Abstract
The absorption of high-power visible or near-IR laser radiation by free electrons is calculated using the modified resonance approximation. The probabilities Wexc of intraband transitions at which the electron energy changes by ℏ(ω ± ωl), where ω is the frequency of light and ωl is the frequency of longitudinal optical phonons involved in the process, are determined. It is shown that specific electron–phonon Rabi oscillations at a frequency of ΩR may take place, and that the light is absorbed only up to the moment of time at which the first maximum τ1 on the dependence Wexc(t) is reached, where t is the time elapsed from the beginning of the laser pulse. It is shown that, in the case of prebreakdown light intensities, processes of high orders in the field of the light wave affect substantially Wexc, τ1, and ΩR.
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REFERENCES
A. A. Manenkov and A. M. Prokhorov, Sov. Phys. Usp. 29, 104 (1986). https://doi.org/10.1070/PU1986v029n01ABEH003117
S. C. Jones, P. Braunlich, R. T. Casper, X. A. Shen, and P. Kelly, Opt. Eng. 28, 281039 (1989). https://doi.org/10.1117/12.7977089
M. Lenzner, J. Krüger, S. Sartania, Z. Cheng, C. Spielmann, G. Mourou, W. Kautek, and F. Krausz, Phys. Rev. Lett. 80, 4076 (1998). https://doi.org/10.1103/PhysRevLett.80.4076
B. C. Stuart, M. D. Feit, S. Herman, A. M. Rubenchik, B. W. Shore, and M. D. Perry, Phys. Rev. B 53, 1749 (1996). https://doi.org/10.1103/PhysRevB.53.1749
D. M. Simanovskii, H. A. Schwettman, H. Lee, and A. J. Welch, Phys. Rev. Lett. 91, 107601 (2003). https://doi.org/10.1103/PhysRevLett.91.107601
N. M. Bulgakova, R. Stoian, A. Rosenfeld, I. V. Hertel, and E. E. B. Campbell, Phys. Rev. B 69, 054102 (2004). https://doi.org/10.1103/PhysRevB.69.054102
Y. P. Deng, X. H. Xie, H. Xiong, Y. X. Leng, C. F. Cheng, H. H. Lu, R. X. Li, and Z. Xu, Opt. Express 13, 3096 (2005). https://doi.org/10.1364/OPEX.13.003096
B. Rethfeld, Phys. Rev. B 73, 035101 (2006). https://doi.org/10.1103/PhysRevB.73.035101
H. Bachau, A. N. Belsky, I. B. Bogatyrev, J. Gaudin, G. Geoffroy, S. Guizard, P. Martin, Yu. V. Popov, A. N. Vasil’ev, and B. N. Yatsenko, Appl. Phys. A 98, 679 (2010). https://doi.org/10.1007/s00339-009-5465-y
H. Y. Chen, Z. Z. Wan, and Y. L. Han, Appl. Mech. Mater. 142, 134 (2011). doi 10.4028/www.scientific.net/amm.142.134
I. Mirza, N. M. Bulgakova, J. Tomáštík, V. Michálek, O. Haderka, L. Fekete, and T. Mocek, Sci. Rep. 6, 39133 (2016). https://doi.org/10.1038/srep39133
Zh. Lin, L. Ji, and M. Hong, Photon. Res. 8, 271 (2020). https://doi.org/10.1364/PRJ.379254
E. Yu. Perlin, A. V. Fedorov, and M. B. Kashevnik, Sov. Phys. JETP 58, 787 (1983).
E. Yu. Perlin, A. V. Ivanov, and R. S. Levitskii, J. Exp. Theor. Phys. 101, 357 (2005). https://doi.org/10.1134/1.2047802
