An analytical approach for the solution of the hydrodynamic diffraction by arrays of elliptical cylinders

Kagemoto, 1986, Interactions among multiple three-dimensional bodies in water waves: An exact algebraic method, Journal of Fluid Mechanics, 166, 189, 10.1017/S0022112086000101 Mavrakos, 1987, Hydrodynamic interaction among vertical axisymmetric bodies restrained in waves, Applied Ocean Research, 9, 128, 10.1016/0141-1187(87)90017-4 Spring BH, Monkmeyer PL. Interaction of plane waves with vertical cylinders. In: Proc, 14th int. conf. on coastal engineering, 107. 1974. p. 1828–49 Linton, 1990, Interaction of waves with arrays of vertical circular cylinders, Journal of Fluid Mechanics, 215, 549, 10.1017/S0022112090002750 Linton, 2001 Newman JN. Wave effects on multiple bodies. In: Hydrodynamics in ship and ocean engineering. Research institute for applied mechanics. Japan: Kyushu University; 2001. p. 3–26 McIver, 2002, Wave interaction with arrays of structures, Applied Ocean Research, 24, 121, 10.1016/S0141-1187(02)00034-2 Sebak, 1994, Electromagnetic scattering by two parallel dielectric elliptic cylinders, IEEE Transactions on Antennas and Propagation, 42, 1521, 10.1109/8.362785 Nigsch, 2007, Numerical studies of time-independent and time-dependent scattering by several elliptical cylinders, Journal of Computational and Applied Mathematics, 204, 231, 10.1016/j.cam.2006.01.041 Mao, 2008, Scattering by an infinite homogeneous anisotropic elliptic cylinder in terms of Mathieu functions and Fourier series, Journal of Optical Society of America A, 25, 2925, 10.1364/JOSAA.25.002925 Moon, 1971 Meixner, 1954 Særmark, 1959, A note on addition theorems for Mathieu functions, Zeitschrift für angewandte Mathematik und Physik, 10, 426, 10.1007/BF01601047 McLachlan, 1947 Abramowitz, 1970 Williams, 1985, Wave forces on an elliptic cylinder, Journal of Waterway, Port, Coastal and Ocean Engineering Division, 111, 433, 10.1061/(ASCE)0733-950X(1985)111:2(433) Williams, 1985, Wave diffraction by elliptical breakwaters in shallow water, Ocean Engineering, 12, 25, 10.1016/0029-8018(85)90009-5 Williams, 1988, Three dimensional wave scattering by elliptical breakwaters, Ocean Engineering, 15, 103, 10.1016/0029-8018(88)90022-4 Chatjigeorgiou IK, Mavrakos SA. Hydrodynamic diffraction by multiple elliptical cylinders. In: Proc 14th int. workshop on water waves and floating bodies. Zelonogorsk (Russia); 2009. p. 38–41 Mavrakos SA, Bardis L. Hydrodynamic characteristics of large offshore units. In: Proc 3rd imaem int congress on marine technology. Greece (Athens); 1984. p. 505–13