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3 ε = ε xx ε xx ε xx (.1 ) z z 1 z ε = ε xx ε x y 0 - ε x y ε xx ε zz (. ) 3 xy ) ε xx, ε zz» ε x y (.3 ) ε ij = ε ij ^ (.4 ) 6) xx, xy ε xx = ε xx + i ε xx ε xy = ε xy + i ε xy (.5 ) (.6 )
4 (.4 ), (.5 ) (.6 ) ε xx = 0, ε xy = 0 (.7 ) xx xy xx '' xy ' ε xx «ε xx (.8 ) α = π λ ε xx ε xx (.9 ) 5) c : t : : n ± : E ± = E x ± = 1 1 e iω n ± z - t c ± ±i E y (.10 ) ε n ± = ε xx ± i ε xy ε xx ± i xy ε xx (.11 ) 7) x E E
5 E = E+ -E - (.1 ). (a) ( E + ) ( E - ) z (.11 ) ( n +, n - ) F l θ F = ω l c n + - n - (.13 ) F (.11 ) E +, E - n +, n - F - 1 -
6 θ F = - ω l c Real n + - n - = - ω l c Real i ε xy ε xx (.14 ) c l Real. (b) E F. (c) E ± F χ F = - Tan -1 tan h ω l c Im (n + - n - ) = - Tan -1 tan h ( ω l c Im i ε xy ε xx ) (.15 ) Im «1 χ F - ω l c Im i ε xy ε xx (.16 ) (.14 ) (.16 ) θ F + i χ F - ω l c i ε xy ε xx (.17 )
7 M M (. ) ε = ε xx M ε x y M 0 - ε x y M ε xx M ε zz M (.18 ) Q ε xy M = - i Q M z (.19 ) M z M z 5) (.17 ) (.19 ) θ F + i χ F V l M z (.0 ) V (Verdet) (.0 )
8 .3 a b h ( b - a ) h ab h ab Γ ab << ω ab (.1 ) a b ii ( ) 5, 8, 9) ε xx (ω) = 1+ 4πNe m ε xy (ω) = πne m Σ a,b β a f ab x ω ab - ω a,b + Γ ab + i ωγab (. ) β a (f ab + -f ab - ) ω ab iω +Γ ab ω ab - ω + Γ ab + i ωγab (.3 ) m e N a a T k
9 β a exp - h ω a kt (.4 ) f x ab, f + ab, f - ab a, b ϕ a, ϕ b f ab x = mω ab h ϕ a * xϕ b dv (.5 ) f ab ± = mω ab h ϕ a * ( x ± iy)ϕ b dv (.6 ) 5) f x ab, f + ab, f - ab (. ) xx f x ab xy (.3 ) f + - ab - f ab f + - ab f ab.. f + ab f - ab 5).4 (a) ( )
10 a 1, a, a n β a1 = 1, β a = β a3 = = 0 (.7 ) a 1 b 1 b f + a1b = f, f - a1b = 0 a 1 b (.7 ) (. ), (.3 ) ε xx = 1 + 4πNe m f ω 0 - ω + Γ ω 0 - ω + Γ + 4Γ ω ε xx = 4πNe m f - ωγ ω 0 - ω + Γ + 4Γ ω ε xy = πne mω 0 ε xy = - πne mω 0 f f Γ ω + ω 0 + Γ ω 0 - ω + Γ + 4Γ ω ω ω + ω 0 + Γ ω 0 - ω + Γ + 4Γ ω (.8 ) (.9 ) (.30 ) (.31 ) (.8 ) (.31 )
11 5) ).4 (b) b 1, b a 1 b 1 a 1 b f a1b1 + = f, f a1b1 - = 0 f a1b + = 0, f a1b - = f (.3 ) h SO SO << Γ = Γ a1b1 = Γ a1b (.33 ) (.3 )
12 f a1b1 + - f a1b1 - = - f a1b + - f a1b - = f (.34 ) xy ' xy " (.30 ), (.31 ) 0 0 ± SO SO ε xy = 4πNe mω 0 ε xy = πne mω 0 f SO f SO Γ ω - ω 0 ω - ω 0 - Γ + 4Γ ω - ω0 (.35 ) ω - ω 0 - Γ ω - ω 0 - Γ + 4Γ ω - ω0 (.36 ).6 xx ', xx "
13 (I) (II) (.14 ), (.16 ) (.9 ).7 5) - 0 -
14 Ia3d.8 1/8 M 3M O 3 5Fe O 3 Fe 3+ 16a ( 6 ) 4d ( 4 ) M 3+ 4c ( 8 ) 96h 3Y O 3 5Fe O 3 (Y 3 Fe 5 O 1 ) 1) 1969 Buhrer BiCa Fe 4 VO 1 14) Bi Bi 8 8 Bi 15 - Bi 3 Fe 5 O 1 18).9 Bi-YIG 18) - 1 -
15 Bi.10 Bi-YIG 19) Bi.11 F ( F,.37 ) 3) F = θ F α (.37 ) Bi-YIG ( RT ) Bi-YIG Bi-YIG Bi Bi 1) YIG O - p 6 Fe 3+ 3d - -
16 ) Bi Bi 3+ 6p O - p ) - 3 -
17 .1 ( a ) ( b ) (.1 ( a ) ) - 4 -
18 .1 ( b ) ).13 3) ( Rotator ).13 ( a ) ( b )
19 Bi 4) 5) 5) 6) - 6 -
20 H 5, 8) P 0 F 45 P P = P 0 e -αl sin 45 + θf - sin 45 (.38 ) F P P 0 e -αl θ F (.39 ) 5) m LED - 7 -
21 ( MO ).15 5) 7).16 8) 9-33) - 8 -
