“…The established analytical models of the LIM typically express the excitation currents in the primary coils as infinitely thin current sheet (Nasar and Boldea, 1976; Yamamura, 1979; Freeman and Lowther, 1973; Mosebach et al , 1977; Pierson et al , 1977; Freeman and Papageorgiou, 1978; Gieras et al , 1985; Gieras et al , 1986; Mendrela and Gierczak, 1982). However, in recent decades, LIM modeling and analysis started relying more on finite element analysis (FEA) simulations, such as in studies by Lee et al (2009); Shiri and Shoulaie (2012); Singh et al (2013); Amiri and Mendrela (2014); Abdollahi et al (2015); Jeong et al (2015), instead of analytical solutions. The analytical approach presented here is similar, in particular, to the work first presented by Freeman and Papageorgiou (1978) and Mendrela and Gierczak (1982), where models of the LIM with current sheet finite primary excitations were presented using Fourier transforms and series methods, respectively.…”