Wave-transition contribution to the Faraday effect and Verdet constant

The Faraday Effect is a magnetooptical phenomenon in physics describing the interaction of light and magnetic fields in a medium. A parameter that indicates the interaction is the Verdet constant. In this research, Verdet constant was measured on cooking oil that has been used several times. Magneto-optical properties were measured using the polarimetry method, which uses a He-Ne Laser beam with a magnetic field treatment of 50 gauss, 80 gauss and 100 gauss. The samples analyzed were bulk and non-bulk cooking oil. Repeated use of cooking oil causes a change in the polarization axis of the polarized laser. This has an impact on the Verdet constant of the material. The difference in the Verdet constant shows that the Verdet constant can be used as an indicator of cooking oil that has been used up to three times.

Materials with magneto-optic (MO) properties have enabled critical fiber-optic applications and highly sensitive magnetic field sensors. While traditional MO materials are inorganic in nature, new generations of MO materials based on organic semiconducting polymers could allow increased versatility for device architectures, manufacturing options, and flexible mechanics. However, the origin of MO activity in semiconducting polymers is far from understood. In this paper, we report high MO activity observed in a chiral helical poly-3-(alkylsulfone)thiophene (P3AST), which confirms a new design for the creation of a giant Faraday effect with Verdet constants up to (7.63 ± 0.78) × 104 deg T-1 m-1 at 532 nm. We have determined that the sign of the Verdet constant and its magnitude are related to the helicity of the polymer at the measured wavelength. The Faraday rotation and the helical conformation of P3AST are modulated by thermal annealing, which is further supported by DFT calculations and MD simulations. Our results demonstrate that helical polymers exhibit enhanced Verdet constants and expand the previous design space for polythiophene MO materials that was thought to be limited to highly regular lamellar structures. The structure-property studies herein provide insights for the design of next-generation MO materials based upon semiconducting organic polymers.

To develop high‐performance magneto‐optical chalcogenide glasses and clarify the mechanisms of the Verdet constant, a series of GeS2–Sb2S3–PbI2 chalcogenide glasses were designed and fabricated, and their Faraday effects were investigated at a wavelength of 980 nm. A new parameter, that is, average polarizability, was proposed, and the results show that the Verdet constant has a good linear relationship with average polarizability, meaning that the Verdet constant of a chalcogenide glass can be directly estimated by its chemical constituents. The Verdet constant is as large as 0.200 min G−1 cm−1 at 980 nm for 22.5GeS2–67.5Sb2S3–10PbI2 composition glass, which is the largest value reported thus far for sulfide glasses; this glass also possesses good thermal and optical properties and therefore might be an attractive candidate for mid‐infrared magneto‐optical device applications.

采用高温熔融法制备了高Tb3＋离子含量的GeO2-B2O3-SiO2系统磁光玻璃,测试了其Verdet常数和发光性能,探究了玻璃的Faraday效应、发光性能及光学碱度。研究结果表明：Verdet常数和光学碱度均随着Tb2O3含量的增加而线性增大,当Tb2O3摩尔分数为70%时,Verdet常数达到-5 000 min·T^-1·cm^-1（632.8nm）,所有磁光玻璃样品随Tb2O3含量变化均发出明亮的黄绿光。由于浓度猝灭效应,高Tb2O3含量缩短了Tb^3＋离子间距,增强了交叉弛豫效应,降低了发光强度和荧光寿命。

Optical current sensors (OCSs) are initially developed to measure relatively large current over a wide range of frequency band. They are also used as protective devices in the event a fault occurs due to a short circuit, in the power generation and distribution industries. The basic principal used in OCS is the Faraday effect. When a light guiding faraday medium is placed in a magnetic field which is produced by the current flowing in the conductor around the magnetic core, the plane of polarization of the linearly polarized light is rotated. The angle of rotation is proportional to the magnetic field strength, proportionality constant and the interaction length. The proportionality constant is the Verdet constant V (λ, T), which is dependent on both temperature and wavelength of the light. Opto electrical methods are used to measure the angle of rotation of the polarization plane. By measuring the angle the current flowing in the current carrying conductor can be calculated. But the accuracy of the OCS is lost of the angle of rotation of the polarization plane is dependent on the Verdet constant, apart from the magnetic field strength. As temperature increases the Verdet constant decreases, so the angle of rotation decreases. To compensate the effect of temperature on the OCS, a new method has been proposed. The current and temperature are measured with the help of a duel frequency method. To detect the line current in the conductor or coil, a small signal from the line current is fed to the reference of the lock in. To detect the temperature, the coil is excited with an electrical signal of a frequency different from the line frequency, and a small sample of this frequency signal is applied to the reference of the lock in. The temperature and current readings obtained are look up at the database value to give the actual output. Controlled environment is maintained to record the values in the database that maps the current and temperature magnitude values at the DSP lock in amplifier, to the actual temperature and current. By this method we can achieve better compensation to the temperature changes, with a large dynamic range and better sensitivity and accuracy.

