Supernumerary arcs of rainbows: Young’s theory of interference
Author:
- 15 May 2017
- journal article
- Published by Optica Publishing Group in Applied Optics
- Vol. 56 (19) , G104-G112
Abstract
Supernumerary arcs on rainbows are historically important because in the early 1800s they provided evidence in favor of the wave theory of light. The success of Airy’s rainbow integral has overshadowed the earlier contribution from Young, who proposed that supernumerary arcs were caused by interference between two geometrical rays that emerge from the raindrop at the same scattering angle. Airy dismissed Young’s idea as “the imperfect theory of interference” because it predicted supernumerary arcs at the wrong angles. Young was unaware that a light ray encountering a focal line can suffer a phase shift of 90°. If these phase shifts are taken into account, the theory of interference becomes surprisingly accurate.Keywords
This publication has 19 references indexed in Scilit:
- Revisiting Gouy phaseOptics Communications, 2007
- Exuberant interference: rainbows, tides, edges, (de)coherence...Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2002
- Physical origin of the Gouy phase shiftOptics Letters, 2001
- Intuitive explanation of the phase anomaly of focused light beamsJournal of the Optical Society of America, 1980
- The Amateur ScientistScientific American, 1980
- The Theory of the RainbowScientific American, 1977
- I. The Bakerian Lecture. Experiments and calculations relative to physical opticsPhilosophical Transactions of the Royal Society of London, 1804
- I. A description of an extraordinary rainbow observed July 15, 1748Philosophical Transactions of the Royal Society of London, 1749
- IV. Extracts of several letters to the Publisher, from the Reverend Dr. Langwith, Rector of Petworth in Sussex, concerning the appearance of several arches of colours contiguous to the inner edge of the common rainbowPhilosophical Transactions of the Royal Society of London, 1723
- A letter of Mr. Isaac Newton, Professor of the Mathematicks in the University of Cambridge; containing his new theory about light and colors: sent by the author to the publisher from Cambridge, Febr. 6. 1671/72; in order to be communicated to the R. SocietyPhilosophical Transactions of the Royal Society of London, 1672