Microwave

Quantum mechanics

Algorithm

Gaussian

Materials science

Eigenvalues and eigenvectors

Acoustics

Wavelength

Fourier series

Physical chemistry

Polarization (electrochemistry)

Physics

Microwave imaging

Dielectric

Mathematics

Optics

Eigenfunction

Mathematical analysis

Chemistry

Optoelectronics

Microwave and Optical Technology Letters

For the reconstruction of a large and high-contrast two-dimensional dielectric object, an inversion algorithm is proposed where the polarization current inside the object is expanded in terms of Fourier series in the angular direction and eigenfunctions with orthogonality and completeness relations in the radial direction. By using this algorithm and a hybrid optimization algorithm combining the genetic algorithm and the Levenberg–Marquardt algorithm, circular dielectric cylinders of a diameter of four wavelengths are reconstructed with multiple incidences of plane waves in the presence of 20% Gaussian noise in the scattered fields. © 2000 John Wiley & Sons, Inc. Microwave Opt Technol Lett 25: 200–206, 2000.

Series expansion of polarization currents for imaging of large dielectric cylinders