### Citations

1097 |
Advances in Computational Electrodynamics: The Finite-Difference Time-Domain Method
- TAFLOVE
- 1998
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Citation Context ...tion [1] is adopted for this paper. Mathematical theorems for the FDTD formulation, concerning issues such as accuracy, convergence, dispersion, computational complexity and stability are provided in =-=[3, 8]-=- and [9]. A 3D model can be considered as a combination of cubes, which are called Yee’s Cells in FDTD method [3]. The cubes can be variable in sizes but we will consider the size of all cubes to be s... |

1045 | Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media
- YEE
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Citation Context ...RODUCTION FDTD method has been widely used to model interaction of electromagnetic waves in complicated PCB structures [2–7]. The classical FDTD approach, which is based on Yee’s explicit formulation =-=[1]-=- is adopted for this paper. Mathematical theorems for the FDTD formulation, concerning issues such as accuracy, convergence, dispersion, computational complexity and stability are provided in [3, 8] a... |

82 |
High-Speed Digital Design: A Handbook of Black Magic. Englewood Cliffs,
- Johnson, Graham
- 1993
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Citation Context ...ectromagnetic energy appears as voltages across the source and load end of the passive transmission line, known as Near-End Crosstalk (NEXT) and FarEnd Crosstalk (FEXT) respectively in the literature =-=[17, 18]-=-. FDTD simulated voltages on the source and load ends of the active and passive transmission lines are shown in Fig. 24, together with waveforms obtained using the RF/microwave CAD software Advance De... |

62 |
Finite Difference Schemes and
- Strikwerda
- 1989
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Citation Context ...tion [1] is adopted for this paper. Mathematical theorems for the FDTD formulation, concerning issues such as accuracy, convergence, dispersion, computational complexity and stability are provided in =-=[3, 8]-=- and [9]. A 3D model can be considered as a combination of cubes, which are called Yee’s Cells in FDTD method [3]. The cubes can be variable in sizes but we will consider the size of all cubes to be s... |

46 |
FD{TD modeling of digital signal propagation in 3-D circuits with passive and active loads
- May, Taflove, et al.
- 1994
(Show Context)
Citation Context ...e easily carried out. Table 1 provides the update equations for the E n+1 z(i,j,k) field component when it is assumed that the above lumped components coincide with it. The derivation is described in =-=[2]-=-. Update equations for H n+1 2 x(i,j,k) , H n+1 2 2 2 x(i,j−1,k) , Hn+1 y(i,j,k) and Hn+1 y(i−1,j,k) remain unchanged. 2.2.2. Nonlinear Lumped Components In this section, the technique of incorporatin... |

42 |
FDTD for Nth-order dispersive media,”
- Luebbers, Hunsberger
- 1992
(Show Context)
Citation Context ... permittivity εr in (4) will be the average permittivity of the 4 cubes surrounding the electric field component [9]. Linear dispersive dielectric can be accounted for by Recursive Convolution Method =-=[11]-=- (also described extensively in Chapter 9 of [3]) or the Z-transform method [12]. The Z-transform method can also handle nonlinear dielectric quite effectively. In both approaches the electric update ... |

17 |
Z-transform theory and the FDTD method,”
- Sullivan
- 1996
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Citation Context ...ing the electric field component [9]. Linear dispersive dielectric can be accounted for by Recursive Convolution Method [11] (also described extensively in Chapter 9 of [3]) or the Z-transform method =-=[12]-=-. The Z-transform method can also handle nonlinear dielectric quite effectively. In both approaches the electric update equation will again assume the general form of (2), with the effective current d... |

16 |
Accurate wide-range design equations for the frequency-dependent characteristic of parallel coupled microstrip lines
- Kirschning, Jansen
- 1984
(Show Context)
Citation Context ...th waveforms obtained using the RF/microwave CAD software Advance Design System (ADS TM ) from Agilent Technologies. The coupled microstrip line model used by ADS TM is based on the model proposed in =-=[24]-=-. As observed there is good agreement of both results. Oscillator Simulation A simple UHF oscillator is designed and constructed on FR4 substrate printed circuit board using the schematic shown in Fig... |

