2003
DOI: 10.1109/jlt.2003.814392
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A finite-difference time-domain beam-propagation method for TE- and TM-wave analyses

Abstract: Abstract-The application of the existing time-domain beampropagation method (TD-BPM) based on the finite-difference (FD) formula has been limited to the TE-mode analysis. To treat the TM mode as well as the TE mode, an improved TD-BPM is developed using a low-truncation-error FD formula with the aid of the alternating-direction implicit scheme. To improve the accuracy in time, a Padé (2,2) approximant is applied to the time axis. Although the truncation error in time is found to be (1 2 ),asinthecaseofthe Padé… Show more

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Cited by 28 publications
(13 citation statements)
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“…FDTD method was presented first by K. S. Yee [20] in 1966, which was widely applied in electromagnetic scattering and propagation of the target with complex shape [21][22][23][24].…”
Section: Simulation Of the Emissivity Measurement Of Calibration Loadmentioning
confidence: 99%
“…FDTD method was presented first by K. S. Yee [20] in 1966, which was widely applied in electromagnetic scattering and propagation of the target with complex shape [21][22][23][24].…”
Section: Simulation Of the Emissivity Measurement Of Calibration Loadmentioning
confidence: 99%
“…In addition, the resultant broadly banded matrix derived from (2) should be solved by iterative techniques such as the Bi-Conjugate Gradient Stabilized (Bi-CGSTAB) [19]. This is highly time consuming, as discussed subsequently in the paper.…”
Section: A Conventional Id-bpmmentioning
confidence: 99%
“…To efficiently solve (1), we apply the ADI scheme [19] to (2) so that (7) Introducing the intermediate field , we obtain the following two-step algorithm:…”
Section: B Adi-based Id-bpmmentioning
confidence: 99%
“…Equation (3) forms a parabolic-type equation so that the efficient BPM solvers developed so far can directly be applied to the solution of (3). We solve (3) by the Crank-Nicolson (CN) scheme with and without the ADIM [13], [15]. With the ADIM, the resultant FD equations are efficiently solved by the Thomas algorithm.…”
Section: B Td-bpmsmentioning
confidence: 99%
“…The TD-BPMs developed so far can roughly be di- vided into three classes, i.e., full-band (FB) [10], [19]- [21], wide-band (WB) [16]- [18], and narrow-band (NB) [8]- [15] TD-BPMs. The feature of the TD-BPM is that only the time-varying optical envelope is analyzed.…”
Section: Introductionmentioning
confidence: 99%