Calculation of cutoff frequencies in optical fibers for arbitrary profiles using the matrix method

Abstract

We here propose a simple numerical procedure to calculate the cutoff frequencies in optical fibers with any arbitrary refractive index profile including discrete numerical data from profile measurement. The cutoff problem is transformed into a matrix eigenvalue problem and the cutoff frequencies can be obtained by determining the eigenvalues of a matrix with elements given by simple expressions.

Mathematical analysis and solution methodology for an inverse spectral problem arising in the design of optical waveguides

“…∞ is suciently large to allow the needed number of guided modes to propagate in the ber [84] [85]. Furthermore, we use the following discretization parameters:…”

Modeling of single mode optical fiber having a complicated refractive index profile by using modified scalar finite element method

“…We can also conclude that the fundamental mode of an optical fiber HE 11 behaves in a similar way as TE 01 mode of planar slab waveguide for step index profile case. Further we can calculate the waveguide dispersion by using the following expression [23][24][25], better represent these graphs we have adopted the higher order polynomial expression scheme which is discussed in next section. To compute the waveguide dispersion the value of normalized propagation constant should be an accurate enough up to at least 6 decimal points.…”

“…Since in our FEM formulation we are dealing with a single mode fiber with degenerate mode (HE 11 mode having same polarization state in principal), hence the error generated by scalar FEM while compared to vectorial FEM is negligible [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31].…”

Propagation and Characterization of Novel Graded and Linearly Chirped Type's of Refractive Index Profile Symmetric Planar Slab Waveguide by Numerical Means

“…In reality, arbitrary refractive index profile waveguide can give a better performance in light guiding characteristics. Optical waveguide may be classified roughly into two sharp categories: single mode (SM) optical waveguide which allow only one mode (of a given polarization), and multi-mode (MM) optical waveguide with multi-mode propagation [23][24][25][26][27][28][29][30][31][32][33]. Optical waveguide having an arbitrary refractive index profile can have an excellent connecting and bending characteristics as well as dispersion control performance.…”