Object identification using correlated radial momentum states and beyond.

Area of Science:

• Optical physics
• Information processing
• Remote sensing

Background:

• Joint orbital angular momentum (OAM) spectrum characterizes azimuthal structure but lacks radial sensitivity.
• Complex object recognition requires analysis of both azimuthal and radial features.

Purpose of the Study:

• Introduce a novel object recognition method using the joint radial momentum spectrum (RMS).
• Demonstrate RMS's capability to capture radial structural features.
• Highlight the complementary role of RMS with OAM for comprehensive spatial recognition.

Main Methods:

• Developed and applied the joint radial momentum spectrum (RMS) for object recognition.
• Conducted experiments using lunar-like phase objects.
• Utilized Laguerre-Gaussian modes with varying radial distributions for testing.

Main Results:

• The joint RMS effectively captures an object's radial structural features.
• RMS differentiates optical modes with identical azimuthal but distinct radial properties.
• Combined OAM and RMS provide comprehensive spatial structure recognition.

Conclusions:

• The joint RMS is essential for analyzing radial features, overcoming OAM spectrum limitations.
• Combining OAM and RMS spectra enhances object recognition capabilities.
• This research advances RMS-based remote sensing and optical information processing.