Generalized Analytical and Numerical Modeling of Optical Second Harmonic Generation in Anisotropic Crystals and Complex Heterostructures Using #SHAARP Package

Rui Zu, Bo Wang, Jingyang He, Lincoln Weber, Jian Jun Wang, Long Qing Chen, Venkatraman Gopalan

Research output: Chapter in Book/Report/Conference proceedingConference contribution


Optical second harmonic generation (SHG) is a nonlinear optical effect widely used for nonlinear optical microscopy and laser frequency conversion. The closed-form analytical solution of the nonlinear optical responses is essential for evaluating the optical responses of new materials whose optical properties are unknown a priori. Many approximations have therefore been employed in the existing analytical approaches, such as slowly varying approximation, weak reflection of the nonlinear polarization, transparent medium, high crystallographic symmetry, Kleinman symmetry, easy crystal orientation along a high-symmetry direction, phase matching conditions and negligible interference among nonlinear waves, which may lead to large errors in the reported material properties. To avoid these approximations, we have developed an open-source package named Second Harmonic Analysis of Anisotropic Rotational Polarimetry (#SHAARP) for single interface (si) and in multilayers (ml) for homogeneous crystals. The reliability and accuracy are established by experimentally benchmarking with both the SHG polarimetry and Maker fringes predicted from the package using standard materials. and are available through GitHub and, respectively.

Original languageEnglish (US)
Title of host publicationUltrafast Nonlinear Imaging and Spectroscopy XI
EditorsZhiwen Liu, Demetri Psaltis, Kebin Shi
ISBN (Electronic)9781510665767
StatePublished - 2023
EventUltrafast Nonlinear Imaging and Spectroscopy XI 2023 - San Diego, United States
Duration: Aug 21 2023Aug 22 2023

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X


ConferenceUltrafast Nonlinear Imaging and Spectroscopy XI 2023
Country/TerritoryUnited States
CitySan Diego

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

Cite this