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In a complementary light double-slit experiment, the objective is to manipulate the light waves in such a way that they interfere constructively or destructively at the location of the light source. This can be achieved by adjusting the relative path lengths of the light waves from the two slits.

To pull, return, and bring the light back to its source in this experiment, you would need to apply a few key steps:

  1. Setup: Start by arranging the double-slit apparatus in a suitable experimental setup. This typically involves a coherent light source (such as a laser), a barrier with two slits, and a screen or detector to capture the interference pattern.

  2. Splitting the light: Ensure that the coherent light beam from the source is directed towards the double-slit barrier. The barrier should have two narrow slits that allow the light to pass through.

  3. Propagation: The light waves passing through the slits will diffract and spread out. The two diffracted beams will overlap and create an interference pattern on the screen or detector.

  4. Adjusting the path lengths: To manipulate the interference pattern and bring the light back to its source, you need to adjust the path lengths of the light waves from the two slits. This can be done by introducing optical elements such as mirrors or lenses.

    a. To pull the light back towards its source, you can introduce an optical component that increases the path length of one of the beams. This could involve using a mirror to reflect one of the beams in such a way that it travels a longer distance.

    b. To return the light to its source, you need to ensure that the path lengths of the two beams are equal. Adjust the optical elements to make the path lengths from the two slits match.

    c. Bringing the light back may require reversing the path length adjustment performed in the previous step. For example, if you used a mirror to increase the path length of one beam, you can remove or adjust the mirror to make the path lengths equal again.

  5. Observe the results: After adjusting the path lengths, observe the interference pattern formed on the screen or detector. If the path lengths are correctly adjusted, you should observe constructive or destructive interference at the location of the light source.

It's important to note that performing such manipulations in a double-slit experiment can be technically challenging, especially when it comes to precisely controlling the path lengths of the light waves. This explanation provides a conceptual guide, but the specific implementation would require expertise in optics and experimental setup.

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