Details
| Original language | English |
|---|---|
| Article number | 9321483 |
| Journal | IEEE Journal of Quantum Electronics |
| Volume | 57 |
| Issue number | 2 |
| Publication status | Published - 13 Jan 2021 |
Abstract
The theoretical framework of the Haus master equation of passive mode-locking is revisited. Reformulating the equation in the frequency domain as coupled ordinary differential equations, the complete set of fundamental soliton solutions is surveyed. For large values of anomalous dispersion, this leads to the well known bell-shaped solutions originally found by inverse scattering. Closer to zero dispersion, mode-locked spectra are affected by the available gain bandwidth, and solitons with Bessel-like temporal profiles are found. These spectrally caged solitons match previously unexplained pulse characterization measurements of few-cycle oscillators and mode-locked fiber lasers in the normal dispersion regime. Moreover, the frequency domain formalism suggests that a phase lock between the modes can even be established in the absence of saturable absorption. This finding may explain numerous mysterious experimental reports of mode-locking or comb formation in passive microring resonators and semiconductor lasers. Therefore our frequency-domain approach sheds new light into soliton physics from a completely different perspective.
Keywords
- frequency comb formation, Mode-locking, solitons
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
- Physics and Astronomy(all)
- Condensed Matter Physics
- Engineering(all)
- Electrical and Electronic Engineering
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: IEEE Journal of Quantum Electronics, Vol. 57, No. 2, 9321483, 13.01.2021.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Cage Solitons
AU - Escoto, Esmerando
AU - Demircan, Ayhan
AU - Steinmeyer, Gunter
N1 - Funding Information: Manuscript received August 8, 2020; revised December 11, 2020; accepted January 4, 2021. Date of publication January 13, 2021; date of current version February 1, 2021. This work was supported in part by Deutsche Forschungsgemeinschaft (DFG) under Grant STE 762/11-1 and in part by the Germany’s Excellence Strategy within the Cluster of Excellence PhoenixD (Photonics, Optics, and Engineering Innovation Across Disciplines) (projectID 390833453) under Grant EXC 2122. (Corresponding author: Günter Steinmeyer.) Esmerando Escoto was with the Max Born Institute for Nonlinear Optics and Short Pulse Spectroscopy, 12489 Berlin, Germany. He is now with DESY – Photon Science, 22607 Hamburg, Germany (e-mail: esmerando.escoto@desy.de).
PY - 2021/1/13
Y1 - 2021/1/13
N2 - The theoretical framework of the Haus master equation of passive mode-locking is revisited. Reformulating the equation in the frequency domain as coupled ordinary differential equations, the complete set of fundamental soliton solutions is surveyed. For large values of anomalous dispersion, this leads to the well known bell-shaped solutions originally found by inverse scattering. Closer to zero dispersion, mode-locked spectra are affected by the available gain bandwidth, and solitons with Bessel-like temporal profiles are found. These spectrally caged solitons match previously unexplained pulse characterization measurements of few-cycle oscillators and mode-locked fiber lasers in the normal dispersion regime. Moreover, the frequency domain formalism suggests that a phase lock between the modes can even be established in the absence of saturable absorption. This finding may explain numerous mysterious experimental reports of mode-locking or comb formation in passive microring resonators and semiconductor lasers. Therefore our frequency-domain approach sheds new light into soliton physics from a completely different perspective.
AB - The theoretical framework of the Haus master equation of passive mode-locking is revisited. Reformulating the equation in the frequency domain as coupled ordinary differential equations, the complete set of fundamental soliton solutions is surveyed. For large values of anomalous dispersion, this leads to the well known bell-shaped solutions originally found by inverse scattering. Closer to zero dispersion, mode-locked spectra are affected by the available gain bandwidth, and solitons with Bessel-like temporal profiles are found. These spectrally caged solitons match previously unexplained pulse characterization measurements of few-cycle oscillators and mode-locked fiber lasers in the normal dispersion regime. Moreover, the frequency domain formalism suggests that a phase lock between the modes can even be established in the absence of saturable absorption. This finding may explain numerous mysterious experimental reports of mode-locking or comb formation in passive microring resonators and semiconductor lasers. Therefore our frequency-domain approach sheds new light into soliton physics from a completely different perspective.
KW - frequency comb formation
KW - Mode-locking
KW - solitons
UR - http://www.scopus.com/inward/record.url?scp=85099547804&partnerID=8YFLogxK
U2 - 10.1109/JQE.2021.3051256
DO - 10.1109/JQE.2021.3051256
M3 - Article
AN - SCOPUS:85099547804
VL - 57
JO - IEEE Journal of Quantum Electronics
JF - IEEE Journal of Quantum Electronics
SN - 0018-9197
IS - 2
M1 - 9321483
ER -