Recent content by CasualDays

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    Raman Spectroscopy, A Few Questions

    Using a PMT/Monochromator, we have Surface Enchanced Raman Vials we are using to analyze samples. One thing I am trying to figure out: The so called finger print region is 500-3000 wavenumbers after the wavelength of the laser you are using. In our case, we are currently using a 200mW 532nm...
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    Simulating a Fabry Perot Interferometer

    I tried using Density Plot with this equation,letting theta approach zero, and tried varying t and I0 but still no luck. For some reason, it doesn't seem very common to create fringe patterns digitally, or at least, I haven't really found any good info on it. Probably help if I'd taken...
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    Simulating a Fabry Perot Interferometer

    I am making an attempt at simulating interference patterns of a Fabry Perot interferometer. I have fully derived the transmission function and the coefficient of finesse. T=\frac{I0 T^{2}}{(1-R)^2} + \frac{1}{1+FSin^2(\frac{\delta}{2})} Where F=\frac{4R}{(1-R)^2} and \delta =...
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    Exploring the Relationship between the Step Function and Dirac Delta Function

    It's always the easy solutions that allude me..:biggrin:
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    Exploring the Relationship between the Step Function and Dirac Delta Function

    Derivative Using Dirac Delta Function Homework Statement Let \theta(x) be the step function: \theta(x) be equivalent to 1, if x > 0 0, if x \leq 0 Show that \frac{d \theta }{dx} = \delta(x) Homework Equations In the previous portion I was able to prove x \frac{d}{dx}...
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    Calculus tools I have found helpful

    I wish I would had this when I took calculus :bugeye:
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    Weird PMT Signal: Help Solve Distortion

    Right now I am working with: PMT: Hamamatsu R928/0115/0381 PMT Power Supply: McPherson PMT Power Supply Model # 7640 O-Scope: Tektronix TDS 5104 Oscilloscope PMT Housing: PhotoCool Housing PMT Housing Power Supply: PhotoCool Power Supply Input: 200 mW 532 nm ND:YAG laser I have...
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    Moment of Intertia of Spherical Cap?

    So: I_z = \frac{1}{2}\rho\pi\int_{z_0}^r (4-z^2)^2 dz where z_0=1
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    Moment of Intertia of Spherical Cap?

    Thinking through your method, I first tried converting x^2+y^2+z^2=4 to cylindrical and I got: r(z)=\sqrt{4-z^2} Then, I attempted a single integral with this equation: I = \frac{1}{2}r^2\rho\int_{z_0}^r \sqrt{4-z^2}dz where I assumed z_0=r-h for h=1 and r=2...
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    Moment of Intertia of Spherical Cap?

    [SOLVED] Moment of Intertia of Spherical Cap? Homework Statement I am having some serious trouble trying to setup this problem.. Find the rotational intertia about the z axis of a spherical cap cut from the sphere x^2+y^2+z^2=4 by the horizontal plane z=1. Homework Equations...
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