Details
| Originalsprache | Englisch |
|---|---|
| Titel des Sammelwerks | Computational Optics II |
| Herausgeber (Verlag) | SPIE |
| ISBN (elektronisch) | 9781510619258 |
| Publikationsstatus | Veröffentlicht - 28 Mai 2018 |
| Veranstaltung | Computational Optics II 2018 - Frankfurt, Deutschland Dauer: 15 Mai 2018 → 17 Mai 2018 |
Publikationsreihe
| Name | Proceedings of SPIE - The International Society for Optical Engineering |
|---|---|
| Band | 10694 |
| ISSN (Print) | 0277-786X |
| ISSN (elektronisch) | 1996-756X |
Abstract
We present a numerical approach for the accurate simulation of the complex propagation dynamics of ultrashort optical pulses in nonlinear waveguides, especially valid for few-cycle pulses. The propagation models are derived for the analytical signal, which includes the real optical field, exempt from the commonly adopted slowly varying envelope approximation. As technical basis for the representation of the medium dispersion we use rational Pade approximants instead of commonly employed high-order polynomial expansions. The implementation of the propagation equation is based on the Runge-Kutta in the interaction picture method. In addition, our modular approach easily allows to incorporate a Raman response and dispersion in the nonlinear term. As exemplary use-cases we illustrate our numerical approach for the simulation of a few-cycle pulse at various center frequencies for an exemplary photonic crystal fiber and demonstrate the collision of a soliton and two different dispersive waves mediated by their group-velocity event horizon.
ASJC Scopus Sachgebiete
- Werkstoffwissenschaften (insg.)
- Elektronische, optische und magnetische Materialien
- Physik und Astronomie (insg.)
- Physik der kondensierten Materie
- Informatik (insg.)
- Angewandte Informatik
- Mathematik (insg.)
- Angewandte Mathematik
- Ingenieurwesen (insg.)
- Elektrotechnik und Elektronik
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Computational Optics II. SPIE, 2018. 106940M (Proceedings of SPIE - The International Society for Optical Engineering; Band 10694).
Publikation: Beitrag in Buch/Bericht/Sammelwerk/Konferenzband › Aufsatz in Konferenzband › Forschung › Peer-Review
}
TY - GEN
T1 - Accurate propagation of ultrashort pulses in nonlinear waveguides using propagation models for the analytic signal
AU - Melchert, Oliver
AU - Morgner, Uwe
AU - Roth, Bernhard Wilhelm
AU - Babushkin, Ihar
AU - Demircan, Ayhan
N1 - Funding information: This research work received funding from the VolkswagenStiftung within the Niedersachsisches Vorab program in the framework of the project Hybrid Numerical Optics (HYMNOS; Grant ZN 3061).
PY - 2018/5/28
Y1 - 2018/5/28
N2 - We present a numerical approach for the accurate simulation of the complex propagation dynamics of ultrashort optical pulses in nonlinear waveguides, especially valid for few-cycle pulses. The propagation models are derived for the analytical signal, which includes the real optical field, exempt from the commonly adopted slowly varying envelope approximation. As technical basis for the representation of the medium dispersion we use rational Pade approximants instead of commonly employed high-order polynomial expansions. The implementation of the propagation equation is based on the Runge-Kutta in the interaction picture method. In addition, our modular approach easily allows to incorporate a Raman response and dispersion in the nonlinear term. As exemplary use-cases we illustrate our numerical approach for the simulation of a few-cycle pulse at various center frequencies for an exemplary photonic crystal fiber and demonstrate the collision of a soliton and two different dispersive waves mediated by their group-velocity event horizon.
AB - We present a numerical approach for the accurate simulation of the complex propagation dynamics of ultrashort optical pulses in nonlinear waveguides, especially valid for few-cycle pulses. The propagation models are derived for the analytical signal, which includes the real optical field, exempt from the commonly adopted slowly varying envelope approximation. As technical basis for the representation of the medium dispersion we use rational Pade approximants instead of commonly employed high-order polynomial expansions. The implementation of the propagation equation is based on the Runge-Kutta in the interaction picture method. In addition, our modular approach easily allows to incorporate a Raman response and dispersion in the nonlinear term. As exemplary use-cases we illustrate our numerical approach for the simulation of a few-cycle pulse at various center frequencies for an exemplary photonic crystal fiber and demonstrate the collision of a soliton and two different dispersive waves mediated by their group-velocity event horizon.
KW - analytic signal
KW - barrier scattering
KW - solitons
KW - Unidirectional field propagation
UR - http://www.scopus.com/inward/record.url?scp=85050217982&partnerID=8YFLogxK
U2 - 10.1117/12.2313255
DO - 10.1117/12.2313255
M3 - Conference contribution
AN - SCOPUS:85050217982
T3 - Proceedings of SPIE - The International Society for Optical Engineering
BT - Computational Optics II
PB - SPIE
T2 - Computational Optics II 2018
Y2 - 15 May 2018 through 17 May 2018
ER -