Chris Mueller's Homepage

There is no such thing as black or white.

Who is Chris Mueller?

I am an experimental physicist with a Ph.D. in physics from the University of Florida. I currently reside in Mystic, CT, but I expect to be travelling for most of the rest of 2014 in order to finalize some papers associated with my Ph.D. and visit colleagues. My Ph.D. was finished in August of 2014, and a copy of my thesis can be obtained from my research page. My Ph.D. research, which is presented in that thesis, focused on laser physics and the science of precision measurement. I worked in these areas while taking part in an international scientific experiment known as the LIGO project.

The LIGO project operates a pair of kilometer scale interferometers in the United States. One in Livingston, LA and the other in Hanford, WA. The interferometers are capable of detecting changes in length thousands of times smaller than the width of a proton, which is the sensitivity necessary to detect passing gravitational waves. Gravitational waves are given off by massive objects, such as black holes and neutron stars, moving around in outer space. These waves travel to us unimpeded from far away objects and from times in our distant past. Direct detection of these waves will open up an entirely new method of studying the world beyond our solar system.

My research is in the science of precision measurement, the study of which allows us to detect the tiny length changes caused by a passing gravitational wave. Detection of these minute changes in length is accomplished using monochromatic light (laser light) in a Michelson interferometer to compare the length of the two arms to each other. This scheme has the advantage of rejecting many of the noises which are common to the two arms while being highly sensitive to the differential length changes between the two arms. The sensitivity of the LIGO interferometers is further enhanced by adding resonant optical cavities in the arms which ensure that the light bounces back and forth many times, increasing the effective length.

The difficulty with detection of length changes at the attometer level (that is 10-18 meters!) is that many physical processes which can normally be ignored in lower precision measurements must be mitigated with intricate scientific techniques to keep the mirrors from moving more than this on their own. Some examples of these displacement noises are; seismic motion of the ground caused by human and geologic activity, thermal motion of the molecules which make up the reflecting surface of the mirror, and thermal motion of the molecules in the structure which supports the mirror. In addition to these displacement noises, the process of measuring with light has inherent noises due to the fact that light is made up of discrete packets known as photons. At high frequencies the statistics of counting photons limits the sensitivity while at low frequencies the quantum back action effect of photons transferring momentum to the mirrors is the limiting factor.

What can one find on this page?

This site is intended primarily as a repository for documents and tools which I have created during my life as a physicist. I have made an effort to keep things presentable and general enough that I hope they will be useful to others in the photonics and gravitational-wave communities. A short description is given below of the content one can expect to find by using the various navigation links around the page.

  • Links: This page contains a number of links which I have found useful during my years working at the LIGO Livingston Observatory. It is intended largely for my personal use, but perhaps it will be useful to others in the communities.
  • Tools: Contains a number of simulation tools which I have developed for modelling resonant optical interferometers. The simulation tools are written in either Matlab or Mathematica so access to those programs will be necessary for them to be useful. This page also contains some examples of how to use these tools.
  • Research: On this page one can find presentations, papers, and technical notes which I have written.
  • Teaching: This page contains materials I produced while teaching undergraduate level physics classes.
  • Things of Interest: A non-technical page on which I post things that I find interesting.
  • Contact: This page has information about how to get in contact with me. Please feel free to email me with any questions, concerns, or information which you might want to bring to my attention. I will do my best to respond in a timely manner.

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