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Parallel FiniteDifference TimeDomain FDTD Analysis

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Parallel Finite-Difference Time-Domain (FDTD) Analysis. Omid Momtahan ... 1995. Liu et. al. 8. 1. 1994. Varadarjan & Mitra # of Nodes. Proc per Node. Year. Authors ... – PowerPoint PPT presentation

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Title: Parallel FiniteDifference TimeDomain FDTD Analysis


1
Parallel Finite-Difference Time-Domain (FDTD)
Analysis
  • Omid Momtahan
  • CS 6230, Midterm Presentation
  • March 24, 2003

2
Introduction
  • FDTD Algorithm
  • 2D FDTD lattice ? F(x, y, t)
  • Fn(i, j) F(i?, j?, n ?t)
  • ? grid step ?t time step

3
2D FDTD Cell
  • Electromagnetic field components
  • Propagation constant ? is already known

4
2D FDTD Code
Initial Field
Boundary Conditions
Structure Fabrication
Time-varying Source
FDTD Time Evolution
Time variation at a single point
Final Field Distribution
FFT
Spectral Response
  • Time evolution can give frequency and field
    distribution of the resonant modes.

5
2D Problems (2D PBG Xtals)
  • Defining the problem
  • Outputs (Frequency domain outputs)

x
y
6
Parallelism Approaches
  • SIMD type problem ? MIMD formulation
  • Distributed heartbeat algorithm
  • Send/Receive boundary condition
  • Synchronization is needed
  • Each time step needs two cycles of
  • Computation
  • Synchronization
  • Data Exchange

7
Parallelism Approaches (cont.)
  • Spatial Decomposition
  • Split the domain along one axis
  • Minimize communication between proc.
  • Excitation plane remains intact
  • Keeping the symmetry of the problem

8
Previous works
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