Faraday rotation, the rotation of the polarization of light due to a magnetic field in the direction of propagation of the light, is used in applications ranging from quantum memory to the detection of biomagnetic fields. For these applications large Faraday rotation is necessary, but absorption of light is detrimental. In search of these properties, we have characterized the Verdet constant of a so far unexplored class of mesogenic organic molecules. We report their spectra and provide an interpretation. A Verdet constant of almost 2.5 × 105 deg T–1 m–1 is found around 520 nm. This Verdet constant is 3 orders of magnitude larger than the largest known for organic molecules in a region without spectral features. We attribute this enormous Faraday rotation to resonant enhancement by a triplet excitation that does not appear in the linear absorption spectrum and to near-resonant enhancement by low-energy singlet excitations. Furthermore we are able to switch the Faraday rotation by changing the liquid cryst...

Large Faraday Rotation in Pyrolysis Synthesized Carbon Dots

The wavelength dispersions in the Faraday effect of 60ZrF4·30BaF2·10LnF3 glasses (Ln=La, Ce, Pr, Tb and Dy) are examined. Glass containing LaF3 has a positive Verdet constant in the wavelength region from 350 to 850 nm, and the magnitude of the Verdet constants decreases with increasing wavelength. In contrast, the Verdet constants of glasses containing other rare-earth ions are negative, and the absolute magnitude of the Verdet constants decreases with increasing wavelength. The effective transition wavelengths of glasses containing paramagnetic rare-earth ions have been calculated using the Van Vleck and Hebb theory. Factors determining the Verdet constants of these glasses are discussed.

Concentration-wavelength dependence of magneto-optical properties in Tb3+-doped BGAP Glass

Mixed samarium valences effect in Faraday rotation glasses: Structure, optical, magnetic and magneto-optical properties

Optical nonlinear, EPR, second harmonic generation and Faraday rotation studies on diamagnetic solid: Influence of thermal poling

Faraday effect measurements of holmium oxide (Ho2O3) ceramics-based magneto-optical materials, highly potential material candidates for high-energy laser Faraday isolators, are presented in this paper. Temperature dependence of the Verdet constant of nondoped Ho2O3 ceramics was measured for temperatures 15–305 K at $1.064~\unicode[STIX]{x03BC}\text{m}$ wavelength. The Verdet constant dispersion for wavelengths 0.5–$1~\unicode[STIX]{x03BC}\text{m}$ and $1.064~\unicode[STIX]{x03BC}\text{m}$ was measured for both nondoped Ho2O3 ceramics and Ho2O3 ceramics doped with terbium Tb3+ (0.2 at. %) and cerium Ce3+ (0.1 at. %) ions. The results suggest that the relatively low level of doping of Ho2O3 with these ions has no significant boosting impact on the Faraday effect. Therefore, other compositions of Ho2O3 ceramics-based magneto-optical materials, as well as various doping concentrations, should be further examined.

Pure TeO2 glass: Influence of synthesis conditions on linear and non-linear optical, magneto-optical and structural properties

Numerical analysis of magnetic field measurement based on Faraday rotation in a no-core tellurite fiber

Heavily-doped and fully concentrated 2.78 % Tb:Y2O3 and Tb2O3 single crystals with high optical quality and very low levels of impurities have been grown and studied for their luminescence and Faraday rotation properties. Absorption, emission and fluorescence decay measurements performed vs excitation wavelength and temperature and their confrontation with Judd-Ofelt and crystal-field calculations show the contributions of two types of luminescent centers: dominant ones with a 5D4 emission lifetime of 23 μs corresponding to coupled near-neighbor Tb3+ ions, all in C2 symmetry sites, and minority ones with a 5D4 emission lifetime of about 2 ms corresponding to coupled Tb3+ ions in C2 and C3i near-neighbor symmetry sites. Faraday rotation measurements confirm Tb2O3 as the Tb-based Faraday crystalline material with the largest ever measured Verdet constant, at all temperatures and from the visible to the near-infrared. They also show that the dominant luminescent centers contribute more particularly to this large Verdet constant thanks to a favorable crystal-field splitting of their 7F6 ground multiplet and also to the contributions of both types of spin-allowed and spin-forbidden 4f-5d absorption bands.