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Recent Advances in Magneto-Optics

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1 Recent Advances in Magneto-Optics
Katsuaki Sato Department of Applied Physics Tokyo University of Agriculture & Technology ICFM2001 Crimia October 1-5, 2001

2 CONTENTS Introduction Fundamentals of Magneto-Optics
Magneto-Optical Spectra Experiments and theory Recent Advances in Magneto-Optics Magneto-optics in nano-structures Nonlinear magneto-optical effect Scanning near-field magneto-optical microscope Current Status in Magneto-Optical Devices Magneto-optical disk storages Magneto-optical isolators for optical communication Other applications Summary ICFM2001 Crimia October 1-5, 2001

3 1. Introduction Magneto-Optical Effect:Discovered by Faraday on 1845
Phenomenon:Change of Linear Polarization to Elliptically Polarized Light Accompanied by Rotation of Principal Axis Cause:Difference of Optical Response between LCP and RCP Application: Magneto-Optical Disk Optical Isolator Current Sensors Observation Technique ICFM2001 Crimia October 1-5, 2001

4 2.Fundamentals of Magneto-Optics
MO Effect in Wide Meaning Any change of optical response induced by magnetization MO Effect in Narrow Meaning Change of intensity or polarization induced by magentization Faraday effect MOKE(Magneto-optical Kerr effect) Cotton-Mouton effect ICFM2001 Crimia October 1-5, 2001

5 2.1 Faraday Effect (a) Faraday Configuration: (b)Voigt Configuration:
Magnetization // Light Vector (b)Voigt Configuration: Magnetization  Light Vector ICFM2001 Crimia October 1-5, 2001

6 Faraday Effect MO effect for optical transmission
Magnetic rotation(Faraday rotation)F Magnetic Circular Dichroism(Faraday Ellipticity)F Comparison to Natural Optical Rotation Faraday Effect is Nonreciprocal (Double rotation for round trip) Natural rotation is Reciprocal (Zero for round trip) Verdet Constant F=VlH (For paramagnetic and diamagnetic materials) ICFM2001 Crimia October 1-5, 2001

7 Illustration of Faraday Effect
Rotation of Principal axis For linearly polarized light incidence,  Elliptically polarized light goes out (MCD) With the principal axis rotated (Magnetic rotation) Elliptically Polarized light Linearly polarized light ICFM2001 Crimia October 1-5, 2001

8 Faraday rotation of magnetic materials
(deg)  figure of merit(deg/dB) wavelength (nm) temperature (K) Mag. field (T) Fe 3.825・105 578 RT 2.4 Co 1.88・105 546 2 Ni 1.3・105 826 120 K 0.27 Y3Fe5O12 250 1150 100 K Gd2BiFe5O12 1.01・104 44 800 MnSb 2.8・105 500 MnBi 5.0・105 1.43 633 YFeO3 4.9・103 NdFeO3 4.72・104 CrBr3 1.5K EuO 5・105 104 660 4.2 K 2.08 CdCr2S4 3.8・103 35(80K) 1000 4K 0.6 ICFM2001 Crimia October 1-5, 2001

9 2.2 Magneto-Optical Kerr Effect
Three kinds of MO Kerr effects Polar Kerr(Magnetization is oriented perpendicular to the suraface) Longitudinal Kerr(Magnetization is in plane and is parallel to the plane of incidence) Transverse Kerr (Magnetization is in plane and is perpendicular to the plane of incidence) ICFM2001 Crimia October 1-5, 2001

10 Magneto-optical Kerr effect
Polar Longitudinal Transverse ICFM2001 Crimia October 1-5, 2001

11 MO Kerr rotation of magnetic materials
Photon energy temperature field (deg) (eV) (K) (T) Fe 0.87 0.75 RT Co 0.85 0.62 Ni 0.19 3.1 Gd 0.16 4.3 Fe3O4 0.32 1 MnBi 0.7 1.9 PtMnSb 2.0 1.75 1.7 CoS2 1.1 0.8 4.2 0.4 CrBr3 3.5 2.9 EuO 6 2.1 12 USb0.8Te0.2 9.0 10 4.0 CoCr2S4 4.5 80 a-GdCo * 0.3 CeSb 90 2 ICFM2001 Crimia October 1-5, 2001 * "a-" means "amorphous".

