light line equation in EBG

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ehsan_2593

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hi

I am searching for the light line equations to plot the EBG dispersion diagram in MATLAB.

Can anyone help me??

Thanks
 

The light line is non-dispersive, so you know that

\[\beta = \frac{\omega}{c}\]

Since the dispersion diagram plots Beta*d, you want to plot

\[{\beta}d = \frac{\omega}{c}d\]

Specifically, I plot my light line vs a Beta*d step of 5 degrees, for which I use the equation

LightLine(Angle5) = (1/sqrt(eps*mu))*Angle5*(pi/180)/(2*pi*(d))

Which is a simple re-arrangement of the above equation to give the frequency of the light line at an angle Beta*d
 
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hi
Thank you for guidance
 

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