!"#$%#&'()$*+$&#'',#-*./&*.&$0-1./& 1'2+#"&3,"4$&(*/(,-&0(#.&56 78 &9:+% 7 ;#%,$&<1/#& =#$,-&>++,",-#01-&?-1@'A&B@#.0@%&C,#%&D+*,.+,&E*-,+01-#0,A&;>F>A&<*G@/#H#A& <)101&I5JK675LA&;#'#.&!"##$%"&$'"&(M&DN&ON&C@"#.1PA&QN&R(N&F$*-S,'1PA&&>N&DN&!*-1G(S1PA&TN&<#.41A& & UN&UN&V1$#.1PA&QN&U#S#%@-#A&DN&DN&C@"#.1PA&<N&<1.41& March 1, 2013, Institute for Laser Engineering, Osaka University
=#$,-&W--#4*#.+,& )*$&+,-'-&*++.+/0 12 +3456 1+ 7&$6$85+9:5&*$(*+ +(9:5*+/;<=+ X,#- G.A.Mourou, et. al, arxiv:1108.2116v1 [physics.optics] (2011) 2
!(,.1%,.#&Y1-&W&Z&56 78 &9:+% 7 5N! V#4*#21.&V,#+21.&! [*/(&!1H,-&?#%%#K\#$(& 7N! B@#.0@%&,",+0-14).#%*+$& ]BFE^&!!(101.K'(101.&$+#_,-*./&! `-,#21.&1Y&! "! #!&!"#$%#
Radiation Reaction Damping force Electron Radiation Electron Trajectory without radiation reaction Electromagnetic force Trajectory with radiation reaction Under Most Conditions very small correction W.&a"0-#K(*/(&*.0,.$*0)&"#$,-K'"#$%#&*.0,-#+21.&+#.&b,&>*&?+#$&@*+ >N&R(*4S1PA&,0N&#"N&&!V=&<<&]7667^&5cL667& DN&ON&C@"#.1PA&,0&#"NA&!"#$%#&!()$N&V,'N&20&]766d^&5JI&& ;N&<N&<1/#A&,0&#"NA&!1!&/1&]766L^&6J856I& 4
!#-#%,0,-$&Y1-&4#%'*./& a 0 > # rad -1/3 a 0 =e[(a µ ) 2 ] 1/2 /m e c%& =ee/m e c%! # rad =4$r e /3" 0 S. V. Bulanov, et. al. Plasma Phys. Rep. 30, 196 (2004)! e "1 recoil from photon emission! e =[(F µ' u µ ) 2 ] 1/2 /E s # 2! E 0 /E s =2! a 0 /a S E s =m e2 c 3 /e$ a S =" 0 /" C Example: " 0 =1 µm spot~2 µm 10-PW laser a 0 = 300 1. electron ~300 kev a 0 ~ # rad -1/3 2. electron ~300 MeV! e ~1 S. V. Bulanov et al., NIMA 660 (2011) 31
2 D Par2cle- in- cell simula2on with radia2on reac2on Landau- Lifshitz equa2on for radia2on reac2on du µ mc 2 ds = e c F µν u ν + 2e3 3mc 3 λ F µν u ν u λ e F µλ F mc 2 νλ (F νλ u λ )(F λκ u κ )u µ [ ] Laser : 10 PW, 30fs Target : Fully ionized carbon (ρ=2g/cc) Electron energy spectra 60 y [µm] with RR w/o RR x [µm] Ne 0 60 Electrons exceeding E>100 MeV decelerated via radia2on reac2on
#K-#)&\#$(&/,.,-#21.&b)&*.0,.$,&"#$,-$&P*#&-#4*#21.&-,#+21.&,i,+0$& =#$,-&M&56&!9A&86Y$& Q#-/,0&M&f@"")&*1.*G,4&+#-b1.&]"g7/:++^ Q,%'1-#"&(*$01-)&1Y&-#4*#21.&'1H,- >./@"#-&4*$0-*b@21.&1Y&-#4*#21.& 30fs '1"#-*G#21. "#$,-&#e*$ V#4*#21.&#$&$(1-0&#$&"#$,-&'@"$,& V#4*#21.&+1""*%#0,4&01H#-4$&"#$,-&#e*$N!1$0K'-1+,$$*./&/#%%#&\#$(&$',+0-@%&',#S&j&2+A*B+ 56&!9A&86Y$&"#$,-&'@"$,& *--#4*#2./&#&$1"*4.,H&h@#.0@%&b,#%&$1@-+, W.0,.$,&+1""*%#0,4&#K-#)&\#$(&8&!9A&86Y$ QNU#S#%@-#A&,0&#"NA&!()$N&V,PN&=,_N&56cA&5JL665&]7657^&
`1.P,-$*1.&,k+*,.+)&01&-#4*#21.&P$N&"#$,-&'1H,-& /C! B*&?+*D59*:'+Y1-&E./0+E3+ 1C! /+E3+l&F+G&Y1-&1'2%@%&+1.4*21.$ Photo-nuclear reactions, Electron-positron pair creation, Gamma laser pumping, Medicine, Radiation safety
