Continuous spatio-temporal synthesis of electromagnetic fields by projected space-time Fourier transform

Area of Science:

• Physics
• Electrical Engineering
• Applied Mathematics

Background:

• Electromagnetic (EM) wave manipulation is crucial for microwave sensing and wireless communication.
• Spatio-temporal synthesis of EM fields is gaining interest but faces computational challenges, limiting it to low dimensions.
• Synthesizing four-dimensional (4D) EM fields remains a significant hurdle due to computational complexity.

Purpose of the Study:

• To develop a method for analytically controlling continuous, high-dimensional EM fields over time.
• To overcome the computational burden associated with traditional EM field synthesis approaches.
• To enable rapid synthesis of complex 4D EM fields without iterative algorithms.

Main Methods:

• Development of the projected space-time Fourier transform (PST-FT) method.
• Analytical control of continuous evolution of high-dimensional EM fields.
• Integration of developed theory with signal processing theory.

Main Results:

• Successful rapid synthesis of continuous 4D EM fields.
• Demonstration of three complex time-varying microwave fields: radiated fields, multi-target scanning fields, and time-varying shaped uniform fields.
• Derivation of corollaries and fundamental limitations of the PST-FT method.

Conclusions:

• The PST-FT method provides an efficient and analytical approach for 4D EM field synthesis.
• The method overcomes previous computational limitations, enabling high-dimensional spatio-temporal control.
• Potential applications include EM environment reproduction, advanced wireless communication, and holographic imaging.