H. Y. Fan, W. Spitzer, and R. J. Collins, Phys. Rev. 101, 567 (1956). https://doi.org/10.1016/0038-1098(86)90279-6
K. Seeger, Semiconductor Physics (Springer, Wien, New York, 1973), Chap. 11.
A. I. Anselm, Introduction to Semiconductor Theory (Prentice-Hall, Upper Saddle River, NJ, 1982).
B. K. Ridley, Quantum Processes in Semiconductors (Clarendon, Oxford, 1982).
M. O. Osipova and E. Yu. Perlin, J. Opt. Technol. 83, 648 (2016). https://doi.org/10.1364/JOT.83.000648
M. O. Zhukova and E. Yu. Perlin, J. Opt. Technol. 84, 651 (2017). https://doi.org/10.1364/JOT.84.000651
M. Yu. Leonov, A. O. Orlova, A. V. Baranov, A. V. Fedorov, I. D. Rukhlenko, and Yu. K. Gun’ko, J. Opt. Technol. 80, 648 (2013). https://doi.org/10.1364/JOT.80.000648
H. P. M. Pellemans and P. C. M. Planken, Phys. Rev. B 57, R4222 (1998). https://doi.org/10.1103/PhysRevB.57.R4222
H. Peelaers and C. G. van de Walle, Phys. Rev. B 100, 081202(R) (2019). https://doi.org/10.1103/PhysRevB.100.081202
V. L. Malevich and E. M. Epshtein, Sov. J. Quant. Electron. 4, 1816 (1974). https://doi.org/10.1070/QE1974v004n06ABEH009345
V. M. Fomin and E. P. Pokatilov, Phys. Status Solidi B 78, 831 (1976). https://doi.org/10.1002/pssb.2220780244
V. M. Fomin and E. P. Pokatilov, Phys. Status Solidi B 119, 483 (1983). https://doi.org/10.1002/pssb.2221190206
T. Apostolova, D. H. Huang, P. M. Alsing, J. McIver, and D. A. Cardimona, Phys. Rev. B 66, 075208 (2002). https://doi.org/10.1103/PhysRevB.66.0752
D. Huang, T. Apostolova, P. M. Alsing, and D. A. Cardimona, Phys. Rev. B 69, 075214 (2004). https://doi.org/10.1103/PhysRevB.69.075214
D. Huang, P. M. Alsing, T. Apostolova, and D. A. Cardimona, Phys. Rev. B 71, 045204 (2005). https://doi.org/10.1103/PhysRevB.71.045204
E. Yu. Perlin, M. A. Bondarev, and M. O. Zhukova, Opt. Spectrosc. 123, 578 (2017); Opt. Spectrosc. 123, 583 (2017).https://doi.org/10.1134/S0030400X17100186https://doi.org/10.1134/S0030400X17100174
S. H. Autler and C. H. Townes, Phys. Rev. 100, 703 (1955). https://doi.org/10.1103/PhysRev.100.703
Y. Yacoby, Phys. Rev. B 1, 1666 (1970). https://doi.org/10.1103/PhysRevB.1.1666
V. M. Galitskii, S. P. Goreslavskii, and V. F. Elesin, Sov. Phys. JETP 30, 117 (1970).
E. Yu. Perlin and V. A. Kovarskii, Sov. Phys. Solid State 12, 2512 (1970).
N. Tzoar and J. I. Gersten, Phys. Rev. B 12, 1132 (1975). https://doi.org/10.1103/PhysRevB.12.1132
E. Yu. Perlin, Sov. Phys. Solid State 15, 44 (1973).
Yu. I. Balkarei and E. M. Epshtein, Sov. Phys. Solid State 15, 641 (1973).
E. Yu. Perlin, Opt. Spectrosc. 41, 153 (1976).
D. Fröhlich, A. Nothe, and K. Reimann, Phys. Rev. Lett. 55, 1335 (1985). https://doi.org/10.1103/PhysRevLett.55.1335
A. von Lehmen, D. S. Chemla, J. P. Heritage, and J. E. Zucker, Opt. Lett. 11, 609 (1986). https://doi.org/10.1364/OL.11.000609
A. Mysyrowicz, D. Hulin, A. Antonetti, A. Migus, W. T. Masselink, and H. Morko, Phys. Rev. Lett. 56, 2748 (1986). https://doi.org/10.1103/PhysRevLett.56.2748
W. Schäfer, K. H. Schuldt, and R. Binder, Phys. Status Solidi B 150, 407 (1988). https://doi.org/10.1002/pssb.2221500209
W. H. Knox, D. S. Chemla, D. A. B. Miller, J. B. Stark, and S. Schmitt-Rink, Phys. Rev. Lett. 62, 1189 (1989). https://doi.org/10.1103/PhysRevLett.62.1189
D. S. Chemla, W. H. Knox, D. A. B. Miller, S. Schmitt-Rink, J. B. Stark, and R. Zimmermann, J. Lumin. 44, 233 (1989). https://doi.org/10.1016/0022-2313(89)90060-4
