Pattern formation of second harmonic conical waves in a nonlinear medium with extended defect structure

Y. C. Lin, Kuan-Wei Su, Kai-Feng Huang, Yung-Fu Chen*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We experimentally demonstrate the propagation of the conical second harmonic fields generated from a nonlinear crystal with extended defects to investigate their pattern formation. The generated second harmonic waves are found to be the interference of multiple Bessel-like beams that originate from distinct longitudinal layers inside the crystal. To reconstruct the experimental results, we model the individual Bessel-like beam to be the superposition of an ensemble of identical decentered Gaussian waves with random phases. We present that the randomness of the phases leads the Bessel-like beams to show wave profiles with different extent of localization. Moreover, we use the coherent superposition of the developed wave functions with a phase factor to manifest the interference of multiple Bessel-like beams. The relative phases among the Bessel-like beams are shown to be closely related to the near and far-field patterns. With the experimental observations and the theoretical model, the relative phases are decided to successfully reconstruct the propagation characteristics of the multiple Bessel-like beams.

Original languageEnglish
Pages (from-to)27859-27868
Number of pages10
JournalOptics Express
Issue number23
StatePublished - 17 Nov 2014


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