A method to calculate arbitrary linear polarized laser beam evolutions in GRIN lenses

Ko Fan Tsai, Shu Chun Chu

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


This study proposed a method for calculating any arbitrarily linear polarization paraxial optical field propagation in Gradient-index (GRIN) lens. The proposed method uses multiple thin-phase sheets to approximate a GRIN lens. This study also compares the proposed method with the other well-known method. That is, using a single lens equivalent optical system of Fractional Fourier transform (FrFT) to simulate a GRIN lens. The evolution in GRIN lenses of many special beams have been calculated by the FRFT-method. This study use both methods to calculate the Helmholtz-Gauss beam evolution in GRIN lenses of a small and a high gradient constant, respectively. Numerical results shows that the differences between two calculation methods appeared while the GRIN lens of a high gradient constant. This study provides an alternative approach could calculate the linearly polarized field evolution in GRIN lenses with higher precision, which will be useful to the optical design of GRIN lens systems.

Original languageEnglish
Title of host publicationComplex Light and Optical Forces VII
Publication statusPublished - 2013
Event7th Conference on Complex Light and Optical Forces - San Francisco, CA, United States
Duration: 2013 Feb 52013 Feb 7

Publication series

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


Other7th Conference on Complex Light and Optical Forces
Country/TerritoryUnited States
CitySan Francisco, CA

All Science Journal Classification (ASJC) codes

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


Dive into the research topics of 'A method to calculate arbitrary linear polarized laser beam evolutions in GRIN lenses'. Together they form a unique fingerprint.

Cite this