Abstract

Magnetic linear birefringence and dichroism are investigated for the paramagnetic terbium gallium garnet (TGG) single crystal in the temperature range 8–100 K. The reciprocal nature is confirmed for the linear birefringence. Furthermore a theoretical model is validated that describes the intermixing of linear and circular birefringence. The ellipticity and rotation of the polarization ellipse are investigated in the light of these measurements. These otherwise minuscule magnetically induced effects are amplified at cryogenic temperatures and are determined by a phase-sensitive technique based on the Fourier decomposition of detected signal intensities. The correspondent measurements also allow us to determine the Curie-Weiss constant corroborating the presence of a magnetically frustrated spin system. Additionally we show how the Voigt geometry enables determining the direction of a magnetic field.

© 2017 Optical Society of America

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References

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    [Crossref]
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    [Crossref]
  24. O. Slezák, R. Yasahura, A. Lucianetti, and T. Mocek, “Temperature-wavelength dependence of terbium gallium garnet ceramics Verdet constant,” Opt. Mater. Exp. 6(11), 3683–3691 (2016).
    [Crossref]
  25. A. R. Taussig, G. F. Dionne, and C. A. Ross, “Dependence of Faraday rotation and magneto-optical figure of merit on dielectric tensor elements in materials with uniaxial symmetry”, Phys. Rev. B 77, 012407 (2008).
    [Crossref]
  26. V. Saidl, P. Nemec, P. Wadley, V. Hills, R. P. Campion, V. Novak, K. W. Edmonds, F. Maccherozzi, S. S. Dhesi, B. L. Gallagher, F. Trojanek, J. Kunes, J. Zelezny, P. Maly, and T. Jungwirth, “Optical determination of the Néel vector in a CuMnAs thin-film antiferromagnet,” Nat. Photonics 11(2), 91–96 (2016).
    [Crossref]

2017 (1)

N. Kostylev, M. Goryachev, P. Bushev, and M. E. Tobar, “Electromagnetic properties of terbium gallium garnet at millikelvin temperatures and low photon energy,” Appl. Phys. Lett. 111, 052402 (2017).
[Crossref]

2016 (4)

O. Slezák, R. Yasahura, A. Lucianetti, and T. Mocek, “Temperature-wavelength dependence of terbium gallium garnet ceramics Verdet constant,” Opt. Mater. Exp. 6(11), 3683–3691 (2016).
[Crossref]

M. A. Arranz and J. M. Colino, “Magnetooptical Voigt effect in rippled polycrystalline Co films,” J. Phys. D: Appl. Phys. 49, 405306 (2016).
[Crossref]

X. Fan, A. R. Mellnik, W. Wang, N. Reynolds, T. Wang, H. Celik, V. O. Lorenz, D. C. Ralph, and J. Q. Xiao, “All optical vector measurement of spin-orbit-induced torques using both polar and quadratic magneto-optic Kerr effects,” Appl. Phys. Lett. 109, 122406 (2016).
[Crossref]

V. Saidl, P. Nemec, P. Wadley, V. Hills, R. P. Campion, V. Novak, K. W. Edmonds, F. Maccherozzi, S. S. Dhesi, B. L. Gallagher, F. Trojanek, J. Kunes, J. Zelezny, P. Maly, and T. Jungwirth, “Optical determination of the Néel vector in a CuMnAs thin-film antiferromagnet,” Nat. Photonics 11(2), 91–96 (2016).
[Crossref]

2015 (2)

A. Shaheen, H. Majeed, and M. S. Anwar, “Ultralarge magneto-optical rotations and rotary dispersion in the terbium gallium garnet single crystal,” Appl. Opt. 52, 5549–5554 (2015).
[Crossref]

J. McCord, “Progress in magnetic domain observation by advanced magneto-optical microscopy,” J. Phys. D: Appl. Phys. 48, 333001 (2015).
[Crossref]

2014 (1)

D. Steil, O. Schmitt, R. Fetzer, T. Kubota, H. Naganuma, M. Oogane, Y. Ando, A. K. Suszka, O. Idigoras, G. Wolf, B. Hillebrands, A. Berger, M. Aeschlimann, and M. Cinchetti, “Ultrafast magnetization dynamics in Co-based Heusler compounds with tuned chemical ordering,” New. J. Phys. 16, 063068 (2014).
[Crossref]

2013 (5)

F. D. Valle, A. Ejlli, U. Gastaldi, G. Messineo, E. Milotti, R. Pengo, L. Piemontese, G. Ruoso, and G. Zavattini, “Measurement of the Cotton Mouton effect of water vapor,” Chem. Phys. Lett,  592, 288–291 (2013).
[Crossref]

U. Löw, S. A. Zvyagin, M. Ozerov, U. Schaufuss, V. Kataev, B. Wolf, and B. Lüthi, “Magnetization, magnetic susceptibility and ESR in Tb3Ga5O12,” Eur. Phys. J. B 86(3), 87 (2013).
[Crossref]

R. V. Mikhaylovskiy, E. Hendry, F. Y. Ogrin, and V. V. Kruglyak, “Low-temperature time-domain terahertz spectroscopy of terbium gallium garnet crystals,” Phys. Rev. B 87, 094414 (2013).
[Crossref]

H. Majeed, A. Shaheen, and M. S. Anwar, “Complete Stokes polarimetry of magneto-optical Faraday effect in a terbium gallium garnet crystal at cryogenic temperatures,” Opt. Express 21, 25148–25158 (2013).
[Crossref] [PubMed]

R. Yasuhara, H. Nozawa, T. Yanagitani, S. Motokoshi, and J. Kawanaka, “Temperature dependence of thermo-optic effects of single-crystal and ceramic TGG,” Opt. Express 21, 31443–31452 (2013).
[Crossref]

2012 (1)

R. V. Mikhaylovskiy, E. Hendry, and V. V. Kruglyak, “Ultrafast inverse Faraday effect in a paramagnetic terbium gallium garnet crystal,” Phys. Rev. B 86, 100405 (2012).
[Crossref]

2008 (1)

A. R. Taussig, G. F. Dionne, and C. A. Ross, “Dependence of Faraday rotation and magneto-optical figure of merit on dielectric tensor elements in materials with uniaxial symmetry”, Phys. Rev. B 77, 012407 (2008).
[Crossref]

2007 (1)

R. Yasuhara, S. Tokita, J. Kawanaka, T. Kawashima, H. Kan, H. Yagi, H. Nozawa, T. Yanagitani, Y. Fujimoto, H. Yoshida, and M. Nakatsuka, “Measurement of magnet0-optical property and thermal conductivity on TGG ceramic for Faraday material of high-peak and high average power laser,” Rev. Laser Eng. 35(12), 806–810 (2007).
[Crossref]

2005 (2)

C. Strohm, G. L. J. A. Rikken, and P. Wyder, “Phenomenological evidence for the phonon Hall effect,” Phys. Rev. Lett. 95, 155901 (2005).
[Crossref] [PubMed]

A. V. Kimel, G. V. Astakhov, A. Kirilyuk, G. M. Schott, G. Karczewski, W. Ossau, G. Schmidt, L. W. Molenkamp, and Th. Rasing, “Observation of giant magnetic linear dichroism in (Ga, Mn)As,” Phys. Rev. Lett. 94, 227203 (2005).
[Crossref]

1991 (1)

K. Cho, S.P. Bush, D.L. Mazzoni, and C.C. Davis, “Magnetic linear birefringence of Faraday materials,” Phys. Rev. B 43(1), 965–971 (1991).
[Crossref]

1990 (1)

N. P. Kolmakova, R. Z. Levitin, A. I. Popov, N. F. Vedernikov, A. K. Zvezdin, and V. Nekvasil, “Magnetic linear birefringence in rare-earth garnets Crystal-field effects and the Judd-Ofelt approximation,” Phys Rev. B 41, 6170 (1990).
[Crossref]

1987 (1)

N. F. Vedernikov, A. K. Zvezdin, R. Z. Levitin, and A. I. Popov, “Magnetic linear birefringence of rare earth garnets,” Sov. Phys. JETP 66(6), 1233–1242 (1987).

