Transient EUV Reflectivity Measurements of Carbon upon Ultrafast Laser Heating

Time resolved extreme ultraviolet (EUV) transient reflectivity measurements on non-equilibrium amorphous carbon (a-C) have been carried out by combining optical and free electron laser (FEL) sources. The EUV probing was specifically sensitive to lattice dynamics, since the EUV reflectivity is essentially unaffected by the photo-excited surface plasma. Data have been interpreted in terms of the dynamics of an expanding surface, i.e., a density gradient rapidly forming along the normal surface. This allowed us to determine the characteristic time ( τ ≲ 1 ps) for hydrodynamic expansion in photo-excited a-C. This finding suggests an extremely narrow time window during which the system can be assumed to be in the isochoric regime, a situation that may complicate the study of photo-induced metastable phases of carbon. Data also showed a weak dependence on the probing EUV wavelength, which was used to estimate the electronic temperature ( T e ≈ 0.8 eV) of the excited sample. This experimental finding compares fairly well with the results of calculations, while a comparison of our data and calculations with previous transient optical reflectivity measurements highlights the complementarities between optical and EUV probing.

[1]  J. Chalupský,et al.  Damage of amorphous carbon induced by soft x-ray femtosecond pulses above and below the critical angle , 2009 .

[2]  L. Ram-Mohan,et al.  Electron–phonon coupling and associated scattering rates in diamond , 2015 .

[3]  P. Verburg,et al.  Two-temperature model for pulsed-laser-induced subsurface modifications in Si , 2014 .

[4]  Downer,et al.  Optical properties of liquid carbon measured by femtosecond spectroscopy. , 1992, Physical review. B, Condensed matter.

[5]  Adriano Filipponi,et al.  EIS: the scattering beamline at FERMI. , 2015, Journal of Synchrotron Radiation.

[6]  Y. Kamakura,et al.  Monte Carlo simulations of electron transport properties of diamond in high electric fields using full band structure , 2004 .

[7]  J. Chalupský,et al.  Creation and diagnosis of a solid-density plasma with an X-ray free-electron laser , 2012, Nature.

[8]  Margaret M Murnane,et al.  Ultrafast extreme ultraviolet holography: dynamic monitoring of surface deformation. , 2007, Optics letters.

[9]  G. Richmond,et al.  Time-resolved measurement of free carrier absorption, diffusivity, and internal quantum efficiency in silicon , 2013 .

[10]  A.T.D. Butland,et al.  The specific heat of graphite: An evaluation of measurements , 1973 .

[11]  M. Kuwata-Gonokami,et al.  Formation of a high T(c) electron-hole liquid in diamond. , 2002, Physical review letters.

[12]  A. Savvatimskiy,et al.  Measurements of the melting point of graphite and the properties of liquid carbon (a review for 1963–2003) , 2005 .

[13]  Car,et al.  Ab initio calculation of properties of carbon in the amorphous and liquid states. , 1990, Physical review. B, Condensed matter.

[14]  Pablo G. Debenedetti,et al.  Relationship between structural order and the anomalies of liquid water , 2001, Nature.

[15]  William B. White,et al.  Laser phase errors in seeded free electron lasers , 2012 .

[16]  R. More Pressure Ionization, Resonances, and the Continuity of Bound and Free States , 1985 .

[17]  Schäfer,et al.  Absorption of femtosecond laser pulses in high-density plasma. , 1990, Physical review letters.

[18]  H. Stanley,et al.  The relationship between liquid, supercooled and glassy water , 1998, Nature.

[19]  Richard R. Freeman,et al.  Light absorption in ultrashort scale length plasmas , 1989 .

[20]  F. Bundy Melting of Graphite at Very High Pressure , 1963 .

[21]  A. Ramer,et al.  Laser damage in silicon: Energy absorption, relaxation, and transport , 2014, 1401.5663.

[22]  S. P. Gill,et al.  Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena , 2002 .

[23]  E. Pedersoli,et al.  Towards jitter-free pump-probe measurements at seeded free electron laser facilities. , 2014, Optics express.

[24]  William A. Barletta,et al.  Highly coherent and stable pulses from the FERMI seeded free-electron laser in the extreme ultraviolet , 2012, Nature Photonics.

[25]  M. Togaya Pressure Dependences of the Melting Temperature of Graphite and the Electrical Resistivity of Liquid Carbon , 1997 .

[26]  Giulio Gaio,et al.  Two-stage seeded soft-X-ray free-electron laser , 2013, Nature Photonics.

[27]  N. Baydogan,et al.  Evaluation of optical properties of the amorphous carbon film on fused silica , 2004 .

[28]  J. K. Chen,et al.  A semiclassical two-temperature model for ultrafast laser heating , 2006 .

[29]  S. Johnson,et al.  Structural and magnetic dynamics of a laser induced phase transition in FeRh. , 2011, Physical review letters.

[30]  Tommaso Vinci,et al.  Progress in the study of warm dense matter , 2005 .

[31]  S. R. Silva,et al.  Properties of Amorphous Carbon , 2003 .

[32]  K. Nelson,et al.  Extended two-temperature model for ultrafast thermal response of band gap materials upon impulsive optical excitation. , 2015, The Journal of chemical physics.

[33]  S. Rokhlin,et al.  Ultrafast laser melting of Au nanoparticles: atomistic simulations , 2011 .