Details
| Original language | English |
|---|---|
| Title of host publication | Commercial and Biomedical Applications of Ultrafast Lasers V |
| Publisher | SPIE |
| Pages | 126-137 |
| Number of pages | 12 |
| Publication status | Published - 21 Mar 2005 |
| Event | Lasers and Applications in Science and Engineering - San Jose, California, United States Duration: 22 Jan 2005 → 27 Jan 2005 |
Publication series
| Name | Proceedings of SPIE - The International Society for Optical Engineering |
|---|---|
| Volume | 5714 |
| ISSN (Print) | 0277-786X |
Abstract
In the focal region of tightly focused ultrashort laser pulses, sufficient high intensities to initialize nonlinear ionization processes are easily achieved. Due to these nonlinear ionization processes, mainly multiphoton ionization and cascade ionization, free electrons are generated in the focus resulting in optical breakdown. A model including both nonlinear pulse propagation and plasma generation is used to calculate numerically the interaction of ultrashort pulses with their self-induced plasma in the vicinity of the focus. The model is based on a (3+1)-dimensional nonlinear Schrödinger equation describing the pulse propagation coupled to a system of rate equations covering the generation of free electrons. It is applicable to any transparent Kerr medium, whose linear and nonlinear optical parameters are known. Numerical calculations based on this model are used to understand nonlinear side effects, such as streak formation, occurring in addition to optical breakdown during short pulse refractive eye surgeries like fs-LASIK. Since the optical parameters of water are a good first-order approximation to those of corneal tissue, water is used as model substance. The free electron density distribution induced by focused ultrashort pulses as well as the pulses spatio-temporal behavior are studied in the low-power regime around the critical power for self-focusing.
Keywords
- Nonlinear Pulse Propagation, Ophthalmology, Optical Breakdown, Ultrashort Laser Pulses
ASJC Scopus subject areas
- Materials Science(all)
- Electronic, Optical and Magnetic Materials
- Physics and Astronomy(all)
- Condensed Matter Physics
- Computer Science(all)
- Computer Science Applications
- Mathematics(all)
- Applied Mathematics
- Engineering(all)
- Electrical and Electronic Engineering
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
Commercial and Biomedical Applications of Ultrafast Lasers V. SPIE, 2005. p. 126-137 (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 5714).
Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
}
TY - GEN
T1 - Numerical calculation of nonlinear ultrashort laser pulse propagation in transparent Kerr media
AU - Arnold, C. L.
AU - Heisterkamp, A.
AU - Ertmer, W.
AU - Lubatschowski, H.
PY - 2005/3/21
Y1 - 2005/3/21
N2 - In the focal region of tightly focused ultrashort laser pulses, sufficient high intensities to initialize nonlinear ionization processes are easily achieved. Due to these nonlinear ionization processes, mainly multiphoton ionization and cascade ionization, free electrons are generated in the focus resulting in optical breakdown. A model including both nonlinear pulse propagation and plasma generation is used to calculate numerically the interaction of ultrashort pulses with their self-induced plasma in the vicinity of the focus. The model is based on a (3+1)-dimensional nonlinear Schrödinger equation describing the pulse propagation coupled to a system of rate equations covering the generation of free electrons. It is applicable to any transparent Kerr medium, whose linear and nonlinear optical parameters are known. Numerical calculations based on this model are used to understand nonlinear side effects, such as streak formation, occurring in addition to optical breakdown during short pulse refractive eye surgeries like fs-LASIK. Since the optical parameters of water are a good first-order approximation to those of corneal tissue, water is used as model substance. The free electron density distribution induced by focused ultrashort pulses as well as the pulses spatio-temporal behavior are studied in the low-power regime around the critical power for self-focusing.
AB - In the focal region of tightly focused ultrashort laser pulses, sufficient high intensities to initialize nonlinear ionization processes are easily achieved. Due to these nonlinear ionization processes, mainly multiphoton ionization and cascade ionization, free electrons are generated in the focus resulting in optical breakdown. A model including both nonlinear pulse propagation and plasma generation is used to calculate numerically the interaction of ultrashort pulses with their self-induced plasma in the vicinity of the focus. The model is based on a (3+1)-dimensional nonlinear Schrödinger equation describing the pulse propagation coupled to a system of rate equations covering the generation of free electrons. It is applicable to any transparent Kerr medium, whose linear and nonlinear optical parameters are known. Numerical calculations based on this model are used to understand nonlinear side effects, such as streak formation, occurring in addition to optical breakdown during short pulse refractive eye surgeries like fs-LASIK. Since the optical parameters of water are a good first-order approximation to those of corneal tissue, water is used as model substance. The free electron density distribution induced by focused ultrashort pulses as well as the pulses spatio-temporal behavior are studied in the low-power regime around the critical power for self-focusing.
KW - Nonlinear Pulse Propagation
KW - Ophthalmology
KW - Optical Breakdown
KW - Ultrashort Laser Pulses
UR - http://www.scopus.com/inward/record.url?scp=21844455756&partnerID=8YFLogxK
U2 - 10.1117/12.588903
DO - 10.1117/12.588903
M3 - Conference contribution
AN - SCOPUS:21844455756
T3 - Proceedings of SPIE - The International Society for Optical Engineering
SP - 126
EP - 137
BT - Commercial and Biomedical Applications of Ultrafast Lasers V
PB - SPIE
T2 - Lasers and Applications in Science and Engineering
Y2 - 22 January 2005 through 27 January 2005
ER -