CONTENTS 
INTRODUCTION... page 5 
PAR® I (GENERAL THRORY {2 5 
IL, 
2. 
3. 
Discrete Distribution of Elements... 5 
Continuous Distribution of Elements... 9 
Shading... 12 
PART 1s VAP PEICAION SIO wr ORM ieee! 
ls 
2. 
Discrete Distribution of Elements... J5 
Continuous Distribution of Elements. . £4 
APPENDIX A: NOTE ON A DOUBLE LIMIT PROCESS... 
APPENDIX B: DIRECTIVITY FUNCTION IN VECTOR 
NOTATION... .41 
APPENDIX C: FORMULAS FOR EVALUATION OF 
CERTAIN INTEGRALS... 43 
APPENDIX D: PERTURBED CYLINDRICAL WAVE 
FRONT...46 
REFERENCES...50 
ILLUSTRATIONS 
Rectangular coordinate system showing a source and a 
spherical wave front passing through a typical element of 
a general array... 6 
Source 
Source 
Source 
Source 
Source 
Source 
Source 
Source 
Source 
Source 
and a typical element of a plane array... 9 
and elements of a linear array... 15 
and elements of a circular array.. 17 
and elements of a rectangular array...19 
and elements of a rectangular parallelepiped.. .21 
and a line array... 25 
and a rectangular array... 26 
and a solid rectangular parallelepiped... 28 
and a circular ring... 29 
and a circular disk...34 
Element on spherical surface... 36 
Source, 
typical element, and point of compensation in 
vector notation. ..42 
Source 
and perturbed cylindrical wavefront passing 
through a typical element...46 
Example of a perturbed cylindrical wave front... 49 
39 
