Time-dependent magneto-optical transmission maximization and determination of critical concentration of the delocalization-localization transition

This study leads novel approaches to overcome cluster induced magnetic field formation and the associated reduced light transmission beyond a certain critical magnetic field utilizing the ring morphology and time-varying magnetic field. This hypothesis is challenged by the fabrication of large size ferromagnetic, hematite nanoring and nanodisk samples to increase the coupling constant and the interparticle interactions. The nanoring sample transmission outperformed the nanodisk one by 40–50 % under 0.5 mT, 1–5 kHz time-varying magnetic fields, 12 % in the uniform 0–6.5 mT field, and 27 % in the 40x greater gradient field amplitude by Neodymium magnet. Furthermore, the dominant literature view of the dynamics of optical transmission through ferrofluids is corrected. Moreover, the decrease in the optical transmission in the 350–450 nm band is justified in terms of localization, which is found to occur beyond a certain critical concentration, described by the proposed, experimentally verified power law utilizing the results of the renormalization group equation and scaling theory, for the first time. Therefore, challenging limitation of restriction to their qualitative utilization and non-observable quantities besides the previously doubted matching between the method of invariant imbedding and the renormalization group equation have been all resolved, which is crucial for the entire field of complex media.