Exact formulation of nonlocal transparent boundary conditions for elastic strip, plate, and cylinder

2021 ◽  
Author(s):  
D. D. Zakharov
Keyword(s):  
Boundary Conditions ◽  
Exact Formulation ◽  
Elastic Strip ◽  
Transparent Boundary Conditions ◽  
Strip Plate

Transparent boundary conditions for discretized non-Hermitian eigenvalue problems

2021 ◽  
pp. 2150138
Author(s):  
Jonathan Heinz ◽  
Miroslav Kolesik
Keyword(s):  
Quantum Mechanics ◽  
Eigenvalue Problem ◽  
Boundary Conditions ◽  
Eigenvalue Problems ◽  
Complex Scaling ◽  
Transparent Boundary Conditions ◽  
Drastic Reduction ◽  
Optical Cavities ◽  
Energy Dependent ◽  
Lossy Waveguides

A method is presented for transparent, energy-dependent boundary conditions for open, non-Hermitian systems, and is illustrated on an example of Stark resonances in a single-particle quantum system. The approach provides an alternative to external complex scaling, and is applicable when asymptotic solutions can be characterized at large distances from the origin. Its main benefit consists in a drastic reduction of the dimesnionality of the underlying eigenvalue problem. Besides application to quantum mechanics, the method can be used in other contexts such as in systems involving unstable optical cavities and lossy waveguides.

scholarly journals Transparent Boundary Conditions for Time-Dependent Problems

2008 ◽  
Vol 30 (5) ◽  
pp. 2358-2385 ◽  
Author(s):  
Daniel Ruprecht ◽  
Achim Schädle ◽  
Frank Schmidt ◽  
Lin Zschiedrich
Keyword(s):  
Boundary Conditions ◽  
Time Dependent ◽  
Transparent Boundary Conditions ◽  
Time Dependent Problems
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