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A semiglobal radiation boundary condition for the finite‐difference‐time‐domain method
Author(s) -
De Moerloose Jan,
De Zutter Daniel
Publication year - 1995
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.4650080208
Subject(s) - finite difference time domain method , boundary value problem , operator (biology) , boundary (topology) , poincaré–steklov operator , grid , mathematical analysis , plane wave , domain (mathematical analysis) , mathematics , property (philosophy) , plane (geometry) , scattering , field (mathematics) , computer science , physics , mixed boundary condition , optics , geometry , robin boundary condition , pure mathematics , biochemistry , chemistry , philosophy , epistemology , repressor , transcription factor , gene
In the analysis of antennas and scattering problems by the finite‐difference‐time‐domain (FDTD) method, the dimensions of the problem space are primarily determined by the quality of the radiation boundary condition (RBC) that is used to truncate the computational grid. The performance of the recently proposed higher‐order boundary conditions in cases of practical importance is often worse than the standard Mur‐second‐order condition. In the present article we will show that the reason for this unexpected result is the inability of this type of one‐way wave equation to deal with the evanescent or inhomogeneous plane‐wave part of the field. On the basis of this consideration we have constructed a new semiglobal operator that does have the required property. By combining this operator with the unusual Mur‐second‐order condition one arrives at an RBC with a much better performance. The novel RBC can also be used to analyze static problems.