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A theoretical framework in the spherical polar coordinate system is developedto systematically treat the correlation between intensity fluctuations (CIF) ofelectromagnetic light waves on scattering from a collection of particles of$\mathcal{L}$ types. Two $\mathcal{L}\times \mathcal{L}$ matrices calledpair-potential matrix (PPM) and pair-structure matrix (PSM) are introduced tojointly formulate the normalized CIF of the scattered field for the first time.We build a closed-form relation that associates the normalized CIF with the PPMand the PSM as well as the spectral degree of polarization $\mathcal{P}$ of theincident field, showing that the normalized CIF is closely related to the traceof the product of the PSM and the transpose of the PPM, and its dependence on$\mathcal{P}$ is completely determined by the scattering polar angle andazimuth angle. For a special case where the spatial distributions of scatteringpotentials of particles of different types are similar and the same is true oftheir density distributions, the PPM and the PSM will reduce to two newmatrices whose elements separately quantify the degree of angular correlationof the scattering potentials of particles and their density distributions, andthe number of species of particles in this special case appears as a scaledfactor to ensure the normalization of the CIF. The effects of the off-diagonalelements of the PPM and the PSM on the normalized CIF and its dependence on$\mathcal{P}$ are illustrated by two numerical examples.

Hanbury Brown-Twiss effect with electromagnetic scattered field generated by a collection of particles of $\mathcal{L}$ types