Moiré Effect with Refraction

The moiré effect has been considered in various objects, such as coplanar layers, hollow shells, and volumetric three-dimensional objects (e.g., parallelepipeds, prisms, cylinders, and LED cubes). However, the moiré effect in refracting objects filled with a transparent substance (such as liquid or glass) has not yet been investigated. We performed a theoretical and experimental study of the moiré effect in rectangular and cylindrical containers with a refractive substance. The formulas for the magnification coefficient and the moiré period in rectangular and cylindrical refracting objects were obtained. The experiments confirm the theory. This study is essential for understanding the physical properties of the moiré effect with refraction. The results can be used to measure the level and refractive index.