Recent content by contempquant

ok i'll try that, thanks

* \frac{\partial{E_0}(\bar{r})}{\partial{Z}}

so the differential of \frac{\partial{E_0}(\bar{r})}{\partial{Z} is just one? how do i do the differential, \frac{\partial{E_0}(\bar{r})}{\partial{E}(\bar{r}) }? as it's taken w.r.t the starting function?

well that's the thing because \bar{r} isn't defined in the book (Milonni, Lasers) but only the scalar version of r is defined, which is as you wrote it above, r=\sqrt{x^{2}+y^{2}+R^{2}} Where z=R, R is the distance along the z axis

sorry, that third line under relevant equations: f=E(\bar{r})=E_{0}(\bar{r}) should read f=E(\bar{r})=E_{0}(\bar{r})e^{ikz} I think that might change the answer you gave hunt_mat?

anyone?

Homework Statement I'm trying to solve a double derivative of a function of a function problem, but can't seem to be able to differentiate once. I have the formula given by the chain rule, find \frac{d}{dz}{E}(\bar{r}) when {E}(\bar{r})={E_0}(\bar{r})e^{ikz} and \bar{r} is a function of z...

Hi, I have the book by Peter Milonni, Laser Physics. Does anyone who has this know what the p(z) and q(z) represent in the equation on gaussian beam solution to a 'beamlike' wave on page 282, under the chapter 7.5 "Gaussian beams"? \epsilon(\bar{r})=Ae^{ik(x^{2}+y^{2})/{2q(z)}}e^{ip(z)}...

no one knows?

Homework Statement Internal gravity waves are generated along the coast of Norway by the principal lunar semidiurnal surface tide (known as the M2 tide) of period 12.42 h. If the stratification frequency N is 2 x 10-3rad s-1, at which possible angles can the energy propagate with respect to...

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Here is the maple file i have used if anyone wants to look...

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