  In this work we propose a deep neural network based surrogate model for a
plasma shadowgraph - a technique for visualization of perturbations in a
transparent medium. We are substituting the numerical code by a computationally
cheaper projection based surrogate model that is able to approximate the
electric fields at a given time without computing all preceding electric fields
as required by numerical methods. This means that the projection based
surrogate model allows to recover the solution of the governing 3D partial
differential equation, 3D wave equation, at any point of a given compute domain
and configuration without the need to run a full simulation. This model has
shown a good quality of reconstruction in a problem of interpolation of data
within a narrow range of simulation parameters and can be used for input data
of large size.