22 34) - 9 -
23 35).17 36) H 37).18 36)
24 - 31 -
25 1) pp.1-4 (1988). ) 3 (1988). 3) (1990). 4) (1995). 5) Vol.57(9), pp (1988). 6) pp.41 (1968). 7) 9, 10 (1968). 8) J. C. Suits, IEEE Trans. Magn., MAG-8, pp (197). 9) F. J. Kahn, P. S. Pershan and J. P. Remeika, Phys. Rev., 186, pp.891 (1969). 10) Vol.9(5), pp (1985). 11) Vol.8(5), pp (1984). 1) S. Geller, H. J. Williams, R. C. Sehrwood and G. P. Espinosa, J. Appl. Phys., 35(6), pp (1964). 13) pp.7-76 (1988). 14) C. F. Buhrer, J. Appl. Phys., Vol.40(11), pp (1969). 15) T. Okuda, T. Katayama, H. Kobayashi, N. Kobayashi, K. Satoh and H. Yamamoto, J. Appl. Phys., Vol.67(9), pp (1990). 16) S. Mino, A. Tate and A. Shibukawa, Proceedings of the 6th International Conference on Ferrites, Tokyo and Kyoto, pp (199). 17) E. Komuro, T. Namikawa and Y. Yamazaki, J. Jpn. Soc. Powder Powder Met., 18) M. Gomi, K. Satoh and M. Abe, Proceedings of the 5th International Confarence of Ferrites, pp.919- (1989). 19) P. Hansen and J. -P. Krumme, Thin Solid Films, 114, pp (1984). 0) 38 pp.7-11 (1985). 1) Vol.48(3), pp (1979). ) Vol.6(5), pp (198). 3) pp.4 (1989). 4) Vol.7(10), pp.13-0 (1987). 5) 38 pp.87-9 (1985). 6) 38 pp (1985). 7) Vol.14(), pp (1985). 8)
26 pp (1985). 9) T. Fujimoto, Y. Kumura, M. Gomi and M. Abe, J. Magn. Soc. Jpn., Vol.15(Sppl. S1), pp (1991). 30) T. Fujimoto, Y. Kumura, M. Gomi and M. Abe, J. Magn. Soc. Jpn., Vol.15(Sppl. S1), pp.67- (1991). 31) K. Nakagawa and A. Itoh, J. Magn. Soc. Jpn., Vol.17(Sppl. S1), pp.78- (1993). 3) 73 pp.1-6 (199). 33) Vol.64(3), pp (1995). 34) 64(3), pp (1995). 35) pp.13 (1988). 36) B. Hill and K. P. Schmidt, Philips J. Res., Vol.33(5/6), pp.11-5 (1978). 37) Vol.11(11), pp (199)
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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 = 1.76 10 [ 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 / M 1 1 > 0 α 1 M > 0 γ α γ =
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More informationNMRの信号がはじめて観測されてから47年になる。その後、NMRは1960年前半までPhys. Rev.等の物理学誌上を賑わせた。1960年代後半、物理学者の間では”NMRはもう死んだ”とささやかれたということであるが(1)、しかし、これほど発展した構造、物性の
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More information講義ノート 物性研究 電子版 Vol.3 No.1, (2013 年 T c µ T c Kammerlingh Onnes 77K ρ 5.8µΩcm 4.2K ρ 10 4 µωcm σ 77K ρ 4.2K σ σ = ne 2 τ/m τ 77K
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More informationω 0 m(ẍ + γẋ + ω0x) 2 = ee (2.118) e iωt x = e 1 m ω0 2 E(ω). (2.119) ω2 iωγ Z N P(ω) = χ(ω)e = exzn (2.120) ϵ = ϵ 0 (1 + χ) ϵ(ω) ϵ 0 = 1 +
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More informationA (1) = 4 A( 1, 4) 1 A 4 () = tan A(0, 0) π A π
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More informationm(ẍ + γẋ + ω 0 x) = ee (2.118) e iωt P(ω) = χ(ω)e = ex = e2 E(ω) m ω0 2 ω2 iωγ (2.119) Z N ϵ(ω) ϵ 0 = 1 + Ne2 m j f j ω 2 j ω2 iωγ j (2.120)
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