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3 d M d t = γ M H + α M d M d t M γ [ 1/ ( Oe sec) ] α γ γ = gµ B h g g µ B h / π γ g = γ = [ 7 1/ ( Oe sec) ] α α = λ γ λ λ λ α γ α α H α = γ H ω ω H α α H K K H K /

4 M 1 1 > 0 α 1 M > 0 γ α γ = g 1 µ B h γ = g µ B h g 1 g g g g 1 g g 1 = g 1 = 3/ =1.5 g γ α 1 α α 1 = λ 1 1 α = λ γ λ 1 λ λ 1 λ α 1 α α 1 = α = 0.1 α M 1 M d M 1 dt = M 1 H 1 + α 1 M M 1 d M 1 s1 d t d M d t = γ M H + α M M d M s dt H 1 M H M 1 M 1 M M 1 m M 1 = 1 m M = m

5 1 dm dt = 1 m H 1 + α 1 1 m dm dt dm d t = γ m H +α m d m dt γ 1 dm dt = 1 m H 1 + α 1 1 m d m d t γ dm dt = m H + α γ m d m d t 1 γ dm d t ( ) + α 1 1 = m 1 H 1 H + α γ m d m dt 1 1 γ M M = ( 1 )m = 1 d M d t = γ M H + M d M dt γ = M 1 s 1 γ H = 1 H 1 H 1 = α α γ γ

6 H H m H m M M H m = 0 γ 1 γ g 1 = g = = γ = γ γ = γ γ = λ 1 + λ γ 1 γ = γ = γ = γ λ 1 + λ 1 ( ) λ = λ 1 + λ = λ γ = 0 H H H 1

7 d M d t = γ M H + α M d M d t t = 0 H z φ = ω t + φ 0 θ = arctan tan θ 0 exp t τ ω = γ H 1 + α τ = 1 α ω = 1 +α α 1 γ H φ 0 θ 0 ω z τ α α 0 τ τ d dα α 1 +α = 1 1 +α 1 +α ( ) αα ( ) = 1 α ( 1 +α ) α = 1 α α H = 00[ Oe] α = τ = 1 +α α 1 γ H = 1+ α α * 0.8 [ nsec ]

8 α = 0.1 α = 1 α = 10 τ =.9[ nsec] τ = 0.56[ nsec] τ =.9[ nsec] 0.3[ nsec] α = 0.1 α = 1 α = 10 18[ nsec] 3.6[ nsec] 18[ nsec] α = 0.1 α = 10 α = 1 α = 0.1

9 α = 1 α = 10

10 H t = 0 50[ Å] 300[ Å] 3[ m / sec =1/ 10 / 100 / =1/

11 =1/ =10 / =10 / =100 / =100 / =10 / =10 / V

12 V = γ A K H 1+ π K H 1 1 π α 1/ H > π A K H H = π H = π λ γ 0 = A K V = γ α 0 H 1+ π K H 1 1 π α 1/ 0 A K A / K 0 K >> π M s V = γ α 0 H K >> π M s µ w = γ α 0 V = µ w H µ w V = γ λ 0 H

13 V H V σ d H H = 1 σ d x V = γ σ d λ 0 x = 0 v = h = V π γ 0 H π v h h = 1 v = h h > 1 K >> π M s v 1 v = α 1 +α h + h + 1 h 1 K >> π M s h = 1 v =1

14 1 v = 1 +α α +1 ( ) =1 h = 1 h >> 1/ α v = 1 +α h h h < 1 h > 1 h > 1 v 1 h v v = V / π γ 0 h = H / π V = α π γ 0 1+ H α = π 1 + H π V = 1 +α γ H 0 d d ( ) 1 + α = ( ) = 1 ( 1 + ) =1 V = α γ = γ 0

15 0 V = 0 1 +α α = 1 +α γ H α 0 1 γ H = τ τ h > 1 h >> 1/ h > 1 h >> 1/ V H =1 V = 30[ emu/cm 3 ]γ = [ 7 1/ ( Oe sec) ] 0 = 00[ Å] = [ cm] V H 1 1 +α 1 +α 1 1 +α α V = λ 0 H V 1/ 1 1 +α α 1 +α 1

16 V = γ λ 0 H V =1 H H H V H H V 0 1/ K H K K K a V V = 1+ π 1 Λ γ α a α 0 H Λ Λ = A π M s a a = π Λ V = 1 +α γ H 0

17 a V V VBL V VBL = π Q V ( Q = K / π ) K = erg cm 3 = 30 emu cm 3 = 0.33 V VBL = 14 V V VBL V 14 V V = γ α 0 H H = 4 π cosh 1 A t H = 4 A t

18 V = 4 π cosh 1 γ A t K V = 4 γ A t K t A = 10-7 erg cm = 0.33 t = 300[ Å] = [ cm] H = 1.[ koe] H = 1 σ d x = 00 [ Oe ] γ = Oe sec = = 00[ Å] = [ cm] cm µ w = 350 sec Oe µ w 500,000[ cm/ ( sec Oe) ]

19 µ w [ cm/ ( sec Oe) ] µ w = 350[ cm/ ( sec Oe) ] = 100 emu cm 3 = 100[ emu/cm 3 ] = 0.1 = 100[ emu/cm 3 ] = 0.1 λ γ =10 emu cm 3 λ 1,, 3 [ 108 1/sec] λ γ =10 emu cm 3 = 100[ emu/cm 3 ] = 0.1 = 30 emu cm 3 = 0.33

20 H = 63[ Oe] H = 1 σ d x = 00 [ Oe ] H = ( 1/ ) σ d / x 1/ ( ) σ d / x H w H = π 31.5[ Å] 3[ m / sec [ µm] [ µm] H w ( 1/ ) σ d / x ( 1/ ) σ d / x H w = λ γ = 1, 3, 10, 30, 100 π 1/ π =100 / ( 1/ ) σ d / x π H w = 0

21 h 1/ =1/ h > 1 h >> 1/ V = 1 +α γ H 0 =1 V < 1 > 1 V < 1 H V α = 0.1 H V =1/ =1/

22 = 3/ h > 1 h >> 1/ V H V = 3/ = 3/ =10 / h > 1 h >> 1/ =1 V α = 1 =1 H

23 =10 / =10 / = 30 / h > 1 h >> 1/ =1 =1 H

24 = 30 / = 30 / =100 / h > 1 >> 1 >> V α = 10

25 =100 / =100 / V 1/ /( 1 + ) 1/ V H H 1/ ( ) σ d / x V V =10 / = 3/ = 30 / H w H w 0.5 1[ n sec]

26 τ a τ e τ τ = τ a τ e τ a = 16[ nsec]τ e = 10[ nsec] τ = 1.5 nsec [ ] 350[ nm

27 8[ m / sec] 1.5[ m / sec] 0.85 [ µm] 500[ nm] 40[ m / sec γ λ 1 λ γ γ K >> π M s h = 1 h > 1 h >> 1/ V H =1 V h >> 1/

28 H H H V H H V λ γ =10 emu cm 3 h > 1 h >> 1/ V = 1 +α γ H 0 =1 H V γ 0 = λ γ H = 1 σ d x H =1 H =1 H = λ / γ =10 / 3[ m / sec] 50[ m / = 3/

29 = 30 / 1.5[ m / sec] 8[ m / sec] H w H w

64 3 g=9.85 m/s 2 g=9.791 m/s 2 36, km ( ) 1 () 2 () m/s : : a) b) kg/m kg/m k

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