!(101.K!(101.&$+#_,-*./&F&j&F BFE! B@#.0@%&,",+0-14).#%*+$M&'(101.$&$+#_,-&! D,,&BFE&b)&C,-,$0,0$S**A&=*Y$(*0GA&!*0#,P$S**&! <#-'"@$&#.4&U,@%#.A&!()$&V,P&c8&]5JL5^&mmI&! O*-0@#"&,",+0-1.K'1$*0-1.&'#*-$&]%,4*@%^& '#*-$&]%,4*@%^ e + e -
!(101.K!(101.&D+#_,-*./&`-1$$K$,+21., n, K &'#*-&'-14@+21.& +-1$$&$,+21. U10&+1%'@0,4&-,"*#b")&Y-1%& h@#-s&b1e,$&6nlkc&?,o& C,-.#-4A&U@+"N&!()$N&C&]!-1+N&D@''"N^&<1&]7666^&d8J&!O=>D&+1""#b1-#21.A&!VE&H<&]766c^&68766I& Fe',-*%,.0#"&b1@.4&j&7&o&56 m&& (*/(,-&0(#.&0(,1-) pb= 10-36 cm 2
D+#_,-*./&`-1$$&$,+21.! =1H&'(101.&,.,-/)&]$! %%&! ' (^&! D+#",$&#$&&I 0( &'1H,-&1Y&'(101.&,.,-/)&! >4P#.0#/,1@$&01&@$,&(*/(,-&'(101.&,.,-/*,$&! [1H&01&/,0&0(,-,p Ref: B. Tollis, Il Nuovo Cimento (1955-1965) 35, 1182 (1965)
V,\,+21.&b)&-,"#2P*$2+&%*--1-& A. Einstein, Ann. Phys. (Leipzig) 17, 891 (1905).
D1%,&Q)',$&1Y&V,"#2P*$2+&T*--1-$ (1) RFM!"#$%# (3) DSRM Breaking plasma wake wave (2) SFM Spherically breaking plasma wake wave!"#$%# Driver laser Spherically focusing Driver laser Thin foil (4) DSSM Spherically Shaped Thin foil /C!I*#$8>9(85+J#?9:@+69&&"&+KIJAL+MNO*&96*:'$##?+P*6":('&$'*P+!DN&ON&C@"#.1PA&,0&#"NA&!()$N&V,PN&=,_N&J5A&6cL665]7668^&!TN&<#.41A&,0&#"NA&!()$N&V,PN&=,_N&JJA&58L665&]766m^&!>N&DN&!*-1G(S1PA&,0&#"NA&!()$N&!"#$%#$A&5dA&57856I]766m^&!TN&<#.41A&,0&#"NA&!()$N&V,PN&=,_NA&568A&78L668]766J^&& 1C!QOR*&95$#+J#?9:@+69&&"&+KQJAL+!DN&DN&C@"#.1PA&,0N&#"A&!()$N&!"#$%#$&5JA&676m67&]7657^& 2C!7"-%#*S(9P*P+I*#$8>9(85+69&&"&+K7QIAL+!QNR(N&F$*-S,'1PA&,0N&#"A&&!()$N&V,PN&=,_N&568A&67L667&]766J^& TC!7"-%#*S(9P*P+QOR*&95$#+69&&"&+K7QQAL+!D@//,$0,4&b)&?N&T1@-1@&#.4&QN&Q#q*%#A&D+*,.+,&885A&d5]7655^r&;N&<N&<1/#A&!()$N&V,PN&>A&cIA&6L8c78&]7657^&
Stimulated Emission Configuration Spherical Flying Mirror 2x10 18 cm -3 3 lasers 1 mj 800 nm 20 fs 2x10 18 cm -3 Spherical Flying Mirror )*++,+- +./*01-2345- µ&?#$&;,0 Driver laser 0.7 PW 800 nm Driver laser 0.7 PW 800 nm?#$&;,0 )*++,+- +./*01-2345- µ& E!=19 kev $~3x10-40 cm 2 Focused Spot size 6 1 j% $ /4# 2 =74389 Source laser intensity on mirror 6.6x10 16 W/cm 2 (a s =0.175) spot size on mirror ~6.9 µm s UN&UN&V1$#.1PA&D1PN&!()$N&;FQ!&mIA&JJ5&]5JJ8^
D+#_,-,4&'(101.&.@%b,- Events: N~2.96 Ref: Koga et al., PRA 86, 053823 (2012) With Astra Gemini laser P 1 =P 2 =0.1PW P 3 =0.5 PW at 800 nm: Event rate=0.07 Lundin et al., PRA 74, 043821 (2006) Lundström et al., PRL 96, 083602 (2006)
