These maps have dimensions 1000x1000, where 1pixel = 1 arcsecond. I am setting ZL = 0.0512, then 1" = 1kpc.

Pure Sine Fluctuation Fields

• Here we are creating fluctuation fields using $sin(2\pi x/\lambda)+sin(2\pi y/\lambda)$, where $\lambda$ (wavelength) varies.
• Vertical Lines at 10, 50 and 100 kpc.

<Figure size 640x480 with 0 Axes>

<Figure size 640x440 with 0 Axes>

Circular Pure Sine Fluctuation Fields

• Here we are creating fluctuation fields using $sin(\sqrt{X^2+Y^2})$, where $\lambda$ (wavelength) varies.
• Vertical Lines at 10, 50 and 100 kpc.

<Figure size 640x480 with 0 Axes>

<Figure size 640x440 with 0 Axes>

Off-center Circular Field

• Here we are creating fluctuation fields using $sin(\sqrt{(X-\mu)^2+(Y-\mu)^2}) + sin(\sqrt{(X+\mu)^2+(Y+\mu)^2})$, where $\lambda$ (wavelength) varies.
• Vertical Lines at 10, 50 and 100 kpc.

<Figure size 640x480 with 0 Axes>

<Figure size 640x440 with 0 Axes>

Bimodal Circular Field

• Here we are creating fluctuation fields using $sin(\sqrt{(X-\mu)^2+(Y-\mu)^2}) + sin(\sqrt{(X+\mu)^2+(Y+\mu)^2})$, where $\lambda$ (wavelength) varies.
• Vertical Lines at 10, 50 and 100 kpc.

<Figure size 640x480 with 0 Axes>

<Figure size 640x440 with 0 Axes>