Radome structure, protected radiation-active system and methods for using the same

A layer structure of a radome for use with radiation of a free space frequency, the layer structure having an exposed outer surface and an inner surface, the layer structure comprising:

• a core having an inside surface and an outside surface, the outside surface of the core being within 0.75 mm of the exposed outside surface of the layer structure of the radome, the core including a first core layer having a first relative permittivity of at least 2.3 and a second core layer having a second relative permittivity of at least 2.3, the first core layer defining the outside surface of the core and the second core layer defining the inside surface of the core, and an intermediate core layer between the first core layer and the second core layer;
• and
• an inner structure disposed on the inside surface of the core, the inner structure having an outside surface abutting the core and an inside surface that is exposed, the inner structure including at least one layer, wherein each of the first relative permittivity and second relative permittivity is at least 0.4 greater (e.g., at least 0.7 greater, at least 1 greater, or at least 1.3 greater) than a relative permittivity of any layer in the inner structure.