“…However, over the past about fifteen years, in research on the mesoscale optics of gratings and dielectric particles of arbitrary three-dimensional shape [2][3][4][5][6] with q ~ (2π…20π), new unusual both nonresonant and resonant phenomena were discovered. Among them are: photonic nanojets (including acoustojets, plasmonic jet and plasmonic hook, terajets), structured fields in the form of single and double photonic hooks recently discovered by the authors, high-order Fano resonances [7][8][9][10][11] in the dielectric mesotronics, optical nanovortices 10,12 , effects of overcoming the diffraction limit, effects of the generation of giant magnetic and acoustic fields, flat focusing mirrors, anapoles [13][14][15][16][17] , superoscillation effects [18][19][20][21] and others. This short report gives a brief overview of some of this recently published phenomena [22][23] .…”