Physics 208

Photonic Circuits

Ultrafast optics

4 wave mixing

We look at the third order nonlinear effect and uses for Kerr lenses.

Nonlinear Wave Equation

We use coupled mode analysis to investigate the field amplitudes in three wave mixing, and look at the effect of phase mismatch on the conversion efficiency of nonlinear processes.

Phase Matching of SHG

We look at the phase matching condition for Second Harmonic Generation and also do a tuning curve example for an OPO

Nonlinear optics 1

We introduce non-linear optics and discuss various forms of 3 wave mixing including frequency converters, optical parametric amplifiers (OPAs), optical parametric oscillators (OPOs) and second harmonic generation (SHG)

2D Waveguides

We generalize the expressions for 1D waveguide to 2 dimensions and focus on the calculation of power coupled into a waveguide from a Gaussian beam.

1D waveguides

We look at both the ray picture and field picture of modes in a 1D waveguide.

Photonic Crystals

We look at the unusual properties of 2d and 3d photonic crystals

Propagation in periodic media

We look at Bloch Wave solutions to propagation in a periodic material using Fourier analysis of the material permittivity.

Electrooptics

We introduce the electrooptic tensor and do examples using the linear electrooptic effect.

Acoustooptic devices

We look at figures of merit for acoustooptic materials and limitation on modulation bandwidth in acoustooptic modulators.

Acoustooptics

We look at the Bragg condition in anisotropic materials and solve for the diffracted beam amplitude using coupled mode theory.

Jones Calculus and Liquid Crystals

We introduce Jones calculus to keep track of polarization direction and use it to describe a number of examples including polarization rotation in a twisted nematic liquid crystal.

Faraday Rotators in LIGO

We look at how aspects of this class relate to the Laser Interferometer Gravitational Wave Observatory (LIGO) and investigate the design of the LIGO Faraday Isolators

Optical Activity

We provide a physical description for the origin of optical activity and faraday rotation in a material and useeigenmodes as well as coupled mode analysis to solve for the behavior of fields propagating through an optically active material.

Index Ellipsoid

We introduce the index ellipsoid and show how it can be used to find the indices of refraction for light propagating in a crystal in an arbitrary direction.

Propagation in Anisotropic Materials

We look at solutions to the wave equation in anisotropic materials and the "normal shells" that describe of those solutions.

Maxwell's Equations in Matter

We consider Maxwell's equations in matter and use them to find the boundary conditions at an interface, and the wave equation in anisotropic materials.

Waves in Isotropic Materials

We derive the wave equation in isotropic materials from Maxwell's laws and we introduce phasor notation as a method for simplifying calculations.