Generating partially coherent Schell-model sources using a modified phase screen approach

Abstract

Abstract. A significant improvement to the recently introduced complex screen (CS) method for generating partially coherent Schell-model sources is presented. The method, called the modified phase screen (MPS) technique, applies a deterministic amplitude and the phase portion of a CS to an initially coherent light source using a single phase-only spatial light modulator. The MPS technique, unlike the CS approach from which it is derived, does not produce a fully developed speckle pattern in the source plane, and therefore converges faster and more uniformly to the desired partially coherent source. The analytical development of the MPS method is presented. Experimental results of a Bessel-Gaussian-correlated Schell-model source, generated using the CS and MPS approaches, are compared to demonstrate the validity and utility of the MPS technique. © The Authors. Published by SPIE under a Creative Commons Attribution 3.0 Unported License. Distribution or reproduction of this work in whole or in part requires full attribution of the original publication, including its DOI.

M2 factor of a vector Schell-model beam

“…This process has been described in the literature many times. [31][32][33][34][35][36][37] Here, we present the necessary equations to implement the technique. Any type of vector Schell-model source can be formed by the following optical field realization: 31,33 E Q -T A R G E T ; t e m p : i n t r a l i n k -; e 0 2 6 ; 3 2 6 ; 4 9 4…”

Generation of Vector Partially Coherent Optical Sources Using Phase-Only Spatial Light Modulators

“…Note that all beam shaping, phasing, and relative amplitude control on the vertical and horizontal legs is performed using the SLMs. This field control is accomplished using the modified phase-screen (MPS) technique [47], which is briefly reviewed in the next section.…”

“…An instance of a MPS field takes the form [47] E MPS ðρÞ ¼x ffiffiffiffiffiffiffiffiffiffiffi S x ðρÞ p exp (jfarg½T x ðρÞ þ α x g) þŷ ffiffiffiffiffiffiffiffiffiffiffi S y ðρÞ q exp (jfarg½T y ðρÞ þ α y g); ð3Þ…”

“…This requirement is more stringent than the correlation condition because SLM pixels are binned to form the sawtooth grating (eight pixels are used in this work). Thus, the amplitude of the desired source is generally harder to produce than is the phase [47,51]. The requirement that σ > 5LΔ sets the effective "minimum" source size of the SLM.…”

A fast and efficient method for producing partially coherent sources

“…The third and most popular approach is to use a spatial light modulator (SLM) to actively manipulate the optical field [6,[10][11][12][13][14][15][16]. Using this method, one can generate uniformly correlated as well as non-uniformly correlated (NUC) sources.…”