Two-dimensional nonlinear beam shaping

Abstract

We develop a technique for two-dimensional arbitrary wavefront shaping in quadratic nonlinear crystals by using binary nonlinear computer generated holograms. The method is based on transverse illumination of a binary modulated nonlinear photonic crystal, where the phase matching is partially satisfied through the nonlinear Raman-Nath process. We demonstrate the method experimentally showing a conversion of a fundamental Gaussian beam pump light into three Hermite-Gaussian and three Laguerre-Gaussian beams in the second harmonic. Two-dimensional binary nonlinear computer generated holograms open wide possibilities in the field of nonlinear beam shaping and mode conversion.

Fabrication of Pattern Poled Lithium Niobate Film and its Nonlinear Optical Applications

“…Furthermore, we can effectively tailor nonlinear wavefronts with designed ferroelectric domain through computer-generation holograms (CGH) [18][19][20]. Also, suitable domain structure could be flexibly introduced into LN for spontaneous parametric downconversion [21].…”

Engineering 1DPC Defect Mode With GRIN Lenses to Design Beam Shapers

“…Using different optical apparatus, we can shape laser beams, such as binary holograms [13], conical lenses [14], solid state lasers [15], and spatial light modulators [16]. Anisotropic photonic crystal beam shapers have been reported also [17], [18]. The aim of this letter is to show that 1DPC with radial GRIN lenses as the defect layers, can be engineered to achieve Manuscript specific beam profiles required for various applications.…”

Nonlinear Optical Holography

“…The concept of CGH was recently extended by us into the nonlinear optical regime. In this case, the second-order nonlinear coefficient of a crystal is modulated, so that when a fundamental light beam passes through it, a wavefront with the chosen amplitude and phase is obtained in the second harmonic.Specifically, nonlinear CGH were recently used to convert a fundamental Gaussian beam into high order Hermite-Gauss or Laguerre-Gauss beam at the second harmonic [1][2][3][4]. In addition, the nonlinear process enables to all-optically control the properties of the generated beam.…”

“…Specifically, nonlinear CGH were recently used to convert a fundamental Gaussian beam into high order Hermite-Gauss or Laguerre-Gauss beam at the second harmonic [1][2][3][4]. In addition, the nonlinear process enables to all-optically control the properties of the generated beam.…”

“…f carrier is the frequency of the carrier function, which is defined by the periodic modulation of the nonlinear coefficient. To demonstrate the concept of encoding a two-dimensional CGH in nonlinear crystals we fabricated a crystal aimed to generate in the first diffraction order three modes from the Hermite-Gaussian family, HG 11 , HG 12 and HG 21 , and three modes from the Laguerre-Gaussian (LG) family, LG 01 , LG 02 and LG 11 [3]. This was done by two-dimensional electric field poling of a SLT crystal.…”