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Extra resources for Analysis of the Stability of Astrophysical Objects and a New Mechanism for Freeing Their Energy

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4 Thin-Film Inte rfe re nce The sa me thing happe ns fo r li ght waves. Whe n a light wa ve moves from a medium w ith a hi ghe r li ght speed (l ower index of refracti on) to a medium with a lowe r light speed (hi ghe r index o f refrac ti on), the refl ected wave is in verted . Thi s in ve rs ion of th e wa ve, called a phase challge, is equi val e nt to addin g a n ex tra hal f-wa ve le ngth AI2 to th e di sta nce th e wave trave ls. 18 , whe re a refle cted wa ve with a phase change is co mpa red to a refl ec ti o n without a phase change.

These w:lvelct:. all meet on the'sc reen at 'll1gle fl. Wavelet 2 travels d istance ~r l:! = (ll(2)sin O farther than wavelet I. 562 CHAPTER 17 Wave Optics Water waves can be seen diffracting behind the "slit" between the two breakwaters. The wave pattern can be understood using Huygens' principle. point on the wave front, is a fairly difficult problem in calculus. We' ll be sati sfied with a geometrical analysis based on just a few wavelets. 26b shows the paths of several wavelets as they travel strai ght ahead to the ce ntraJ point on the sc reen.

22 17 Wave Optics The colors of a soap bubble. ot re flected by the film. At the same time, Li g ht near 500 nm (green) interferes constructively and so is strongly reflected. Conseque ntly, a soap film of thi s thickn ess will appear green. Real soap bubbles and oil slicks have thicknesses that vary from point to point. At some thicknesses, green light is stro ngly reflected, while at others red or violet li g ht is. 22 shows that the colors of a soa p bubble are predominately greens and red/violets.

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