Magneto-optic polar Kerr and Faraday effects in periodic multilayers

Višňovský, Š.; Postava, Kamil; Yamaguchi, Tomuo

doi:10.1364/oe.9.000158

Cited by 28 publications

(21 citation statements)

References 20 publications

(23 reference statements)

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“…(8)-(10) we note that for zero birefringence the transfer matrix becomes block diagonal and reproduces the results obtained in Ref. [20] for circularly polarized eigenmodes.…”

Section: One-dimensional Birefringent Magnetophotonic Crystalsupporting

confidence: 87%

See 1 more Smart Citation

Band structure and Bloch states in birefringent one-dimensional magnetophotonic crystals: an analytical approach

Levy

Jalali

2007

J. Opt. Soc. Am. B

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An analytical formulation for the band structure and Bloch modes in elliptically birefringent magnetophotonic crystals is presented. The model incorporates both the effects of gyrotropy and linear birefringence generally present in magneto-optic thin film devices. Full analytical expressions are obtained for the dispersion relation and Bloch modes in a layered stack photonic crystal and their properties are analyzed. It is shown that other models recently discussed in the literature are contained as special limiting cases of the formulation presented herein.

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“…(8)-(10) we note that for zero birefringence the transfer matrix becomes block diagonal and reproduces the results obtained in Ref. [20] for circularly polarized eigenmodes.…”

Section: One-dimensional Birefringent Magnetophotonic Crystalsupporting

confidence: 87%

“…band structures using the full form of the B matrix in eigenvalue Eq (20). and compared with the analytic expression Eq.…”

mentioning

confidence: 99%

Band structure and Bloch states in birefringent one-dimensional magnetophotonic crystals: an analytical approach

Levy

Jalali

2007

J. Opt. Soc. Am. B

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“…One-dimensional magnetophotonic crystals (1D MPCs) are very attractive systems not only for practical applications [1][2][3][4], but also for theoretical and numerical studies [5][6][7][8][9][10][11][12][13][14][15][16]. The advantage of 1D systems is that they can be solved analytically within some approximations.…”

Section: Introductionmentioning

confidence: 99%

Light transport in one-dimensional arrays of infinitesimal magnetoactive dielectric sheets: Theory and numerical simulations

Gasparian¹,

Gevorkian²,

Barco³

2013

Phys. Rev. A

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We have provided a complete description of light propagation at an oblique angle of incidence in disordered one-dimensional (1D) ultrathin magnetophotonic crystals with an arbitrary number of sheets. We have shown that in the long-wavelength limit, when the parameter d L,R λ is much less than unity (L,R is the relative permittivity for left-and right-polarized light, d is the thickness of the sheet, and λ is the wavelength), the photon transport problem in a 1D magnetophotonic crystal is identical to Anderson's two-channel model. In our discussion we include mode conversion and derive exact and closed analytical expressions for all scattering matrix elements. We have calculated the Faraday and Kerr rotational angles for a periodic system. Our formulas predict correctly the main trends of magneto-optic effects in 1D systems. We also derived analytical expressions for photon localization lengths, in a weak disordered regime, for s and p modes and for circular polarized light. We demonstrate that the presence of coupling modes enhances ξ s and reduces ξ p with respect to the values ξ s (0) and ξ p (0) obtained when the coupling modes are absent. Presented analytical expressions for localization lengths are in good agreement with numerical calculations, exact up to order δ 2 (δ being the disorder strength), and valid up to angles of incidence of 1.56 rad.

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“…There has been significant technological progress in the use of magnetic multilayer materials as optical rotators [23], including theoretical studies of structures incorporating one or more anomalous "defect" layers within an otherwise quarterwavelength stack [24][25][26][27]. These one-dimensional magnetooptic crystals (1D-MO-PCs) have typically been modeled and/or measured using various multilayer configurations consisting of one or two distinct dielectric species (A; B) and/or one or two magnetic species (M), typically iron garnet and other magnetically enhanced materials layered with inorganic dielectric glasses.…”

Section: Experiments a Materials And Processesmentioning

confidence: 99%

Role of group velocity delay in Faraday rotation in a multilayer polymer lattice

et al. 2012

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We measure and model the spectral dependence of Faraday rotation in one-dimensional lattice structures composed of co-extruded alternating polymer layers of polymethylmethacrylate and polystyrene. We develop a theory that shows that the net Faraday rotation in a symmetric multilayer system is determined not by the total thickness of the constituent materials but by the time spent in each constituent material as measured by the overall group velocity delay of the structure and the relative energy distribution per material. We compare measured and computed Faraday rotation spectra for these films to theoretical predictions, taking into account ellipticity as well as layer thickness variations and finite spectral width detection. To measure rotations of these thin, nonmagnetic, weak Faraday rotators, we constructed and optimized an apparatus capable of measuring broadband Faraday rotation spectra at 0.001°resolution for rotation angles as small as 0.002°.

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Magneto-optic polar Kerr and Faraday effects in periodic multilayers

Cited by 28 publications

References 20 publications

Band structure and Bloch states in birefringent one-dimensional magnetophotonic crystals: an analytical approach

Band structure and Bloch states in birefringent one-dimensional magnetophotonic crystals: an analytical approach

Light transport in one-dimensional arrays of infinitesimal magnetoactive dielectric sheets: Theory and numerical simulations

Role of group velocity delay in Faraday rotation in a multilayer polymer lattice

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