under the hydrostatic approximation. The resulting thermal structure exhibits distinct lapse-rate regimes, allowing for a piecewise parametrization consistent with the International Standard Atmosphere (ISA) within the sampled altitude range. Simultaneous measurements of ionizing radiation show the expected altitude dependence of secondary cosmic-ray fluxes generated by atmospheric cascades, including the formation of a Regener-Pfotzer maximum. A peak ambient dose equivalent rate of 2.96 microGy h^{-1} was measured at an altitude of 18.64 km, consistent with mid-latitude stratospheric conditions. To the best of our knowledge, this experiment constitutes the first documented stratospheric balloon mission conducted in the State of Mexico to combine near-space atmospheric profiling with direct in situ measurements of ionizing cosmic radiation at altitudes approaching 30 km.

physics.ao-ph↗

arXiv2025

Topological reorganization of near-field energy flow governing scattering transitions in subwavelength rectangular grooves

The scattering of electromagnetic waves by subwavelength rectangular grooves has been extensively studied, yet its physical interpretation has largely relied on field-intensity distributions. Here we demonstrate that the transition from concave to convex scattering profiles observed as the groove width approaches the wavelength is governed by a topological reorganization of the near-field energy flow. Using a rigorous modal formulation for TM-polarized fields, we analyze the complex electromagnetic field and the associated time-averaged Poynting vector. We show that reducing the groove width induces the creation, migration, and annihilation of Poynting-vector singularities, including vortices and saddle points, leading to a qualitative restructuring of electromagnetic energy transport. This topological transition redirects the local energy flux and manifests as a convex scattering profile in the far field. The results establish a direct link between near-field energy topology and far-field scattering, providing a unified physical interpretation of subwavelength groove scattering.

physics.optics↗

arXiv2025

Topology of the near field in enhanced transmission through subwavelength apertures

We analyze enhanced optical transmission through subwavelength apertures using a modal formulation for the two fundamental polarizations, transverse electric (TE) and transverse magnetic (TM). Within this framework, the fields inside the aperture are described in terms of guided modes whose excitation and interference govern the transmission process. By examining the near-field energy transport through the time-averaged Poynting vector, we show that resonant transmission is accompanied by a pronounced reorganization of the energy flow in the vicinity of the aperture. As the wavelength is varied across resonance, the energy transport undergoes a topological transition characterized by vortical and saddle-type flow structures, localized backflow regions, and efficient energy funneling through the aperture. These features correlate with strong phase gradients and phase singularities associated with the excited modal fields. The modal approach provides a unified and physically transparent interpretation of enhanced transmission in both slits and channels, applicable to perfect conductors and beyond plasmonic regimes.

physics.optics↗

arXiv2025

Quantum Fisher-information limits of resonant nanophotonic sensors: why high-Q is not optimal even at the quantum limit

We develop a quantum metrological framework for resonant nanophotonic sensors based on subwavelength Fabry--Perot slit cavities. Building on classical Fisher-information analyses of resonant transmission sensors, we model parameter encoding as a phase-and-loss quantum channel embedded in one arm of a Mach-Zehnder interferometer. We derive the quantum Fisher information (QFI) for coherent and Gaussian probe states under linear loss and show that, even at the quantum limit, optimal estimation precision is governed by the generator of parameter-dependent phase shifts rather than by the cavity quality factor. Consequently, the operating point that maximizes the QFI does not generally coincide with the maximum-Q resonance. Quantum resources enhance sensitivity but do not redefine the optimal geometry. Our results provide physically transparent design principles for quantum-enhanced nanophotonic sensing.

quant-ph↗

arXiv2025

Analytical Fresnel Treatment of Double-Slit Diffraction with Multiple Coherent Waves

We present an analytical and numerical investigation of double-slit diffraction under coherent illumination by three plane waves: one normally incident and two symmetrically angled at plus/minus theta. By imposing an edge-zero condition on the incident field, we derive compact closed-form Fresnel expressions written solely in terms of standard Fresnel integrals. The framework generalizes straightforwardly to an arbitrary number of incident plane-wave components, enabling intuitive control of the transmitted angular spectrum through interference engineered at the aperture. Numerical simulations confirm the accuracy of the closed-form model and characterize the influence of slit geometry, wavelength, partial coherence, and Gaussian beam width. We also discuss experimental feasibility and highlight potential applications in apodization, structured illumination, beam shaping, and multiplexed sensing. Overall, the results show that multi-wave coherent illumination provides a simple and tunable route to tailoring diffraction patterns and generating propagation-robust field profiles.

physics.optics↗