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In some underwater acoustic waveguides with specially selected sound speedprofiles striations or fringes of the interference pattern are determined by asingle parameter \beta\ called the waveguide (or Chuprov) invariant. In thepresent paper it is shown that an analytical description of fringes may bepossible in a waveguide with an arbitrary sound speed profile. A simpleanalytical expression is obtained for smooth lines formed by local maxima ofthe interference pattern. This result is valid at long enough ranges. It isderived proceeding from a known relation connecting the differences of raytravel times and the action variables of ray paths.

Ray-based analysis of the interference striation pattern in an underwater acoustic waveguide