Multi-frequency inversion of scattered-field data in Lebesgue spaces with nonconstant exponents

The quantitative retrieval of the dielectric properties of structures from scattered-field measurements at microwave frequencies is relevant for a wide range of applications. To accomplish this task, a key point is represented by the effective exploitation of the available information, including frequency diversity. In this contribution, a quantitative imaging method that works in Lebesgue spaces with nonconstant exponents is extended in order to perform a multi-frequency inversion. The proposed technique is validated against experimental data.