Synchronization of the transmitter and receiver is crucial in a free-space optical communication system for the proper transfer and retrieval of user information. In this work, we propose a method for the synchronization and recovery of the clock signal at the receiver from the optical signal modulated by a ferroelectric liquid crystal spatial light modulator (FLCSLM) in the transmitter. We have demonstrated our scheme by building an experimental arrangement that comprises an FLCSLM based computer generated holography assembly for modulating the laser beam in the transmitter and a photodiode cum micro-controller circuit in the receiver to generate the synchronized clock. We present the experimental results to demonstrate the accuracy of the recovered clock and the successful retrieval of the transmitted user information. The scheme can work for amplitude modulated, phase modulated, or complex amplitude modulated information transfer based on the FLCSLM.

Zernike polynomials are orthogonal polynomials that form a complete basis set and can be easily used to describe aberrations present in an optical system. Zernike modes find applications in various fields like adaptive optics (AO), optical imaging, ophthalmology, free space optical (FSO) communication, etc. Since the modes are orthogonal, they can express any arbitrary wavefront as their linear combinations. The orthogonality of the modes enables the calculation of the expansion coefficients and suggests the independent behaviour of the Zernike mode. In this work, we numerically estimate the wavefront, defined as Zernike modes, using various state of the art phase retrieval methods. We use the Zonal wavefront sensor (ZWFS) and Transport of Intensity Equation (TIE) for phase reconstruction and then calculate the orthogonality between reconstructed Zernike modes. It is found that the reconstructed Zernike modes are not perfectly orthogonal, which is mainly due to the discrete representation of the Zernike modes. We further investigate how the change in the number of zones in a ZWFS affects orthogonality. We also simulate TIE to retrieve the phase and compare the orthogonality results with ZWFS. This study will be helpful in applications where a wavefront described using Zernike mode needs to be reconstructed, and improvement in the orthogonality is required, which is achieved by increasing the number of zones in the ZWFS and representing Zernike modes in a more continuous form.

The wavefront measurement accuracy of a grating array based zonal wavefront sensor (GAWS) can be affected by the non-uniform focal spot array and unwanted orders in the detector plane. The non-uniform focal spot array is the outcome of the non-uniform nature of the incident illumination beam’s intensity profile. This paper describes a method that dynamically modulates the laser beam’s intensity using computer generated holography, making the focal spot array uniform and eliminating unwanted spots in a detector plane, thereby enhancing the accuracy of the wavefront measurement. Here, we present proof-of-principle simulation results that demonstrate the working of the proposed improvements in GAWS.

In this paper, we study how a propagating laser beam carrying Zernike mode aberrations in its phase profile undergoes divergence due to diffraction. We first numerically simulate the propagation of Zernike modes through different distances using the Fresnel diffraction integral. We observe that a light beam carrying different Zernike modes results in irradiance patterns of various shapes and sizes. We introduce a new parameter to quantify the divergence experienced by different modes. Based on our numerical simulation study, we then construct a functional form to quantify the divergence of different Zernike modes while propagating different distances. The results using the functional form agree very well with the numerical simulation results. The proposed functional form can be employed even for a beam carrying a combination of Zernike modes.