Applicable range of periodical wave theories updating le mehaute's chart

Le Mehaute (1976)’s chart has been widely used in coastal engineering community because of its simplicity. However, there is a need to update this chart based on newly developed Stokes wave theory. This paper adopts Fenton (1999)’s 3rd order and 5th order cnoidal wave solution for updating the chart. Fenton’s 3rd order solution is applicable in the range between the two lines represented by m=0.5 and m=0.96. For higher m values (region above the red dot line), Fenton’s 5th order solution is applicable. Alternatively, Clamond (1999)’s solution can be considered.