TY - JOUR

T1 - Manipulation of Strongly Interacting Solitons in Optical Fiber Experiments

AU - Mucci, Alexandre

AU - Suret, Pierre

AU - Copie, François

AU - Randoux, Stephane

AU - Mullyadzhanov, Rustam

AU - Gelash, Andrey

N1 - This work of P.\u2009S., F.\u2009C., A.\u2009M., and S.\u2009R. has been partially supported by the Agence Nationale de la Recherche through the LABEX CEMPI project (ANR-11-LABX-0007), the SOGOOD (SOGOOD ANR-21-CE30-0061) and StormWave (StormWave ANR-21-CE30-0009) projects, the Ministry of Higher Education and Research, Hauts de France Council and European Regional Development Fund (ERDF) through the Nord-Pas de Calais Regional Research Council, and the European Regional Development Fund (ERDF) through the Contrat de Projets Etat-R\u00E9gion (CPER Wavetech). P.\u2009S., F.\u2009C., A.\u2009M., and S.\u2009R. thank the Centre d\u2019Etudes et de Recherches Lasers et Applications CERLA for the technical help and equipment. The authors thank the Isaac Newton Institute for Mathematical Sciences, Cambridge, for its support and hospitality during the program \u201CEmergent phenomena in nonlinear dispersive waves,\u201D during which significant progress was made on this work. The work of R.\u...Смотреть все

PY - 2025/5/15

Y1 - 2025/5/15

N2 - The model underlying physics of guiding light in single-mode fibers—the one-dimensional nonlinear Schrödinger equation (NLSE)—reveals a remarkable balance of the fiber dispersion and nonlinearity, leading to the existence of optical solitons. With the inverse scattering transform (IST) method and its perturbation theory extension, one can go beyond single-soliton physics and investigate nonlinear dynamics of complex optical pulses driven by soliton interactions. Here, advancing the IST perturbation theory approach, we introduce the eigenvalue response functions, which provide an intuitively clear way to manipulate individual characteristics of solitons even in the case of their entire overlapping, i.e., very strong interactions. The response functions reveal the spatial sensitivity of the multisoliton pulse concerning its instantaneous perturbations, allowing one to manipulate the velocities and amplitudes of each soliton. Based on a recirculating optical fiber loop system and homodyne measurement, our experimental setup enables observation of long-distance spatiotemporal NLSE dynamics and complete phase-amplitude characterization of optical pulses containing several solitons, which provides accurate experimental IST spectra. Adding a localized phase perturbation on a box-shaped wave field, we change individual soliton characteristics and can detach solitons selectively from the whole pulse. The detached solitons exhibit velocities very close to the theoretical predictions, thereby demonstrating the efficiency and robustness of the response functions approach.

AB - The model underlying physics of guiding light in single-mode fibers—the one-dimensional nonlinear Schrödinger equation (NLSE)—reveals a remarkable balance of the fiber dispersion and nonlinearity, leading to the existence of optical solitons. With the inverse scattering transform (IST) method and its perturbation theory extension, one can go beyond single-soliton physics and investigate nonlinear dynamics of complex optical pulses driven by soliton interactions. Here, advancing the IST perturbation theory approach, we introduce the eigenvalue response functions, which provide an intuitively clear way to manipulate individual characteristics of solitons even in the case of their entire overlapping, i.e., very strong interactions. The response functions reveal the spatial sensitivity of the multisoliton pulse concerning its instantaneous perturbations, allowing one to manipulate the velocities and amplitudes of each soliton. Based on a recirculating optical fiber loop system and homodyne measurement, our experimental setup enables observation of long-distance spatiotemporal NLSE dynamics and complete phase-amplitude characterization of optical pulses containing several solitons, which provides accurate experimental IST spectra. Adding a localized phase perturbation on a box-shaped wave field, we change individual soliton characteristics and can detach solitons selectively from the whole pulse. The detached solitons exhibit velocities very close to the theoretical predictions, thereby demonstrating the efficiency and robustness of the response functions approach.

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-105005260464&origin=inward&txGid=d4dd58d063e35a96aa456bcc030065c2

U2 - 10.1103/PhysRevLett.134.193804

DO - 10.1103/PhysRevLett.134.193804

M3 - Article

VL - 134

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 19

M1 - 1936804

ER -