E B m e ( ) γma = F = e E + v B a m = 0.5MeV γ = E e m =957 E e GeV v β = v SPring-8 γ β γ E e [GeV] [ ] NewSUBARU SPring

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うたろうごみぶち
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1 SPring-8 PF( ) ( ) UVSOR( HiSOR( SPring

2 E B m e ( ) γma = F = e E + v B a m = 0.5MeV γ = E e m =957 E e GeV v β = v SPring-8 γ β γ E e [GeV] [ ] NewSUBARU SPring GeV GeV ev % 957 observer time emitter time retarded time t r R R t t t = t + R t dt = n β = β osθ d t γ +γ θ β = γ γ θ osθ θ Δt Δt ( dt d t )Δ Δ t t ( ) ( ) n = R R t R

999999869 SPring-8 8.0 5656 0.999999998 GeV GeV ev 0 9 99.

3 θ 0 Δt ~ Δ t γ Δt ω ~ Δt ~ γ 3 ρ ρ Φ A R v Φ = e 4πε 0 R, A = 4πε 0 R( n β) ev 4πε 0 R Lienard-Wiehrt Φ( t) = e ret, A( t) = e 4πε 0 v R( n β) ret (retarded time) Maxwell A E = Φ µ 0 t B = µ 0 A ret () () ( ) E( t) = e n β 4πε 0 R γ n β ( ) 3 e n ( n β) β +, 4πε 0 ret R ( n β) ret ( ) = n E( t) B t (3).. β = β = 0 E t ( ) = en 4πε 0 R 3. β R 4. β R ( ) µ 0 S = E B S R dω = ( R S n) = µ 0 RE (4) dp( t) 3

() ( ) E( t) = e n β 4πε 0 R γ n β ( ) 3 e n ( n β) β +, 4πε 0 ret R ( n β) ret ( ) = n E( t) B t (3).

4 E t dp ( t ) dω = dp( t) dω dt d t = dp dω n β (3)-(5) θ, dp ( t ) dω = e 6π ε 0 β β φ : : dp ( t ) n β β // ( ) (5) β, n {( n β) β } dω = e β 6π ε 0 dp ( t ) dω = e β 6π ε 0 β ( ) 5 (6) β sin θ β osθ β β ( ) 5 (7) ( β osθ) - - β ( )sin θ os φ β osθ ( ) 5 (8) β β β β θ << ( β osθ) / θ sr θ sr = β = γ γ β = 0.95 β γ β = 0.95 β β β (a) β β (b) β β 4

5 E ( ω) = π E( t)e iωt dt (9) - dw dω = ( ) dω dp t dt = µ 0 ( RE) dt = µ 0 d W dωdω = πµ 0 ( RE)e iωt dt R E ( ω ) dω (0) d W dωdω = = e 6π 3 ε 0 e 6π 3 ε 0 n {( n β) β } ( n β) 5 e iωt dt ret n {( n β) β } ( n β) 5 e ret iω t + R ( t ) β β d W dωdω = e 6π 3 ε 0 γ ω ω ( ) 3 /, ξ = ω + γ ψ ω (3) γ ω d t β β ( + γ ψ ) K / 3 ξ ψ (3) ω ω = 3 γ 3 ρ ( ) + γ ψ 3 () () + γ ψ K / 3( ξ) (3) 0. ω/ω =0.0 (4) 5

n β) β } ( n β) 5 e ret iω t + R ( t ) β β d W dωdω = e 6π 3 ε 0 γ ω ω ( ) 3 /, ξ = ω + γ ψ ω (3) γ

6 ω ω = 0.0, 0.,, 3 P = e β 4 γ 4 3 4πε 0 ρ P U 0 = β ds = e β 3 γ 4 3 4πε 0 E [ ] 4 [ GeV ] = ρ[ m] U 0 ev ds ρ = e β 3 γ 4 3ε 0 ρ (5) = E 3 [ GeV ]B[ T] (6) P b = U 0N e T 0 P b = 8.3kW = U 0I b e I b T 0 N e ρ=3.m, I b =0.3A U 0 = 7.7keV, E =.0GeV, (3) dω dω d P dωdω = d W I b dωdω e, h, I b (7) d F dωdω /ω = d P dωdω h = h π, h: (8) d F dωdω /ω = E [ GeV ]I b A [ ] ω ω ( + γ ψ ) K / 3 ξ + γ ψ K / 3( ξ) ( ) + γ ψ (9) photons/se/0.%bandwidth 6

7 ( ) ( Flux density) = Flux πσ x Σ y (0) photon flux density photons/se/mrad/0.%bandwidth ( Flux density) ( Brilliame) = () πσ x Σ y Brilliane, Brightness photons/se/mrad/mm/0.%bandwidth Σ x = σ x + σ p Σ y = σ y + σ p x, y Σ x = σ x + σ p Σ y = σ y + σ p x, y σ p.0gev.5gev Photons/se/0.%bw/mrad σ x, σ x.0 GeV ev 00 ev kev 0keV 00keV Photon Energy.5 GeV SPring-8 SPring-8 Linear aelerator Lina 40m.0GeV 3m 6 SPring-8 7

%bandwidth Σ x = σ x + σ p Σ y = σ y + σ p x, y Σ x = σ x + σ p Σ y = σ y + σ p x, y σ p.0gev.

8 [] Classial Eletrodynamis, J.D.Jakson,, JOHN WILEY & SONS. [] [3] [4] [5] Aelerator Physis, S.Y. Lee, WorldSientifi [6] Synhrotron Radiation Soures, H.Winik, World Sientifi [7] Partile Aelerator Physis, H.Wiedemann, Springer-Verlag [8] The Physis of Synhrotron Radiation, A.Hofmann, Cambridge Univ. Press 8

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