Peterson 
If scaling of cavitation inception from a model to a prototype 
is required, then the detailed properties of the flow field must be 
considered in conjunction with a consideration of the type of nuclei 
controlling the inception process. 
The essential aspect of these conclusions are of course not 
original in this paper, but it was the attempt of this paper to add addi- 
tional physical basis for their validity. 
ACKNOWLEDGMENTS 
Many individuals at the Naval Ship Research and Development 
Center have assisted in obtaining the results reported in this paper. 
Specific recognition should be given to Dr. H. Wang and Mr. C, Dawson 
for their contribution in developing the computer program used in the 
bubble trajectory analysis. This work was authorized and funded by 
the Naval Ship Systems Command under its General Hydromechanics 
Research Program, Task SR 023 0101. 
APPENDIX A 
ANALYTICAL EVALUATION OF THE HOLOGRAPHIC PROCESS FOR 
A BUBBLE 
When a light beam is incident on a bubble, some of the light 
is reflected at the first surface. However, a significant amount of 
light is refracted at the first surface and eventually passes out through 
the bubble. In Figure Al, several rays are shown. As shown by Davis 
[3 8] , ray 2 gives the largest contribution to the transmitted energy 
for 0° <0< 40°. This information will be used to represent the light 
passing through the bubble in the following calculations. 
In order to differentiate between a bubble image and an opaque 
spherical particle image, the light transmitted through the bubble 
must be observed. Thus, the holographic process must be evaluated 
to determine how the transmitted light can be expected to influence 
the holographic reconstruction of the bubble image. The general 
method will be an extension of the method used by DeVelis et al., 
for solid particles [39] ; 
The wave equation in vector form 
1148 
