Core/cladding power distribution, propagation constant, and group delay: Simple relation for power-law graded-index fibers

1980 ◽  
Vol 70 (2) ◽  
pp. 179 ◽  
Author(s):  
D. Krumbholz ◽  
E. Brinkmeyer ◽  
E.-G. Neumann
2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Tilak Mukherjee ◽  
Angshuman Majumdar ◽  
Sankar Gangopadhyay

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.


1970 ◽  
Vol 4 (2) ◽  
Author(s):  
Mostafa H. Ali, Ahmed E. Elsamahy, Maher A. Farhoud and Taymour A. Hamdalla

Near field distribution, propagation constant and dispersion characteristics of nonlinear single-mode optical fibers have been investigated. Shooting-method technique is used and implemented into a computer code for both profiles of step-index and graded-index fibers. An error function is defined to estimate the discrepancy between the expected electric-field radial derivative at the core-cladding interface and that obtained by numerically integrating the wave equation through the use of Runge-Kutta method. All of the above calculations done under the ocean depth in which the depth will affect the refractive index that have a direct effect on all the optical fiber parameters.KeyWords: Nonlinear refractive index, Normalized propagation constant, Mode delay factor, Material dispersion, Waveguide dispersion.


2016 ◽  
Vol 8 (6) ◽  
pp. 1-10 ◽  
Author(s):  
Jiajia Zhao ◽  
Borui Li ◽  
Ming Tang ◽  
Songnian Fu ◽  
Perry Ping Shum ◽  
...  

2017 ◽  
Vol 10 (1) ◽  
pp. 101-113 ◽  
Author(s):  
Yanghyo Kim ◽  
Adrian Tang ◽  
Jason Cong ◽  
Mau-Chung Frank Chang ◽  
Tatsuo Itoh

An impulse response method is carried out to analyze waveguide's information capacity within a coherent communication system. Such capability is typically estimated according to group delay variations (seconds/bandwidth/distance) after carrier-modulated data undergoes a dispersive medium. However, traditional group delay methods often ignore non-linear effects by assuming input data stream only occupies narrow bandwidth such that a propagation constant can be linearized centered at the carrier frequency. Such a constraint can be lifted with a proposed baseband equivalent impulse response method by using frequency domain convolution and multiplication. Once the impulse response in frequency domain is secured, its time domain counterpart can be calculated based on inverse Fourier transformation. Such analysis can fully reveal data pulse's broadening and gauge its inter-symbol interference by simply convolving input data with extracted impulse response, not limited to specific frequency range or type of waveguide.


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