title: Unified Theory for Polarization Analysis in Second Harmonic and Sum Frequency Microscopy.
abstract: A unified theoretical framework for the recovery of second-order nonlinear susceptibility tensors and sample orientations from polarization-dependent second harmonic generation and sum frequency generation microscopy was developed. Jones formalism was extended to nonlinear optics and was used to bridge the experimental observables and the local-frame tensor elements. Four commonly used experimental architectures were explicitly explored, including polarization rotation with no postsample optics, polarization-in polarization-out measurement, and polarization modulation with and without postsample optics. Polarization-dependent second harmonic generation measurement was performed on Z-cut quartz and the local-frame tensor elements were calculated. The recovered tensor elements agree with the expected values dictated by symmetry.
authors.affiliation: Purdue University, West Lafayette, Indiana.
authors.forename: Ximeng Y
authors.initials: XY
authors.lastname: Dow
authors.affiliation: Purdue University, West Lafayette, Indiana.
authors.forename: Emma L
authors.initials: EL
authors.lastname: DeWalt
authors.affiliation: Purdue University, West Lafayette, Indiana.
authors.forename: Justin A
authors.initials: JA
authors.lastname: Newman
authors.affiliation: Purdue University, West Lafayette, Indiana.
authors.forename: Christopher M
authors.initials: CM
authors.lastname: Dettmar
authors.affiliation: Purdue University, West Lafayette, Indiana. Electronic address: gsimpson@purdue.edu.
authors.forename: Garth J
authors.initials: GJ
authors.lastname: Simpson
mesh_terms: D000465:Algorithms; D008859:Microscopy, Polarization / Q000379:methods*; D008962:Models, Theoretical; D055620:Optical Phenomena; D011791:Quartz / Q000737:chemistry
chemical_list: D011791:Quartz