Recent content by Stu165

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    Frequency Stability: What Does 2 Parts in 10E10 Mean?

    I know that equation and all the coherence stuff, it's just the terminology of 2 parts in 10e10, has thrown me and how to get the shift from that.
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    Solution to Fourier Transform of f(θ) = |sin(θ)|

    forgot to look at trig identities yet. I'll try that
  3. S

    Solution to Fourier Transform of f(θ) = |sin(θ)|

    I need to find 1/pi int sin(theta)cos(mk theta) d theta from 0 - pi pi being the period excuse the type I don't know how to do the equation thing. I only find the cosine part of the transform cause it's and even function, therefore I don't integrate any sine...
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    Solution to Fourier Transform of f(θ) = |sin(θ)|

    I need to show the solution to the Fourier transfor of f(theta) = |sin(theta)|. However i think that solving this needs to be done by complex anaylsis as integration by parts just keeps going on and on. Does anyone know where to go with this?
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    Frequency Stability: What Does 2 Parts in 10E10 Mean?

    Does anyone know what it means to say that the frequency stability of a laser is 2 parts in 10E10, I gather that it means that the frequency shifts 0.02nm each side of the mean wavelength. But I can't find any resources that use the term parts.
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    How do you solve a nonhomogeneous second order ODE with a cosine function?

    I just found this out, by plugging in xsubocoswt, I got F = m (wsub0^2 - w^2) x by then using undetermined coefficients I get a value of y(t) = F / m (wsub0^2 - w^2) coswt by substituting F in I get the xcos wt
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    How do you solve a nonhomogeneous second order ODE with a cosine function?

    I would have thought you would have to work with undetermined coefficients or something
  8. S

    How Do You Solve a Nonhomogeneous Second-Order Differential Equation?

    Can anyone give me a hand with this, cause I'm stumped and can't remember exactly how to go about solving this. here's the eqn m[d^2x/dt^2 + wsubo^2 x] = F cos wt I'm supposed to show that x(t) = xsubo cos wt w is the incident freq wsubo is the resonant freq m is mass I'm stuck...
  9. S

    How do you solve a nonhomogeneous second order ODE with a cosine function?

    Can anyone give me a hand with this, cause I'm stumped and can't remember exactly how to go about solving this. here's the eqn m[d^2x/dt^2 + wsubo^2 x] = F cos wt I'm supposed to show that x(t) = xsubo cos wt w is the incident freq wsubo is the resonant freq m is mass...
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