scholarly journals Concept for Measuring Laser Beam-Quality Parameters.

1998 ◽  
Vol 26 (10) ◽  
pp. 723-729 ◽  
Author(s):  
Takunori TAIRA
Author(s):  
Teresa Regińska ◽  
Kazimierz Regiński

AbstractA simplified model of a laser beam leads to an ill-posed Cauchy problem for the Helmholtz equation on an infinite strip. In the case of large wave numbers, the problem corresponds to an operator equation with an unbounded operator. The first problem considered concerns optimality of a spectral type regularization method for reconstructing the radiation field from measurements given only on a part of the boundary. The optimal order of convergence, previously known for particular cases, is proved for an arbitrary wave number and for nonzero Dirichlet and Neumann conditions under


2003 ◽  
Author(s):  
Michael R. Duparre ◽  
Carsten Rockstuhl ◽  
Andreas Letsch ◽  
Siegmund Schroeter ◽  
Vladimir S. Pavelyev

2007 ◽  
Vol 78 (7) ◽  
pp. 073103 ◽  
Author(s):  
Patrick Kwee ◽  
Frank Seifert ◽  
Benno Willke ◽  
Karsten Danzmann

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