Abstract: |
Conical diffraction (CD) refers to a linear optical phenomenon that produces specific types of vector beams with spatially dependent polarizations. This phenomenon occurs when a focused beam travels along one of the optic axes of a biaxial crystal [1]. Even when an input wave is uniformly polarized, CD creates a double circular ring with spatially varying linear polarization in a fashion that any two diametrically opposite points on the rings always possess orthogonal linear polarization. [1,2]. CD beams have demonstrated compelling capabilities and potential across various applications in contemporary photonics. These applications include but are not limited to optical trapping, free-space optical communication, super-resolution imaging, polarimetry, among others [2]. A significant advancement in this domain involves investigating cascaded configurations, wherein two or more crystals are arranged sequentially with their optical axes aligned. This configuration leads to an increase in the number of rings by a factor of 2N−1, where N represents the number of crystals in the cascade. More complex setups involving series of biaxial crystals and intermediary adjustments in wavevector space can yield non-circular vector structures [3]. Also, in the framework of polarization holography, such vector beams could provide efficient recording that could be achieved with any combination of the input polarizations of the object and reference waves.
Our contribution is divided in two parts and related to the previous topics: (i) exploring how the circular rings produced by cascaded configurations can be altered by conducting specific manipulations between the individual biaxial crystals and (ii) exploring the combination of CD with the recording of holograms in a nonlinear photorefractive material, all the processes of linear CD and nonlinear storage within the same medium.
Firstly, we will present our numerical and experimental work based on CD in a cascaded configuration leading to non-circular structures with either concave or convex characteristics and complex polarization distributions. This can be achieved through intermediary manipulations in wave-vector space by means of two crossed cylindrical lenses positioned in a peculiar manner. Note that these manipulations not only impact the shape, intensity, and polarization distribution of the CD structures but also influence the associated fractional optical angular momentum values. All the different aspects have been investigated in detail.
Secondly, in a more classical experiment involving only one biaxial SPS crystal, we explore the combination of CD with the recording and storage of holograms in a nonlinear photorefractive material. We demonstrate that efficient holograms can be recorded when the object wave undergoes conical diffraction, regardless of the combination of polarizations between the object and reference waves.
[1]. M. V. Berry, J. Opt. A: Pure Appl. Opt. 6, 289–300 (2004).
[2]. A. Turpin, Y. V. Loiko, T. K. Kalkandjiev and J. Mompart, Laser Photonics Rev. 10, 750 (2016).
[3]. M. W. Iqbal, N. Marsal, and G. Montemezzani, Sci. Rep. 12, 7317 (2022) |