12 2.3 Electromagnetism and Magnetooptics
Light is the electromagnetic wave. Transmission of EM wave:Maxwell equation Medium is regareded as continuum→dielectric permeability tensor Effect of Magnetic field→mainly to off-diagonal element Eigenequation →Complex refractive index:two eigenvalues eigenfunctions:right and left circularpolarization Phase difference between RCP and LCP→rotation Amplitude difference →circular dichroism ICFM2001 Crimia October 1-5, 2001

13 Dielectric tensor Isotromic media;M//z
Invariant C4 for 90°rotation around z-axis ICFM2001 Crimia October 1-5, 2001

14 MO Equations (1) Maxwell Equation Eigenequation Eigenvalue
Eigenfunction:LCP and RCP Without off-diagonal terms:No difference between LCP & RCP No magnetooptical effect ICFM2001 Crimia October 1-5, 2001

15 MO Equations (2) Both diagonal and off-diagonal terms contribute to
Magneto-optical effect ICFM2001 Crimia October 1-5, 2001

16 Phenomenology of MO effect
Linearly polarized light can be decomposed to LCP and RCP Difference in phase causes rotation of the direction of Linear polarization Difference in amplitudes makes Elliptically polarized light In general, elliptically polarized light With the principal axis rotated ICFM2001 Crimia October 1-5, 2001

17 2.4 Electronic theory of Magneto-Optics
Magnetization→Splitting of spin-states No direct cause of difference of optical response between LCP and RCP Spin-orbit interaction→Splitting of orbital states Absorption of circular polarization→Induction of circular motion of electrons Condition for large magneto-optical response Presence of strong (allowed) transitions Involving elements with large spin-orbit interaction Not directly related with Magnetization ICFM2001 Crimia October 1-5, 2001

18 Dielectric functions derived from Kubo formula
where ICFM2001 Crimia October 1-5, 2001

19 Microscopic concepts of electronic polarization
= + + ・・ - Unperturbed wavefunction Wavefunction perturbed by electric field E S-like P-like Expansion by unperturbed orbitals ICFM2001 Crimia October 1-5, 2001

20 Orbital angular momentum-selection rules and circular dichroism
py-orbital px-orbital p+=px+ipy Lz=+1 Lz=-1 p-=px-ipy Lz=0 s-like ICFM2001 Crimia October 1-5, 2001

21 Role of Spin-Orbit Interaction
Jz=-3/2 Jz=-1/2 L=1 Jz=+1/2 LZ=+1,0,-1 Jz=+3/2 Jz=-1/2 L=0 Jz=+1/2 LZ=0 Exchange +spin-orbit Without magnetization Exchange splitting ICFM2001 Crimia October 1-5, 2001

22 MO lineshapes (1) 1.Diamagnetic lineshape Excited state Ground state
0 1 2 Without magnetization With Lz=0 Lz=+1 Lz=-1 1+2 Photon energy ’xy ”xy 1.Diamagnetic lineshape ICFM2001 Crimia October 1-5, 2001

23 MO lineshapes (2) 2.Paramagnetic lineshape
excited state ground state f+ f-  f=f+ - f- 0 without magnetic field with magnetic ’xy ”xy photon energy (a) (b) dielectric constant ICFM2001 Crimia October 1-5, 2001

24 3. Magneto-Optical Spectra
Measurement technique Magnetic garnets Metallic ferromagnet:Fe, Co, Ni Intermetallic compounds and alloys:PtMnSb etc. Magnetic semiconductor:CdMnTe etc. Superlattices:Pt/Co, Fe/Au etc. Amorphous:TbFeCo, GdFeCo etc. ICFM2001 Crimia October 1-5, 2001

25 Measurement of magneto-optical spectra using retardation modulation technique
j /4 P PEM A D quartz Isotropic medium B fused silica CaF2 Ge etc. Piezoelectric crystal amplitude position l Retardation =(2/)nl sin pt =0sin pt Light source chopper filter ellipsoidal mirror monochromator polarizer eletromagnet sample sample analyzer detector computer ICFM2001 Crimia October 1-5, 2001

26 Magnetic garnets One of the most intensively investigated magneto-optical materials Three different cation sites; octahedral, tetrahedral and dodecahedral sites Ferrimagnetic Large magneto-optical effect due to strong charge-transfer transition Enhancement of magneto-optical effect by Bi-substitution at the dodecahedral site ICFM2001 Crimia October 1-5, 2001

27 Electronic level diagram of Fe3+ in magnetic garnets
6S (6A1, 6A1g) 6P (6T2, 6T1g) without perturbation spin-orbit interaction tetrahedral crystal field (Td) octahedral (Oh) J=7/2 J=5/2 J=3/2 5/2 -3/2 - Jz= 3/2 7/2 5/2 -5/2 -3/2 -7/2 P+ P- ICFM2001 Crimia October 1-5, 2001

