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"Chirpons": one-dimensional phase singularities as atypical local oscillations

2025/09/26 by Enrique G. Neyra, Neyra, Enrique G., Laureano A. Bulus Rossini +7 · 1 voice
Computer Science · Physics and Astronomy · #FOS: Physical sciences #General Physics (physics.gen-ph) #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Quantum Mechanics and Non-Hermitian Physics #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.2510.07327

openalex publication_date 2025/09/26 · arxiv published 2025/09/26 · arxiv updated 2025/09/26 · openalex created_date 2025/10/11 · openalex updated_date 2026/07/28

Abstract

In this work, phase singularities embedded in a wavepacket are shown to act as sources of atypical localized oscillations when the packet interacts with a linear system. We refer to these oscillations as chirpons, since they arise as strong variations of the instantaneous frequency (chirp). A mathematical expression is then provided to describe chirpons, and their behavior is explored through the interaction of a super-bandwidth wavepacket -- containing two singularities -- with a damped harmonic oscillator, a fundamental model for many physical systems. This interaction is analyzed theoretically, and the predictions are verified experimentally using a resonant electrical circuit as a realization of the oscillator. The results show that chirpons evolve in a manner fundamentally different from standard Fourier oscillations, revealing features of linear systems that are otherwise inaccessible. This introduces a new approach to analyze and characterize system responses, with potential applications in high-resolution spectroscopy and signal sensing.

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