1993
DOI: 10.1364/ao.32.002164
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T-matrix approach for calculating local fields around clusters of rotated spheroids

Abstract: A T-matrix formalism is used to calculate local electric fields around clusters of prolate spheroids in the long-wavelength regime. The calculations are performed as a function of interparticle distance as well as angle of orientation. The observed red shifts in the resonant wavelengths of the characteristic peaks are shown to obey an exponential relationship as a function of interparticle separation and a sinusoidal relationship as a function of angle of rotation of the spheroid. The behavior of the cluster i… Show more

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Cited by 10 publications
(7 citation statements)
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References 20 publications
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“…However, it has so far been unclear whether this approach can be employed to describe light scattering from whole blood, with an inter-particle distance estimated to approximately three times the RBC radius (center to center). By comparing the far field originating from a single sphere, or spheroid on the one hand and from bispheres, or clusters of spheroids on the other, Mishchenko et al [23] and Vargas et al [37] have shown that for a center-to-center inter-particle distance of more than four times the maximum radius, yields independent scattering, when the axial ratios of the scattering objects are unity, or close to unity, and the size of the particles is small. However, it is difficult to draw any firm conclusions concerning the light scattering by highly asymmetric, large RBCs from their results.…”
Section: Discussionmentioning
confidence: 99%
“…However, it has so far been unclear whether this approach can be employed to describe light scattering from whole blood, with an inter-particle distance estimated to approximately three times the RBC radius (center to center). By comparing the far field originating from a single sphere, or spheroid on the one hand and from bispheres, or clusters of spheroids on the other, Mishchenko et al [23] and Vargas et al [37] have shown that for a center-to-center inter-particle distance of more than four times the maximum radius, yields independent scattering, when the axial ratios of the scattering objects are unity, or close to unity, and the size of the particles is small. However, it is difficult to draw any firm conclusions concerning the light scattering by highly asymmetric, large RBCs from their results.…”
Section: Discussionmentioning
confidence: 99%
“…(15) and (16), and this can apparently can only be done if the smallest circumscribing spheres around each scatterer do not overlap. Lastly we point out that, contrary to Cruz et al [22,23], who used the global T-matrix approach and consequently were limited to evaluating the local field intensity outside the smallest circumscribing spheres of the entire system, the use of the centered T-matrix formalism allows one to readily calculate the field at any point of space outside of the smallest circumscribing sphere of each scatterer [24].…”
Section: Orientation Average Expression Of the Total External Fielmentioning
confidence: 92%
“…The first one results from the broad bandwidth required for the compensator (20 nm), which would require an extremely small grating length. Linearly chirped gratings can alleviate this inconvenience, because the filter bandwidth increases with the grating length [8]. Nevertheless, the actual fabrication possibilities would require one to place at least two gratings in series in order to obtain a 20-nm-bandwidth notch filter.…”
Section: Equalizer Designmentioning
confidence: 99%
“…The second drawback is that these gratings present an undesired spectral side lobe that can compromise the equalizer performance. Fortunately, these can be greatly suppressed by apodizing the fiber gratings [8]. In our case we propose a Blackman apodization, because its fabrication with high-quality spectral characteristics has been recently demonstrated [7].…”
Section: Equalizer Designmentioning
confidence: 99%