28 Experimental and calculated magneto-optical spectra of Y3Fe5O12
calculation Wavelength (nm) Faraday rotation (arb. unit) -2 +2 Faraday rotation (deg/cm) 0.4 x104 0.8 -0.4 ICFM2001 Crimia October 1-5, 2001

29 Electronic states and optical transitions of Co2+ and Co3+ in Y3Fe5O12
(b) ICFM2001 Crimia October 1-5, 2001

30 Theoretical and experimental magneto-optical spectra of Co-doped Y3Fe5O12
ICFM2001 Crimia October 1-5, 2001

31 Theoretical and experimental MO spectra of bcc Fe
Katayama Krinchik theory ICFM2001 Crimia October 1-5, 2001

32 MO spectra of PtMnSb Magneto-optical Kerr rotation θK
and ellipticity ηK Diagonal dielectric functions Off-diagonal Dielectric function (a) (b) (c) ICFM2001 Crimia October 1-5, 2001

33 (a) (b) (d) (c) Comparison of theoretical and experimental spectra of half-metallic PtMnSb After Oppeneer ICFM2001 Crimia October 1-5, 2001

34 Magneto-optical spectra of CdMnTe
Photon Energy (eV) Faraday rotation spectra (deg) ICFM2001 Crimia October 1-5, 2001

35 Pt/Co superlattices simulation experiment Photon energy (eV)
Kerr rotation and ellipticity(min) rotation elliptoicity PtCo alloy Pt(10)/Co(5) Pt(18)/Co(5) Pt(40)/Co(20) ICFM2001 Crimia October 1-5, 2001

36 MO spectra in RE-TM (1) ICFM2001 Crimia October 1-5, 2001
Wavelength (nm) Polar Kerr rotation (min) ICFM2001 Crimia October 1-5, 2001

37 MO spectra in R-Co Polar Kerr rotation (deg) Photon Energy (eV) -0.2
5 4 3 2 Photon Energy (eV) -0.2 -0.4 -0.6 Polar Kerr rotation (deg) Wavelength (nm) 300 400 500 600 700 ICFM2001 Crimia October 1-5, 2001

38 MO spectra of Fe/Au superlattice
ICFM2001 Crimia October 1-5, 2001

39 Calculated MO spectra of Fe/Au superlattice
By M.Yamaguchi et al. ICFM2001 Crimia October 1-5, 2001

40 Au/Fe/Au sandwich structure
By Y.Suzuki et al. ICFM2001 Crimia October 1-5, 2001

41 4. Recent Advances in Magneto-Optics
Nonlinear magneto-optics Scanning near-field magneto-optical microscope (MO-SNOM) X-ray magneto-optical Imaging ICFM2001 Crimia October 1-5, 2001

42 NOMOKE (Nonlinear magneto-optical Kerr effect)
Why SHG is sensitive to surfaces? Large nonlinear magneto-optical effect Experimental results on Fe/Au superlattice Theoretical analysis Future perspective ICFM2001 Crimia October 1-5, 2001

43 MSHG Measurement System
LD pump SHG laser lens Mirror Chopper Lens Analyzer Filter PMT Ti: sapphire laser polarizer Berek compensator Sample Stage controller Electromagnet Photon counter Computer l=532nm l=810nm Pulse=150fs P=600mW rep80MHz Photon counting ICFM2001 Crimia October 1-5, 2001

44 P-polarized or S-polarized light
Sample 試料回転 Sample stage w (810nm) Pole piece P-polarized or S-polarized light 45° Rotating analyzer w (810nm) Filter Analyzer Optical arrangements 2w (405nm) ICFM2001 Crimia October 1-5, 2001

45 Azimuthal dependence of
・ Linear optical response (=810nm)    The isotropic response for the azimuthal angle ・ Nonlinear optical response (=405nm)    The 4-fold symmetry pattern    Azimuthal pattern show 45-rotation by reversing the magnetic field MSHG linear 45 SHG intensity (counts/10sec.) SHG intensity (counts/10sec.) (a) Linear (810nm) (b) SHG (405nm) [Fe(3.75ML)/Au(3.75ML)] 超格子の (Pin Pout)配置の線形および非線形の方位角依存性 ICFM2001 Crimia October 1-5, 2001

