Subscript expresses the transverse plane, which is perpendicular to the axis. According to these, Maxwell’s equation can be expressed as17,18Display Formula
(3)where , , , and are quadratic functions of , and is a differentiating operator. By using plane wave expansion method, we can solve Eq. (3) to get internal electromagnetic field quantities and , and get and . Using the continuity conditions on the boundary, we can get scattered field (parallel component and perpendicular component ) Display Formula
(9)where and represent the radial and axial distances in the cylindrical coordinates, is the radius of the cylinder, is the refractive index and is the wave impedance of the ambient medium, is the wave number, is the angle between the direction of incident light and the direction of cylinder, and is the azimuth angle of the scattered light on the scattering cone. is the Bessel function, and , respectively, expressing the first and second kind of Hankel function.