摘要
We show that psi = R(xi) S(eta) e(im phi), a product of radial and angular oblate spheroidal functions and an azimuthal factor, cannot represent physical free-space scalar beams. The reason lies in the discontinuity in the longitudinal derivative of psi in the focal plane, where psi is not a solution of the Helmholtz equation on the disc xi = 0.
- 出版日期2011-8