On Tue, 13 Mar 2007, Ryan Hao wrote:
In the case of line defect waveguide in photonic crystal slab,I succeed in caculating the waveguide mode with MPB.but there still something left:I must find way to project the band strucure of the regular lattice of the slab(slab mode) and the lightcone?You can see in the below picture,the blue line represent for the lightcone,and the green line represent for slab mode.

Projecting the light cone (for a uniform substrate/superstrate) is easy -- it is just the kmag output column divided by the substrate index.

For projecting the modes of the unperturbed slab, the easiest thing to do is to use the same computational cell as your line-defect waveguide, but without the defect. (In fact, you can use a smaller supercell if you want, as long as you plot the slab bands for several values of ky from 0 to 0.5, where y is the direction perpendicular to your waveguide, assuming a rectilinear supercell.)

Cordially,
Steven G. Johnson

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