Abstract
We present a novel approach for the design and fabrication of multiplexed computer generated volume holograms (CGVH) which allow for a dynamic synthesis of arbitrary wave field distributions. To achieve this goal, we developed a hybrid system that consists of a CGVH as a static element and an electronically addressed spatial light modulator as the dynamic element. We thereby derived a new model for describing the scattering process within the inhomogeneous dielectric material of the hologram. This model is based on the linearization of the scattering process within the Rytov approximation and incorporates physical constraints that account for voxel based laser-lithography using micro-fabrication of the holograms in a nonlinear optical material. In this article we demonstrate that this system basically facilitates a high angular Bragg selectivity on the order of 1°. Additionally, it allows for a qualitatively low cross-talk dynamic synthesis of predefined wave fields with a much larger space-bandwidth product (SBWP ≥ 8.7 × 10(6)) as compared to the current state of the art in computer generated holography.
Highlights
Within the scope of physical optics, an optical element can be thought of as a device that transforms a single or a set of input optical signals into a set of output signals
The main aim is to analyze light distributions scattered in the bulk of a volume hologram in order to develop a general method of computing the scattering potential of the aforementioned Computer Generated Volume Holograms (CGVH). We investigate how such holograms can be applied to generate a set of arbitrary orthogonal elementary waves, which can in turn be coherently superposed in order to generate optical fields with a high space-bandwidth product (SBWP)
The capability of an optical system to generate arbitrary optical fields is mainly limited by the number of degrees of freedom of the applied optical element or set of optical elements
Summary
Within the scope of physical optics, an optical element can be thought of as a device that transforms a single or a set of input optical signals into a set of output signals. Such an optical element could for instance be a simple linear optical element such as a mirror, a beam splitter or a prism. Holograms can be designed to have such transfer functions making them highly desirable in a vast number of applications. In this case these holograms are referred to as holographic optical elements (HOE) [1, 2]
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