Abstract
This chapter reviews the theoretical background necessary to understand the thesis, both its theoretical and experimental parts. In Sect. 2.1, Gaussian beams as a solution of the paraxial wave equation are introduced. Based on this, stable optical resonators and their eigenmodes are discussed in Sect. 2.2. The energy relations of passive optical resonators, so called enhancement cavities, in the steady-state follow in Sect. 2.3. As high powers play a central role in this thesis, thermal effects in laser optics are discussed in Sect. 2.4.1. The chapter closes with a summary of high-order harmonic generation in Sect. 2.5.
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References
A.E. Siegman, Lasers, 5th edn. (University Science Books, Mill Valley, 1986)
W.G. Nagourney, Quantum Electronics for Atomic Physics, Oxford Graduate Texts (Oxford University Press, Oxford, 2010)
H. Kogelnik, T. Li, Laser beams and resonators. Proc. IEEE 54, 1312–1329 (1966)
S. Gigan, L. Lopez, N. Treps, A. Maître, C. Fabre, Image transmission through a stable paraxial cavity. Phys. Rev. A 72, 23804 (2005)
A. Gerrard, J.M. Burch, Introduction to Matrix Methods in Optics, Wiley Series in Pure and Applied Optics (Wiley, London, 1975)
J.A. Arnaud, Degenerate optical cavities. Appl. Opt. 8, 189–195 (1969)
J.A. Arnaud, Degenerate optical cavities. II: effect of misalignments. Appl. Opt. 8, 1909–1917 (1969)
A.K. Mills, T.J. Hammond, M.H.C. Lam, D.J. Jones, XUV frequency combs via femtosecond enhancement cavities. J. Phys. B At. Mol. Opt. Phys. 45, 142001 (2012)
S. de Silvestri, P. Laporta, V. Magni, Rod thermal lensing effects in solid-state laser ring resonators. Opt. Commun. 65, 373–376 (1988)
I. Pupeza, T. Eidam, J. Rauschenberger, B. Bernhardt, A. Ozawa, E. Fill, A. Apolonski, T. Udem, J. Limpert, Z.A. Alahmed, A.M. Azzeer, A. Tünnermann, T.W. Hänsch, F. Krausz, Power scaling of a high-repetition-rate enhancement cavity. Opt. Lett. 35, 2052–2054 (2010)
H. Carstens, N. Lilienfein, S. Holzberger, C. Jocher, T. Eidam, J. Limpert, A. Tünnermann, J. Weitenberg, D.C. Yost, A. Alghamdi, Z. Alahmed, A. Azzeer, A. Apolonski, E. Fill, F. Krausz, I. Pupeza, Megawatt-scale average-power ultrashort pulses in an enhancement cavity. Opt. Lett. 39, 2595 (2014)
J.-Y. Vinet, Reducing thermal effects in mirrors of advanced gravitational wave interferometric detectors. Class. l Quantum Gravity 24, 3897–3910 (2007)
P. Hello, J.-Y. Vinet, Analytical models of thermal aberrations in massive mirrors heated by high power laser beams. Journal de Physique 51, 1267–1282 (1990)
P. Hello, J.-Y. Vinet, Analytical models of transient thermoelastic deformations of mirrors heated by high power CW laser beams. Journal de Physique 51, 2243–2261 (1990)
W. Winkler, K. Danzmann, A. Rüdiger, R. Schilling, Heating by optical absorption and the performance of interferometric gravitational-wave detectors. Phys. Rev. A 44, 7022–7036 (1991)
P.B. Corkum, Plasma perspective on strong field multiphoton ionization. Phys. Rev. Lett. 71, 1994 (1993)
M. Lewenstein, P. Balcou, M. Ivanov, A. L’Huillier, P. Corkum, Theory of high-harmonic generation by low-frequency laser fields. Phys. Rev. A 49, 2117–2132 (1994)
Perelomov, Popov, Terent’ev, Ionization of atoms in an alternating electric field. Soviet Phys. JETP 1966, 924–934 (1966)
