Quantitative Observation of Magnetic Field Distributions by Magneto-Optical Microscopy

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Quantitative Observation of Magnetic Field Distributions by Magneto-Optical Microscopy Takayuki ISHIBASHI Magnetic imaging utilizing magneto-optical MO e ect is a promising technique to visualize magnetic field distributions. Quantitative measurement of magnetic field distributions is realized by combining MO imaging technique with MO indicator films. In this paper, we introduce a quantitative MO imaging using a polarization modulation technique, and experimental results on magnetic field and current distributions of MgB 2 superconducting films. In addition, we describe about high-performance MO indicator films using Bi-substituted yttrium iron garnet films prepared by metal-organic decomposition method. Key words: magneto-optical e ect, magnetic image, magneto-optical imaging, bi-substituted iron garnet, indicator film 1 1. SQUID EuO EuS 1 940 2188 1603 1 E-mail: t_bashi@mst.nagaokaut.ac.jp 13 13

F F H H k H 1 EuO EuS 66.8 K 16.9 K 200 2 3 4 5 2 q F k M k M 3 H 3 l V q F Hl 3.2 10 4 /Oe cm 589.1 nm 100 /Oe cm H k 2 I q F q P q A I I 0 cos 2 q P q A q F 1 q P q A 90 90 90 V F H l 3 2 14 14

5 6 4 4 TiN x 4 1 5 1 6 N S 2. Joose z 7 8 H z x, y Ix, y I x, y H k tan 1 1 arcsin arcsin cm s I x, y α 0 2 I x, y I 1 x, y I 0 x, y Da Ms c I 1 x, y Da I 0 x, y c Joose 8 4 9 6 15 15

6 I RCP I LP I LCP q h ILP IRCL ILCP 2 θ 2 I I RCL LCP 3 1 I η 2 I RCL RCL I I LCP LCP 4 Joose 6 ITO ZLI-4792 LED 45 RCP LPLCP 3 I RCP, I LP, I LCP q h q h 3 50 ms 0.5 s 10 100 7 16 16 7 50 mm Bi ab cda b c d 8 50 mm Bi 9 Y 2 BiFe 4 GaO 12 50 mm 7 a, b 7 c, d

9 Bi a b 10 500 mm MgB 2 a b 8 9 9 9 1 3. 10 3. 1 Bi x 1.0 800 nm Y 2 BiFe 4 GaO 12 10 a 500 mm MgB 2 MgB 2 MgB 2 10 b 735 Oe 3. 2 17 17

11 MgB 2 x-y z H z 1 H z 4π y y J x x J x r r J x, J y x y 11 11 10 b 6 10 7 A/cm 2 4. 5 Bi Bi 1 mm Bi 12 13 1 mm Bi MOD 6 14 Bi MOD 100 30 450 30 490 750 1 4 18 18 3 y dx dy 4 12 13 200 nm Y 0.5 Bi 2.5 Fe 5 O 12 a 4 mm b 1.16 mm 3000 rpm 30 200 800 nm Y 3 x Bi x Fe 5 O 12 x 1.0, 1.5, 2.0, 2.5, 3.0 Gd 3 Ga 5 O 12 100 x 1.0 3.0 12 15 16 400 nm 500 550 nm 3.0 525 nm 2.4 10 5 degree/cm a 4 mm b 1.16 mm 13 Bi x 2.5 200 nm

0.6 mm 1 T. H. Johansen and D. V. Ahantsev: Magneto-Optical Imaging Kluwer Academic Publishers, 2003 pp. 1 10. 2 S. Gotoh, N. Koshizuka, M. Yoshida, M. Murakami and S. Tanaka: Direct observation of flux behavior in high-tc oxide superconductors using the Faraday e ect of iron garnet films, Jpn. J. Appl. Phys., 29 1990 L1083 L1085. 3 M. V. Indenbom, N. N. Kolesnikov, M. P. Kulakov, I. G. Naumenko, V. I. Nikitenko, A. A. Polyanskii, N. F. Vershinin and V. K. Vlasko-Vlasov: Direct study of magnetic flux penetration and trapping in HTSC, Physica C, 166 1990 486 496. 4 L. A. Dorosinskii, M. V. Indenbom, V. I. Nikitenko, Y. A. Ossip yan, A. A. Polyanskii and V. K. Vlasko-Vlasov: Studies of HTSC crystal magnetization features using indicator magnetooptic films with in-plane anisotropy, Physica C, 203 1992 149 156. 5 P. E. Goa, H. Hauglin, Å. A. F. Olsen, M. Baziljevich and T. H. Johansen: Magneto-optical imaging setup for single vortex observation, Rev. Sci. Instr., 74 2003 141 146. 6 Y 3 X Bi X Fe 5 O 12 J. Magn. Soc. Jpn., 35 2011 194 198. 7 Ch. Joose, A. Forkl, R. Wrthmann, H.-U. Hbermeier, B. Leibold and H. Kronmüller: Thickness and roughness dependence of magnetic flux penetration and critical current densities in YBa 2 Cu 3 0 7 d thin films, Physica C, 266 1996 235 252. 8 Ch. Joose, J. Albrecht, H. Kuhn, S. Leonhardt and H. Kronmüller: Magneto-optical studies of current distributions in high-tc superconductors, Rep. Prog. Phys., 65 2002 651 788. 9 T. Ishibashi, Z. Kuang, S. Yufune, T. Kawata, M. Oda, T. Tani, Y. Iimura and K. Sato: Magneto-optical imaging using polarization modulation method, J. Appl. Phys., 100 2006 093903. 10 T. Ishibashi, T. Kawata, A. Tsukada, H. Shibata, M. Naito and K. Sato: Magneto-optical observation of magnetic flux in patterned MgB 2 films, Physica C, 468 2008 1313 1315. 11 Ch. Jooss, R. Warthmann, A. Forkl and H. Kronmüller: Highresolution magneto-optical imaging of critical currents in YBa 2 Cu 3 O 7 d thin films, Physica C, 299 1998 215 230. 12 K. Iida, N. Kawamae, S. Hoshi, T. Machi, T. Kono, J. Y. Kato, N. Chikumoto, N. Koshizuka, N. Adachi and T. Okuda: Liquid phase epitaxial growth of Bi,Lu 3 Fe,Ga 5 O 12 films with inplane anisotropy for magneto-optical imaging, Jpn. J. Appl. Phys., 44 2005 1734 1739. 13 L. E. Helseth, A. G. Solovyev, R. W. Hansen, E. I. Il yashenko, M. Baziljevich and T. H. Johansen: Faraday rotation and sensitivity of 100 bismuth-substituted ferrite garnet films, Phys. Rev. B, 66 2002 064405. 14 T. Ishibashi, A. Mizusama, M. Nagai, S. Shimizu, K. Sato, N. Togashi, T. Mogi, M. Houchido, H. Sano and K. Kuriyama: Characterization of epitaxial Y,Bi 3 Fe,Ga 5 O 12 thin films grown by metal-organic decomposition method, J. Appl. Phys., 97 2005 013516. 15 T. Okuda, T. Katayama, H. Kobayashi, N. Kobayashi: K. Satho and H. Yamamoto: Magnetic properties of Bi 3 Fe 5 O 12 garnet, J. Appl. Phys., 67 1990 4944 4946. 16 S. Wittekoek, T. J. A. Popma, J. M. Robertson and P. F. Bongers: Magneto-optic spectra and the dielectric tensor elements of bismuth-substituted iron garnets at photon energies between 2.2 5.2 ev, Phys. Rev. B, 12 1975 2777 2788. 2012 8 10 19 19