Electromagnetic time-harmonic and static field polygonal rotator with homogeneous materials

Area of Science:

• Electromagnetism
• Materials Science
• Coordinate Transformation

Background:

• Designing electromagnetic field rotators often requires complex materials and structures.
• Controlling field density in specific regions presents a significant challenge.

Purpose of the Study:

• To propose a novel scheme for designing polygonal rotators using homogenous materials.
• To demonstrate the applicability of the method for both static and time-harmonic electromagnetic fields.
• To enable tunable control over field density in the central region.

Main Methods:

• Utilizing linear coordinate transformation for designing polygonal rotator structures.
• Applying the strategy to both static and time-harmonic electromagnetic field scenarios.
• Investigating the use of anisotropic materials for static field rotators.

Main Results:

• A single anisotropic material is sufficient for static field rotators.
• The proposed method allows for adjustable field density (denser, sparser, or unchanged) in the central region.
• Magnetostatic and direct current rotators can be realized with specific material combinations (e.g., ferromagnetic/superconductor, metals with varying conductivity).

Conclusions:

• The proposed linear coordinate transformation strategy is effective for designing homogenous polygonal rotators.
• The method offers flexibility in controlling electromagnetic field properties.
• Numerical simulations confirm the strategy's validity for both static and time-harmonic fields.