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2010 PHYSICS 002C Lecture 17

2010 PHYSICS 002C Lecture 17 - PHYSICS 002C Lecture 17 May...

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PHYSICS 002C Lecture 17 May 7, 2010 Serway and Jewett Chapter 27.7-8 – Wave optics Clicker Q1: The resolution of an optical instrument is the separation at which a) two point objects; b) one point object; c) three apertures; d) two image tubes; e) two hydrogenous bleepums; can be distinguished as such. Euclid ~300 BC Clicker Q2: A diffraction grating is a set of a) wiggly lines; b) randomly spaced parallel lines ; c) mutually perpendicular lines; d) evenly spaced parallel lines; e) randomly spaced perpendicular lines; drawn on a transparent or reflecting surface. When I say that nobody knows why, for example, there is no ether, do not worry. Euclid chose his axioms to be self evident, which meant that his geometry would be a good predictor of geometrical relations in the world of ordinary experience. For 181 years it has been known that one may change the axioms to describe something other than our ordinary world experience perhaps. Playfair (1748-1819) (1829) Nikolai Ivanovich Lobachevsky dispenses with Euclid’s 5 th postulate – At most one line can be drawn through any point not on a given line parallel to the given line in a plane (John Playfair). For 79 years it has also been known that there is no way to explain your axioms and no way to prove your theory covers everything. (1931) Kurt Gödel's incompleteness theorems establish inherent limitations of all but the most trivial axiomatic systems for mathematics. “This sentence is false.” (1936) Turing proves “There is no algorithm that can decide, for all program + input pairs, whether a program with a given input will halt after a finite number of steps.” Modern physics is the quest to discover a minimal set of axioms that accurately describe our world and to work out the implications of those axioms. So be glad that we know “what” even though we don’t know “why”. Chap 27.4 Change of phase due to reflection. There is a reversal of phase upon reflection from a material of higher index or from a metallic surface. Chap 27.5 Interference in thin films Antireflection coatings are ¼ wave length in thickness.

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