Publications [#283596] of Qing H. Liu

Papers Published

1. He, JQ; Liu, QH, A nonuniform cylindrical fdtd aiborithm using new split PML formulations, Ieee Antennas and Propagation Society International Symposium, 1998 Digest Antennas: Gateways to the Global Network Held in Conjunction With: Usnc/Ursi National Radio Science Meeting, vol. 1 (January, 1998), pp. 588-591, IEEE [doi]
   (last updated on 2023/08/08)

   Abstract:
   The perfectly rnatcheti layers (PML) was first introtlucetl by Bereriger as a niaterial ab sorbing boundary conditions (ABC) for electromagnetic waves [I]. It has been clevelolietl widely for siiriiilatiori of wave propagation and scattering in an iint)ounded rnediurri iu Cartesian coordinates. Rigorous studies have been done on the PML for nonorthogonal grids, notably 12-41, Most scherries do riot admit cylindrical harmonics as the eigensolutions of the iriodifictl Maxwell's equations. Only recently, several foririiilations of PML ABCs have been irnplernerited in cylindrical coordinates 15-91. In this work we show a unified formulation to develop two PML ABCs wliicli split Maxwell's equations in a form suitable for tirne-stepping. A nonririiforin grid is used to implement FDTD algorithm for inhomogemow conductive media in order to save computer rnernory and coniputational time. Numerical results agree well with arialytical solutions. Applications of the 3-D algorithm are shown for borehole radar probing.