1977 (1)

Aeschlimann, M.

D. Steil, O. Schmitt, R. Fetzer, T. Kubota, H. Naganuma, M. Oogane, Y. Ando, A. K. Suszka, O. Idigoras, G. Wolf, B. Hillebrands, A. Berger, M. Aeschlimann, and M. Cinchetti, “Ultrafast magnetization dynamics in Co-based Heusler compounds with tuned chemical ordering,” New. J. Phys. 16, 063068 (2014).
[Crossref]

Ando, Y.

D. Steil, O. Schmitt, R. Fetzer, T. Kubota, H. Naganuma, M. Oogane, Y. Ando, A. K. Suszka, O. Idigoras, G. Wolf, B. Hillebrands, A. Berger, M. Aeschlimann, and M. Cinchetti, “Ultrafast magnetization dynamics in Co-based Heusler compounds with tuned chemical ordering,” New. J. Phys. 16, 063068 (2014).
[Crossref]

Anwar, M. S.

A. Shaheen, H. Majeed, and M. S. Anwar, “Ultralarge magneto-optical rotations and rotary dispersion in the terbium gallium garnet single crystal,” Appl. Opt. 52, 5549–5554 (2015).
[Crossref]

H. Majeed, A. Shaheen, and M. S. Anwar, “Complete Stokes polarimetry of magneto-optical Faraday effect in a terbium gallium garnet crystal at cryogenic temperatures,” Opt. Express 21, 25148–25158 (2013).
[Crossref] [PubMed]

Arranz, M. A.

M. A. Arranz and J. M. Colino, “Magnetooptical Voigt effect in rippled polycrystalline Co films,” J. Phys. D: Appl. Phys. 49, 405306 (2016).
[Crossref]

Astakhov, G. V.

A. V. Kimel, G. V. Astakhov, A. Kirilyuk, G. M. Schott, G. Karczewski, W. Ossau, G. Schmidt, L. W. Molenkamp, and Th. Rasing, “Observation of giant magnetic linear dichroism in (Ga, Mn)As,” Phys. Rev. Lett. 94, 227203 (2005).
[Crossref]

Berger, A.

D. Steil, O. Schmitt, R. Fetzer, T. Kubota, H. Naganuma, M. Oogane, Y. Ando, A. K. Suszka, O. Idigoras, G. Wolf, B. Hillebrands, A. Berger, M. Aeschlimann, and M. Cinchetti, “Ultrafast magnetization dynamics in Co-based Heusler compounds with tuned chemical ordering,” New. J. Phys. 16, 063068 (2014).
[Crossref]

Berry, H. G.

Bush, S.P.

K. Cho, S.P. Bush, D.L. Mazzoni, and C.C. Davis, “Magnetic linear birefringence of Faraday materials,” Phys. Rev. B 43(1), 965–971 (1991).
[Crossref]

Bushev, P.

N. Kostylev, M. Goryachev, P. Bushev, and M. E. Tobar, “Electromagnetic properties of terbium gallium garnet at millikelvin temperatures and low photon energy,” Appl. Phys. Lett. 111, 052402 (2017).
[Crossref]

Campion, R. P.

V. Saidl, P. Nemec, P. Wadley, V. Hills, R. P. Campion, V. Novak, K. W. Edmonds, F. Maccherozzi, S. S. Dhesi, B. L. Gallagher, F. Trojanek, J. Kunes, J. Zelezny, P. Maly, and T. Jungwirth, “Optical determination of the Néel vector in a CuMnAs thin-film antiferromagnet,” Nat. Photonics 11(2), 91–96 (2016).
[Crossref]

Celik, H.

X. Fan, A. R. Mellnik, W. Wang, N. Reynolds, T. Wang, H. Celik, V. O. Lorenz, D. C. Ralph, and J. Q. Xiao, “All optical vector measurement of spin-orbit-induced torques using both polar and quadratic magneto-optic Kerr effects,” Appl. Phys. Lett. 109, 122406 (2016).
[Crossref]

Cho, K.

K. Cho, S.P. Bush, D.L. Mazzoni, and C.C. Davis, “Magnetic linear birefringence of Faraday materials,” Phys. Rev. B 43(1), 965–971 (1991).
[Crossref]

Cinchetti, M.

D. Steil, O. Schmitt, R. Fetzer, T. Kubota, H. Naganuma, M. Oogane, Y. Ando, A. K. Suszka, O. Idigoras, G. Wolf, B. Hillebrands, A. Berger, M. Aeschlimann, and M. Cinchetti, “Ultrafast magnetization dynamics in Co-based Heusler compounds with tuned chemical ordering,” New. J. Phys. 16, 063068 (2014).
[Crossref]

Clarke, D.

D. Clarke and J. F. Grainger, “The description of polarized light,” in Polarized light and Optical Measurement, 1st ed. (Pergamon Press Ltd., Germany, 1971), pp. 1–41.

Colino, J. M.

M. A. Arranz and J. M. Colino, “Magnetooptical Voigt effect in rippled polycrystalline Co films,” J. Phys. D: Appl. Phys. 49, 405306 (2016).
[Crossref]

Davis, C.C.

K. Cho, S.P. Bush, D.L. Mazzoni, and C.C. Davis, “Magnetic linear birefringence of Faraday materials,” Phys. Rev. B 43(1), 965–971 (1991).
[Crossref]

Dhesi, S. S.

V. Saidl, P. Nemec, P. Wadley, V. Hills, R. P. Campion, V. Novak, K. W. Edmonds, F. Maccherozzi, S. S. Dhesi, B. L. Gallagher, F. Trojanek, J. Kunes, J. Zelezny, P. Maly, and T. Jungwirth, “Optical determination of the Néel vector in a CuMnAs thin-film antiferromagnet,” Nat. Photonics 11(2), 91–96 (2016).
[Crossref]

Dionne, G. F.

A. R. Taussig, G. F. Dionne, and C. A. Ross, “Dependence of Faraday rotation and magneto-optical figure of merit on dielectric tensor elements in materials with uniaxial symmetry”, Phys. Rev. B 77, 012407 (2008).
[Crossref]

Edmonds, K. W.

V. Saidl, P. Nemec, P. Wadley, V. Hills, R. P. Campion, V. Novak, K. W. Edmonds, F. Maccherozzi, S. S. Dhesi, B. L. Gallagher, F. Trojanek, J. Kunes, J. Zelezny, P. Maly, and T. Jungwirth, “Optical determination of the Néel vector in a CuMnAs thin-film antiferromagnet,” Nat. Photonics 11(2), 91–96 (2016).
[Crossref]

Ejlli, A.

F. D. Valle, A. Ejlli, U. Gastaldi, G. Messineo, E. Milotti, R. Pengo, L. Piemontese, G. Ruoso, and G. Zavattini, “Measurement of the Cotton Mouton effect of water vapor,” Chem. Phys. Lett,  592, 288–291 (2013).
[Crossref]

Fan, X.

X. Fan, A. R. Mellnik, W. Wang, N. Reynolds, T. Wang, H. Celik, V. O. Lorenz, D. C. Ralph, and J. Q. Xiao, “All optical vector measurement of spin-orbit-induced torques using both polar and quadratic magneto-optic Kerr effects,” Appl. Phys. Lett. 109, 122406 (2016).
[Crossref]

Fetzer, R.

