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manually implementing PML in cylindrical coordinate
Posted 11 févr. 2011, 16:53 UTC−5 0 Replies
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I am just wondering if anyone knows the formula of "manually" implementing cylindrical PMLs (I don't want to use the built-in PML functions here). I remember the way to implement PML for a Cartesian coordinate is:
1) define attenuations for the media:
sx = a-bi, sy = a-b*i, sz = 1 (the wave will only gets attenuated in the x&y-direction, for example)
2) define tensor coefficients:
Lxx = sy*sz/sx, Lyy = sz*sx/sy, Lzz = sx*sy/sz
3) define the corresponding electrical permittivity tensor:
epsilon = [epsilon_x*Lxx 0 0; 0 epsilon_y*Lyy 0; 0 0 epsilon_z*Lzz]
Can anyone show me how the equivalent steps can be implemented in the cylindrical coordinate? Any coordinate transformation tricks that I can use? Thanks.
Yan W.
Hello Yan Wang
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