• 【转载】PMC/PEC Boundary Conditions and Plane Wave Simulation


    原文链接

    PMC/PEC Boundary Conditions and Plane Wave Simulation (FDTD)

    OptiFDTD now has options to use Perfect Electrical Conductor (PEC) and Perfect
    Magnetic Conductor (PMC) boundary conditions. You can choose which boundaries
    use the new conditions, and Anisotropic PML can be used for the remaining
    boundaries. With this PEC/PMC/Anisotropic PML combination, the following
    simulations may be obtained:

    • Plane wave simulation
    • Domain reduced simulation for symmetric, periodic, or photonic band gap structures

    Image value of PEC/ PMC

    The following graphs show the field set up in the PEC/PMC wall (zero thickness) and
    its image value

    FDTD - Field in PMC and image area

    Figure 8: Field in PMC and image area

    (E is the vertical electric component in the PMC wall, and HII is the parallel
    magnetic component in the PMC wall.)

    FDTD - Field in PEC and image area

    Figure 9: Field in PEC and image area

    As we can see from Figure 8, PMC is a symmetric wall for the symmetric structure
    with symmetric wave propagation. The following two cases details the results when
    PMC occurs.

    FDTD - PMC wall in a symmetric waveguide—excited by symmetric TE waveguide mode

    Figure 10: PMC wall in a symmetric waveguide—excited by symmetric TE waveguide mode

    FDTD - Figure 11 PMC wall in a periodic structure for TE plane wave propagation

    Figure 11: PMC wall in a periodic structure for TE plane wave propagation

    PMC can be seen as the special case for Bloch’s boundary condition (periodic
    boundary condition) where the k-vector is set to zero in the corresponding direction.

    PEC line is the complement of PMC, so in Figure 10, and Figure 11, the PMC line will
    become the PEC line if the wave polarization is changed to TM.

    Plane wave realized in symmetric/periodic structure

    Figure 12 shows how the plane wave simulation can be realized for a symmetric
    structure. For a 2D TE simulation, the edge of transverse plane should be set to the
    PMC boundary condition to realize the plane wave.

    FDTD - Plane wave in TE simulation

    Figure 12: Plane wave in TE simulation

    For a 2D TM simulation, the edge of transverse plane should set to the PEC boundary
    condition to realize the plane wave.

    FDTD - Figure 13 Plane wave in TM simulation

    Figure 13: Plane wave in TM simulation

    For a 3D simulation, the plane wave realization depends on the wave polarization and
    the boundary condition setup at different edges of the transverse plane. If the wave
    goes in z-direction, and the input wave is in y-direction polarization, then the y plane
    (x-z) edge should be set to the PEC and x-plane (y-z plane) edge set to the PMC
    boundary.

    FDTD - Figure 14 Y-polarization plane wave (z-direction propagation) with boundary conditions

    Figure 14: Y-polarization plane wave (z-direction propagation) with boundary conditions

    For 3D simulation, if the wave goes in z-direction, and the input wave is in x-direction
    polarization, then the y plane (x-z) edge should be set to the PMC and x-plane
    (y-z plane) edge set to the PEC boundary.

    FDTD - Figure 15 X-polarization plane wave (z-direction propagation) with boundary conditions

    Figure 15: X-polarization plane wave (z-direction propagation) with boundary conditions

    The plane wave shape can be set by setting the rectangular wave parameters in the
    Input Wave Properties dialog box. Currently, plane wave does not support the tilting
    angle. Currently, the plane wave simulation is only effective for symmetrical
    structures.

    OPTIMISM, PASSION & HARDWORK
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  • 原文地址:https://www.cnblogs.com/hiramlee0534/p/5727737.html
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