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Monostatic lidar/radar invisibility using coated spheres.

Peng-Wang Zhai¹, Yu You, George W Kattawar

¹1Department of Physics, Texas A&M University, College Station, TX, 77843, USA. pwzhai@tamu.edu

|June 11, 2008

Summary

The Lorenz-Mie theory was extended to include materials with permeability not equal to one. Zero backscatter from spherical particles is achieved through impedance matching, especially for large particles.

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Area of Science:

Electromagnetism
Optical Physics
Materials Science

Background:

The Lorenz-Mie theory traditionally assumes material permeability equals unity.
Understanding light scattering from particles with varying magnetic properties is crucial for applications.

Purpose of the Study:

To revisit and extend the Lorenz-Mie theory for materials with permeability differing from unity.
To analyze light scattering by homogeneous and coated spheres under these extended conditions.

Main Methods:

Explicitly incorporating magnetic permeability into the Lorenz-Mie theory.
Deriving expansion coefficients for the scattered electromagnetic field.
Utilizing asymptotic expressions for radar backscattering cross section.

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Main Results:

Formulas for expansion coefficients are provided for homogeneous and coated spheres.
Zero backscatter is demonstrated when particle impedance matches the surrounding medium's impedance.
Large particles exhibiting zero backscatter can be explained by impedance matching.

Conclusions:

The extended Lorenz-Mie theory accurately describes scattering from particles with non-unity permeability.
Impedance matching is a key factor for achieving zero backscatter.
Coated spheres can function as cloaking devices under specific conditions related to shell properties.