LABIANCA/HARPER: A THEORETICAL APPROACH TO THE PREDICTION OF SIGNAL 

 FLUCTUATIONS DUE TO ROUGH-SURFACE SCATTERING 



A. The Boundary -Value Problem 



,2 1 d' 



c^Cz) dt^ 



P(r,r',t) = -iCr-rne-^*"* 



P = on z = z 



surface 



P -0 as |r I 



^surface = ^^^^'*^ 



B. The Perturbation Procedure 



P ~ Pq + aPj + a^Pg + O(a^) 



z=z 



surface 



[pq ^ ^^1 ^ ^\ ' ^(^''] ,.0 



+ a 



aPo ap. 



+ a -J + 0(a 



az az 



^1 C(p,t) 

 J z=0 " 



+ a 



a^P, 



az 



+ 0(a) 



i!(M_ = o(a3) 



Figure 4. THE SCATTERING FORI^IALISM 



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