E. Yu. Perlin and A. V. Fedorov, Opt. Spectrosc. 78, 400 (1995).
E. Yu. Perlin and A. V. Fedorov, Phys. Solid State 37, 792 (1995).
E. Yu. Perlin, J. Exp. Theor. Phys. 78, 98 (1994).
E. Yu. Perlin, Opt. Spectrosc. 83, 243 (1997). https://doi.org/10.1134/1.1953976
T. Unold, K. Mueller, C. Lienau, T. Elsaesser, and A. D. Wieck, Phys. Rev. Lett. 92, 157401 (2004). https://doi.org/10.1103/PhysRevLett.92.157401
E. Yu. Perlin and D. I. Stasel’ko, Opt. Spectrosc. 98, 844 (2005). https://doi.org/10.1134/1.1953976
Y. Mizumoto, Y. Kayanuma, A. Srivastava, J. Kono, and A. H. Chin, Phys. Rev. B 74, 045216 (2006). https://doi.org/10.1103/PhysRevB.74.045216
A. V. Ivanov and E. Yu. Perlin, Opt. Spectrosc. 106, 677 (2009); Opt. Spectrosc. 106, 685 (2009).https://doi.org/10.1134/S0030400X09050105https://doi.org/10.1134/S0030400X09050099
M. A. Bondarev and E. Yu. Perlin, Opt. Spectrosc. 122, 561 (2017); Opt. Spectrosc. 122, 567 (2017). https://doi.org/10.1134/S0030400X17040075https://doi.org/10.1134/S0030400X17040063
S. Sim, D. Lee, M. Noh, S. Cha, C. H. Soh, J. H. Sung, M. H. Jo, and H. Choi, Nat. Commun. 7, 13569 (2016). https://doi.org/10.1038/ncomms13569
A. Ivanov, J. Opt. Soc. Am. B 35, 20 (2018). https://doi.org/10.1364/JOSAB.35.000020
C. K. Yong, J. Horng, Y. Shen, H. Cai, A. Wang, C. S. Yang, C. K. Lin, S. Zhao, K. Watanabe, T. Taniguchi, S. Tongay, and F. Wang, Nat. Phys. 14, 1092 (2018). https://doi.org/10.1038/s41567-018-0216-7
T. Lamountain, H. Bergeron, I. Balla, T. K. Stanev, M. C. Hersam, and N. P. Stern, Phys. Rev. B 97, 045307 (2018). https://doi.org/10.1103/PhysRevB.97.045307
P. D. Cunningham, A. T. Hanbicki, T. L. Reinecke, K. M. McCreary, and B. T. Jonker, Nat. Commun. 10, 5539 (2019). https://doi.org/10.1038/s41467-019-13501-x
U. Fano, Phys. Rev. 124, 1866 (1961). https://doi.org/10.1103/PhysRev.124.1866
V. M. Akulin and N. V. Karlov, Intense Resonant Interactions in Quantum Electronics (Springer, Berlin, 1992; Nauka, 1987), Lect. 9.
A. F. Linskens, I. Holleman, N. Dam, and J. Reuss, Phys. Rev. A 54, 4854 (1996). https://doi.org/10.1103/PhysRevA.54.4854
C. Kittel, Quantum Theory of Solids (Wiley, New York, 1987).
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Ed. by M. Abramovitz and I. A. Stegun, Vol. 55 of Appl. Math. Ser. (Natl. Bureau of Standards, Washington, DC, 1964).
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This work was performed under the state support from the leading universities of the Russian Federation (grant 08-08).
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Perlin, E.Y., Ivanov, A.V. & Popov, A.A. Absorption of Powerful Light by Free Electrons in Crystals: Intraband Electron–Phonon Rabi Oscillations. Opt. Spectrosc. 128, 1983–1992 (2020). https://doi.org/10.1134/S0030400X20121005
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DOI: https://doi.org/10.1134/S0030400X20121005