### PhD thesis - Electron Diffraction using a Cold Atom Source

Much of this thesis will be of interest to only a fairly specific audience, however there are a couple of sections that are written in a pedagogical style, and may be helpful for **students** AND **researches **who are getting into the corresponding field.

**Crystallography - Section 6.1** gives a pedagogical introduction to crystallography, and the kinematic theory of electron and X-ray diffraction. It is the introduction that I wish I had have been given in first year physics instead of reading *Introduction to solid state physics* by Charles Kittel.

**Partial Coherence - Section 3.2 **summarises coherence theory of wavefields, giving a brief, but very intuitive description of the general formalism used in the theory of partially coherent wavefields. It would be a good place to start before going for a dive into the textbooks (which can often be very dense).

**Emittance and Brightness in electron and ion beams - Section 3.1** gives an overview of measures of beam quality for classical charged particle beams. It includes a lot of diagrams, and is specifically aimed at removing the confusion and misunderstandings that are common when first entering the field. Again, it is suggested reading before diving into a textbook.

### Honours thesis - Photoacoustic Tomography Using a Michelson Interferometer

Rory Speirs Honours thesis.pdf

This is a short and sweet thesis based on the work I did in my Honours year (optional 4th year of undergraduate focused on research). **Chapters 1 & 2 **give a concise overview of **photoacoustic tomography**. Again, a worthwhile read if you are new into the field.

### Assorted notes on physics problems

Here you will find an assortment of notes and calculations I have written up because I couldn't find them online or in a textbook. My hope is that if you are working on one of these problems, the winds of the internet will blow you here, so that you don't have to repeat the work.

#### Heterodyne measurement of optical frequency combs

Heterodyne frequency combs.pdf

This is a theoretical derivation of exactly what you measure when you do an optical heterodyne measurement (measure a beat note). It summarises the formalism of representing a real electric field with a complex envelope or amplitude function, derives the optical intensity when combining beams with different frequencies on a beamsplitter, and gives the Fourier transform of the optical intensity.

#### Spatial modes in two-mode squeezing: demystified

This is very specific, but if you are doing quantum imaging using two-mode squeezed beams and find yourself confused by the term "mode", fear not, I am here to help. Read *spatial modes demystified,* and be mystified no longer.