Light propagation geometric optics

Based on the theories of geometric and wave optics, light propagates within optical fibers in the form of orthogonal modes. The light power distribution, in MM fibers, can be analyzed and characterized by using geometric and wave optics. In order to evaluate the MPD, within MM fibers, the wave equation, which is a second-order differential equation, has to be solved in cylindrical coordinate system. A summary of the MPD analysis is presented next, with an example on application to chemical and biosensors. 

The geometric description of the light propagation and the kinetics description of motion were closely correlated in the history of science. Among the main evidence of classical Newtonian mechanics is Euclidean geometry based on optical effects. In Newtonian physics, space has an affine structure but time is absolute. The basic idea is the inertial system, and the relations are the linear force laws. The affine structure allows linear transformations in space between the inertial coordinate systems, but not in time. This is the Galilean transformation ... 

Naturally this coincidence does not mean that the geometric optics added to the classical physics could be used for the exact description of the light propagation since the Michelson-Morley experiment refuted its validity forever. It is evident that there are possible new mathematical definitions for c+ and c instead of the ordinary speed addition mle of the classical physics seen in Eqs. (9) and (11). These can be compatible with the experimental results as well. 

Pseudo-Stokes parameter representation of light propagation in layered inhomogeneous uniaxial media in the geometric optics approximation... 

We have shown that the zeroth-order geometric optics approximation can be used to describe the propagation of normally incident, elliptically polarized light in an inhomogeneous, locally uniaxial medium. The approximation corresponds to finding an asymptotic solution of the wave equation in the short-wavelength limit. It is found that a set of pseudo-Stokes parameters, linearly related to the usual Stokes parameters, can be defined to characterize the propa-... 

Ankiewicz, A. and Pask, C. (1977) Geometric optics approach to light acceptance and propagation in graded index fibres. Opt. Quant. Elect., 9, 87-109. 

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