CONTENTS 



Page 



ABSTRACT 1 



1 . INTRODUCTION 1 



2. STATIONARY-PHASE APPROXIMATION TO THE FAR-FIELD KELVIN WAKE 3 



3. BASIC EXPRESSIONS FOR THE FAR-FIELD WAVE-AMPLITUDE FUNCTION 5 



4. LOW-FROUDE-NUMBER LAPLACE APPROXIMATION TO THE FAR-FIELD WAVE-AMPLITUDE 

 FUNCTION IN TERMS OF A WATERLINE INTEGRAL 6 



5. LOW-FROUDE-NUMBER STATIONARY-PHASE APPROXIMATION TO THE FAR-FIELD 

 WAVE-AMPLITUDE FUNCTION 7 



6. CONCLUSION: HULL FORM AND KELVIN-WAKE FEATURES 10 



ACKNOWLEDGMENTS 12 



REFERENCES 12 



FIGURES 

 la. The stationary-phase value t_(a), the phase-function 0_(a), the 



amplitude-function A_(a) and the steepness-function S_(oi) 



corresponding to the transverse waves in the Kelvin wake 4 



lb. The stationary-phase value t+(a) , the phase-function 0+(a), the 



amplitude-function A+(a) and the steepness-function S+a) 



corresponding to the divergent waves in the Kelvin wake 4 



2. Definition sketch for a single-hull ship with port and 



starboard symmetry 5 



3a. The waterline-t angent angle <^, the wave-propagation angle 3 and the 



wavelength X as functions of the angle from the ship track a; the 



subscripts T and D refer to the transverse and divergent waves, 



respectively 11 



iii 



