Faltinsen 
ACKNOW LEDGEMENT 
This work is based on a doctoral thesis at The University of 
Michigan (Faltinsen (1971) ). The author was then on leave from his 
position at the Research Department, Det norske Veritas, Oslo, 
Norway with a financial support from The Royal Norwegian Council 
for Scientific and Industrial Research (NTNF). 
I want to thank the chairman of my doctoral committee, 
Professor T. Francis Ogilvie. Without his encouragement, helpful 
suggestions and contributions this work would never have been done. 
I am also thankful to Professor R. Timman, Technical Uni- 
versity of Delft. The discussions with him were a turning point in my 
work, 
Further, Iam thankful to Dr. Nils Salvesen, Naval Ship 
Research and Development Center, Washington DC., Dr. Choung 
Mook Lee, Naval Ship Research and Development Center, Washington 
DC. and Mr. Arthur M. Reed, University of Michigan for their con- 
tribution. 
NOTATION 
a used in the description of the order of 
magnitude of the velocity U,U = 0(,'@-# ), 
Onis ce bf Ze 
g = Be 
“o 
Fn = «Oy V Lg , Froude number. 
g acceleration of gravity. 
G(kY, RZsk Eo ky ©) wave source potential (see (42) ). 
h wave amplitude of the incoming wave. 
h(x, y) function defining the wetted surface of the 
ship. 
k equal to v.€ in the sections about the 
near-field problem and the matching. Other- 
wise integration variable in the Fourier 
transform, 
1808 
