Double slit experiment intensity distribution

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The discussion focuses on deriving the intensity distribution of the double slit experiment, emphasizing the relationship between intensity, slit separation (d), distance to the screen (L), and wavelength (λ) under the condition L >> d. The user expresses frustration with existing resources that primarily address finding minima and maxima rather than the full intensity distribution. They understand that intensity relates to the square of the electric field and are attempting to combine two wave functions before squaring them, but are encountering difficulties. The community encourages sharing specific work to identify errors and confirms that the user's approach is fundamentally correct. Overall, the thread highlights the need for clearer resources on this topic and collaborative problem-solving.
richyw
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Homework Statement



I need to derive the intensity distribution of the double slit experiment. Intensity as a function of the slit separation d, the distance to the screen L and the wavelength \lambda. L>>d

Homework Equations





The Attempt at a Solution



Ok this is ridiculous but everything I find is just telling me how to find the minimum or maximum. I also need to figure this out for the triple and N slit problems.

I know that intensity is basically the square of the electric field. So I have been trying to make two waves and then add them together and then square them. I keep going wrong here. Is there an online resource that takes this approach?
 
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I know that intensity is basically the square of the electric field. So I have been trying to make two waves and then add them together and then square them. I keep going wrong here.
Please show your work then, so we can see what you did and what went wrong. The basic idea is right.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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