D. Steil, O. Schmitt, R. Fetzer, T. Kubota, H. Naganuma, M. Oogane, Y. Ando, A. K. Suszka, O. Idigoras, G. Wolf, B. Hillebrands, A. Berger, M. Aeschlimann, and M. Cinchetti, “Ultrafast magnetization dynamics in Co-based Heusler compounds with tuned chemical ordering,” New. J. Phys. 16, 063068 (2014).
[Crossref]

Fujimoto, Y.

R. Yasuhara, S. Tokita, J. Kawanaka, T. Kawashima, H. Kan, H. Yagi, H. Nozawa, T. Yanagitani, Y. Fujimoto, H. Yoshida, and M. Nakatsuka, “Measurement of magnet0-optical property and thermal conductivity on TGG ceramic for Faraday material of high-peak and high average power laser,” Rev. Laser Eng. 35(12), 806–810 (2007).
[Crossref]

Gabrielse, G.

Gallagher, B. L.

V. Saidl, P. Nemec, P. Wadley, V. Hills, R. P. Campion, V. Novak, K. W. Edmonds, F. Maccherozzi, S. S. Dhesi, B. L. Gallagher, F. Trojanek, J. Kunes, J. Zelezny, P. Maly, and T. Jungwirth, “Optical determination of the Néel vector in a CuMnAs thin-film antiferromagnet,” Nat. Photonics 11(2), 91–96 (2016).
[Crossref]

Gastaldi, U.

F. D. Valle, A. Ejlli, U. Gastaldi, G. Messineo, E. Milotti, R. Pengo, L. Piemontese, G. Ruoso, and G. Zavattini, “Measurement of the Cotton Mouton effect of water vapor,” Chem. Phys. Lett,  592, 288–291 (2013).
[Crossref]

Goryachev, M.

N. Kostylev, M. Goryachev, P. Bushev, and M. E. Tobar, “Electromagnetic properties of terbium gallium garnet at millikelvin temperatures and low photon energy,” Appl. Phys. Lett. 111, 052402 (2017).
[Crossref]

Grainger, J. F.

D. Clarke and J. F. Grainger, “The description of polarized light,” in Polarized light and Optical Measurement, 1st ed. (Pergamon Press Ltd., Germany, 1971), pp. 1–41.

Hendry, E.

R. V. Mikhaylovskiy, E. Hendry, F. Y. Ogrin, and V. V. Kruglyak, “Low-temperature time-domain terahertz spectroscopy of terbium gallium garnet crystals,” Phys. Rev. B 87, 094414 (2013).
[Crossref]

R. V. Mikhaylovskiy, E. Hendry, and V. V. Kruglyak, “Ultrafast inverse Faraday effect in a paramagnetic terbium gallium garnet crystal,” Phys. Rev. B 86, 100405 (2012).
[Crossref]

Hillebrands, B.

D. Steil, O. Schmitt, R. Fetzer, T. Kubota, H. Naganuma, M. Oogane, Y. Ando, A. K. Suszka, O. Idigoras, G. Wolf, B. Hillebrands, A. Berger, M. Aeschlimann, and M. Cinchetti, “Ultrafast magnetization dynamics in Co-based Heusler compounds with tuned chemical ordering,” New. J. Phys. 16, 063068 (2014).
[Crossref]

Hills, V.

V. Saidl, P. Nemec, P. Wadley, V. Hills, R. P. Campion, V. Novak, K. W. Edmonds, F. Maccherozzi, S. S. Dhesi, B. L. Gallagher, F. Trojanek, J. Kunes, J. Zelezny, P. Maly, and T. Jungwirth, “Optical determination of the Néel vector in a CuMnAs thin-film antiferromagnet,” Nat. Photonics 11(2), 91–96 (2016).
[Crossref]

Idigoras, O.

D. Steil, O. Schmitt, R. Fetzer, T. Kubota, H. Naganuma, M. Oogane, Y. Ando, A. K. Suszka, O. Idigoras, G. Wolf, B. Hillebrands, A. Berger, M. Aeschlimann, and M. Cinchetti, “Ultrafast magnetization dynamics in Co-based Heusler compounds with tuned chemical ordering,” New. J. Phys. 16, 063068 (2014).
[Crossref]

Jungwirth, T.

V. Saidl, P. Nemec, P. Wadley, V. Hills, R. P. Campion, V. Novak, K. W. Edmonds, F. Maccherozzi, S. S. Dhesi, B. L. Gallagher, F. Trojanek, J. Kunes, J. Zelezny, P. Maly, and T. Jungwirth, “Optical determination of the Néel vector in a CuMnAs thin-film antiferromagnet,” Nat. Photonics 11(2), 91–96 (2016).
[Crossref]

Kan, H.

R. Yasuhara, S. Tokita, J. Kawanaka, T. Kawashima, H. Kan, H. Yagi, H. Nozawa, T. Yanagitani, Y. Fujimoto, H. Yoshida, and M. Nakatsuka, “Measurement of magnet0-optical property and thermal conductivity on TGG ceramic for Faraday material of high-peak and high average power laser,” Rev. Laser Eng. 35(12), 806–810 (2007).
[Crossref]

Karczewski, G.

A. V. Kimel, G. V. Astakhov, A. Kirilyuk, G. M. Schott, G. Karczewski, W. Ossau, G. Schmidt, L. W. Molenkamp, and Th. Rasing, “Observation of giant magnetic linear dichroism in (Ga, Mn)As,” Phys. Rev. Lett. 94, 227203 (2005).
[Crossref]

Kataev, V.

U. Löw, S. A. Zvyagin, M. Ozerov, U. Schaufuss, V. Kataev, B. Wolf, and B. Lüthi, “Magnetization, magnetic susceptibility and ESR in Tb3Ga5O12,” Eur. Phys. J. B 86(3), 87 (2013).
[Crossref]

Kawanaka, J.

R. Yasuhara, H. Nozawa, T. Yanagitani, S. Motokoshi, and J. Kawanaka, “Temperature dependence of thermo-optic effects of single-crystal and ceramic TGG,” Opt. Express 21, 31443–31452 (2013).
[Crossref]

R. Yasuhara, S. Tokita, J. Kawanaka, T. Kawashima, H. Kan, H. Yagi, H. Nozawa, T. Yanagitani, Y. Fujimoto, H. Yoshida, and M. Nakatsuka, “Measurement of magnet0-optical property and thermal conductivity on TGG ceramic for Faraday material of high-peak and high average power laser,” Rev. Laser Eng. 35(12), 806–810 (2007).
[Crossref]

Kawashima, T.

R. Yasuhara, S. Tokita, J. Kawanaka, T. Kawashima, H. Kan, H. Yagi, H. Nozawa, T. Yanagitani, Y. Fujimoto, H. Yoshida, and M. Nakatsuka, “Measurement of magnet0-optical property and thermal conductivity on TGG ceramic for Faraday material of high-peak and high average power laser,” Rev. Laser Eng. 35(12), 806–810 (2007).
[Crossref]

Kimel, A. V.

A. V. Kimel, G. V. Astakhov, A. Kirilyuk, G. M. Schott, G. Karczewski, W. Ossau, G. Schmidt, L. W. Molenkamp, and Th. Rasing, “Observation of giant magnetic linear dichroism in (Ga, Mn)As,” Phys. Rev. Lett. 94, 227203 (2005).
[Crossref]

Kirilyuk, A.

A. V. Kimel, G. V. Astakhov, A. Kirilyuk, G. M. Schott, G. Karczewski, W. Ossau, G. Schmidt, L. W. Molenkamp, and Th. Rasing, “Observation of giant magnetic linear dichroism in (Ga, Mn)As,” Phys. Rev. Lett. 94, 227203 (2005).
[Crossref]

Kolmakova, N. P.