46 Calculated and experimental patterns :x=3.5
Dots:exp. Solid curve:calc. APP=1310, B=26, C=-88 (a) Pin-Pout 103 SHG intensity (counts/10sec.) APS=-300, B=26, C=-88 (b) Pin-Sout 103 ASP=460, B=26, C=-88 (c) Sin-Pout 103 SHG intensity (counts/10sec.) ASS=100, B=26, C=-88 (d) Sin-Sout 103 ICFM2001 Crimia October 1-5, 2001

47 Nonlinear Kerr Effect S-polarized light ω(810nm) 2w (405nm) Analyzer 45° Electromagnet Rotating Filter Df = 31.1° The curves show a shift for two opposite directions of magnetic field Fe(1.75ML)/Au(1.75ML) Sin ICFM2001 Crimia October 1-5, 2001

48 Nonlinear Magneto-optical Microscope
Linear and nonlinear magneto-optical images of domains in CoNi film 50m Schematic diagram L P F1 Objective lens Sample F2 A CCD ICFM2001 Crimia October 1-5, 2001

49 MO-SNOM (Scanning near-field magneto-optical microscope)
Near-field optics Optical fiber probe Optical retardation modulation technique Stokes parameter of fiber probe Observation of recorded bits on MO disk ICFM2001 Crimia October 1-5, 2001

50 Near-field Medium 1 Evanescent wave ic Medium 2 Critical angle c
Propagating wave Evanescent field Scattered wave Critical angle c Medium 2 Medium 1 ic ic Evanescent wave Total reflection and near field Scattered wave by a small sphere placed in the evanescent field produced by another sphere ICFM2001 Crimia October 1-5, 2001

51 Levitation control methods
Sample surface Fiber probe Quartz oscillator Piezoelectrically- driven xyz-stage Piezoelectrically- driven  xyz-stage bimorph LD Photo diode Shear force type Canti-lever type ICFM2001 Crimia October 1-5, 2001

52 Collection mode(a) and illumination mode(b)
ICFM2001 Crimia October 1-5, 2001

53 MO-SNOM system using PEM
SNOM/AFM System Controller (SPI ) PEM Ar ion laser Signal generator Lock-in Amplifier Computer XYZ scanner Bimorph Filter Sample Photodiode Photomultiplier Optical fiber probe Analyzer Polarizer Compensator LD MO-SNOM system using PEM Bent fiber probe ICFM2001 Crimia October 1-5, 2001

54 Recorded marks on MO disk observed by MO-SNOM
topography MO image ICFM2001 Crimia October 1-5, 2001

55 MO-SNOM image of 0.2m recorded marks on Pt/Co MO disk
Resolution ↓ Topographic image MO image Line profile ICFM2001 Crimia October 1-5, 2001

56 Reflection type SNOM P. Fumagalli, A. Rosenberger, G. Eggers, A. Münnemann, N. Held, G. Güntherodt: Appl. Phys. Lett. 72, 2803 (1998) ICFM2001 Crimia October 1-5, 2001

57 XMCD (X-ray magnetic circular dichroism)
2p1/2 2p3/2 3d (12) (6) (2) (1) (3) (14) (a) (b) +1/2 -1/2 +3/2 -3/2 mj +2 +1 -1 -2 md Occupation of minority 3d band Simulated XMCD spectra corresponding to transitions (a) and (b) in the left diagram (a) (b) ICFM2001 Crimia October 1-5, 2001

58 Magnetic circular dichroism of L-edge
(b) ICFM2001 Crimia October 1-5, 2001

59 Domain image of MO media observed using XMCD of Fe L3-edge
SiN(70nm)/ TbFeCo(50nm)/SiN(20nm)/ Al(30nm)/SiN(20nm) MO 媒体   N. Takagi, H. Ishida, A. Yamaguchi, H. Noguchi, M. Kume, S. Tsunashima, M. Kumazawa, and P. Fischer: Digest Joint MORIS/APDSC2000, Nagoya, October 30-November 2, 2000, WeG-05, p.114. ICFM2001 Crimia October 1-5, 2001

60 Spin dynamics in nanoscale region
GaAs high speed optical switch Th. Gerrits, H. van den Berg, O. Gielkens, K.J. Veenstra and Th. Rasing: Digest Joint MORIS/APDSC2000, Nagoya, October 30-November 2, 2000, TuC-05, p.24. ICFM2001 Crimia October 1-5, 2001

