Scattering theory multipole

First of all, why are the electromagnetic properties of molecules worth investigation There are generally two reasons, the first of which is to enable one to calculate experimentally useful quantities in order to make new predictions apart from multipoles and polarizabilities themselves there are quantities that arise in the theory of the interaction between radiation and matter it is trite but true to say that the whole of spectroscopy and of light scattering depend on electromagnetic properties. In many... 

Some time ago we contributed to the development of the irreducible spherical tensor multipolar theory of light scattering [13,28], According to Ref. 13, the M component of the A th-rank dipole-arbitrary order multipole linear polarizability of a pair of interacting molecules A and B reads as... 

When induction operators of high-order multipoles are taken into account intensity calculations tend to become very cumbersome [30,31]. We propose a relatively easy way of performing these calculations using the irreducible spherical tensor theory of multipole light scattering [e.g., Eqs. (6) and (7)] together with symbolic calculations of the Wigner coefficients by computer. 

For particles not small compared with the wavelength, the interaction properties must be found by solving a complicated boundary-value problem for the electric and magnetic fields. For spherical particles, this theory is well established and the scattering and extinction cross sections are calculated from the multipole expansions. 

As mentioned earlier, the theory of optical absorption of small particles was proposed by Mie in 1908 [6[. Mie s electrodynamic solution to the problem of light interacting with particles involved solving Maxwell s equations with appropriate boundary conditions and leads to a series of multipole oscillations for the extinction (Cext) and scattering (Cgca) cross-sections of the nanoparticles. Thus... 

In 1908, Mie presented a solution to the Maxwell equations that described the extinction spectra of spherical particles of arbitrary size (10). This theory is the only simple exact solution to Maxwell s equations that is relevant to particles, and remains of great interest to this day. The extinction coefficient is taken as the sum over all electric and magnetic multipole oscillations contributing to the absorption and scattering of the interacting magnetic field . This is the simplest theoretical model and is given by the equation... 

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