Defining Sine Waves for Scientists

AI Thread Summary
The discussion centers on defining a sine wave formula based on experimental results from a laser apparatus. The sine wave is characterized by its amplitude, period, and phase shift. The key equation provided is y(x) = Asin((2π(x-d))/T), where A is the amplitude, T is the period, and d represents the phase shift. This formula helps in accurately representing the wave generated by the apparatus during its 360º rotation. The conversation emphasizes the importance of these parameters in defining the sine wave mathematically.
SimonHollas
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Dear All,

I have an apparatus that produces a graph of results that looks to me like a sine wave (a half wave plate affecting the power throughput of a laser; it goes from maximum to minimum 4x throughout its 360º rotation). My problem is that I need to define this line as a formula but have no idea where to start. Any ideas, anyone?
 
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You look at the amplitude A (maximum height) of the wave. You also find the period T on the x-axis and if the wave is out of phase, you find the distance d from the origin of how much it is out of phase in the direction of positive x. Then the equation is

y(x) = Asin \left(\frac{2\pi (x-d)}{T}\right)
 
Thanks, Quasar987!
 

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