(Advanced) The derivation of the diffraction equation depends on matching wave crests along the grating surface with openings in the grating. In the diagram at the right, the arrows indicate ray directions and the dashed lines are wave crests. Add a surface-normal line to the diagram and mark the diffracted angle on the diagram. Also sketch the right triangle sharing a hypotenuse with the grating spacing that can be used to derive the diffraction equation.

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**8. Advanced Topic: Derivation of the Diffraction Equation**

The derivation of the diffraction equation involves aligning wave crests along the grating surface with the openings in the grating. In the accompanying diagram, the arrows represent ray directions and the dashed lines symbolize wave crests. To enhance understanding:

- Add a line that is perpendicular to the surface (surface-normal line) on the diagram.
- Indicate the angle of diffraction on the diagram.
- Sketch the right triangle that shares the hypotenuse with the grating spacing, which can be used to derive the diffraction equation.

**Diagram Explanation:**
The diagram displays a surface with several thin vertical gaps. Rays are depicted by solid arrows, while wave crests are shown as dashed lines moving through these gaps. The task involves adding a perpendicular line to demonstrate the normal to the surface and sketching the right triangle for mathematical derivation.
Transcribed Image Text:**8. Advanced Topic: Derivation of the Diffraction Equation** The derivation of the diffraction equation involves aligning wave crests along the grating surface with the openings in the grating. In the accompanying diagram, the arrows represent ray directions and the dashed lines symbolize wave crests. To enhance understanding: - Add a line that is perpendicular to the surface (surface-normal line) on the diagram. - Indicate the angle of diffraction on the diagram. - Sketch the right triangle that shares the hypotenuse with the grating spacing, which can be used to derive the diffraction equation. **Diagram Explanation:** The diagram displays a surface with several thin vertical gaps. Rays are depicted by solid arrows, while wave crests are shown as dashed lines moving through these gaps. The task involves adding a perpendicular line to demonstrate the normal to the surface and sketching the right triangle for mathematical derivation.
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