286
L. V. Shmeleva et al.
5 Conclusions
The work describes in detail the procedure that allows us to establish a relationship
between a local coordinate system associated with an arbitrary point on the moving
surface of a laser-stimulated crater; and a laboratory coordinate system associated,
generally speaking, with an arbitrary point on an immovable part of the surface
(which does not destruction). This connection allows one to determine the velocities
of the movement of surface points and points of material, and also the coordinates of
any point of material both in the laboratory coordinate system and in local systems
associated with a specific surface point. The relationship between the local and
laboratory systems makes it possible to relate the results of theoretical calculations
that are convenient to perform in the local system, with experimental observations
that are performed in the laboratory system. Based on these transformations, a partial
differential equation is formulated in the work, which allows one to observe the
development of a nanocrater on an irradiated surface. A numerical simulation of the
development of a nanocrater was performed for a set typical model form of pressure
dynamics stimulated by an active laser pulse. It was confirmed that the formation
of a crater on the surface of a solid substance begins during the action of a pulse
and stops almost immediately after its completion. The test calculations carried out
in the study correspond to experimental observation and theoretical ideas about the
development of a corrosion crater under pulsed laser irradiation.
References
1. Gerke MN, Khorkov KS, Telushko OB, Bolshakova ON, Prokoshev VG, Arakelian SM (2010)
Formation of nanostructures at laser ablation under the action of ultrashort laser impulses on a
surface of solid states. Phys Proc 5(A):213–219. https://doi.org/10.1016/j.phpro.2010.08.139.
https://www.sciencedirect.com/science/article/pii/S1875389210005651
2. Romashevskiy SA, Ashitkov SI, Dmitriev AS (2016) Formation of ordered nano- and
mesostructures in silicon irradiated with a single femtosecond laser pulse in different environments. Tech Phys Lett 42(8):810–813. https://link.springer.com/article/10.1134/S10637850
16080150
3. Veyko VP (2007) Lazerna mikroobrobka - - Sankt-Peterburh: SPbGU ITMO, 111 pp.
4. Romashevskiy SI (2018) Singularities of silicon surface nanostructuring due to ultrafast heating
in water by a femtosecond laser pulse. Tech Phys Lett 44(7):630–633. https://link.springer.com/
article/10.1134/S1063785018070271
5. Romashevskiy SA, Ashitkov SI, Ovchinnikov AV, Kondratenko PS, Agranat MB (2016) Formation of periodic mesoscale structures arranged in a circular symmetry at the silicon surface
exposed to radiation of a single femtosecond laser pulse, Appl Surf Sci 374:12–18. https://
www.sciencedirect.com/science/article/pii/S0169433215016797
6. Bonse J, Baudach S, Kruger J, Kautek W, Lenzner M (2002) Femtosecond laser ablation of
silicon-modification thresholds and morphology. Appl Phys A Mater Sci Process 74(1):19–25.
https://link.springer.com/article/10.1007/s003390100893
7. Wu Z, Zhang N, Zhu X, An L, Wang G, Tan M (2018) Time-resolved shadowgraphs and
morphology analyses of aluminum ablation with multiple femtosecond laser pulses. Chin Phys
B 27(7):077901. http://iopscience.iop.org/article/10.1088/1674-1056/27/7/077901/meta
L. V. Shmeleva et al.
5 Conclusions
The work describes in detail the procedure that allows us to establish a relationship
between a local coordinate system associated with an arbitrary point on the moving
surface of a laser-stimulated crater; and a laboratory coordinate system associated,
generally speaking, with an arbitrary point on an immovable part of the surface
(which does not destruction). This connection allows one to determine the velocities
of the movement of surface points and points of material, and also the coordinates of
any point of material both in the laboratory coordinate system and in local systems
associated with a specific surface point. The relationship between the local and
laboratory systems makes it possible to relate the results of theoretical calculations
that are convenient to perform in the local system, with experimental observations
that are performed in the laboratory system. Based on these transformations, a partial
differential equation is formulated in the work, which allows one to observe the
development of a nanocrater on an irradiated surface. A numerical simulation of the
development of a nanocrater was performed for a set typical model form of pressure
dynamics stimulated by an active laser pulse. It was confirmed that the formation
of a crater on the surface of a solid substance begins during the action of a pulse
and stops almost immediately after its completion. The test calculations carried out
in the study correspond to experimental observation and theoretical ideas about the
development of a corrosion crater under pulsed laser irradiation.
References
1. Gerke MN, Khorkov KS, Telushko OB, Bolshakova ON, Prokoshev VG, Arakelian SM (2010)
Formation of nanostructures at laser ablation under the action of ultrashort laser impulses on a
surface of solid states. Phys Proc 5(A):213–219. https://doi.org/10.1016/j.phpro.2010.08.139.
https://www.sciencedirect.com/science/article/pii/S1875389210005651
2. Romashevskiy SA, Ashitkov SI, Dmitriev AS (2016) Formation of ordered nano- and
mesostructures in silicon irradiated with a single femtosecond laser pulse in different environments. Tech Phys Lett 42(8):810–813. https://link.springer.com/article/10.1134/S10637850
16080150
3. Veyko VP (2007) Lazerna mikroobrobka - - Sankt-Peterburh: SPbGU ITMO, 111 pp.
4. Romashevskiy SI (2018) Singularities of silicon surface nanostructuring due to ultrafast heating
in water by a femtosecond laser pulse. Tech Phys Lett 44(7):630–633. https://link.springer.com/
article/10.1134/S1063785018070271
5. Romashevskiy SA, Ashitkov SI, Ovchinnikov AV, Kondratenko PS, Agranat MB (2016) Formation of periodic mesoscale structures arranged in a circular symmetry at the silicon surface
exposed to radiation of a single femtosecond laser pulse, Appl Surf Sci 374:12–18. https://
www.sciencedirect.com/science/article/pii/S0169433215016797
6. Bonse J, Baudach S, Kruger J, Kautek W, Lenzner M (2002) Femtosecond laser ablation of
silicon-modification thresholds and morphology. Appl Phys A Mater Sci Process 74(1):19–25.
https://link.springer.com/article/10.1007/s003390100893
7. Wu Z, Zhang N, Zhu X, An L, Wang G, Tan M (2018) Time-resolved shadowgraphs and
morphology analyses of aluminum ablation with multiple femtosecond laser pulses. Chin Phys
B 27(7):077901. http://iopscience.iop.org/article/10.1088/1674-1056/27/7/077901/meta