We have all seen colorful soap bubbles (I hope) as children. The interesting patterns of color that arise in the bubble are a consequence of ambient light passing through the soap film, reflecting or transmitting off of the boundaries between soap and air, and constructively (or destructively)interfering. Let d denote the unknown soap bubble film thickness. The index of refraction of air n_air≈1, while the index of refraction in the soap film is n≈1.3. 1.1. Determine the criterion on the soap film thickness d to have constructive interference between incident and reflected light of wavelengthλ. Assume it is an incident normally on the soap film. 1.2.Visible light hasλ≈600 nm in air. Given that visible light can constructively interfere with the soap film, estimate its thickness.
We have all seen colorful soap bubbles (I hope) as children. The interesting patterns of color that arise in the bubble are a consequence of ambient light passing through the soap film, reflecting or transmitting off of the boundaries between soap and air, and constructively (or destructively)interfering. Let d denote the unknown soap bubble film thickness. The index of refraction of air n_air≈1, while the index of refraction in the soap film is n≈1.3.
1.1. Determine the criterion on the soap film thickness d to have constructive interference between incident and reflected light of wavelengthλ. Assume it is an incident normally on the soap film.
1.2.Visible light hasλ≈600 nm in air. Given that visible light can constructively interfere with the soap film, estimate its thickness.
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