Angular spectrum and localized model of Davis-type beam

Abstract

The angular spectrum of the Davis fifth-order linearly polarized, dual, and symmetrized fields of a focused Gaussian laser beam is obtained. Since the original Davis fields are not an exact solution of the vector wave equation and Maxwell's equations, a beam remodeling procedure within the angular spectrum is described that produces an exact solution. The spherical multipole beam shape coefficients of the remodeled beam are then obtained, and it is shown that in the weak focusing limit they simplify to the localized model Gaussian beam shape coefficients for both on-axis and off-axis beams. The angular spectrum method is then applied to a transversely confined electromagnetic beam with arbitrary profile in the focal plane, and to a general zero-order Bessel beam.

On the description of electromagnetic arbitrary shaped beams: The relationship between beam shape coefficients and plane wave spectra

“…This is solved exactly in the same way as for Problem 15. The case of Gaussian beams was however also recently examined in the framework of the Davis beam formulation [54].…”

“…x ðk x ; k y Þ and S E y ðk x ; k y Þ is that they can be taken as independent basic components from which the electric spectral z-component and all components of the magnetic spectral vector S H can afterward be obtained by using Maxwell's equations as demonstrated below, see [54].…”

On the electromagnetic scattering of arbitrary shaped beams by arbitrary shaped particles: A review

“…The other spectral component S E z and the components of the magnetic spectral vector S H i (i = x, y, z) can be obtained using Maxwell's equations, as used in [37] and exhaustively described in the companion paper [17].…”

“…A procedure was described that minimizes the standing wave contribution. In [37] an angular spectrum of plane waves was obtained for the Davis fifth-order focused Gaussian beam and a zero-order electromagnetic Bessel beam. The angular spectrum of the Davis beam was remodeled so that it now satisfies Maxwell's equations and the vector wave equation, whereas the original Davis approximation did not.…”

Latest achievements in generalized Lorenz‐Mie theories: A commented reference database

“…An attractive feature of this beam (this class) is the description of strongly focused (or strongly divergent) EM‐optical wave fields for , where k is the wave number. Lock discussed the angular spectrum of plane waves for the Davis fifth‐order focused Gaussian beam , and for a zero‐order electromagnetic Bessel beam. The angular spectrum of the Davis beam was remodeled so that it now satisfied Maxwell's equations and the vector wave equation, whereas the original Davis approximation did not.…”