  A nodal surface semimetal (NSSM) features symmetry enforced band crossings
along a surface within the three-dimensional (3D) Brillouin zone. The
topological robustness of the same does not always come with nonzero Berry
fluxes around nodal surfaces. Irrespective of that, however, light irradiation
on such system can result in interesting dynamic behavior. We find that
depending on the state of polarization, one can obtain additional Weyl points/
nodal surfaces in the Floquet Hamiltonian that the time periodic system gives
rise to. For simplicity we only consider two band spinless models without any
spin orbit coupling, the main emphasis being to understand the low energy
behavior close to the band crossings and its evolution in a Floquet system in
the high frequency limit. There we find the nodal surfaces to perish or get
duplicated or triplicated for different polarization scenario or different NSSM
Hamiltonians. One findings open up important directions on what out of
equilibrium NSSM systems has to offer in many active fields including quantum
computations.
