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20. ABSTRACT (Continued) 



"Irrelevant to an understanding of the Wiener-Hopf method Itself ar.d Its 

 various extensions. Accordingly, this report was written in an attempt to 

 display the operation of the technique in an even sicplet physical and 

 mathematical contest, and thereby to encourage its more widespread use. 

 The report deals with the application of W'.ener-Hopf methods to one- 

 dimensional wave notions on strings and beams, and in particular with the 

 reflection and transmission from discontinuities in the mechanical proper- 

 tins of a string. Also included is a section illustrating how a generalised 

 Wienev-Hopf problem can be set up for a three-part problem involving a 

 string of finite length. Two dimensional wave problems lire then exempli- 

 fied in a discussion of the acoustic field generated by a vibratlt.g half- 

 plane, and the effect of uniform mean flow ever the half-plane ia included 

 to show how different types of 'edge condition* may be accommodated y The 

 final section sets out in detail the properties of certain functions prising 

 very frequently in application of Wiener-Hopf methods to acoustic problems. 



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