Announcements 2/6/12 Prayer

Reading Quiz

The term describing a crystal where the index of refraction depends on the direction is:

a. anisotropicb. antisymmetricc. homogeneousd. stratifiede. superrefractive

Reading Quiz

In an anisotropic crystal, must be represented by:

a. a real numberb. an imaginary numberc. a vectord. a matrix

Calcite (calcium carbonate) http://cst-www.nrl.navy.mil/lattice/struk/caco3.html http://cst-www.nrl.navy.mil/lattice/struk/caco3.html

Susceptibility matrix

Gauss’s Law

Reading Quiz

This important equation which can be used to determine the index of refraction along arbitrary angles in anisotropic crystals,

is called:a. Fresnel’s equationb. Huygens’ equationc. Poynting’s equationd. Snell’s equatione. Stokes’ equation

Wave equation Fresnel’s Eqn

Example 1

1.2

1.3

1.4

n

in 1,1,1 directionk

Example 2

1.2

1.3

1.4

n

in 1,0,0 directionk

Example 3

1.2

1.3

1.4

n

in 1,1,0 directionk

n 1.4

Example 4

1.2

1.3

1.4

n

in 0.746712, 0, 0.665148 directionk

n = 1.3 is one of the n’s

in 0.746712, 0, 0.665148 also worksk