In Jackson Classical Electrodynamics (P. 498)
Eqs 10.130 and 10.132, which describes waves from a conducting sphere at short wave length limit, seem to be derived using
k(reflected wave vector)-k0(incoming plane wave vector)=|k|*sin(theta)*surface normal vector
instead of k-k0=2sin(theta/2)*surface normal vector
If one uses k-k0=2sin(theta/2)*nr then Eq.(10.132) should have a factor of 1/cos(theta/2).
Any help will be highly appreciated!!
Ray
Eqs 10.130 and 10.132, which describes waves from a conducting sphere at short wave length limit, seem to be derived using
k(reflected wave vector)-k0(incoming plane wave vector)=|k|*sin(theta)*surface normal vector
instead of k-k0=2sin(theta/2)*surface normal vector
If one uses k-k0=2sin(theta/2)*nr then Eq.(10.132) should have a factor of 1/cos(theta/2).
Any help will be highly appreciated!!
Ray