Homogeneous and Chiral Particles

The problem of scattering by isotropic, chiral spheres has been treated by Bohren [16], and Bohren and Huffman [17] using rigorous electromagnetic field-theoretical calculations, while the analysis of nonspherical, isotropic, chiral particles has been rendered by Lakhtakia et al. [135]. To accoimt for chirality, the surface fields have been approximated by left- and right-circularly polarized fields and the same technique is employed in our analysis. The transmission boundary-value problem for a homogeneous and isotropic, chiral particle has the following formulation. 

Given E, ffg as an entire solution to the Maxwell equations representing the external excitation, find the vector fields Es,Hs and Ei,Hi satisfying the Maxwell equations 

In addition, the vector fields must satisfy the transmission conditions (2.2) and the Silver-Muller radiation condition (2.3). 

Applications of the extinction theorem and Huygens principle yield the null-field equations (2.6) and the integral representations for the scattered field coefficients (2.16). Taking into account that the electromagnetic fields propagating in an isotropic, chiral medium can be expressed as a superposition of vector spherical wave functions of left- and right-handed type (cf. Sect. 1.3), we represent the approximate surface fields as 

The expressions of the elements of the Qlu u matrix are similar but with Afi and Afi in place of and N, respectively. It must be noted that in case the 

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