Modeling of fiber Bragg gratings written in tapered optical fibers
Citations
35 citations
30 citations
Cites background from "Modeling of fiber Bragg gratings wr..."
...For such parameters, it may be assumed that the linear reduction of the taper diameter provides an approximately linear decrease of the neff [14]....
[...]
26 citations
Cites methods from "Modeling of fiber Bragg gratings wr..."
...The ratio of optical power which propagates in the fiber core Pcore to the total optical power of the fundamental LP01 mode P is calculated using the formula [31]...
[...]
23 citations
19 citations
References
3,330 citations
"Modeling of fiber Bragg gratings wr..." refers background or methods in this paper
...An uniform FBG can be described by only one matrix given by [1]:...
[...]
...In order to evaluate transmission and reflection of the TFBG using modified transfer matrix method it is necessary to divide tapered structure into many uniform pieces (subsections), what is also called piecewise-uniform approach [1] (Fig....
[...]
...Thus, in order to simulate propagation of electromagnetic wave through the fiber Bragg grating written in tapered region it is necessary to modify transfer matrix method shown in [1]....
[...]
...1 Coupled mode theory and transfer matrix method Assuming the ideal mode-approximation, transverse component of the electric field is a superposition of ideal modes in waveguide with no perturbation [1]: j t j T j z j j z j j e y x e e z B e z A t z y x T j j E ) ( ) ( ) ( ) , ( ] ) ( ) ( [ ) , , , ( (1)...
[...]
...Note that each subsection has to fulfill condition Δl>>Λ, which mean that the length of each subsection should be much longer than grating period [1]....
[...]
1,952 citations
"Modeling of fiber Bragg gratings wr..." refers methods in this paper
...THEORETICAL BACKGROUND One of the most popular method for describing interaction between electromagnetic wave and periodic structure is coupled mode theory [3]....
[...]
1,493 citations
"Modeling of fiber Bragg gratings wr..." refers background in this paper
...Where ξw for fundamental mode can be written as [7]:...
[...]
...The relative amount of optical power which propagates in fiber core for a give optical fiber parameters can be calculated using the following formula [7]:...
[...]
44 citations
Additional excerpts
...When perturbation takes place the amplitudes Aj(z) and Bj(z) of jth mode in +z and –z directions can be written as [4]: ) ( ] [ ) ( ) ( z K e B e A j dz dA T kj z j k k z j k j k j k j (3)...
[...]
24 citations