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Summary of the physical parameters used in simulations.
Source publication
In this work we present a method for generating random matrices describing electromagnetic scattering from disordered media containing dielectric particles with prescribed single particle scattering characteristics. Resulting scattering matrices automatically satisfy the physical constraints of unitarity, reciprocity and time reversal, whilst also...
Contexts in source publication
Context 1
... found that using a threshold value δ = 0.1 gave values of ∆L that satisfied our conditions. A summary of all the simulation parameters is given in Table 1, where each row corresponds to a different parameter set. For chiral particles, the presented mean free path is that calculated from Mie theory for an isotropic sphere with the same size parameter. ...Context 2
... each matrix ¯ S we computed the unitary approximation ¯ S as described in Section 2.3 and its associated transfer matrix ¯ M. To properly account for propagation along the z axis when cascading multiple slabs, we then pre-multiplied each of these transfer matrices by the constant matrix Λ ∆L ± . In total, we randomly generated pools of 10 4 transfer matrices for each parameter set for slabs with thicknesses as shown in Table 1. ...Context 3
... following results are for optically inactive spheres whose parameters are given in the first three rows of Table 1. Figure 1(a) shows the mean transmission eigenvalue τ = tr( ¯ t † ¯ t)/N , where tr denotes the trace operator and N is the size of the transmission matrix, as a function of medium thickness. ...Context 4
... following results are for chiral spheres, whose parameter sets are given in the final two rows of Table 1. For these particles, since the mean free path depends on the incident polarization state, to better illustrate the polarization dependence of the statistics of the scattered field we decided to normalize the medium thickness L by the mean free path calculated for an optically inactive sphere with the same size parameter. ...Context 5
... found that using a threshold value δ = 0.1 gave values of ∆L that satisfied our conditions. A summary of all the simulation parameters is given in Table 1, where each row corresponds to a different parameter set. For chiral particles, the presented mean free path is that calculated from Mie theory for an isotropic sphere with the same size parameter. ...Context 6
... each matrix ¯ S we computed the unitary approximation ¯ S as described in Section 2.3 and its associated transfer matrix ¯ M. To properly account for propagation along the z axis when cascading multiple slabs, we then pre-multiplied each of these transfer matrices by the constant matrix Λ ∆L ± . In total, we randomly generated pools of 10 4 transfer matrices for each parameter set for slabs with thicknesses as shown in Table 1. ...Context 7
... following results are for optically inactive spheres whose parameters are given in the first three rows of Table 1. Figure 1(a) shows the mean transmission eigenvalue τ = tr( ¯ t † ¯ t)/N , where tr denotes the trace operator and N is the size of the transmission matrix, as a function of medium thickness. ...Context 8
... following results are for chiral spheres, whose parameter sets are given in the final two rows of Table 1. For these particles, since the mean free path depends on the incident polarization state, to better illustrate the polarization dependence of the statistics of the scattered field we decided to normalize the medium thickness L by the mean free path calculated for an optically inactive sphere with the same size parameter. ...Similar publications
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