1. 1 1 Office of Science Strong Field Electrodynamics of Thin Foils S. S. Bulanov Lawrence Berkeley National Laboratory, Berkeley, CA We acknowledge support from the Office of Science of the US DOE under Contract No. DE-AC02- 05CH11231. Advanced Accelerator Concepts Workshop (AAC 2016), July 31 – August 5, National Harbor, MD

2. 2 2 Office of Science In Collaboration with 2 ATAP Division, LBNL E. Esarey C. B. Schroeder W. P. Leemans Pisa University F. Pegoraro Kansai Photon Science Institute, JAEA T. Zh. Esirkepov M. Kando S. V. Bulanov S. Rykovanov

3. 3 3 Office of Science The Ion Acceleration Mechanism is Determined by Laser Intensity and Target Surface Density Applications: Radiography, Deflectometry, Cancer Therapy, Injection into conventional accelerators, Fast Ignition, Isochoric heating of matter, Positron Emission Tomography, Nuclear Physics… TNSA Laser: Low Intensity Target: Thick solid density foils Ion Energy: ~100 MeV RPA & CE Laser: High Intensity Target: Thin solid density foils Ion Energy: hundreds of MeV MVA Laser: High Intensity Target: Near Critical Density slab Ion Energy: hundreds of MeV to GeV S. S. Bulanov, et al., Physics of Plasmas 23, 056703 (2016); Ion Energy ~ Laser Power 2/3 Ion Energy ~ Laser Power Ion Energy ~ Laser Power 1/2

4. 4 4 Office of Science Advanced Acceleration Mechanisms are needed to generate ion beams with energies needed for applications TNSA Laser: Low Intensity Target: Thick solid density foils Ion Energy: ~100 MeV RPA & CE Laser: High Intensity Target: Thin solid density foils Ion Energy: hundreds of MeV MVA Laser: High Intensity Target: Near Critical Density slab Ion Energy: hundreds of MeV to GeV S. S. Bulanov, et al., Physics of Plasmas 23, 056703 (2016);

5. 5 5 Office of Science Radiation Pressure Acceleration (receding relativistic mirror) -Co-propagation configuration -EM wave “pushes” relativistic mirror -“Receding mirror”: ions are accelerated by radiation pressure T. Esirkepov, et al., Phys. Rev. Lett. 92, 175003 (2004)

6. 6 6 Office of Science Strong Field Electrodynamics of a thin foil: Equations in 1D Electron layer Ion layer Normalized area charge density S. Bulanov et al., PoP (2013)

7. 7 7 Office of Science The Electric and Magnetic Field Expressions Describe the EM Wave Emitted by the Thin Layer (1D Electric Charge) S. Bulanov et al., PoP (2013)

8. 8 8 Office of Science The EM Fields at the Layer and Acting on the Layer S. Bulanov et al., PoP (2013)

9. 9 9 Office of Science The Rate of Radiative Energy Loss Depends Only on the Momentum Component Along the Layer S. Bulanov et al., PoP (2013)

10. 10 Office of Science The Radiation Losses Lead to a Finite Acceleration of the Layer 4532145321 S. Bulanov et al., PoP (2013)

11. 11 Office of Science The 1D Electrodynamics of Thin Foils Can be Used to Study Different Phenomena in Laser-Thin Foil Interactions -Relativistic Oscillating Mirrors -Flying Relativistic Mirrors -Ion Acceleration in the RPA regime

12. 12 Office of Science Relativistic Oscillating Mirror and Relativistic Flying Mirror in 1D Electrodynamics Momentum and coordinate Reflected pulses S. Bulanov et al., PoP (2013)

13. 13 Office of Science Ion Acceleration in Radiation Pressure Acceleration Regime Reveals Complex Dynamics of electrons and ions

14. 14 Office of Science 1D Electrodynamics for Chirped Standing Wave Acceleration of Ions F. Mackenroth, A. Gonoskov, and M. Marklund, PRL 2016 chirped not chirped

15. 15 Office of Science Conclusions -The theory of the interaction of relativistically strong EM fields with foil targets is formulated, based on the thin layer model of the one-dimensional electrodynamics of charged particles. -Within this framework, the generation of high order harmonics in the relativistic regime occurs through the electromagnetic wave reflection, or collective backward scattering. - The theory can be used for the characterization of laser driven ion acceleration of thin foils in different regimes

16. 16 Office of Science Thank you!