Photonic nanojet-induced modes (NIMs) have emerged as a new paradigm for understanding the optical properties of
chains of dielectric microspheres with wavelength-scale diameters (D≤10λ). Here we show that light focusing and
transport properties of chains of submillimeter spheres (D>100λ) are dominated by periodically focused modes (PFMs)
which can be considered a geometrical optics analog of NIMs. We review recent geometrical optics results on this
subject showing that Brewster angle conditions for TM polarized rays can be periodically reproduced in chains of
spheres with index n= √3 =1.73205... giving rise to lossless PFMs with the 2D period. In this work we studied the
phase properties of PFMs using a novel method based on Fourier analysis of the high resolution transmission spectra of
chains of submillimeter ruby spheres with n~1.75 at λ=1.2 μm. We demonstrated that PFMs are the best surviving modes
in long chains of spheres. Finally, we considered applications of PFMs for focusing multimodal beams in ultra-precise
laser surgery.
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