12 | Full-wave analysis of packaged microwave circuits with active and nonlinear devices: An FDTD approach, Microwave Theory and Techniques
- Kuo, Houshmand, et al.
- 1997
(Show Context)
Citation Context ...n be considered as lumped. In this section, modeling of field effect transistor (FET) will not be covered as the method proposed for the diode and BJT can be directly extended to include the FET, see =-=[5]-=- x z ys306 Kung and Chuah Table 1. Update equations for E n+1 z(i,j,k) of various linear lumped elements. Resistor 2 1 ) , , ( 2 ) , , ( 2 2 1 ) , , ( 1 1 1 + ∆ ∆ ∆ ∆ ∆ ∆ ∆ ∆ ∆ ∆ ∆ ∆ ∆ + × ∇ ⎟ ⎟ ⎟ ⎠ ⎞... |

11 |
Accurate and efficient circuit simulation with lumped-element FDTD technique
- Ciampolini, Mezzanotte, et al.
- 1996
(Show Context)
Citation Context ...ith frequency and field intensity. This allows modeling of dielectric properties such as (1) linear, lossless, non-dispersive (2) linear, lossy, non-dispersive (3) linear, lossless and dispersive and =-=(4)-=- nonlinear. In a homogeneous, linear and lossless dielectric, the general electric field update equation of (2) would be simplified to:sA finite-difference time-domain (FDTD) software 303 E n+1 r(i,j,... |

6 |
A practical guide to analog behavioral modeling for IC system design
- Duran
- 1998
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Citation Context ...uage can be modified while maintaining the integrity of the whole software. Furthermore, digital integrated circuits can also be incorporated by using the approach of Analog Behavioral Modeling (ABM) =-=[25]-=-. Finally, it must be mentioned that the FDTD formulation does have its limitation at present. For circuits, which emphasize on steady-state sinusoidal response, the FDTD approach would be considerabl... |

5 | Stability of classical finite-difference time-domain (FDTD) formulation with nonlinear elements — A new perspective
- Kung, Chuah
(Show Context)
Citation Context ...j−1,k) � ∆t − H ε(1 + CX)∆z n+1 � 2 2 y(i,j,k) − Hn+1 y(i,j,k−1) , CX = ∆x R∆y∆z (9) In this case the computation coefficients will be: 1 − CX ∆t C0X = , C1X = 1+CX ε(1 + CX)∆y , C2X ∆t = ε(1 + CX)∆z =-=(10)-=-s320 Kung and Chuah In the software, the actual computation coefficient table is implemented as an array of structures instead of a two-dimensional floating-point array (note: the term ‘Structure’ her... |

4 | Modeling of bipolar junction transistor in FDTD simulation of printed circuit board
- Kung, Chuah
(Show Context)
Citation Context ...o-bias P-N capacitance τR = Ideal reverse transit time FC = Forward bias depletion capacitance coefficient rB, rC, rE = Base-spreading resistance, collector and emitter resistance. Please see [13] or =-=[7]-=- for detailed explanation of the model. B V BC rB V BE I LC I LE I EC β R ICC β F Iss VBE ICC = ⎛ ⎞ V q ⎜exp⎜ ⎛ ⎟ ⎞ −1 V ⎟ , TE = nF b ⎝ ⎝ TE ⎠ ⎠ kT q Iss VBC I EC = ⎛ ⎞ q ⎜exp⎜ ⎛ ⎟ ⎞ −1 b V ⎟ ⎝ ⎝ TC ... |