61 Further Prospects -For wider range of researches-
Time (t):Ultra-short pulse→Spectroscopy using ps, fs-lasers, Pump-probe technique Frequency ():Broad band width, Synchrotron radiation Wavevector (k):Diffraction, scattering, magneto-optical diffraction Length (x):Observation of nanoscale magetism, Appertureless SNOM, Spin-polarized STM, Xray microscope Phase ():Sagnac interferrometer ICFM2001 Crimia October 1-5, 2001

62 5. Magneto-optical Application
Magneto-optical disk for high density storage Optical isolators for optical communication Other applications ICFM2001 Crimia October 1-5, 2001

63 Magneto-optical (MO) Recording
Recording:Thermomagnetic recording Magnetic recording using laser irradiation Reading out: Magneto-optical effect Magnetically induced polarization state MO disk, MD(Minidisk) High rewritability:more than 107 times Complex polarization optics New magnetic concepts: MSR, MAMMOS ICFM2001 Crimia October 1-5, 2001

64 History of MO recording
1962 Conger,Tomlinson Proposal for MO memory 1967 Mee Fan Proposal of beam-addressable MO recording 1971 Argard (Honeywel) MO disk using MnBi films 1972 Suits(IBM) MO disk using EuO films 1973 Chaudhari(IBM) Compensation point recording to a-GdCo film 1976 Sakurai(Osaka U) Curie point recording on a-TbFe films1980 Imamura(KDD) Code-file MO memory using a-TbFe films 1981 Togami(NHK) TV picture recording using a-GdCo MO disk Commercial appearance of 5”MO disk (650MB) Commercial appearance of 3.5 ”MO disk(128MB) 1991 Aratani(Sony) MSR 1992 Sony MD 1997 Sanyo ASMO(5” 6GB:L/G, MFM/MSR) standard 1998 Fujitsu GIGAMO(3.5” 1.3GB) 2000 Sanyo, Maxell iD-Photo(5cmφ730MB) ICFM2001 Crimia October 1-5, 2001

65 Structure of MO disk media
MO disk structure Polycarbonate substrate SiNx layer for protection and MO-enhancement Al reflection layer MO-recording layer (amorphous TbFeCo) Groove Land Resin ICFM2001 Crimia October 1-5, 2001

66 MO recording How to record(1)
Temperature increase by focused laser beam Magnetization is reduced when T exceeds Tc Record bits by external field when cooling M Tc Temp Tc Laser spot MO media Coil External field ICFM2001 Crimia October 1-5, 2001

67 MO recording How to record(2)
Use of compensation point writing Amorphous TbFeCo: Ferrimagnet with Tcomp HC takes maximum at Tcomp Stability of small recorded marks Hc M Tb FeCo Mtotal Fe,Co Tb Tcomp Tc T RT ICFM2001 Crimia October 1-5, 2001

68 アモルファスTbFeCo薄膜 TM (Fe,Co) R (Tb) ICFM2001 Crimia October 1-5, 2001

69 Two recording modes Light intensity modulation (LIM): present MO
Laser light is modulated by electrical signal Constant magnetic field Elliptical marks Magnetic field modulation (MFM):MD, ASMO Field modulation by electrical signal Constant laser intensity Crescent-shaped marks Modulated laser beam Constant Constant field Modulated field Magnetic head (a) LIM (b) MFM ICFM2001 Crimia October 1-5, 2001

70 Shape of Recorded Marks
(a) LIM (b) MFM ICFM2001 Crimia October 1-5, 2001

71 MO recording How to read
Magneto-optical conversion of magnetic signal to electric signal D1 + - LD D2 Differential detection Polarized Beam Splitter N S S N N S ICFM2001 Crimia October 1-5, 2001

72 Structure of MO Head ICFM2001 Crimia October 1-5, 2001 Bias field coil
Laser diode Photo-detector Focusing lens Half wave-plate lens Beam splitter PBS (polarizing beam splitter) Rotation of polarization Recorded marks Track pitch Bias field coil MO film mirror ICFM2001 Crimia October 1-5, 2001

73 Advances in MO recording
Super resolution MSR MAMMOS/DWDD Use of Blue Lasers Near field SIL Super-RENS (AgOx) ICFM2001 Crimia October 1-5, 2001

74 MSR (Magnetically induced super-resolution)
Resolution is determined by diffraction limit d=0.6λ/NA, where NA=n sin α Marks smaller than wavelength cannot be resolved Separation of recording and reading layers Light intensity distribution is utilized Magnetization is transferred only at the heated region α d ICFM2001 Crimia October 1-5, 2001