M.V. Ammosov, N.B. Delone, V.P. Krainov, Tunnel ionization of complex atoms and of atomic ions in an alternating electromagnetic field. JETP 64, 1191 (1986)
E. Constant, D. Garzella, P. Breger, E. Mével, C. Dorrer, C. Le Blanc, F. Salin, P. Agostini, Optimizing high harmonic generation in absorbing gases: model and experiment. Phys. Rev. Lett. 82, 1668–1671 (1999)
T.K. Allison, A. Cingöz, D.C. Yost, J. Ye, Extreme nonlinear optics in a femtosecond enhancement cavity. Phys. Rev. Lett. 107, 183903 (2011)
D.R. Carlson, J. Lee, J. Mongelli, E.M. Wright, R.J. Jones, Intracavity ionization and pulse formation in femtosecond enhancement cavities. Opt. Lett. 36, 2991–2993 (2011)
S. Holzberger, N. Lilienfein, H. Carstens, T. Saule, M. Högner, F. Lücking, M. Trubetskov, V. Pervak, T. Eidam, J. Limpert, A. Tünnermann, E. Fill, F. Krausz, I. Pupeza, Femtosecond enhancement cavities in the nonlinear regime. Phys. Rev. Lett. 115, 023902 (2015)
A.-T. Le, T. Morishita, C.D. Lin, Improved Lewenstein model for high-order harmonic generation of atoms and molecules with scattering wave functions (2007), arXiv:0707.4192
T. Morishita, A.-T. Le, Z. Chen, C.D. Lin, Accurate retrieval of structural information from laser-induced photoelectron and high-order harmonic spectra by few-cycle laser pulses. Phys. Rev. Lett. 100, 013903 (2008)
S. Kazamias, S. Daboussi, O. Guilbaud, K. Cassou, D. Ros, B. Cros, G. Maynard, Pressure-induced phase matching in high-order harmonic generation. Phys. Rev. A 83, 063405 (2011)
C.M. Heyl, J. Güdde, A. L’Huillier, U. Höfer, High-order harmonic generation with \(\upmu \)J laser pulses at high repetition rates. J. Phys. B At. Mol. Opt. Phys. 45, 74020 (2012)
P. Salières, A. L’Huillier, M. Lewenstein, Coherence control of high- order harmonics. Phys. Rev. Lett. 74, 3776–3779 (1995)
M. Gaarde, F. Salin, E. Constant, P. Balcou, K. Schafer, K. Kulander, A. L’Huillier, Spatiotemporal separation of high harmonic radiation into two quantum path components. Phys. Rev. A 59, 1367–1373 (1999)
T. Popmintchev, M.-C. Chen, A. Bahabad, M. Gerrity, P. Sidorenko, O. Cohen, I.P. Christov, M.M. Murnane, H.C. Kapteyn, Phase matching of high harmonic generation in the soft and hard X-ray regions of the spectrum. Proc. Natl. Acad. Sci. USA 106, 10516–10521 (2009)
A. Paul, E.A. Gibson, X. Zhang, A. Lytle, T. Popmintchev, X. Zhou, M.M. Murnane, I.P. Christov, H.C. Kapteyn, Phase-matching techniques for coherent soft X-ray generation. IEEE J. Quantum Electron. 42, 14–26 (2006)
J. Rothhardt, M. Krebs, S. Hädrich, S. Demmler, J. Limpert, A. Tünnermann, Absorption-limited and phase-matched high harmonic generation in the tight focusing regime. New J. Phys. 16, 33022 (2014)
J. Rothhardt, S. Hädrich, A. Klenke, S. Demmler, A. Hoffmann, T. Gotschall, T. Eidam, M. Krebs, J. Limpert, A. Tünnermann, 53 W average power few-cycle fiber laser system generating soft x rays up to the water window. Opt. Lett. 39, 5224–5227 (2014)
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Carstens, H. (2018). Theoretical Background. In: Enhancement Cavities for the Generation of Extreme Ultraviolet and Hard X-Ray Radiation. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-94009-0_2
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