N. P. Kolmakova, R. Z. Levitin, A. I. Popov, N. F. Vedernikov, A. K. Zvezdin, and V. Nekvasil, “Magnetic linear birefringence in rare-earth garnets Crystal-field effects and the Judd-Ofelt approximation,” Phys Rev. B 41, 6170 (1990).
[Crossref]

Kostylev, N.

N. Kostylev, M. Goryachev, P. Bushev, and M. E. Tobar, “Electromagnetic properties of terbium gallium garnet at millikelvin temperatures and low photon energy,” Appl. Phys. Lett. 111, 052402 (2017).
[Crossref]

Kotov, V. A.

A. K. Zvezdin and V. A. Kotov, “Magnetooptical effects,” in Modern Magnetooptics and Magnetooptical Materials (Taylor & Francis Group, 1997), pp. 33–58.

Kruglyak, V. V.

R. V. Mikhaylovskiy, E. Hendry, F. Y. Ogrin, and V. V. Kruglyak, “Low-temperature time-domain terahertz spectroscopy of terbium gallium garnet crystals,” Phys. Rev. B 87, 094414 (2013).
[Crossref]

R. V. Mikhaylovskiy, E. Hendry, and V. V. Kruglyak, “Ultrafast inverse Faraday effect in a paramagnetic terbium gallium garnet crystal,” Phys. Rev. B 86, 100405 (2012).
[Crossref]

Kubota, T.

D. Steil, O. Schmitt, R. Fetzer, T. Kubota, H. Naganuma, M. Oogane, Y. Ando, A. K. Suszka, O. Idigoras, G. Wolf, B. Hillebrands, A. Berger, M. Aeschlimann, and M. Cinchetti, “Ultrafast magnetization dynamics in Co-based Heusler compounds with tuned chemical ordering,” New. J. Phys. 16, 063068 (2014).
[Crossref]

Kunes, J.

V. Saidl, P. Nemec, P. Wadley, V. Hills, R. P. Campion, V. Novak, K. W. Edmonds, F. Maccherozzi, S. S. Dhesi, B. L. Gallagher, F. Trojanek, J. Kunes, J. Zelezny, P. Maly, and T. Jungwirth, “Optical determination of the Néel vector in a CuMnAs thin-film antiferromagnet,” Nat. Photonics 11(2), 91–96 (2016).
[Crossref]

Levitin, R. Z.

N. P. Kolmakova, R. Z. Levitin, A. I. Popov, N. F. Vedernikov, A. K. Zvezdin, and V. Nekvasil, “Magnetic linear birefringence in rare-earth garnets Crystal-field effects and the Judd-Ofelt approximation,” Phys Rev. B 41, 6170 (1990).
[Crossref]

N. F. Vedernikov, A. K. Zvezdin, R. Z. Levitin, and A. I. Popov, “Magnetic linear birefringence of rare earth garnets,” Sov. Phys. JETP 66(6), 1233–1242 (1987).

Liu, J-m.

J-m. Liu, Photonic Devices (Cambridge University Press, 2005).
[Crossref]

Livingston, A. E.

Lorenz, V. O.

X. Fan, A. R. Mellnik, W. Wang, N. Reynolds, T. Wang, H. Celik, V. O. Lorenz, D. C. Ralph, and J. Q. Xiao, “All optical vector measurement of spin-orbit-induced torques using both polar and quadratic magneto-optic Kerr effects,” Appl. Phys. Lett. 109, 122406 (2016).
[Crossref]

Löw, U.

U. Löw, S. A. Zvyagin, M. Ozerov, U. Schaufuss, V. Kataev, B. Wolf, and B. Lüthi, “Magnetization, magnetic susceptibility and ESR in Tb3Ga5O12,” Eur. Phys. J. B 86(3), 87 (2013).
[Crossref]

Lucianetti, A.

O. Slezák, R. Yasahura, A. Lucianetti, and T. Mocek, “Temperature-wavelength dependence of terbium gallium garnet ceramics Verdet constant,” Opt. Mater. Exp. 6(11), 3683–3691 (2016).
[Crossref]

Lüthi, B.

U. Löw, S. A. Zvyagin, M. Ozerov, U. Schaufuss, V. Kataev, B. Wolf, and B. Lüthi, “Magnetization, magnetic susceptibility and ESR in Tb3Ga5O12,” Eur. Phys. J. B 86(3), 87 (2013).
[Crossref]

Maccherozzi, F.

V. Saidl, P. Nemec, P. Wadley, V. Hills, R. P. Campion, V. Novak, K. W. Edmonds, F. Maccherozzi, S. S. Dhesi, B. L. Gallagher, F. Trojanek, J. Kunes, J. Zelezny, P. Maly, and T. Jungwirth, “Optical determination of the Néel vector in a CuMnAs thin-film antiferromagnet,” Nat. Photonics 11(2), 91–96 (2016).
[Crossref]

Majeed, H.

A. Shaheen, H. Majeed, and M. S. Anwar, “Ultralarge magneto-optical rotations and rotary dispersion in the terbium gallium garnet single crystal,” Appl. Opt. 52, 5549–5554 (2015).
[Crossref]

H. Majeed, A. Shaheen, and M. S. Anwar, “Complete Stokes polarimetry of magneto-optical Faraday effect in a terbium gallium garnet crystal at cryogenic temperatures,” Opt. Express 21, 25148–25158 (2013).
[Crossref] [PubMed]

Maly, P.

V. Saidl, P. Nemec, P. Wadley, V. Hills, R. P. Campion, V. Novak, K. W. Edmonds, F. Maccherozzi, S. S. Dhesi, B. L. Gallagher, F. Trojanek, J. Kunes, J. Zelezny, P. Maly, and T. Jungwirth, “Optical determination of the Néel vector in a CuMnAs thin-film antiferromagnet,” Nat. Photonics 11(2), 91–96 (2016).
[Crossref]

Mazzoni, D.L.

K. Cho, S.P. Bush, D.L. Mazzoni, and C.C. Davis, “Magnetic linear birefringence of Faraday materials,” Phys. Rev. B 43(1), 965–971 (1991).
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McCord, J.

J. McCord, “Progress in magnetic domain observation by advanced magneto-optical microscopy,” J. Phys. D: Appl. Phys. 48, 333001 (2015).
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Mellnik, A. R.

X. Fan, A. R. Mellnik, W. Wang, N. Reynolds, T. Wang, H. Celik, V. O. Lorenz, D. C. Ralph, and J. Q. Xiao, “All optical vector measurement of spin-orbit-induced torques using both polar and quadratic magneto-optic Kerr effects,” Appl. Phys. Lett. 109, 122406 (2016).
[Crossref]

Messineo, G.

F. D. Valle, A. Ejlli, U. Gastaldi, G. Messineo, E. Milotti, R. Pengo, L. Piemontese, G. Ruoso, and G. Zavattini, “Measurement of the Cotton Mouton effect of water vapor,” Chem. Phys. Lett,  592, 288–291 (2013).
[Crossref]

Mikhaylovskiy, R. V.

R. V. Mikhaylovskiy, E. Hendry, F. Y. Ogrin, and V. V. Kruglyak, “Low-temperature time-domain terahertz spectroscopy of terbium gallium garnet crystals,” Phys. Rev. B 87, 094414 (2013).
[Crossref]

R. V. Mikhaylovskiy, E. Hendry, and V. V. Kruglyak, “Ultrafast inverse Faraday effect in a paramagnetic terbium gallium garnet crystal,” Phys. Rev. B 86, 100405 (2012).
[Crossref]

Milotti, E.

F. D. Valle, A. Ejlli, U. Gastaldi, G. Messineo, E. Milotti, R. Pengo, L. Piemontese, G. Ruoso, and G. Zavattini, “Measurement of the Cotton Mouton effect of water vapor,” Chem. Phys. Lett,  592, 288–291 (2013).
[Crossref]

Mocek, T.