75 Illustration of 3 kinds of MSR
ICFM2001 Crimia October 1-5, 2001

76 AS-MO standard ICFM2001 Crimia October 1-5, 2001

77 iD-Photo specification
ICFM2001 Crimia October 1-5, 2001

78 MAMMOS (magnetic amplification MO system)
ICFM2001 Crimia October 1-5, 2001

79 Super-RENS super-resolution near-field system
AgOx film:decomposition and precipitation of Ag Scattering center→near field Ag plasmon→enhancement reversible Applicable to both phase-change and MO recording 高温スポット 近接場散乱 ICFM2001 Crimia October 1-5, 2001

80 To shorter wavelengths
DVD-ROM: Using 405nm laser, successful play back of marks was attained with track pitch =0.26m、mark length =213m (capacity 25GB) using NA=0.85 lens [i]。 [i] M. Katsumura, et al.: Digest ISOM2000, Sept. 5-9, 2000, Chitose, p. 18. DVD-RW: Using 405nm laser, read / write of recorded marks of track pitch=0.34m and mark length=0.29m in 35m two-layered disk(capacity:27GB) was succeeded using NA=0.65 lens, achieving 33Mbps transfer rate [ii] 。 [ii] T. Akiyama, M. Uno, H. Kitaura, K. Narumi, K. Nishiuchi and N. Yamada: Digest ISOM2000, Sept. 5-9, 2000, Chitose, p. 116. ICFM2001 Crimia October 1-5, 2001

81 Read/Write using Blue-violet LD and SIL (solid immersion lens)
NA=1.5 405nm 80nm mark 40GB SILhead 405nm LD I. Ichimura et. al. (Sony), ISOM2000 FrM01 ICFM2001 Crimia October 1-5, 2001

82 SIL (solid immersion lens)
ICFM2001 Crimia October 1-5, 2001

83 Optical recording using SIL
ICFM2001 Crimia October 1-5, 2001

84 Hybrid Recording 405nm LD Recording head (SIL) Readout MR head
Achieved 60Gbit/in2 H. Saga et al. Digest MORIS/APDSC2000, TuE-05, p.92. TbFeCo disk ICFM2001 Crimia October 1-5, 2001

85 Optical elements for fiber communication
Necessity of optical isolators Principles of optical isolators Structure of optical isolators Polarization-independent type Polarization-dependent type Optical multiplexing and needs of optical isolators ICFM2001 Crimia October 1-5, 2001

86 Optical circuit elements proposed by Dillon
(a) Rotator (b) Isolator (c) Circulator (d) Modulator (e) Latching switch ICFM2001 Crimia October 1-5, 2001

87 Optical isolator for Laser diode module
Optical isolator for LD module Optical fiber Signal source Laser diode module ICFM2001 Crimia October 1-5, 2001

88 Optical fiber amplifier and optical isolator
EDFA isolators mixer Pumping laser Band pass filter output input ICFM2001 Crimia October 1-5, 2001

89 Optical Circulator A B C D ICFM2001 Crimia October 1-5, 2001

90 Optical add-drop and circulator
Fiber grating ICFM2001 Crimia October 1-5, 2001

91 Polarization dependent isolator
polarizer analyzer mag.field Faraday rotator input reflected beam ICFM2001 Crimia October 1-5, 2001

92 Polarization independent isolator
Fiber 2 Fiber 1 Forward direction Reverse direction ½ waveplate C Birefringent plate B2 B2 B1 F C Birefringent plate B1 × Faraday rotator F ICFM2001 Crimia October 1-5, 2001

93 Magneto-optical circulator
Prism polarizer A Faraday rotator Prism polarizer B Half wave plate Port 1 Port 3 Port 2 Port 4 Reflection prism ICFM2001 Crimia October 1-5, 2001

94 Optical absorption in YIG
ICFM2001 Crimia October 1-5, 2001

95 Waveguide type isolators
ICFM2001 Crimia October 1-5, 2001

96 Mach-Zehnder type isolator
ICFM2001 Crimia October 1-5, 2001

97 Current-field sensor ICFM2001 Crimia October 1-5, 2001

98 Current sensors used by power engineers
Before installation After installation Magnetic core Hook Magneto-optical sensor head Fastening screw Optical fiber Fail-safe string Aerial wire ICFM2001 Crimia October 1-5, 2001

99 Field sensor using optical fibers
ICFM2001 Crimia October 1-5, 2001

100 SUMMARY Basic concepts of magneto-optics are described.
Macroscopic and microscopic origins of magneto-optics are described. Some of the recent development of magneto-optics are also given. Some of the recent application are summarized. ICFM2001 Crimia October 1-5, 2001


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