A boundary criterion for the effects of a linear phase center shift onto antenna impulse responses

It is known that the phase center of some antennas can shift its position over frequency. The effects of such a phase center movement on the time domain behavior of an antenna were analyzed within an earlier publication. It could be shown that contrary to expectations the pulsewidth of the antenna impulse response increases with increasing antenna bandwidth under certain boundary conditions. These conditions are studied throughout this paper. A boundary will be derived which defines a range of validity for the aforementioned observations. These theoretical findings are discussed in detail using examples.