Modal field analysis of circularly bent single-mode fibers

1999 ◽  
Vol 17 (5) ◽  
pp. 957-968 ◽  
Author(s):  
F. Wassmann
Keyword(s):  
Single Mode ◽  
Field Analysis ◽  
Modal Field

A Novel and Simple Formalism for Study of Effect of Kerr Nonlinearity on Petermann I and II Spot Sizes of Single-Mode-Graded Index Fiber

2019 ◽  
Vol 0 (0) ◽  
Author(s):  
Jayanta Aich ◽  
Anup Kumar Maiti ◽  
Angshuman Majumdar ◽  
Sankar Gangopadhyay
Keyword(s):  
Power Series ◽  
Single Mode ◽  
Kerr Nonlinearity ◽  
Linear Optics ◽  
Graded Index ◽  
Non Linear Optics ◽  
Simple Formalism ◽  
Element Technique ◽  
Modal Field ◽  
Analytical Expressions

AbstractWe present investigation of Petermann I and II spot sizes in the presence of Kerr nonlinearity. Our study is based on the simple power series formulation for fundamental modal field of single-mode-graded index fiber developed by Chebyshev formalism. Based on the said power series expression in the absence of nonlinearity, analytical expressions of the said spot sizes can be prescribed. Using the analytical expressions of the said spot sizes in the absence of nonlinearity, we apply iterative technique in order to predict the said propagation characteristics in presence of Kerr nonlinearity. In this context, we choose some typical single-mode step and parabolic index fibers. We show that the our results agree excellently with the exact results which can be obtained by using rigorous finite-element technique. This leads to verification of accuracy of our simple technique. Moreover, evaluation of the concerned parameters by our formalism involves little computation. Thus, our method provides an accurate but simple alternative to the existing rigorous methods in this context. Accordingly, this novel and simple formalism will prove user friendly to the system engineers in the field non linear optics.

Influence of Kerr nonlinearity on group delay and modal dispersion parameters of single-mode graded index fibers: evaluation by a simple but accurate method

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Tilak Mukherjee ◽  
Angshuman Majumdar ◽  
Sankar Gangopadhyay
Keyword(s):  
Group Delay ◽  
Single Mode ◽  
Kerr Nonlinearity ◽  
Accurate Method ◽  
Dispersion Parameters ◽  
Modal Dispersion ◽  
Graded Index ◽  
Wide Range ◽  
Propagation Parameters ◽  
Modal Field

AbstractThis paper reports simple but accurate analytical expressions of group delay and modal dispersion parameters for single-mode graded index fibers over a wide range of V numbers. The formulation employs power series expression for the fundamental modal field of graded index fiber derived by Chebyshev formalism. Choosing some typical step, parabolic and triangular index fibers as examples in our present study, we use the prescribed formulations to estimate group delay and modal dispersion parameters of those fibers both in presence and absence of Kerr nonlinearity. Iterative technique is applied for prediction of concerned propagation parameters in presence of Kerr nonlinearity. Our results show excellent agreement with the numerical exact ones both in absence and presence of Kerr nonlinearity. The exact results in case of Kerr nonlinearity are obtained using cumbersome finite element method. The execution of our accurate formalism involves little computation and is thus user friendly for technologists and researchers working in the field of nonlinear optical engineering.

scholarly journals Numerical analysis of planar multimode optical sensor with active nanolayer

2020 ◽  
Vol 50 (3) ◽  
Author(s):  
Marek Błahut
Keyword(s):  
Refractive Index ◽  
Optical Sensor ◽  
Single Mode ◽  
High Refractive Index ◽  
Field Analysis ◽  
Multimode Waveguide ◽  
Sensor Layer ◽  
Active Sensor ◽  
Mode Field ◽  
Numerical Studies

In the paper, numerical studies of the model of an optical sensor, based on interference of modes in a planar one-dimensional step-index configuration, are presented. Calculations are performed using the method of mode field analysis. The structure consists of the single-mode input waveguide, the multimode waveguide that guides only a few modes and the single-mode output waveguide. The structure is covered by a nanometer active sensor layer of a high refractive index, which changes its optical properties in contact with the measured external surrounding. The refractive index variation of an active sensor layer affects the modal properties of the multimode waveguide and the output optical field distribution. By the proper selection of the active layer, the considered configuration can be used for gas detection.

A Simple but Accurate Method for Analytical Estimation of Splice Loss in Single-Mode Triangular Index Fibers for Different V Numbers Including the Low Ones

2016 ◽  
Vol 37 (3) ◽  
Author(s):  
Rahul Debnath ◽  
Sankar Gangopadhyay
Keyword(s):  
Single Mode ◽  
Accurate Method ◽  
Splice Loss ◽  
Analytical Estimation ◽  
Series Expression ◽  
Modal Field ◽  
Analytical Expressions

AbstractWe report formulation of simple but accurate analytical expressions at the splice for both angular and transverse mismatches in case of single mode triangular index fibers. Here, we employ the simple series expression for fundamental modal field of such fibers. The analysis takes care of large

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