In the state of polarization principle, a component is cut in a lot of trunks. Each trunk is characterized by vectors linked to local PDL and PMD values and by the Pauli's matrix. This vectorial approach is used to determine the complete characteristics of an optical assembly as a function of PDL and PMD vectors of each trunk. We particularly put in evidence the output PDL vector evolution versus the wave time constant, (e.g. versus the frequency). A study of the PDL maximum and minimum evolution (position and value) is also achieved. This study shows the posituons of the PDL maximum and minimum values are constant for the highest wave time constant values. This point out that the PDL maximum (minimum) value is obtained when the PDL and PMD vectors of each trunk are parallel (anti-parallel respectively). An evolution of this values and positions is proposed for the lowest wave time constant values. For a sufficiently high frequency, it is possible to demonstrate the assembly had an almost null PDL.
Optical components based on geometrical and refractive index variations could be studied by coupled mode theory. For that we introduce a new coupling coefficient which takes into account not only the geometrical variations, but also the core refractive index variations along the propagation axis for the coupled mode theory. The results show that the coupling coefficient between modes can be separated in a sum of two coefficients. The first one is the classic coefficient which takes into account the radius variation along axis. The second one is reported in order to study the index variation. We examine with more details the effect of the core dopants diffusion due to the heating during the fabrication process. The concatenation of a biconical tapers and long period grating is presented.
Local mode coupling theory is used for the study of the tapered fibres with a variation of the core index along the propagation axis. An application to the diffusion of the fibre dopants during the realization by melting with a CO2 laser is done. The results show that the coupling coefficient between modes can be separated in a sum of two coefficients. The first one is the classic coefficient which takes into account the core radius variation along axis. The second one is reported in order to analyse the index core variation.
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