The circulation and weaving of light in one-dimensionally periodic structures as a result of the excitation of phase resonances are described. It is shown that phase resonances occur for s-polarized incident light with many similarities and some important differences compared to well-known p-polarized phase resonances. It is shown that surface plasmons are not necessary for either enhanced transmission or phase resonances to occur in one-dimensionally periodic slit arrays. Characteristics of phase resonances of both polarizations, including their production of a sharp minimum on the shoulder of a broader transmission peak are described by analyzing the power flow associated with these modes. Electromagnetic field intensities and phase difference in the coupled cavity modes that comprise phase resonances are discussed.