Analytical models for electrically thin flat lenses and reflectors.

Area of Science:

• Electromagnetics
• Applied Physics
• Computational Electromagnetics

Background:

• Electrically thin lenses and reflectors are crucial components in various electromagnetic applications.
• Accurate performance prediction of these devices often relies on computationally intensive full-wave simulations.
• Developing faster, analytical models is essential for efficient design and analysis.

Purpose of the Study:

• To develop and present analytical models for two-dimensional (2D) and three-dimensional (3D) electrically thin lenses and reflectors.
• To emulate the energy convergence properties of these devices when illuminated by plane waves.
• To provide a faster alternative to full-wave simulations for performance prediction and design insights.

Main Methods:

• Formulation of 2D models using infinite current line sources.
• Formulation of 3D models using electrically small dipoles.
• Validation of analytical models through comparison with full-wave simulations.

Main Results:

• The analytical models accurately emulate the energy convergence of electrically thin flat lenses and reflectors.
• The models offer significantly faster performance prediction compared to full-wave simulators.
• Validation confirmed accurate prediction of the focal point for lenses and reflectors with inhomogeneous media.

Conclusions:

• The presented analytical models provide an efficient and insightful tool for designing and analyzing electrically thin lenses and reflectors.
• The models' accuracy, particularly in predicting focal points, is demonstrated through validation against full-wave simulations.
• These models facilitate rapid design iterations and a better understanding of the performance characteristics of thin electromagnetic devices.