On the Scattered Reflection of Electromagnetic Waves
On the Scattered Reflection of Electromagnetic Waves
Vic Twersky
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i - Superscript or subscript character! ?ing the Incident wave, r - Superscript or subscript character! 7ing the total reflected wave. p - Superscript or subscript characterizing the specularly reflected rave components, c, 8 - Superscript or subscript characterizing the scattered components of the total reflected wave for the (semi) cylindrical and (hemi) spherical cases re- spectively. A, B, - Arbitrary constants (determined from proscribed initial conditions) that specify the polarization pa...rallel and perpendicular to the plane of incidence. II', II" - Vector Hertz potentials of the electric and magnetic type respectively. y^yw _ scalar components of the Hertz potentials, K = Kn = (27T/71 )n = (ou/cjfi" - Propagation vector (the symbol^ denotes the unit vector) . o(, Q, - Angles of incidence, i, i, k - Unit rectangular coordinate vectors, R = r(cos 9 i + sin 8 j)+ zk - Position vector in cylindrical coordinates . A 1, B* - Constants introduced for brevity. a - Radius of the boss. £ n - Neumann's factor: € n - 1 if n-0, £ n = 2ifn>0 J - Bessel functions, n B_ - Hankel functions of the first kind, Z n - Derivatives of the cylindrical functions with respect to their arguments.
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