Mueller Matrix Method

When r = 2V2 r, T(-90°) = 0 and T(270°) = 0.965 [26]. With the help of the simplified Mueller matrix method and the Poincare sphere, a general condition for optimized performance can be derived. The optimization considered here is only for one wavelength. In reality, the... 

M could be considered as an equivalent Mueller matrix corresponding to a hypothetical equivalent optical element which substitutes for the overall effect of E Ej, ,E . In many cases the equivalent element can really exist so that the analysis on the basis of the Stokes-Mueller method would often be able to predict the simplest solution to a given optical problem. Let us consider a few typical examples for the application of the method. 

These two examples give some idea about the use of the Stokes-Mueller method and show its effectiveness. All Mueller matrices for optical polarization components used in the present chapter have been taken at exact positions such as 0°, 90°, 45°, etc. in order to avoid complicated expressions which might obscure the principle of the method. Of course, any arbitrary position of the optical elements could be considered by the Stokes-Mueller method. In such cases the rotated Mueller matrix M 6) is obtained as a result of the transformation. 

The coherency matrix method permits the so-called dominant type of deterministic polarization transformation i.e., the corresponding deterministic part, Mueller-Jones matrix, of the initial Mueller matrix. A Jones matrix J is a 2x2 complex valued matrix containing generally eight independent parameters from the real and imaginary parts for each the four matrix elements, or seven parameters if the absolute (isotropic) phase which is not of interest for polarizations is excluded. Every Jones matrix can be transformed into an equivalent Mueller matrix but the converse assertion is not necessarily true. Between Jones J and Mueller Mj matrices that describe deterministic objects there exist a one-to-one correspondence ... 

Bowden, E. T., Coopman, P. J., and Mueller, S. C. (2001). Invadopodia Unique methods for measurement of extracellular matrix degradation in vitro. Methods CeU. BioL 63,613-627. 

---