# Compressive Spectral Imaging with Diffractive Lenses

## TL;DR

This paper introduces a novel compressive spectral imaging method using diffractive lenses and coded apertures, enabling high-quality 3D spectral reconstruction from minimal measurements with a simple, low-cost setup.

## Contribution

The paper presents a new compressive spectral imaging technique utilizing diffractive lenses and a fast sparse recovery algorithm for efficient 3D spectral cube reconstruction.

## Key findings

- High-quality spectral reconstruction with as few as two measurements.
- Effective imaging performance demonstrated through numerical simulations.
- Potential for low-cost, high-resolution spectral imaging applications.

## Abstract

Compressive spectral imaging enables to reconstruct the entire three-dimensional (3D) spectral cube from a few multiplexed images. Here, we develop a novel compressive spectral imaging technique using diffractive lenses. Our technique uses a coded aperture to spatially modulate the optical field from the scene and a diffractive lens such as a photon-sieve for dispersion. The coded field is passed through the diffractive lens and then measured at a few planes using a monochrome detector. The 3D spectral cube is then reconstructed from these highly compressed measurements through sparse recovery. A fast sparse recovery method is developed to solve this large-scale inverse problem. The imaging performance is illustrated at visible regime for various scenarios with different compression ratios through numerical simulations. The results demonstrate that promising reconstruction performance can be achieved with as little as two measurements. This opens up new possibilities for high resolution spectral imaging with low-cost and simple designs.