170 likes | 251 Views
PC20312 Wave Optics. Section 1: Electromagnetism and Waves. Electromagnetic spectru m. André-Marie Ampère (1775-1836 ). Carl Friedrich Gauss 1777-1855. Images from Wikipedia. Michael Faraday 1791-1867. James Clerk Maxwell 1831-1879. Images from Wikipedia. E. B. k.
E N D
PC20312 Wave Optics Section 1: Electromagnetism and Waves
André-Marie Ampère (1775-1836 ) Carl Friedrich Gauss 1777-1855 Images from Wikipedia
Michael Faraday 1791-1867 James Clerk Maxwell 1831-1879 Images from Wikipedia
E B k Image adapted from Nick Strobel's Astronomy notes at www.astronomynotes.com
John Henry Poynting (1852-1914) S = -1E× B The Poynting vector is where a beam of light is pointing. Image from Wikipedia
Plane wavefronts Planar surfaces of constant phase k E = E0 exp[i(kr-wt)] Motion in +k direction
Plane wavefronts Planar surfaces of constant phase k E = E0 exp[i(kr+wt)] Motion in -k direction
Pierre de Fermat – 1608-72 Christiaan Huygens – 1629-95 Images from Wikipedia
Huygens’ wavelets Click to Huygens’ wavelets demo Or go to http://www.acoustics.salford.ac.uk/feschools/waves/diffract3.htm
Fig 1.1 Snell’s Law by Fermat Image courtesy of A. Pedlar
P • Tutorial problem: • Write optical path length, L, between S and P as function of x • Find • i = r when S h2 h1 i r x l - x l Fig 1.2 Law of reflection by Fermat
Fig 1.3 Refraction at a spherical surface A lo li S C P R si So
S3 P2 P3 Imaging with a curved surface S1 P1 C S2
Fig 1.4 Imaging with a lens Image formed by 1st surface acts as a virtual object for 2nd surface n1 n1 n2 S P P' Si,2 So,2 d So,1 Si,1