Green's Function Formalism of Holography with Arbitrary Mass, Spin, and Dimensionality

TL;DR

This paper develops a Green's function approach to holography applicable to various wave types and dimensions, analyzing aberrations through simulations, thus providing a versatile mathematical framework for hologram production and reading.

Contribution

It introduces a generalized Green's function formalism for holography with arbitrary wave types and dimensions, expanding theoretical understanding.

Findings

Simulations reveal aberration patterns in 2D scalar wave holography.

The formalism accommodates different wave types like electromagnetic and acoustic.

Provides a foundation for optimizing hologram quality across various applications.

Abstract

In this work we present a mathematical description of how one can produce and read a thin hologram. We use different kinds of waves, such as scalar, vector (electromagnetic field, Maxwell-Proca fields, acoustic waves, etc.). For reading of the hologram, we use the Green's function formalism. With the help of computer simulations, we investigate the aberrations created by this procedure for the simplest case: 2d-scalar wave case.