On space-spectrum uncertainty analysis for spectrally programmable cameras

Abstract

We introduce and analyze the concept of space-spectrum uncertainty for certain commonly used designs of spectrally programmable cameras. Our key finding states that, it is not possible to simultaneously acquire high-resolution spatial images while programming the spectrum at high resolution. This phenomenon arises due to a Fourier relationship between the aperture used for resolving spectrum and its corresponding diffraction blur in the spatial image. We show that the product of spatial and spectral standard deviations is lower bounded by λ 4 π ν 0 femto square-meters, where ν0 is the density of groves in the diffraction grating and λ is the wavelength of light. Experiments with a lab prototype validate our findings and its implication for spectral programming.

Document Details

Document Type
Pub Defense Publication
Publication Date
Mar 02, 2020
Source ID
10.1364/oe.381154

Entities

People

  • Aswin C. Sankaranarayanan
  • Vishwanath Saragadam

Organizations

  • National Geospatial-Intelligence Agency

Tags

Fields of Study

  • Physics

Readers

  • Image Processing and Computer Vision.
  • Systems Analysis and Design

Technology Areas

  • Space