O. Slezák, R. Yasahura, A. Lucianetti, and T. Mocek, “Temperature-wavelength dependence of terbium gallium garnet ceramics Verdet constant,” Opt. Mater. Exp. 6(11), 3683–3691 (2016).
[Crossref]

Molenkamp, L. W.

A. V. Kimel, G. V. Astakhov, A. Kirilyuk, G. M. Schott, G. Karczewski, W. Ossau, G. Schmidt, L. W. Molenkamp, and Th. Rasing, “Observation of giant magnetic linear dichroism in (Ga, Mn)As,” Phys. Rev. Lett. 94, 227203 (2005).
[Crossref]

Motokoshi, S.

Naganuma, H.

D. Steil, O. Schmitt, R. Fetzer, T. Kubota, H. Naganuma, M. Oogane, Y. Ando, A. K. Suszka, O. Idigoras, G. Wolf, B. Hillebrands, A. Berger, M. Aeschlimann, and M. Cinchetti, “Ultrafast magnetization dynamics in Co-based Heusler compounds with tuned chemical ordering,” New. J. Phys. 16, 063068 (2014).
[Crossref]

Nakatsuka, M.

R. Yasuhara, S. Tokita, J. Kawanaka, T. Kawashima, H. Kan, H. Yagi, H. Nozawa, T. Yanagitani, Y. Fujimoto, H. Yoshida, and M. Nakatsuka, “Measurement of magnet0-optical property and thermal conductivity on TGG ceramic for Faraday material of high-peak and high average power laser,” Rev. Laser Eng. 35(12), 806–810 (2007).
[Crossref]

Nekvasil, V.

N. P. Kolmakova, R. Z. Levitin, A. I. Popov, N. F. Vedernikov, A. K. Zvezdin, and V. Nekvasil, “Magnetic linear birefringence in rare-earth garnets Crystal-field effects and the Judd-Ofelt approximation,” Phys Rev. B 41, 6170 (1990).
[Crossref]

Nemec, P.

V. Saidl, P. Nemec, P. Wadley, V. Hills, R. P. Campion, V. Novak, K. W. Edmonds, F. Maccherozzi, S. S. Dhesi, B. L. Gallagher, F. Trojanek, J. Kunes, J. Zelezny, P. Maly, and T. Jungwirth, “Optical determination of the Néel vector in a CuMnAs thin-film antiferromagnet,” Nat. Photonics 11(2), 91–96 (2016).
[Crossref]

Novak, V.

V. Saidl, P. Nemec, P. Wadley, V. Hills, R. P. Campion, V. Novak, K. W. Edmonds, F. Maccherozzi, S. S. Dhesi, B. L. Gallagher, F. Trojanek, J. Kunes, J. Zelezny, P. Maly, and T. Jungwirth, “Optical determination of the Néel vector in a CuMnAs thin-film antiferromagnet,” Nat. Photonics 11(2), 91–96 (2016).
[Crossref]

Nozawa, H.

R. Yasuhara, H. Nozawa, T. Yanagitani, S. Motokoshi, and J. Kawanaka, “Temperature dependence of thermo-optic effects of single-crystal and ceramic TGG,” Opt. Express 21, 31443–31452 (2013).
[Crossref]

R. Yasuhara, S. Tokita, J. Kawanaka, T. Kawashima, H. Kan, H. Yagi, H. Nozawa, T. Yanagitani, Y. Fujimoto, H. Yoshida, and M. Nakatsuka, “Measurement of magnet0-optical property and thermal conductivity on TGG ceramic for Faraday material of high-peak and high average power laser,” Rev. Laser Eng. 35(12), 806–810 (2007).
[Crossref]

Ogrin, F. Y.

R. V. Mikhaylovskiy, E. Hendry, F. Y. Ogrin, and V. V. Kruglyak, “Low-temperature time-domain terahertz spectroscopy of terbium gallium garnet crystals,” Phys. Rev. B 87, 094414 (2013).
[Crossref]

Oogane, M.

D. Steil, O. Schmitt, R. Fetzer, T. Kubota, H. Naganuma, M. Oogane, Y. Ando, A. K. Suszka, O. Idigoras, G. Wolf, B. Hillebrands, A. Berger, M. Aeschlimann, and M. Cinchetti, “Ultrafast magnetization dynamics in Co-based Heusler compounds with tuned chemical ordering,” New. J. Phys. 16, 063068 (2014).
[Crossref]

Ossau, W.

A. V. Kimel, G. V. Astakhov, A. Kirilyuk, G. M. Schott, G. Karczewski, W. Ossau, G. Schmidt, L. W. Molenkamp, and Th. Rasing, “Observation of giant magnetic linear dichroism in (Ga, Mn)As,” Phys. Rev. Lett. 94, 227203 (2005).
[Crossref]

Ozerov, M.

U. Löw, S. A. Zvyagin, M. Ozerov, U. Schaufuss, V. Kataev, B. Wolf, and B. Lüthi, “Magnetization, magnetic susceptibility and ESR in Tb3Ga5O12,” Eur. Phys. J. B 86(3), 87 (2013).
[Crossref]

Pengo, R.

F. D. Valle, A. Ejlli, U. Gastaldi, G. Messineo, E. Milotti, R. Pengo, L. Piemontese, G. Ruoso, and G. Zavattini, “Measurement of the Cotton Mouton effect of water vapor,” Chem. Phys. Lett,  592, 288–291 (2013).
[Crossref]

Piemontese, L.

F. D. Valle, A. Ejlli, U. Gastaldi, G. Messineo, E. Milotti, R. Pengo, L. Piemontese, G. Ruoso, and G. Zavattini, “Measurement of the Cotton Mouton effect of water vapor,” Chem. Phys. Lett,  592, 288–291 (2013).
[Crossref]

Popov, A. I.

N. P. Kolmakova, R. Z. Levitin, A. I. Popov, N. F. Vedernikov, A. K. Zvezdin, and V. Nekvasil, “Magnetic linear birefringence in rare-earth garnets Crystal-field effects and the Judd-Ofelt approximation,” Phys Rev. B 41, 6170 (1990).
[Crossref]

N. F. Vedernikov, A. K. Zvezdin, R. Z. Levitin, and A. I. Popov, “Magnetic linear birefringence of rare earth garnets,” Sov. Phys. JETP 66(6), 1233–1242 (1987).

Ralph, D. C.

X. Fan, A. R. Mellnik, W. Wang, N. Reynolds, T. Wang, H. Celik, V. O. Lorenz, D. C. Ralph, and J. Q. Xiao, “All optical vector measurement of spin-orbit-induced torques using both polar and quadratic magneto-optic Kerr effects,” Appl. Phys. Lett. 109, 122406 (2016).
[Crossref]

Rasing, Th.

A. V. Kimel, G. V. Astakhov, A. Kirilyuk, G. M. Schott, G. Karczewski, W. Ossau, G. Schmidt, L. W. Molenkamp, and Th. Rasing, “Observation of giant magnetic linear dichroism in (Ga, Mn)As,” Phys. Rev. Lett. 94, 227203 (2005).
[Crossref]

Reynolds, N.

X. Fan, A. R. Mellnik, W. Wang, N. Reynolds, T. Wang, H. Celik, V. O. Lorenz, D. C. Ralph, and J. Q. Xiao, “All optical vector measurement of spin-orbit-induced torques using both polar and quadratic magneto-optic Kerr effects,” Appl. Phys. Lett. 109, 122406 (2016).
[Crossref]

Rikken, G. L. J. A.

