Electromagnetic Waves in Matter I
Index of refraction Reflection Refraction Fiber optics
EM waves in matter I
Electromagnetic Waves and Optics
1
EM Waves in Matter
dielectric constant induced charges partially "screen" E-field
E E / KE
r
Generation of EM Waves EM Waves in Matter Revisited
radiation of accelerated charges resonance and dispersion group velocity optical properties of metals
EM sources
Electromagnetic Waves and Optics
1
EM radiation in one dimension
"switch on"
Electromagnetic Waves
Maxwell's Eqs. Electromagnetic waves in vacuum Energy and momentum transport EM wave interactions with matter
EM waves
Electromagnetic Waves and Optics
1
Maxwell's Equations
differential form: integral form:
r r E =
Assignment 1A
Due Thursday, May 11 Physics U603
1. Hecht, Ch. 2: 14, 17, 22, 42; Ch. 3: 26 2. Ocean waves: The expression for the speed of (long wavelength) waves on a water surface given in the class notes is valid in deep water. In general, however
Assignment 6
Physics U603 Summer 1 2005 Due Tuesday, June 13
For the TM modes of a rectangular metal waveguide, the magnetic field is transverse to the propagation direction z, so that Bz = 0, but the zcomponent Ez of the electric field is nonzero.
Interference
two-beam interference Young's experiment Michelson interferometer thin film interference Fabry-Perot interferometer
imaging
Waves and Optics
1
Interference
equal amplitudes r
r 0
E = E0ei (k1r -t +1 ) + E0ei (k2 r -t - 2 ) r r
Vector Calculus and Conservation Laws
uses "del" or "nabla" operator
r ^ j + ^ +k = i^ z x y
components are derivatives simplifies many expressions boundary theorems (Stokes, Gauss) convert integral eqs. to differential eqs. particularly h
Guided Waves
boundary conditions waves in confined geometries wave guides optical fibers
guided waves
Electromagnetic Waves and Optics
1
Wave Guides (Light Pipes)
controlled energy transport boundary reflections direct wave not simple ray
Assignment 5B
Due Thursday, June 8 Physics U603
1. Hecht, Ch. 4: 4; Ch. 7: 22, 29 2. Derive the expression given in Hecht 7: 29 from Eq. 4.81. 3. The file mysterymetal.txt contains real and imaginary parts of the complex index of refraction as a func
Assignment 3
Due Tuesday, May 23 Physics U603
1. Hecht, Ch. 4: 14, 34, 44, 75 2. Rainbows: Rainbows result from light reflected from the inner surfaces of spherical raindrops and are visible when the Sun is behind you and the background intensity due
Assignment 1B
Physics U603 Summer 1 2006 Due Tuesday, May 16
1. The addition = Aei(k1 x-1 t) + Aei(k2 x-2 t) of two waves with different angular frequencies 1 and 2 produces beats. Assume nearby frequencies, so that 1 = - , 2 = + , k1 = k - k,
Optical Imaging
Mirrors Lenses Imaging Instruments eye camera microscope telescope .
imaging
Waves and Optics
1
Optical Imaging
reflection or refraction can create an image of an object ideally, each object point maps to an image point