Waveguide Matlab Design

# Waveguide Matlab Design - waveguide.nb 1 TM mode shapes in...

• Lab Report
• 4

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H * TM mode shapes in a circular waveguide with radius 1 - amplitude of longitudinal electric field represented * L zeros = 88 2.405, 5.52, 8.654 < , 8 3.832, 7.016, 10.173 < , 8 5.136, 8.417, 11.620 << 88 2.405, 5.52, 8.654 < , 8 3.832, 7.016, 10.173 < , 8 5.136, 8.417, 11.62 << f @ r_, t_, n_, z_ D : = BesselJ @ n, r * z D Cos @ n t D g @ x_, y_, n_, m_ D : = f @ Min @ 1, Sqrt @ x^2 + y^2 DD , ArcTan @ x, y D , n, zeros @@ n + 1, m DDD H * here is TM 0 1 * L Plot3D @ g @ x, y, 0, 1 D , 8 y, - 1, 1 < , 8 x, - 1, 1 < , PlotPoints fi 32 D -1 -0.5 0 0.5 1 -1 -0.5 0 0.5 1 0 0.25 0.5 0.75 1 SurfaceGraphics H * here is TM 0 2 * L waveguide.nb 1

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Plot3D @ g @ x, y, 0, 2 D , 8 y, - 1, 1 < , 8 x, - 1, 1 < , PlotRange fi 8 - 0.5, 1 < , PlotPoints fi 32 D -1 -0.5 0 0.5 1 -1 -0.5 0 0.5 1 -0.5 0 0.5 1 SurfaceGraphics H * here is TM 0 3 * L Plot3D @ g @ x, y, 0, 3 D , 8 y, - 1, 1 < , 8 x, - 1, 1 < , PlotPoints fi 32 D -1 -0.5 0 0.5 1 -1 -0.5 0 0.5 1 0 0.5 SurfaceGraphics H * here is TM 1 1 * L waveguide.nb 2
Plot3D @ g @ x, y, 1, 1 D , 8 y, - 1, 1 < , 8 x, - 1, 1 < , PlotPoints fi 32 D -1 -0.5 0 0.5 1 -1 -0.5 0 0.5 1 -0.5

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