C. Strohm, G. L. J. A. Rikken, and P. Wyder, “Phenomenological evidence for the phonon Hall effect,” Phys. Rev. Lett. 95, 155901 (2005).
[Crossref] [PubMed]

Ross, C. A.

A. R. Taussig, G. F. Dionne, and C. A. Ross, “Dependence of Faraday rotation and magneto-optical figure of merit on dielectric tensor elements in materials with uniaxial symmetry”, Phys. Rev. B 77, 012407 (2008).
[Crossref]

Ruoso, G.

F. D. Valle, A. Ejlli, U. Gastaldi, G. Messineo, E. Milotti, R. Pengo, L. Piemontese, G. Ruoso, and G. Zavattini, “Measurement of the Cotton Mouton effect of water vapor,” Chem. Phys. Lett,  592, 288–291 (2013).
[Crossref]

Saidl, V.

V. Saidl, P. Nemec, P. Wadley, V. Hills, R. P. Campion, V. Novak, K. W. Edmonds, F. Maccherozzi, S. S. Dhesi, B. L. Gallagher, F. Trojanek, J. Kunes, J. Zelezny, P. Maly, and T. Jungwirth, “Optical determination of the Néel vector in a CuMnAs thin-film antiferromagnet,” Nat. Photonics 11(2), 91–96 (2016).
[Crossref]

Schaufuss, U.

U. Löw, S. A. Zvyagin, M. Ozerov, U. Schaufuss, V. Kataev, B. Wolf, and B. Lüthi, “Magnetization, magnetic susceptibility and ESR in Tb3Ga5O12,” Eur. Phys. J. B 86(3), 87 (2013).
[Crossref]

Schmidt, G.

A. V. Kimel, G. V. Astakhov, A. Kirilyuk, G. M. Schott, G. Karczewski, W. Ossau, G. Schmidt, L. W. Molenkamp, and Th. Rasing, “Observation of giant magnetic linear dichroism in (Ga, Mn)As,” Phys. Rev. Lett. 94, 227203 (2005).
[Crossref]

Schmitt, O.

D. Steil, O. Schmitt, R. Fetzer, T. Kubota, H. Naganuma, M. Oogane, Y. Ando, A. K. Suszka, O. Idigoras, G. Wolf, B. Hillebrands, A. Berger, M. Aeschlimann, and M. Cinchetti, “Ultrafast magnetization dynamics in Co-based Heusler compounds with tuned chemical ordering,” New. J. Phys. 16, 063068 (2014).
[Crossref]

Schott, G. M.

A. V. Kimel, G. V. Astakhov, A. Kirilyuk, G. M. Schott, G. Karczewski, W. Ossau, G. Schmidt, L. W. Molenkamp, and Th. Rasing, “Observation of giant magnetic linear dichroism in (Ga, Mn)As,” Phys. Rev. Lett. 94, 227203 (2005).
[Crossref]

Shaheen, A.

A. Shaheen, H. Majeed, and M. S. Anwar, “Ultralarge magneto-optical rotations and rotary dispersion in the terbium gallium garnet single crystal,” Appl. Opt. 52, 5549–5554 (2015).
[Crossref]

H. Majeed, A. Shaheen, and M. S. Anwar, “Complete Stokes polarimetry of magneto-optical Faraday effect in a terbium gallium garnet crystal at cryogenic temperatures,” Opt. Express 21, 25148–25158 (2013).
[Crossref] [PubMed]

Slezák, O.

O. Slezák, R. Yasahura, A. Lucianetti, and T. Mocek, “Temperature-wavelength dependence of terbium gallium garnet ceramics Verdet constant,” Opt. Mater. Exp. 6(11), 3683–3691 (2016).
[Crossref]

Steil, D.

D. Steil, O. Schmitt, R. Fetzer, T. Kubota, H. Naganuma, M. Oogane, Y. Ando, A. K. Suszka, O. Idigoras, G. Wolf, B. Hillebrands, A. Berger, M. Aeschlimann, and M. Cinchetti, “Ultrafast magnetization dynamics in Co-based Heusler compounds with tuned chemical ordering,” New. J. Phys. 16, 063068 (2014).
[Crossref]

Strohm, C.

C. Strohm, G. L. J. A. Rikken, and P. Wyder, “Phenomenological evidence for the phonon Hall effect,” Phys. Rev. Lett. 95, 155901 (2005).
[Crossref] [PubMed]

Suszka, A. K.

D. Steil, O. Schmitt, R. Fetzer, T. Kubota, H. Naganuma, M. Oogane, Y. Ando, A. K. Suszka, O. Idigoras, G. Wolf, B. Hillebrands, A. Berger, M. Aeschlimann, and M. Cinchetti, “Ultrafast magnetization dynamics in Co-based Heusler compounds with tuned chemical ordering,” New. J. Phys. 16, 063068 (2014).
[Crossref]

Taussig, A. R.

A. R. Taussig, G. F. Dionne, and C. A. Ross, “Dependence of Faraday rotation and magneto-optical figure of merit on dielectric tensor elements in materials with uniaxial symmetry”, Phys. Rev. B 77, 012407 (2008).
[Crossref]

Tobar, M. E.

N. Kostylev, M. Goryachev, P. Bushev, and M. E. Tobar, “Electromagnetic properties of terbium gallium garnet at millikelvin temperatures and low photon energy,” Appl. Phys. Lett. 111, 052402 (2017).
[Crossref]

Tokita, S.

R. Yasuhara, S. Tokita, J. Kawanaka, T. Kawashima, H. Kan, H. Yagi, H. Nozawa, T. Yanagitani, Y. Fujimoto, H. Yoshida, and M. Nakatsuka, “Measurement of magnet0-optical property and thermal conductivity on TGG ceramic for Faraday material of high-peak and high average power laser,” Rev. Laser Eng. 35(12), 806–810 (2007).
[Crossref]

Trojanek, F.

V. Saidl, P. Nemec, P. Wadley, V. Hills, R. P. Campion, V. Novak, K. W. Edmonds, F. Maccherozzi, S. S. Dhesi, B. L. Gallagher, F. Trojanek, J. Kunes, J. Zelezny, P. Maly, and T. Jungwirth, “Optical determination of the Néel vector in a CuMnAs thin-film antiferromagnet,” Nat. Photonics 11(2), 91–96 (2016).
[Crossref]

Valle, F. D.

F. D. Valle, A. Ejlli, U. Gastaldi, G. Messineo, E. Milotti, R. Pengo, L. Piemontese, G. Ruoso, and G. Zavattini, “Measurement of the Cotton Mouton effect of water vapor,” Chem. Phys. Lett,  592, 288–291 (2013).
[Crossref]

Vedernikov, N. F.

N. P. Kolmakova, R. Z. Levitin, A. I. Popov, N. F. Vedernikov, A. K. Zvezdin, and V. Nekvasil, “Magnetic linear birefringence in rare-earth garnets Crystal-field effects and the Judd-Ofelt approximation,” Phys Rev. B 41, 6170 (1990).
[Crossref]

N. F. Vedernikov, A. K. Zvezdin, R. Z. Levitin, and A. I. Popov, “Magnetic linear birefringence of rare earth garnets,” Sov. Phys. JETP 66(6), 1233–1242 (1987).

Voigt, W.

W. Voigt, Magneto-und Elektrooptik (Teubner, Leipzig, 1908).

Wadley, P.

V. Saidl, P. Nemec, P. Wadley, V. Hills, R. P. Campion, V. Novak, K. W. Edmonds, F. Maccherozzi, S. S. Dhesi, B. L. Gallagher, F. Trojanek, J. Kunes, J. Zelezny, P. Maly, and T. Jungwirth, “Optical determination of the Néel vector in a CuMnAs thin-film antiferromagnet,” Nat. Photonics 11(2), 91–96 (2016).
[Crossref]

Wang, T.

