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The radiative/scattering properties of cyanobacterial aggregates are crucialfor understanding microalgal cultivation. This study analyzed scattering matrixelements and cross-sections of cyanobacterial aggregates using the discretedipole approximation (DDA) method. The stochastic random walk approach wasadopted to generate a force-biased packing model for multicellular filamentouscyanobacterial aggregates. The effects of shape and size of multicellularcyanobacterial aggregates on their scattering properties were investigated bythis work. The possibility of invariance in the scattering properties wasexplored for cyanobacterial aggregates. The invariance interpretationintuitively represented the radiative property characteristics of theaggregates. The presented results show that the ratios of the matrix elementsof cyanobacterial aggregates are nearly shape, size, and wavelength invariant.The extinction and absorption cross-sections (EACSs) per unit volume were shapeand approximate size invariance of cyanobacterial aggregates, respectively. Theabsorption cross-section of aggregates is not merely a volumetric phenomenonfor aggregates that exceed a certain size. Furthermore, the absorptioncross-sections per unit volume are independent of the volumetric distributionof the microalgae cells. The invariance interpretation presents crucialcharacteristics of the scattering properties of cyanobacterial aggregates. Theexistence of invariance greatly improves our understanding of the scatteringproperties of microalgal aggregates. The scattering properties of microalgalaggregates are the most critical aspects of light propagation in the design,optimization, and operation of photobioreactors.

Quasi-invariance of scattering properties of multicellular cyanobacterial aggregates