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Calculate the Angle of Incidence

Angle of Incidence Formula:

\[ \theta_i = \sin^{-1}\left(\frac{n_2}{n_1} \times \sin(\theta_r)\right) \]

degrees

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1. What is the Angle of Incidence?

The angle of incidence is the angle between the incident ray and the normal (perpendicular line) to the surface at the point of incidence. It's a fundamental concept in optics that determines how light bends when passing between different media.

2. How Does the Calculator Work?

The calculator uses Snell's Law to determine the angle of incidence:

\[ \theta_i = \sin^{-1}\left(\frac{n_2}{n_1} \times \sin(\theta_r)\right) \]

Where:

Explanation: The equation relates the angles of incidence and refraction to the refractive indices of the two media.

3. Importance of Angle of Incidence Calculation

Details: Calculating the angle of incidence is crucial for understanding light behavior at boundaries, designing optical systems, and predicting phenomena like refraction and total internal reflection.

4. Using the Calculator

Tips: Enter the refractive indices of both media and the angle of refraction. The angle must be between 0 and 90 degrees. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is total internal reflection?
A: When light travels from a denser to a rarer medium at an angle greater than the critical angle, it's completely reflected back into the denser medium.

Q2: What are typical refractive index values?
A: Air ≈1.0, Water ≈1.33, Glass ≈1.5-1.9, Diamond ≈2.42.

Q3: Does the angle of incidence equal the angle of reflection?
A: Yes, according to the law of reflection, but this calculator deals with refraction, not reflection.

Q4: What happens when n1 < n2?
A: Light bends toward the normal when entering a denser medium (n2 > n1).

Q5: Can this calculator handle complex cases?
A: This calculates basic cases. For anisotropic materials or complex geometries, more advanced tools are needed.

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