Discussion Overview
The discussion revolves around determining the Jones Matrix of a mirror at a non-zero angle of incidence in the context of optical polarization. Participants explore the implications of angle on the matrix and consider various approaches to derive it, including the use of Fresnel equations and transformation matrices.
Discussion Character
- Exploratory
- Technical explanation
- Debate/contested
Main Points Raised
- One participant inquires about the Jones Matrix for a mirror at a non-zero angle of incidence, noting that the matrix for normal incidence is (1 0; 0 -1).
- Another participant suggests that the Jones calculus may not be suitable for this situation and proposes constructing a transformation matrix to convert between |H> and |V> states and |P> and |S> states.
- Some participants argue that using Fresnel equations for reflection is sufficient in systems involving linear and isotropic media, as there are no cross-talks between S and P polarizations.
- One participant mentions deriving a "maltese cross" pattern for high NA objectives using the Jones formalism, indicating that the components vary with azimuthal angle.
- A paper is referenced that provides detailed analysis relevant to the discussion.
- A participant expresses gratitude for the information but indicates difficulty in constructing the matrix despite finding the discussion adequate for their application.
Areas of Agreement / Disagreement
Participants express differing views on the applicability of Jones calculus and the sufficiency of Fresnel equations, indicating that multiple competing views remain and the discussion is unresolved.
Contextual Notes
There are limitations regarding assumptions about the media involved and the specific conditions under which the Jones Matrix is derived. The discussion does not resolve the mathematical steps needed to construct the matrix.