Half-cylinders and branch-cut response functions

Pitkonen, 2010, A closed-form solution for the polarizability of a double dielectric half-cylinder, Journal of Electromagnetic Waves and Applications, 24, 1267, 10.1163/156939310791586106 McPhedran, 1981, Electrostatic and optical resonances of cylinder pairs, Applied Physics A, 24, 311, 10.1007/BF00899728 Reuben, 1993, The polarizability of chains of touching cylinder pairs, Journal of Physics A: Mathematical and General, 26, 2021, 10.1088/0305-4470/26/8/023 Aubry, 2010, Plasmonic light-harvesting devices over the whole visible spectrum, Nano Letters, 10, 2574, 10.1021/nl101235d Luo, 2010, Surface plasmons and singularities, Nano Letters, 10, 4186, 10.1021/nl102498s Salandrino, 2007, Parallel, series, and intermediate interconnections of optical nanocircuit elements. 1. Analytical solution, Journal of the Optical Society of America B, 24, 3007, 10.1364/JOSAB.24.003007 Alu, 2007, Parallel, series, and intermediate interconnections of optical nanocircuit elements. 2. Nanocircuit and physical interpretation, Journal of the Optical Society of America B, 24, 3014, 10.1364/JOSAB.24.003014 Mohammadi Estakhri, 2012, Large absorption efficiency in ultralow loss Paley, 1993, Quasistatic optical response of pairs of touching spheres with arbitrary dielectric permeability, Journal of Applied Physics, 73, 3446, 10.1063/1.352947 Pitkonen, 2008, Polarizability of a pair of touching dielectric spheres, Journal of Applied Physics, 103, 104910, 10.1063/1.2930878 Poladian, 1991, Long-wavelength absorption in composites, Physical Review B, 44, 2092, 10.1103/PhysRevB.44.2092 Helsing, 2011, Spectral super-resolution in metamaterial composites, New Journal of Physics, 13, 115005, 10.1088/1367-2630/13/11/115005 Meixner, 1972, The behaviour of electromagnetic fields near edges, IEEE Antennas and Propagation, 20, 442, 10.1109/TAP.1972.1140243 Wallen, 2008, Surface modes of negative-parameter interfaces and the importance of rounding sharp corners, Metamaterials, 2, 113, 10.1016/j.metmat.2008.07.005 Hetherington, 1992, The conductivity of a sheet containing inclusions with sharp corners, Proceedings of the Royal Society A, 438, 591, 10.1098/rspa.1992.0128 Bonnet-Ben Dhia, 2012, T-coercivity for scalar interface problems between dielectrics and metamaterials, ESAIM: Mathematical Modelling and Numerical Analysis, 46, 1363, 10.1051/m2an/2012006 Bonnet-Ben Dhia, 2013, Radiation condition for a non-smooth interface between a dielectric and a metamaterial, Mathematical Models and Methods in Applied Sciences, 3, 32 Keller, 1964, Theorem on conductivity of composite medium, Journal of Mathematical Physics, 5, 548, 10.1063/1.1704146 Milton, 2002 Prudnikov, 1998 2010 1998