Three-dimensional imaging of a pattern localized in a phase space

TL;DR

This paper demonstrates a novel method for three-dimensional imaging of a pattern localized in phase space, using atomic vapor and velocity selective techniques, surpassing conventional lens-based imaging limitations.

Contribution

It introduces a new experimental approach to visualize patterns in three-dimensional phase space, which cannot be imaged with traditional optical methods.

Findings

Successful imaging of phase space patterns at different momentum locations

Imaging of nonuniform transmittance object patterns in phase space

Pattern localization within a subspace of six-dimensional phase space

Abstract

In coventional imaging experiments, objects are localized in a position space and such optically responsive objects can be imaged with a convex lens and can be seen by a human eye. In this paper, we introduce an experiment on a three-dimensional imaging of a pattern which is localized in a three-dimesional phase space. The phase space pattern can not be imaged with a lens in a conventional way and it can not be seen by a human eye. In this experiment, a phase space pattern is produced from object transparancies and imprinted onto the phase space of an atomic gaseous medium, of doppler broadened absorption profile at room temperature, by utilizing velocity selective hole burning in the absorption profile. The pattern is localized in an unique three dimensional phase space which is a subspace of the six dimensional phase space. Imaging of the localized phase space pattern is performed at different momentum locations. In addition, imaging of the imprinted pattern of an object of nonuniform transmittance is presented.