!! A. R. Bell and J. G. Kirk, Possibility of Prolific Pair Production with High-Power Lasers Phys. Rev. Lett. 101, 200403 (2008)!! A. M. Fedotov, N. B. Narozhny, G. Mourou, G. Korn, Limitations on the Attainable Intensity of High Power Lasers Phys. Rev. Lett. 105, 080402 (2010)!! S.S.Bulanov, T. Zh.Esirkepov, A.Thomas, J.Koga, S.V.Bulanov, On the Schwinger limit attainability with extreme power lasers Phys. Rev. Lett. 105, 220407 (2010)!! E. N. Nerush, I. Yu. Kostyukov, A. M. Fedotov, N. B. Narozhny, N. V. Elkina, H. Ruhl, Laser Field Absorption in Self-Generated Electron-Positron Pair Plasma Phys. Rev. Lett. 106, 035001 (2011)!! N. V. Elkina, A. M. Fedotov, I. Yu. Kostyukov, M. V. Legkov, N. B. Narozhny, E. N. Nerush, H. Ruhl QED cascades induced by circularly polarized laser fields Phys. Rev. ST Accel. Beams 14, 054401 (2011)
Key Parameters (dimensionless Lorentz invariants) Laser dimensionless amplitude. characterizes the probability of photon emission by the electron; in the electron rest frame of reference: ( e ~ E/E S E S =1.3&10 16 V/cm characterizes the probability of the e!e+ pair creation due to a collision between the high energy photon and EM field. see S. V. Bulanov et al., NIMA 660 (2011) 31 and references cited therein
The number of absorbed laser photons: Photon mean-free-path before the pair creation: Favorable parameters for pair creation:! e "1 and!! "1. Size of the EM wave focus region should be! 220% 0 /a.!! H. Reiss, J. Math. Phys. 3, 59 (1962)!! A. I. Nikishov, and V. I. Ritus, Interaction of Electrons and Photons with a Very Strong Electromagnetic Field, Sov. Phys. Usp. 13, 303 (1970)!! V. I. Ritus, Quantum Effects of the Interaction of Elementary Particles with an Intense Electromagnetic Field, Tr. Fiz. Inst. Akad. Nauk SSSR 111, 5 (1979)!! K. T. McDonald, Fundamental Physics During Violent Acceleration, AIP Conf. Proceed. 130, 23 (1985)
Stanford Linear Accelerator Creation of e - e +! Plasma in Ultrarelativistic Electron Collision with EM Wave Conventional Accelerator + Laser electron beam 50 GeV a 0 = 0.3 Laser pulse 1.6ps D. L. Burke, et al., Phys. Rev. Lett. 79, 1627 (1997) Breit-Wheeler process G. Breit, J. A. Wheeler, Phys. Rev. 46, 1087 (1934) Multiphoton inverse Compton scattering Multiphoton Breit-Wheeler process E S =1.3&10 16 V/cm Key Parameters:
Creation of e - e +! Plasma in Ultrarelativistic Electron Collision with EM Wave Laser Wake Field Accelerator + Relativistic Flying Mirror Driver #1 Driver #2 Reflected pulse Wake wave Laser wavelength: 1µm LWFA driver: 1 PW electron energy = 1.25 GeV Key Parameters: Source pulse Reflected focus: Relativistic Flying Mirror (n e ' 4.5&10 19 cm 3 ) and, in multi-photon inverse Compton scattering regime, Electrons not expelled from focus by Ponderomotive force:
Conclusion Development of Super-intense Lasers"!Novel phenomena in fundamental physics!intense collimated #-ray flash!photon-photon scattering detection!properties of e - e +! Plasma!These are only a few examples!