Abstract:We present experimentally determined scattering matrix elements of birefringent rutile particles in water as a function of the scattering angle for a wavelength of 633 nm ͑in air͒. These elements are compared with the results of T-matrix calculations for prolate spheroids. For the diagonal matrix elements the results of the T-matrix calculations are in good agreement with those of the measurements. A good fit for the whole matrix, including the off-diagonal elements, is obtained when we compensate for the bire… Show more
“…The measurements were performed at 632.8 nm. The experimentally determined scattering matrix elements of a rutile sample in water have already been published by Volten et al (1999). In this paper we present measurements of a similar sample of rutile particles dispersed in air.…”
We present measurements of the complete scattering matrix as a function of the scattering angle of randomly oriented irregular hematite and rutile particles. The measurements were made at a wavelength of 632.8 nm in the scattering angle range from 5-174 degrees. Apart from their astronomical interest, these two samples are extremely interesting from a theoretical point of view, because they both have high real parts of the refractive index (about 3.0 for the hematite and 2.73 for the rutile). In addition, the hematite sample has a high imaginary part of the refractive index k, with values between 10 −1 and 10 −2 , whereas rutile is a non-absorbing material (k ≈ 0) at the studied wavelength. The scattering patterns of these mineral particles are quite similar to each other but show remarkable differences when compared to the results obtained for irregular mineral particles with moderate real parts of the refractive index. The measured results for both samples were compared with results of Mie calculations for projected surface equivalent spheres and T-matrix calculations for various spheroidal and cylindrical shapes. Both the experimental and theoretical results presented in this work seem to indicate that the scattering behavior of irregular mineral particles that have a high real part of the refractive index is not very dependent on the shape of the particles. In this case, Mie theory may give reasonable results despite the irregular shapes of the particles.
“…The measurements were performed at 632.8 nm. The experimentally determined scattering matrix elements of a rutile sample in water have already been published by Volten et al (1999). In this paper we present measurements of a similar sample of rutile particles dispersed in air.…”
We present measurements of the complete scattering matrix as a function of the scattering angle of randomly oriented irregular hematite and rutile particles. The measurements were made at a wavelength of 632.8 nm in the scattering angle range from 5-174 degrees. Apart from their astronomical interest, these two samples are extremely interesting from a theoretical point of view, because they both have high real parts of the refractive index (about 3.0 for the hematite and 2.73 for the rutile). In addition, the hematite sample has a high imaginary part of the refractive index k, with values between 10 −1 and 10 −2 , whereas rutile is a non-absorbing material (k ≈ 0) at the studied wavelength. The scattering patterns of these mineral particles are quite similar to each other but show remarkable differences when compared to the results obtained for irregular mineral particles with moderate real parts of the refractive index. The measured results for both samples were compared with results of Mie calculations for projected surface equivalent spheres and T-matrix calculations for various spheroidal and cylindrical shapes. Both the experimental and theoretical results presented in this work seem to indicate that the scattering behavior of irregular mineral particles that have a high real part of the refractive index is not very dependent on the shape of the particles. In this case, Mie theory may give reasonable results despite the irregular shapes of the particles.
“…Scattering measurements on the complete Mueller matrix have been performed by Volten et al on prolate birefringent rutile particles (size roughly 220 nm) [109] and by Kaplan et al [110] for spherical PS colloids (2R = 400…3000 nm). While the detailed scattering properties are of interest by themselves, there is only limited know-how on the inverse problem to learn something about the particles and their interfaces from such scattering measurements with maximum polarization information.…”
The broad range of interface light scattering investigations in recent years shows the power and the versatility of these techniques to address new and open questions in colloid and interface science and the soft condensed matter field. Structural information for polymers, liquid crystals, or colloids close to planar or spherical colloidal interfaces are either captured with long range light scattering resolution, or in a complementary approach by high resolution ellipsometric techniques. Of special interest is the dynamic behavior close to or in interfaces, since it determines material properties and responses to external fields. Due to the broad dynamical range and the high scattering contrast for visible light, interface light scattering is a key to elucidate soft matter interfacial dynamics. This contribution reviews experimental and related theoretical approaches for interface light scattering and further gives an overview of achievements based on such techniques.
“…It contains sharp forward scattering lobe followed by two intense scattering peaks at around 90º and 170º (near backscattering). We performed T-matrix calculation by using the values for the parameters obtained from SEM and arithmetic mean of the literature values for refractive indices [3,5]. Some important parameters used in the T-matrix calculation are tabulated in Table 1.…”
Section: Resultsmentioning
confidence: 99%
“…It is worth mentioning that a number of different theoretical and experimental studies have been carried out in the past to investigate the scattering behavior of rutile TiO 2 particles. Measurements of the elements of the scattering matrix of water droplets were performed by H. Volten and his coworkers with a sophisticated, fully computerized setup [5]. Light scattering by rutile particles are also studied theoretically by applying established theories like T-matrix [3,5], finite element method [6] etc.…”
A laser based light scattering system has been designed and fabricated for measuring the scattering properties of ultrafine TiO 2 particles as a function of scattering angle at the He-Ne laser wavelength 632.8 nm. The system essentially consists of an array of 16 highly sensitive static Si detectors (BPW34) which can measure scattered light signals from 10 degrees to 170 degrees in steps of 1 degree. The signals are interfaced to a high gain 16 channel preamplifier and a dedicated data acquisition system (Vinytics PCI-9812) for data analysis. The measured scattering properties of rutile (TiO 2 ) particles agree reasonably well with the theoretical results drawn from T-matrix calculations.
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