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Introductory Physics Homework Help
Wavelength of a laser within an optical cavity
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[QUOTE="Taylor_1989, post: 6075083, member: 384254"] [B]1. The problem statement, all variables and given/known date[/B] [ATTACH=full]232483[/ATTACH] [ATTACH=full]232484[/ATTACH] [h2]Homework Equations[/h2] $$\delta v=\frac{c}{2nL} \:[1]$$ $$N=\frac{\Delta v}{\delta v}=\frac{2nL\Delta v}{c} \:[2]$$ [h2]The Attempt at a Solution[/h2] I am having trouble with question 5, but have come to realize I think my cavity length is wrong but I can't see how. Here my working for question 1 Assuming that the medium is in the middle at equal distance from each mirror, then I could assume that ##L=L_{m}+2x## so subsituiting this into equation 1. $$\delta v=\frac{c}{2nL}=\frac{c}{2n(L_{m}+2x)}$$ by rearranging the equation for x $$x=\left(\frac{c}{\delta \:v}\cdot \:\frac{1}{2n}-Lm\right)\cdot \frac{1}{2}$$ so subbing ##x=0.1## I make the cavity length ##L=L_{m}+2(0.1)=0.5m##. Which seem to reasonable to me. But if I plug this length of the cavity into [2] and using the spectral range of ##3\times 10^{7}## I make the number of modes 0.3 which can't be correct. So the reason I want to workout the number of modes is so I can verify the ##600nm## via the equation ##\lambda=2\times L_{c}/N##, which dose not give the 600nm so either my cavity is length is wrong or my understanding is wrong. Any advice would be much appreciated. [/QUOTE]
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Wavelength of a laser within an optical cavity
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