A CD is read by a semiconductor laser that emits a light with a wavelength of 798nm in air. The beam passes through a plastic substrate of refractive index 1.9. When half the beam illuminates a pit in the disc, part of the beam is reflected from the pit and the other part from the flat plateau between the pits, so that these two parts of the steel extinguish each other. What must the minimum pit depth be so that the part of the beam reflected from a pit extinguishes the part of the beam reflected from the flat plateau?

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A CD is read by a semiconductor laser that emits a light with a wavelength of 798nm in air. The beam passes through a plastic substrate of refractive index 1.9. When half the beam illuminates a pit in the disc, part of the beam is reflected from the pit and the other part from the flat plateau between the pits, so that these two parts of the steel extinguish each other.

 

What must the minimum pit depth be so that the part of the beam reflected from a pit extinguishes the part of the beam reflected from the flat plateau?

A CD is read by a semiconductor laser that emits a light with a wavelength of 798 nm in air. The beam passes through a plastic substrate of refractive index 1.9. When half the beam illuminates a pit in the disc, part of the beam is reflected from the pit and the other part from the flat plateau between the pits, so that these two parts of the beam extinguish each other.

**What must the minimum pit depth be so that the part of the beam reflected from a pit extinguishes the part of the beam reflected from the flat plateau?**

### Diagram Explanation

The diagram shows a cross-section of a CD structure with a laser beam directed at it. Key components include:

- **Aluminium layer:** This forms the reflective layer of the CD.
- **Pit:** An indentation in the aluminium layer where a portion of the laser beam reflects.
- **Plateau:** The flat part of the aluminium surface next to the pit, also reflecting part of the laser beam.
- **Laser beam:** Directed from below, it partially reflects from both the plateau and the pit.

Arrows indicate the reflection points of the laser beam on both the pit and the plateau. The depth of the pit is crucial for the destructive interference of the reflected beams.
Transcribed Image Text:A CD is read by a semiconductor laser that emits a light with a wavelength of 798 nm in air. The beam passes through a plastic substrate of refractive index 1.9. When half the beam illuminates a pit in the disc, part of the beam is reflected from the pit and the other part from the flat plateau between the pits, so that these two parts of the beam extinguish each other. **What must the minimum pit depth be so that the part of the beam reflected from a pit extinguishes the part of the beam reflected from the flat plateau?** ### Diagram Explanation The diagram shows a cross-section of a CD structure with a laser beam directed at it. Key components include: - **Aluminium layer:** This forms the reflective layer of the CD. - **Pit:** An indentation in the aluminium layer where a portion of the laser beam reflects. - **Plateau:** The flat part of the aluminium surface next to the pit, also reflecting part of the laser beam. - **Laser beam:** Directed from below, it partially reflects from both the plateau and the pit. Arrows indicate the reflection points of the laser beam on both the pit and the plateau. The depth of the pit is crucial for the destructive interference of the reflected beams.
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