Theory 16/Metamaterials
Cloaking Bandwidth Is a Shell Ratio
The claim
The bandwidth of a cloaking shell is set by the ratio of shell thickness to wavelength, so a thin shell cloaks over a wider band at the cost of imperfect suppression.
01The mechanism
The shell must accumulate a fixed phase to redirect the wave; thinner shells need stronger parameters, which are dispersive, so bandwidth shrinks as the ratio falls.
02Predictions
- P1Bandwidth should track the ratio.
- P2Ideal suppression should narrow the band.
03Refutation
Bandwidth independent of shell thickness would remove the ratio.