X. Fan, A. R. Mellnik, W. Wang, N. Reynolds, T. Wang, H. Celik, V. O. Lorenz, D. C. Ralph, and J. Q. Xiao, “All optical vector measurement of spin-orbit-induced torques using both polar and quadratic magneto-optic Kerr effects,” Appl. Phys. Lett. 109, 122406 (2016).
[Crossref]

Wang, W.

X. Fan, A. R. Mellnik, W. Wang, N. Reynolds, T. Wang, H. Celik, V. O. Lorenz, D. C. Ralph, and J. Q. Xiao, “All optical vector measurement of spin-orbit-induced torques using both polar and quadratic magneto-optic Kerr effects,” Appl. Phys. Lett. 109, 122406 (2016).
[Crossref]

Wolf, B.

U. Löw, S. A. Zvyagin, M. Ozerov, U. Schaufuss, V. Kataev, B. Wolf, and B. Lüthi, “Magnetization, magnetic susceptibility and ESR in Tb3Ga5O12,” Eur. Phys. J. B 86(3), 87 (2013).
[Crossref]

Wolf, G.

D. Steil, O. Schmitt, R. Fetzer, T. Kubota, H. Naganuma, M. Oogane, Y. Ando, A. K. Suszka, O. Idigoras, G. Wolf, B. Hillebrands, A. Berger, M. Aeschlimann, and M. Cinchetti, “Ultrafast magnetization dynamics in Co-based Heusler compounds with tuned chemical ordering,” New. J. Phys. 16, 063068 (2014).
[Crossref]

Wyder, P.

C. Strohm, G. L. J. A. Rikken, and P. Wyder, “Phenomenological evidence for the phonon Hall effect,” Phys. Rev. Lett. 95, 155901 (2005).
[Crossref] [PubMed]

Xiao, J. Q.

X. Fan, A. R. Mellnik, W. Wang, N. Reynolds, T. Wang, H. Celik, V. O. Lorenz, D. C. Ralph, and J. Q. Xiao, “All optical vector measurement of spin-orbit-induced torques using both polar and quadratic magneto-optic Kerr effects,” Appl. Phys. Lett. 109, 122406 (2016).
[Crossref]

Yagi, H.

R. Yasuhara, S. Tokita, J. Kawanaka, T. Kawashima, H. Kan, H. Yagi, H. Nozawa, T. Yanagitani, Y. Fujimoto, H. Yoshida, and M. Nakatsuka, “Measurement of magnet0-optical property and thermal conductivity on TGG ceramic for Faraday material of high-peak and high average power laser,” Rev. Laser Eng. 35(12), 806–810 (2007).
[Crossref]

Yanagitani, T.

R. Yasuhara, H. Nozawa, T. Yanagitani, S. Motokoshi, and J. Kawanaka, “Temperature dependence of thermo-optic effects of single-crystal and ceramic TGG,” Opt. Express 21, 31443–31452 (2013).
[Crossref]

R. Yasuhara, S. Tokita, J. Kawanaka, T. Kawashima, H. Kan, H. Yagi, H. Nozawa, T. Yanagitani, Y. Fujimoto, H. Yoshida, and M. Nakatsuka, “Measurement of magnet0-optical property and thermal conductivity on TGG ceramic for Faraday material of high-peak and high average power laser,” Rev. Laser Eng. 35(12), 806–810 (2007).
[Crossref]

Yasahura, R.

O. Slezák, R. Yasahura, A. Lucianetti, and T. Mocek, “Temperature-wavelength dependence of terbium gallium garnet ceramics Verdet constant,” Opt. Mater. Exp. 6(11), 3683–3691 (2016).
[Crossref]

Yasuhara, R.

R. Yasuhara, H. Nozawa, T. Yanagitani, S. Motokoshi, and J. Kawanaka, “Temperature dependence of thermo-optic effects of single-crystal and ceramic TGG,” Opt. Express 21, 31443–31452 (2013).
[Crossref]

R. Yasuhara, S. Tokita, J. Kawanaka, T. Kawashima, H. Kan, H. Yagi, H. Nozawa, T. Yanagitani, Y. Fujimoto, H. Yoshida, and M. Nakatsuka, “Measurement of magnet0-optical property and thermal conductivity on TGG ceramic for Faraday material of high-peak and high average power laser,” Rev. Laser Eng. 35(12), 806–810 (2007).
[Crossref]

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R. Yasuhara, S. Tokita, J. Kawanaka, T. Kawashima, H. Kan, H. Yagi, H. Nozawa, T. Yanagitani, Y. Fujimoto, H. Yoshida, and M. Nakatsuka, “Measurement of magnet0-optical property and thermal conductivity on TGG ceramic for Faraday material of high-peak and high average power laser,” Rev. Laser Eng. 35(12), 806–810 (2007).
[Crossref]

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[Crossref]

Zvezdin, A. K.

N. P. Kolmakova, R. Z. Levitin, A. I. Popov, N. F. Vedernikov, A. K. Zvezdin, and V. Nekvasil, “Magnetic linear birefringence in rare-earth garnets Crystal-field effects and the Judd-Ofelt approximation,” Phys Rev. B 41, 6170 (1990).
[Crossref]

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A. K. Zvezdin and V. A. Kotov, “Magnetooptical effects,” in Modern Magnetooptics and Magnetooptical Materials (Taylor & Francis Group, 1997), pp. 33–58.

Zvyagin, S. A.

U. Löw, S. A. Zvyagin, M. Ozerov, U. Schaufuss, V. Kataev, B. Wolf, and B. Lüthi, “Magnetization, magnetic susceptibility and ESR in Tb3Ga5O12,” Eur. Phys. J. B 86(3), 87 (2013).
[Crossref]

Appl. Opt. (2)

A. Shaheen, H. Majeed, and M. S. Anwar, “Ultralarge magneto-optical rotations and rotary dispersion in the terbium gallium garnet single crystal,” Appl. Opt. 52, 5549–5554 (2015).
[Crossref]

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X. Fan, A. R. Mellnik, W. Wang, N. Reynolds, T. Wang, H. Celik, V. O. Lorenz, D. C. Ralph, and J. Q. Xiao, “All optical vector measurement of spin-orbit-induced torques using both polar and quadratic magneto-optic Kerr effects,” Appl. Phys. Lett. 109, 122406 (2016).
[Crossref]

N. Kostylev, M. Goryachev, P. Bushev, and M. E. Tobar, “Electromagnetic properties of terbium gallium garnet at millikelvin temperatures and low photon energy,” Appl. Phys. Lett. 111, 052402 (2017).
[Crossref]

Chem. Phys. Lett (1)

F. D. Valle, A. Ejlli, U. Gastaldi, G. Messineo, E. Milotti, R. Pengo, L. Piemontese, G. Ruoso, and G. Zavattini, “Measurement of the Cotton Mouton effect of water vapor,” Chem. Phys. Lett,  592, 288–291 (2013).
[Crossref]

Eur. Phys. J. B (1)

U. Löw, S. A. Zvyagin, M. Ozerov, U. Schaufuss, V. Kataev, B. Wolf, and B. Lüthi, “Magnetization, magnetic susceptibility and ESR in Tb3Ga5O12,” Eur. Phys. J. B 86(3), 87 (2013).
[Crossref]

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[Crossref]

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[Crossref]

Nat. Photonics (1)

V. Saidl, P. Nemec, P. Wadley, V. Hills, R. P. Campion, V. Novak, K. W. Edmonds, F. Maccherozzi, S. S. Dhesi, B. L. Gallagher, F. Trojanek, J. Kunes, J. Zelezny, P. Maly, and T. Jungwirth, “Optical determination of the Néel vector in a CuMnAs thin-film antiferromagnet,” Nat. Photonics 11(2), 91–96 (2016).
[Crossref]

