An Extensive Finite-Difference Time-Domain Formalism for Second-Order Nonlinearities Based on the Faust-Henry Dispersion Model: Application to Terahertz Generation

  • B. N. CarnioEmail author
  • A. Y. Elezzabi


A nonlinear finite-difference time-domain (FDTD) formalism is developed to model dispersive second-order nonlinear effects in photonic arrangements and optical devices. The dispersion of the second-order nonlinear susceptibility, χ(2), is based on the Faust-Henry model, which makes no implicit assumption on the relationship between the linear and nonlinear dispersion. Unlike other models for χ(2) dispersion, the Faust-Henry model accurately describes a broad range of crystal classes, including the \( \overline{4}3m \) crystal class, which is essential to generating radiation in the terahertz frequency regime. As such, the developed formalism based on the Faust-Henry dispersion model overcomes limitations imposed by previous FDTD methods for modelling second-order nonlinear effects.


Finite-difference time-domain Nonlinear optics Numerical models Optical sources 



The authors are grateful for the support provided by Optiwave Systems Inc., especially Scott Newman, Ahmad Atieh, and Kevin Chu, and for the access to Optiwave’s OptiFDTD simulation software platform.

Funding Information

This research was funded by the Natural Sciences and Engineering Research Council of Canada (NSERC). This work was performed under NSERC’s Engage grant program in collaboration with Optiwave Systems Inc.


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© Springer Science+Business Media, LLC, part of Springer Nature 2020

Authors and Affiliations

  1. 1.Department of Electrical EngineeringUniversity of AlbertaEdmontonCanada

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