# Super continuum GVD calculation

1. Jun 8, 2010

### paranoidom

So i seem to have run into a problem. I found a way to accurately measure white light pulses but i still need some help doing the math. The information i have is:

1) wavelength vs time graphs [of the white light]

2) Material - using 2 fused silica prisms to compress the white light

The math i've been following is from Diels - ultrashort laser pulse phenomena pg 100-117 (latest edition) - pdf attached

Q: How do i calculate GVD of the pulse in the graph above? Please let me know if you have any idea - i am fairly new to theoretical aspects in the field!

Thanks!

UPDATE: The derivation of GVD from Vg[group velocity] is pretty clear. But in order to obtain the GVD of the graph above, i need the Vg from the information provided[the graph]. Thats where im having trouble:

The graphs gives us:
[w=omega=angular freq]
dt/dw [$$\lambda$$=2*$$\pi$$*c/w]
dw/dk (i.e. Vg) =dt/dw * dk/dt - where k==[w*n(w)]/c and w=w(t)

this seems like a loop!

#### Attached Files:

• ###### 0122154932_disp.pdf
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1 MB
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Last edited: Jun 8, 2010