New. J. Phys. (1)

D. Steil, O. Schmitt, R. Fetzer, T. Kubota, H. Naganuma, M. Oogane, Y. Ando, A. K. Suszka, O. Idigoras, G. Wolf, B. Hillebrands, A. Berger, M. Aeschlimann, and M. Cinchetti, “Ultrafast magnetization dynamics in Co-based Heusler compounds with tuned chemical ordering,” New. J. Phys. 16, 063068 (2014).
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Opt. Express (2)

Opt. Mater. Exp. (1)

O. Slezák, R. Yasahura, A. Lucianetti, and T. Mocek, “Temperature-wavelength dependence of terbium gallium garnet ceramics Verdet constant,” Opt. Mater. Exp. 6(11), 3683–3691 (2016).
[Crossref]

Phys Rev. B (1)

N. P. Kolmakova, R. Z. Levitin, A. I. Popov, N. F. Vedernikov, A. K. Zvezdin, and V. Nekvasil, “Magnetic linear birefringence in rare-earth garnets Crystal-field effects and the Judd-Ofelt approximation,” Phys Rev. B 41, 6170 (1990).
[Crossref]

Phys. Rev. B (4)

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A. V. Kimel, G. V. Astakhov, A. Kirilyuk, G. M. Schott, G. Karczewski, W. Ossau, G. Schmidt, L. W. Molenkamp, and Th. Rasing, “Observation of giant magnetic linear dichroism in (Ga, Mn)As,” Phys. Rev. Lett. 94, 227203 (2005).
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Rev. Laser Eng. (1)

R. Yasuhara, S. Tokita, J. Kawanaka, T. Kawashima, H. Kan, H. Yagi, H. Nozawa, T. Yanagitani, Y. Fujimoto, H. Yoshida, and M. Nakatsuka, “Measurement of magnet0-optical property and thermal conductivity on TGG ceramic for Faraday material of high-peak and high average power laser,” Rev. Laser Eng. 35(12), 806–810 (2007).
[Crossref]

Sov. Phys. JETP (1)

N. F. Vedernikov, A. K. Zvezdin, R. Z. Levitin, and A. I. Popov, “Magnetic linear birefringence of rare earth garnets,” Sov. Phys. JETP 66(6), 1233–1242 (1987).

Other (4)

A. K. Zvezdin and V. A. Kotov, “Magnetooptical effects,” in Modern Magnetooptics and Magnetooptical Materials (Taylor & Francis Group, 1997), pp. 33–58.

W. Voigt, Magneto-und Elektrooptik (Teubner, Leipzig, 1908).

J-m. Liu, Photonic Devices (Cambridge University Press, 2005).
[Crossref]

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Figures (6)

Fig. 1
Fig. 1

The experimental arrangement including L = laser, O = optical chopper, P = polarizer, C= crystal, Q = quarter waveplate, A = analyzer, D = photodetector. The perceived beam path is shown in red.

Fig. 2
Fig. 2

(a) The ellipticity χ and magnetic linear birefringence Δn′ with respect to the square of magnetic field. (b) Angle θ plotted with respect to the square of magnetic field showing correspondence with the theoretical predictions (solid lines) based on intertwined linear and circular birefringence. Uncertainties in angles θ are of the order of ±0.6° and solid lines are guide to the eye.

Fig. 3
Fig. 3

Magnetic linear dichroism, Δn″ plotted with respect to the square of magnetic field B2. Solid lines are only visual guides.

Fig. 4
Fig. 4

Temperature dependence of the Voigt coefficients (a) Vχ and (b) Vθ. The solid lines are fits to hyperbolic curves showing an inverse temperature dependence.

Fig. 5
Fig. 5

The polarization angles (a) χ and (b) θ determined from Stokes polarimetry are plotted as function of the magnetic field B whereas in the main text, we choose to plot these angles as functions of B2.

Fig. 6
Fig. 6

Temperature dependence of (a) angle of the polarization ellipse θ and (b) ellipticity χ. Solid lines are only visual guides. Data is shown for various settings of the magnetic field.

Tables (1)

Tables Icon

Table 1 Data showing the temperatures T, asymmetries Q0 and values of the fitted parameters ζo and θs.

Equations (18)

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ε M O = ε 0 ( n o 2 i A 1 M z i A 1 M y i A 1 M z n o 2 i A 1 M x i A 1 M y i A 1 M x n o 2 ) + A 2 ( M x 2 M x M y M x M z M x M y M y 2 M y M z M x M z M y M z M z 2 ) .
ε M O = ε 0 ( n o 2 i A 1 M z 0 i A 1 M z n o 2 i A 1 M x 0 i A 1 M x n o 2 ) + A 2 ( M x 2 0 M x M z 0 0 0 M x M z 0 M z 2 ) .
ε M O ε 0 ( n 1 2 i Q 0 i Q n 2 2 0 0 0 n 3 2 ) ,
tan 2 θ = cos ( Δ β d ) sinh ( Δ β d ) 1 k o Δ n d
sin 2 χ = sin ( Δ β d ) cosh ( Δ β d ) k o Δ n d .
1 2 E o 1 + sin ξ ( i e i θ 1 ( 1 + sin ξ ) + e i θ 2 cos ξ e i θ 1 cos ξ + i e i θ 2 ( 1 + sin ξ ) )
tan 2 θ = cot ( θ 1 θ 2 ) cos ξ
sin 2 χ = sin ξ sin ( θ 1 θ 2 ) .
I T ( α , β , δ ) = 1 2 [ 1 + ( M 2 cos 2 α + C 2 sin 2 α ) ( 1 + cos δ ) ] + 1 2 [ sin δ sin ( 2 α β ) ] = 1 4 [ ( M cos 2 α C sin 2 α ) cos 4 β + ( M sin 2 α + C cos 2 α ) sin 4 β ] ( 1 cos δ )
Δ C k = 2 N 1 1 + δ k , 0 + δ k , L ( Δ I T 1 cos ( ω k β 1 ) ) 2 + ( Δ I T 2 cos ( ω k β 2 ) ) 2 + + ( Δ I T N cos ( ω k β N ) ) 2
Δ S k = 2 N 1 1 + δ k , 0 + δ k , L ( Δ I T 1 sin ( ω k β 1 ) ) 2 + ( Δ I T 2 sin ( ω k β 2 ) ) 2 + + ( Δ I T N sin ( ω k β N ) ) 2
Δ M = 2 1 cos δ ( C 4 cos ( 2 α + 4 β o ) Δ C 4 ) 2 + ( S 4 cos ( 2 α + 4 β o ) Δ S 4 ) 2
Δ C = 2 1 cos δ ( C 4 cos ( 2 α + 4 β o ) Δ C 4 ) 2 + ( S 4 cos ( 2 α + 4 β o ) Δ S 4 ) 2
Δ S = ( 1 sin δ cos ( 2 α + 4 β o ) Δ S 4 ) 2
Δ I = ( Δ C o ) 2 + ( 1 + cos δ 1 cos δ ( C 4 cos ( 2 α + 4 β o ) Δ C 4 ) 2 + ( S 4 cos ( 2 α + 4 β o ) Δ S 4 ) 2 ) 2 .
Δ θ = ( 0.5 C C 2 + M 2 ) 2 + ( 0.5 M C 2 + M 2 ) 2
Δ χ = 1 ( C 2 + M 2 + S 2 ) ( 0.5 C 2 + M 2 Δ S ) 2 + ( 0.5 M S C 2 + M 2 Δ M ) 2 + ( 0.5 C S C 2 + M 2 Δ C ) 2
Δ tan ( 2 θ ) = C M ( Δ C C ) 2 + ( Δ M M ) 2 .

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