  In this paper, we develop a theoretical analysis to efficiently handle
superpositions of waves with concentrated wavevector and frequency spectra,
allowing an easy analytical description of fields with interesting transverse
profiles. First, we analyze an extension of the paraxial formalism that is more
suitable for superposing these types of waves, as it does not rely on the use
of coordinate rotations combined with paraxial assumptions. Second, and most
importantly, we leverage the obtained results to describe azimuthally symmetric
waves composed of superpositions of zero-order Bessel beams with close cone
angles that can be as large as desired, unlike in the paraxial formalism.
Throughout the paper, examples are presented, such as Airy beams with enhanced
curvatures, nonparaxial Bessel-Gauss beams and Circular Parabolic-Gaussian
beams (which are based on the Cartesian Parabolic-Gaussian beams), and
experimental data illustrates interesting transverse patterns achieved by
superpositions of beams propagating in different directions.
