What is it about?

The problem of wave dispersion due to the transmission line inhomogeneity has important theoretical and engineering applications. The exactly solvable model helps to better understand the physical process. The flexibility of the model with distributed parameters is that system properties can change both in a jump, and continuously, can change quickly or slowly, increase and decrease. Deriving rigorous expressions for the complex reflection and transmission coefficients, interesting cases are analyzed: the passage of waves without phase change, the reflectionless passage, and the passage of signals through a barrier sequence. The formalism is useful for a wider range of problems.

Featured Image

Why is it important?

• Exactly solvable model helps to better understand the physical process. • Interesting classical phenomenon: wave dispersion and tunneling regime appears due to the transmission line inhomogeneity. • Regulating properties of the system: jumply or continuously, quickly or slowly, in both directions - include wide possibilities. • Rigorous expressions for reflection and transmission coefficients are derived; approximation methods can be evaluated. • Reflectionless passage, and passage through a barrier sequence are analyzed, that can have important practical applications.


Writing this article was a great pleasure due to the collaboration with co-authors. The article contains a further development of the barrier approach, which can be applied to a wide range of tasks.

Dr. Sergey N. Artekha
Space Research Institute of RAS

Read the Original

This page is a summary of: Exactly solvable model for transmission line with artificial dispersion, Journal of Applied Physics, July 2020, American Institute of Physics, DOI: 10.1063/5.0010700.
You can read the full text:




The following have contributed to this page