Cloaking: analytical theory for benchmark structures

Proceeding from the scattered field expansion in cylindrical harmonics, we define partial invisibility or cloaking as suppression of finitely many lowest-order harmonics. We show that for benchmark structures (a dielectric rod and a perfectly conducting cylinder circular cross section covered by concentric layer), such multiple can be achieved. For this purpose, prove solvability explicitly determine solution corresponding equation system which provide vanishing coefficients resulting simultaneous up to five investigate character qualitative properties analyzing patterns.