Accurate Time Domain Method for Simulation of Microstructured Electromagnetic and Photonic Structures
A time-domain numerical model within the
framework of transmission line modeling (TLM) is developed to
simulate electromagnetic pulse propagation inside multiple
microcavities forming photonic crystal (PhC) structures. The model
developed is quite general and is capable of simulating complex
electromagnetic problems accurately. The field quantities can be
mapped onto a passive electrical circuit equivalent what ensures that
TLM is provably stable and conservative at a local level.
Furthermore, the circuit representation allows a high level of
hybridization of TLM with other techniques and lumped circuit
models of components and devices. A photonic crystal structure
formed by rods (or blocks) of high-permittivity dieletric material
embedded in a low-dielectric background medium is simulated as an
example. The model developed gives vital spatio-temporal
information about the signal, and also gives spectral information over
a wide frequency range in a single run. The model has wide
applications in microwave communication systems, optical
waveguides and electromagnetic materials simulations.
[1] S. A. Rinne, F. Garcia-Santamaria, and P. V. Braun, "Embedded Cavities
and Waveguides in Three-Dimensional Silicon Photonic Crystals,"
Nature Photonics, vol. 2, pp. 52-56, 2008.
[2] I. Fushman, E. Waks, D. Englund, N. Stoltz, P. Petroff, and J. Vuckovic,
"Ultrafast Nonlinear Optical Tuning of Photonic Crystal Cavities,"
Applied Physics Letters, vol. 90, pp. 0911181-0911183, 2007.
[3] M. Dems and K. Panajotov, "Modeling of Single- and Multimode
Photonic-Crystal Planar Waveguides With the Plane-Wave Admittance
Method," Applied Physics B, vol. 89, pp. 19-23, 2007.
[4] R. M. Joseph and A. Taflove, "FDTD Maxwell's Equations Models for
Nonlinear Electrodynamics and Optics," IEEE Transactions on Antennas
and Propagation, vol. 45, pp. 364-374, 1997.
[5] C. Christopoulos, The Transmission-Line Modeling Method: TLM.
Piscataway, NJ: IEEE Press, 1995.
[6] J. Paul, "Modelling of General Electromagnetic Properties in TLM," in
School of Electrical and Electronic Engineering. Nottingham:
University of Nottingham, 1998.
[7] P. Russer, P. So, and W. Hoefer, "Modeling of Nonlinear Active
Regions in TLM," Microwave Guided Letters, vol. 1, pp. 8-10, 1991.
[8] V. Janyani, J. D. Paul, A. Vukovic, T. M. Benson, and P. Sewell, "TLM
Modelling of Non-Linear Optical Effects in Fibre Bragg Gratings," IEE
Proceedings Optoelectronics,, vol. 151, pp. 185-192, 2004.
[9] S. Lidgate, "Advanced Finite Difference-Beam Propagation Method
Analysis of Complex Components," in School of Electrical and
Electronic Engineering. Nottingham: University of Nottingham, 2004.
[10] V. Janyani, A. Vukovic, J. D. Paul, T. M. Benson, and P. Sewell, "Time
Domain Simulation in Photonics: A Comparison of Nonlinear
Dispersive Polarisation Models," Optical and Quantum Electronics, vol.
37, pp. 3-24, 2005.
[1] S. A. Rinne, F. Garcia-Santamaria, and P. V. Braun, "Embedded Cavities
and Waveguides in Three-Dimensional Silicon Photonic Crystals,"
Nature Photonics, vol. 2, pp. 52-56, 2008.
[2] I. Fushman, E. Waks, D. Englund, N. Stoltz, P. Petroff, and J. Vuckovic,
"Ultrafast Nonlinear Optical Tuning of Photonic Crystal Cavities,"
Applied Physics Letters, vol. 90, pp. 0911181-0911183, 2007.
[3] M. Dems and K. Panajotov, "Modeling of Single- and Multimode
Photonic-Crystal Planar Waveguides With the Plane-Wave Admittance
Method," Applied Physics B, vol. 89, pp. 19-23, 2007.
[4] R. M. Joseph and A. Taflove, "FDTD Maxwell's Equations Models for
Nonlinear Electrodynamics and Optics," IEEE Transactions on Antennas
and Propagation, vol. 45, pp. 364-374, 1997.
[5] C. Christopoulos, The Transmission-Line Modeling Method: TLM.
Piscataway, NJ: IEEE Press, 1995.
[6] J. Paul, "Modelling of General Electromagnetic Properties in TLM," in
School of Electrical and Electronic Engineering. Nottingham:
University of Nottingham, 1998.
[7] P. Russer, P. So, and W. Hoefer, "Modeling of Nonlinear Active
Regions in TLM," Microwave Guided Letters, vol. 1, pp. 8-10, 1991.
[8] V. Janyani, J. D. Paul, A. Vukovic, T. M. Benson, and P. Sewell, "TLM
Modelling of Non-Linear Optical Effects in Fibre Bragg Gratings," IEE
Proceedings Optoelectronics,, vol. 151, pp. 185-192, 2004.
[9] S. Lidgate, "Advanced Finite Difference-Beam Propagation Method
Analysis of Complex Components," in School of Electrical and
Electronic Engineering. Nottingham: University of Nottingham, 2004.
[10] V. Janyani, A. Vukovic, J. D. Paul, T. M. Benson, and P. Sewell, "Time
Domain Simulation in Photonics: A Comparison of Nonlinear
Dispersive Polarisation Models," Optical and Quantum Electronics, vol.
37, pp. 3-24, 2005.
@article{"International Journal of Electrical, Electronic and Communication Sciences:51545", author = "Vijay Janyani and Trevor M. Benson and Ana Vukovic", title = "Accurate Time Domain Method for Simulation of Microstructured Electromagnetic and Photonic Structures", abstract = "A time-domain numerical model within the
framework of transmission line modeling (TLM) is developed to
simulate electromagnetic pulse propagation inside multiple
microcavities forming photonic crystal (PhC) structures. The model
developed is quite general and is capable of simulating complex
electromagnetic problems accurately. The field quantities can be
mapped onto a passive electrical circuit equivalent what ensures that
TLM is provably stable and conservative at a local level.
Furthermore, the circuit representation allows a high level of
hybridization of TLM with other techniques and lumped circuit
models of components and devices. A photonic crystal structure
formed by rods (or blocks) of high-permittivity dieletric material
embedded in a low-dielectric background medium is simulated as an
example. The model developed gives vital spatio-temporal
information about the signal, and also gives spectral information over
a wide frequency range in a single run. The model has wide
applications in microwave communication systems, optical
waveguides and electromagnetic materials simulations.", keywords = "Computational Electromagnetics, Numerical
Simulation, Transmission Line Modeling.", volume = "2", number = "3", pages = "370-6", }