Jones matrix physical parameters for media in inhomogeneous fields

Area of Science:

• Optics and Photonics
• Electromagnetism
• Materials Science

Background:

• Inhomogeneous media exhibit complex optical properties due to physical or electromagnetic fields.
• The off-diagonal elements of the Jones matrix in such media possess both real and imaginary components.
• Electromagnetic field inhomogeneities alter the light's eigenvalue coordinate system along its path.

Purpose of the Study:

• To propose a novel Jones matrix for describing inhomogeneous-field-induced media.
• To incorporate key physical and electromagnetic parameters into the Jones matrix formulation.
• To provide a framework for analyzing light propagation and optical effects in these complex media.

Main Methods:

• Utilized unitary transformation to derive the Jones matrix.
• Defined three critical parameters: phase delay, induction angle, and inhomogeneous angle.
• Developed integral formulas for these three parameters.

Main Results:

• Successfully formulated a Jones matrix for inhomogeneous-field-induced media.
• The derived matrix accurately represents the medium's optical behavior.
• Integral formulas for the parameters enable quantitative analysis.

Conclusions:

• The proposed Jones matrix and its associated parameters are effective for analyzing inhomogeneous media.
• This framework is applicable to both fundamental optical effects and practical light propagation studies.
• Offers a comprehensive tool for researchers studying complex optical phenomena.