Abstract: This work focuses on expanding the capabilities of single pixel imaging. Single pixel imaging is a class of imaging that encodes spatial information on a temporal signal using a single element detector; having knowledge of the encoding allows the time signal to be reconstructed to generate a spatial image. A canonical example of single pixel imaging is laser scanning microscopy (LSM). More complicated encoding systems have been developed but the basic idea for reconstruction remains the same. There are several advantages conferred to single pixel imaging such as image formation is resistant to scattering, very fast temporal response, flexibility in detector selection at a given wavelength, and exotic imaging information.

My research primarily utilizes two techniques, SPatIal Frequency modulated Imaging (SPIFI) and Coherent Holographic Image Reconstruction by Phase Transfer (CHIRPT), both are explained in detail. My research aims to expand the capability's of SPIFI by providing a method for homogenizing the anisotropic resolution observed in the higher orders, additionally, I present a method of solving the inverse problem that allows the measurement matrix to more accurately represent to true image formation process there by increasing the performance of the reconstruction. I present research for CHIRPT which takes advantage of the encoded coherent phase information of two interfering beams to measure the quantitative phase of an object. I also present a new technique utilizing CHIRPT's holographic phase information to extend optical diffraction tomography to incoherent emitters which has long been an illusive task.

Adviser: Randy Bartels
Co-Adviser: N/A
Non-ECE Member: Jennifer Muller, Math
Member 3: Ali Pezeshki, ECE
Addional Members: Jesse Wilson, ECE

Publications:
Gabe Murray, Patrick A. Stockton, Jeff Field, Ali Pezeshki, Jeff Squier, Randy A. Bartels, Super resolution computational saturated absorption microscopy, Optics Letters, (under review)

Patrick A. Stockton, Gabe Murray Jeffery J. Field, Jeff Squier, Ali Pezeshki, Randy A. Bartels, Tomographic single pixel spatial frequency projection imaging, Optics Communications, (under review)

Patrick A. Stockton, Jeffrey J. Field, Jeff Squier, Ali Pezeshki, and Randy A. Bartels, "Single-pixel fluorescent diffraction tomography," Optica 7, 1617-1620 (2020)

Sandro Heuke, Siddharth Sivankutty, Camille Scotte, Patrick Stockton, Randy A. Bartels, Anne
Sentenac, and Herv Rigneault, ”Spatial frequency modulated imaging in coherent anti-Stokes
Raman microscopy,” Optica 7, 417-424 (2020)

Patrick A. Stockton, Keith A Wernsing, Jeffery J. Field, Jeff Squier, Randy A. Bartels, ”Fourier
computed tomographic imaging of two dimensional fluorescent objects”, APL Photonics 4, (2019)

Camille Scott, Siddharth Sivankutty, Patrick Stockton, Randy A. Bartels, and Herv Rigneault,
”Compressive Raman imaging with spatial frequency modulated illumination,” Optics Letters 44,
1936-1939 (2019)

Patrick A. Stockton, Jeffrey J. Field, Randy A. Bartels, Single pixel quantitative phase imaging
with spatial frequency projections, Methods, Volume 136, (2018)

Reed Hollinger, Clayton Bargsten, Vyacheslav N. Shlyaptsev, Vural Kaymak, Alexander Pukhov,
Maria Gabriela Capeluto, Shoujun Wang, Alex Rockwood, Yong Wang, Amanda Townsend, Amy
Prieto, Patrick Stockton, Alden Curtis, and Jorge J. Rocca, ”Efficient picosecond x-ray pulse
generation from plasmas in the radiation dominated regime,” Optica, (2017)

Program of Study:
ECE 546
ECE 569
ECE 503
ECE 504
ECE 513
ECE 581A9
ECE 581B7
ECE 604