Fully interferometric three-dimensional imaging spectrometry using hyperbolic-type volume interferogram

Area of Science:

• Optics and Photonics
• Spectroscopy
• Image Processing

Background:

• Fully interferometric three-dimensional (3D) imaging spectrometry presents challenges in directly interpreting fringe patterns.
• Existing methods struggle to accurately reconstruct 3D spectral information from complex interferograms.

Purpose of the Study:

• To propose and validate a novel signal-processing method for fully interferometric 3D imaging spectrometry.
• To enable the synthesis of 3D interferograms and the retrieval of spectral components from 3D images.

Main Methods:

• Development of a signal-processing procedure for synthesizing a 3D interferogram.
• Implementation of a method to retrieve spectral components of 3D images from the synthesized interferogram.
• Experimental demonstration using two planar light sources.

Main Results:

• Successfully synthesized 3D interferograms that do not directly represent propagated wavefronts.
• Accurately retrieved the spectral components of 3D images for the tested light sources.
• Demonstrated the feasibility of the proposed signal-processing technique.

Conclusions:

• The proposed signal-processing method effectively reconstructs 3D spectral information in fully interferometric imaging spectrometry.
• The synthesis procedure for the 3D interferogram opens possibilities for direct measurement applications.
• This advancement enhances the capabilities of 3D spectral imaging.