Chapman, S. J. and Lawry, J. M. H. and Ockendon, J. R. and Tew, R. H. (1999) On the theory of complex rays. SIAM Review, 41 (3). pp. 417509. ISSN 00361445

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Abstract
The article surveys the application of complexray theory to the scalar Helmholtz equation in two dimensions.
The first objective is to motivate a framework within which complex rays may be used to make predictions about wavefields in a wide variety of geometrical configurations. A crucial ingredient in this framework is the role played by Sp in determining the regions of existence of complex rays. The identification of the Stokes surfaces emerges as a key step in the approximation procedure, and this leads to the consideration of the many characterizations of Stokes surfaces, including the adaptation and application of recent developments in exponential asymptotics to the complex WentzelKramersBrilbuin expansion of these wavefields.
Item Type:  Article 

Uncontrolled Keywords:  geometrical optics; geometrical theory of diffraction; exponential asymptotics; Stokes' phenomenon; Helmholtz equation 
Subjects:  O  Z > Partial differential equations O  Z > Optics, electromagnetic theory 
Research Groups:  Oxford Centre for Industrial and Applied Mathematics 
ID Code:  611 
Deposited By:  Jon Chapman 
Deposited On:  24 May 2007 
Last Modified:  29 May 2015 18:25 
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