Laguerre Gaussian mode holography and its application in optical encryption

Area of Science:

• Optics and Photonics
• Information Technology

Background:

• Holography reconstructs intensity and phase, with applications in imaging, security, and data storage.
• Orbital angular momentum (OAM) of Laguerre-Gaussian (LG) modes is used for secure encryption in holography.
• The radial index (RI) of LG modes has not been utilized as an information carrier in holography.

Purpose of the Study:

• To propose and demonstrate radial index (RI) holography.
• To implement LG holography using both RI and OAM for enhanced data capacity and security.
• To explore the potential of RI holography for high-capacity information systems.

Main Methods:

• Utilizing strong RI selectivity in the spatial-frequency domain for RI holography.
• Theoretical and experimental realization of LG holography with RI and OAM.
• Developing LG-multiplexing holograms for optical encryption.

Main Results:

• Demonstrated RI holography by leveraging spatial-frequency domain selectivity.
• Achieved LG holography with (RI, OAM) spanning (1, -15) to (7, 15), creating a 26-bit LG-multiplexing hologram.
• Realized a LG-multiplexing holography system with 217 independent LG channels, surpassing OAM holography capacity.

Conclusions:

• RI holography offers a new dimension for information encoding in holographic systems.
• LG holography combining RI and OAM enables high-capacity and high-security optical data storage.
• The developed method significantly advances holographic information systems beyond current OAM-based approaches.