Abstract
The solution of Maxwell’s equations for a piecewise homogeneous medium of cylindrical symmetry has been obtained. The parameters of the cylindrical waveguide modes have been calculated on its basis. The conclusions are confirmed by numerical calculation of the first four modes of a hollow metal waveguide operating as a mode convector.
Highlights
Open AccessFiber-optic waveguides serve as a transfer medium for optical communication and information transmission systems
The mathematical model of the propagation of an electromagnetic wave in such a structure is determined by an accurate calculation
Let’s find the solution of Equation (9) for the first area filled with a homogeneous medium, where the equality is true: ε (r ) = ε1 Considering the solution (8) of Equation (7), we find the derivative of the function a(r): ( ) da dr
Summary
Fiber-optic waveguides serve as a transfer medium for optical communication and information transmission systems. Its parameters are calculated in such a way as to highlight a single mode To solve such a problem, the Helmholtz equation is usually solved in a cylindrical coordinate system, and the solutions corresponding to homogeneous regions are “stitched”, according to the rule of continuity of the tangential components of the electromagnetic field at the media boundaries. In the course of the problem, the Bessel equation was solved and its general integral was obtained, where the final solution depends on the coordinates and waveguide parameters by implicit definition via a transcendental equation that includes only elementary functions. Using this method, the parameters of all waveguide modes are calculated. Result corresponds to the theoretical conclusions and data obtained in [4]
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
