The volume electric field integral equation for dielectric cloaking at any frequency regime

Analytical manipulations on the Volume Electric Field Integral Equation (VEFIE) are performed for cloaking dielectric volumes (with maximum dimension D) from incoming fields (with wavelength λ). Three main mathematical conditions are derived for any frequency regime (D/λ). The first confirms plasmonic cloaking in quasi-static regime; the second demonstrates plasmonic cloaking beyond the subwavelength limit; the third ensures cloaking with all-natural dielectric materials beyond the quasi-static frequency band.