The impact-parameter representation involving J0(kb ϑ) rather than J0(2kb 12ϑ) is used to study high-energy large-angle proton-proton scattering. We present a model in which the exponential law in kϑ holds for large values of kϑ. This model would thus agree with the Orear fit and, equivalently, for given s, with the CERN fit. An undesirable feature of the theory is that the s-channel Regge poles must retreat to and reside at the negative odd integers for the exponential law to hold. We discuss next an optical model where the Regge poles are not so constrained. This leads to a power law in kϑ. For the power law to hold, the requirement is that the Regge poles should be confined to the left half l plane. We present a complete graphical analysis of present high-energy large-angle data. The power law fits over a wider range of angles than does the exponential law. In this sense, the power law is a better fit. The actual power law approaches an inverse eighth power in k22ϑ. This agrees with the Wu-Yang suggestion that dσdΩ~GM4(k22ϑ), since the nucleon form factor falls off as the inverse square of its argument.