Generic optical singularities in Brewster-reflected postparaxial beam fields

Generic Optical Singularities and Beam-field Phenomena due to General Paraxial Beam Reflection at a Plane Dielectric Interface

“…Figure 2 clearly shows that the formation of a polarization singularity due to Brewster-reflection is seamlessly identified by considering θ i0 = θ B in the general condition of Eq. (5a) -which is a remarkable result, since this generalization has not been anticipated in the previous works [47][48][49]. Our entire work of Ref.…”

“…The formation of this node-singularity, however, can be explained in terms of a merger of two C-point singularities, as we have explained in our earlier work of Ref. [49].…”

“…Our entire work of Ref. [49] can thus be considered as a special-case analysis of the present work on generalized singularity generation due to paraxial beam reflection.…”

“…[47]; and subsequently, in Refs. [48] and [49] we have examined the formation and transitional dynamics of generic polarization singularities in a Brewster-reflected paraxial beam-field. In the present paper, we show that the June, 2022 above Brewster-reflection effects constitute a subset of a larger class of phenomena that occur due to any general central angle of incidence.…”

“…By appropriately configuring the input polarization, the above scheme can be generalized to create a polarization singularity anywhere in the beam-field. We derive the necessary condition to generate such a singularity in the beam-field for a general angle of incidence; and show that the above-mentioned Brewster-reflection effects [47][48][49] can be seamlessly derived as a special case of the obtained condition. Additionally, we interpret the σ− -polarized C-singularity as an attribution of an associated phase-singular σ+ -polarized field -and subsequently demonstrate the dynamics of these phase and polarization singularities due to controlled variations in the optical system.…”