Tunable All-Optical System for Time-to-Frequency Mapping by Parabolic Cross-Phase Modulation in the Spectral Fraunhofer Regime

According to the new condition of the pump peak power, we report a developed approach to achieve time-frequency mapping (TFM) in the spectral Fraunhofer regime by a single all-optical time lens using parabolic cross-phase modulation (XPM). The condition is obtained by combining the far-field spectra...

Full description

Bibliographic Details
Main Authors: Youcef Driouche, Badr-Eddine Benkelfat
Format: Article
Language:English
Published: IEEE 2023-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/10256182/
_version_ 1797668006930677760
author Youcef Driouche
Badr-Eddine Benkelfat
author_facet Youcef Driouche
Badr-Eddine Benkelfat
author_sort Youcef Driouche
collection DOAJ
description According to the new condition of the pump peak power, we report a developed approach to achieve time-frequency mapping (TFM) in the spectral Fraunhofer regime by a single all-optical time lens using parabolic cross-phase modulation (XPM). The condition is obtained by combining the far-field spectral Fraunhofer regime with the ability of parabolic pump pulses to induce a pure quadratic phase modulation. The derived condition allows the tunability of the mapping by different strategies when probe pulses with different durations are targeted. For design requirements, we show the complete family of bright and dark parabolic pump pulses, which can be implemented depending on the shape of the probe. In order to overcome the limits of the far-field TFM, we demonstrate as a solution the so-called near-field TFM for narrowband mapping. We also discuss potential applications in a variety of fields to provide more insight into the developed approach.
first_indexed 2024-03-11T20:22:47Z
format Article
id doaj.art-e05e23bd77ee493583cd18274817e0d3
institution Directory Open Access Journal
issn 2169-3536
language English
last_indexed 2024-03-11T20:22:47Z
publishDate 2023-01-01
publisher IEEE
record_format Article
series IEEE Access
spelling doaj.art-e05e23bd77ee493583cd18274817e0d32023-10-02T23:01:51ZengIEEEIEEE Access2169-35362023-01-011110471210472210.1109/ACCESS.2023.331751710256182Tunable All-Optical System for Time-to-Frequency Mapping by Parabolic Cross-Phase Modulation in the Spectral Fraunhofer RegimeYoucef Driouche0https://orcid.org/0000-0001-6843-0689Badr-Eddine Benkelfat1https://orcid.org/0000-0002-5756-1859SAMOVAR Laboratory, Télécom SudParis, Institut Polytechnique de Paris, Palaiseau, FranceSAMOVAR Laboratory, Télécom SudParis, Institut Polytechnique de Paris, Palaiseau, FranceAccording to the new condition of the pump peak power, we report a developed approach to achieve time-frequency mapping (TFM) in the spectral Fraunhofer regime by a single all-optical time lens using parabolic cross-phase modulation (XPM). The condition is obtained by combining the far-field spectral Fraunhofer regime with the ability of parabolic pump pulses to induce a pure quadratic phase modulation. The derived condition allows the tunability of the mapping by different strategies when probe pulses with different durations are targeted. For design requirements, we show the complete family of bright and dark parabolic pump pulses, which can be implemented depending on the shape of the probe. In order to overcome the limits of the far-field TFM, we demonstrate as a solution the so-called near-field TFM for narrowband mapping. We also discuss potential applications in a variety of fields to provide more insight into the developed approach.https://ieeexplore.ieee.org/document/10256182/Spectral Fraunhofer regimecross-phase modulationtime-to-frequency mapping
spellingShingle Youcef Driouche
Badr-Eddine Benkelfat
Tunable All-Optical System for Time-to-Frequency Mapping by Parabolic Cross-Phase Modulation in the Spectral Fraunhofer Regime
IEEE Access
Spectral Fraunhofer regime
cross-phase modulation
time-to-frequency mapping
title Tunable All-Optical System for Time-to-Frequency Mapping by Parabolic Cross-Phase Modulation in the Spectral Fraunhofer Regime
title_full Tunable All-Optical System for Time-to-Frequency Mapping by Parabolic Cross-Phase Modulation in the Spectral Fraunhofer Regime
title_fullStr Tunable All-Optical System for Time-to-Frequency Mapping by Parabolic Cross-Phase Modulation in the Spectral Fraunhofer Regime
title_full_unstemmed Tunable All-Optical System for Time-to-Frequency Mapping by Parabolic Cross-Phase Modulation in the Spectral Fraunhofer Regime
title_short Tunable All-Optical System for Time-to-Frequency Mapping by Parabolic Cross-Phase Modulation in the Spectral Fraunhofer Regime
title_sort tunable all optical system for time to frequency mapping by parabolic cross phase modulation in the spectral fraunhofer regime
topic Spectral Fraunhofer regime
cross-phase modulation
time-to-frequency mapping
url https://ieeexplore.ieee.org/document/10256182/
work_keys_str_mv AT youcefdriouche tunableallopticalsystemfortimetofrequencymappingbyparaboliccrossphasemodulationinthespectralfraunhoferregime
AT badreddinebenkelfat tunableallopticalsystemfortimetofrequencymappingbyparaboliccrossphasemodulationinthespectralfraunhoferregime