Chirped Pulse Analysis and Control in Non-Hermitian Scattering Systems using Complex Time Delay

Fuente: arXiv
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Autores principales: Giovannelli, Isabella L., Anlage, Steven M., Antonsen, Thomas M.
Formato: Preprint
Publicado: 2026
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author Giovannelli, Isabella L.
Anlage, Steven M.
Antonsen, Thomas M.
author_facet Giovannelli, Isabella L.
Anlage, Steven M.
Antonsen, Thomas M.
contents We theoretically and experimentally establish a connection between linearly chirped pulse propagation properties and the complex generalization of Wigner-Smith time delay for both transmitted and reflected pulses in linear and dispersive reverberant non-Hermitian scattering systems. We demonstrate that the time shift of the chirped pulse depends on both the real and imaginary parts of the complex time delay of the scattering system. We also show that the chirped pulse experiences a center frequency shift that is directly proportional to the imaginary component of complex time delay, similar to that found in Giovannelli and Anlage (2025). Using these insights, we then demonstrate how complex time delay can be harnessed to systematically tune the propagation properties of a chirped pulse such that a near-zero time shift can be achieved for a wide range of pulse center frequencies in a resonant scattering system. Overall, this work broadens the utility and establishes the physical significance of complex time delays in non-Hermitian settings.
format Preprint
id arxiv_https___arxiv_org_abs_2602_22034
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Chirped Pulse Analysis and Control in Non-Hermitian Scattering Systems using Complex Time Delay
Giovannelli, Isabella L.
Anlage, Steven M.
Antonsen, Thomas M.
Optics
We theoretically and experimentally establish a connection between linearly chirped pulse propagation properties and the complex generalization of Wigner-Smith time delay for both transmitted and reflected pulses in linear and dispersive reverberant non-Hermitian scattering systems. We demonstrate that the time shift of the chirped pulse depends on both the real and imaginary parts of the complex time delay of the scattering system. We also show that the chirped pulse experiences a center frequency shift that is directly proportional to the imaginary component of complex time delay, similar to that found in Giovannelli and Anlage (2025). Using these insights, we then demonstrate how complex time delay can be harnessed to systematically tune the propagation properties of a chirped pulse such that a near-zero time shift can be achieved for a wide range of pulse center frequencies in a resonant scattering system. Overall, this work broadens the utility and establishes the physical significance of complex time delays in non-Hermitian settings.
title Chirped Pulse Analysis and Control in Non-Hermitian Scattering Systems using Complex Time Delay
topic Optics
url https://arxiv.org/abs/2602.22034