Topological structures in vector speckle fields.

Area of Science:

• Optics and Photonics
• Quantum Optics
• Wave Phenomena

Background:

• Diffuse transmission scrambles the topological structure of optical fields.
• Recovering this lost information is crucial for various optical applications.
• Existing methods often struggle with complex scattering environments.

Purpose of the Study:

• To present a novel method for reconstructing the topological structure of monochromatic optical fields after diffuse transmission.
• To demonstrate the theoretical and experimental feasibility of this recovery technique.
• To establish a link between field singularities and measurable correlation functions.

Main Methods:

• Mixing a linearly polarized sample beam with a coaxial Gaussian beam in orthogonal polarizations to create a Poincaré beam.
• Analyzing and measuring the polarization-dependent spatial correlation function of the resulting vector speckle field.
• Utilizing theoretical modeling and experimental validation.

Main Results:

• The topological structure of the original optical field can be successfully recovered.
• Singularities in the sample beam are effectively imaged into the correlation function of the vector speckle field.
• The method proves robust against diffuse transmission effects.

Conclusions:

• The proposed method offers a viable approach for retrieving topological information from scattered optical fields.
• This technique has potential applications in optical metrology, imaging, and information processing.
• The connection between field singularities and correlation functions provides new insights into wave propagation through scattering media.