4 |
Modern Communication Circuits, 2nd edition
- Smith
- 1998
(Show Context)
Citation Context ...tion A simple UHF oscillator is designed and constructed on FR4 substrate printed circuit board using the schematic shown in Fig. 25. The oscillator configuration is based on the Clapp-Gouriet design =-=[19]-=- and is operational from 800 MHz to 1900 MHz. For demonstration purpose the oscillator frequency is tuned to around 1300 MHz. Again the reasons for using this frequency is similar to that of [7], in t... |

3 |
Modeling a diode in FDTD
- Kung, Chuah
- 2002
(Show Context)
Citation Context ... = Hn−1 r(i,j,k) − µ ∇×En r(i,j,k) E n+1 r(i,j,k) = En ∆t r(i,j,k) + εr(i,j,k) � ∇×H n+1 2 r(i,j,k) where r = x, y, z. Here ∇×H n+1 2 r(i,j,k) and ∇×En r(i,j,k) for instance for x component these are =-=[6, 7]-=-: ∇×E n x(i,j,k) = En z(i,j+1,k) − En z(i,j,k) ∆y ∇×H n+1 2 x(i,j,k) 2 Hn+1 z(i,j,k) = 2 − Hn+1 z(i,j−1,k) ∆y � n+1 2 − Jr(i,j,k) (1) (2) are shorthand, − En y(i,j,k+1) − En y(i,j,k) ∆z − Hn+1 2 y(i,j... |

3 |
Modeling of Electromagnetic Wave Propagation in Printed Circuit Board and Related Structures
- Kung
- 2003
(Show Context)
Citation Context ... adopted for this paper. Mathematical theorems for the FDTD formulation, concerning issues such as accuracy, convergence, dispersion, computational complexity and stability are provided in [3, 8] and =-=[9]-=-. A 3D model can be considered as a combination of cubes, which are called Yee’s Cells in FDTD method [3]. The cubes can be variable in sizes but we will consider the size of all cubes to be similar i... |

2 |
Seminconductor Device Modeling with SPICE, 2nd edition
- Massobrio, Antognetti
- 1993
(Show Context)
Citation Context ...∆y ∆x R + - VS ∆y ∆x ∆z (i,j,k) ⎜ ⎜ ⎜ ⎝ ⎛ ⎟ ⎟ ⎠ ⎞ LsA finite-difference time-domain (FDTD) software 307 for instance. The diode model used here is similar to the model used in SPICE circuit simulator =-=[13]-=-. Here Taylor expansion is used to approximate the current-voltage (I–V) relationship across the PN junction locally. The Taylor expansion will result in a quadratic expression for the I–V relation, w... |

1 |
BFG520; BFG520/X, BFG520/XR, NPN 9 GHz wideband transistor
- Semiconductor
- 1997
(Show Context)
Citation Context ... Far-End Crosstalk (V4). is 3 cells. First order Mur ABC is employed at the model boundaries. The BJT employed in the oscillator is BFG520, a wide-band 9 GHz NPN transistor in SOT-143 plastic package =-=[20]-=-. The diode D1 is a schottky diode, HSMS-2820 from Agilent Technologies [21]. It is housed in SOT-23 plastic package. The SPICE models for both the BJT and schottky diode can be obtained from the manu... |

1 |
Surface mount RF Schottky barrier diodes: HSMS-282x series
- Technologies
- 2000
(Show Context)
Citation Context ...model boundaries. The BJT employed in the oscillator is BFG520, a wide-band 9 GHz NPN transistor in SOT-143 plastic package [20]. The diode D1 is a schottky diode, HSMS-2820 from Agilent Technologies =-=[21]-=-. It is housed in SOT-23 plastic package. The SPICE models for both the BJT and schottky diode can be obtained from the manufacturer’s website. Inductor L1 is a ceramic-core SMD inductor in 0805 packa... |

1 | obtained his Ph.D. in electrical engineering, from Multimedia University, Malaysia, in 2003. finite-difference time-domain (FDTD) software 335 H. T. Chuah obtained his B.Eng., M.Eng.Sc. and Ph.D., all in electrical engineering, from University of Malaya, - He |