Analysis and Intrinsic Properties of the General Nonuniform Transmission Line

Closed Form Solutions for Nonuniform Transmission Lines

“…Nonuniform Transmission Lines (NTLs) are widely used in microwave circuits [1][2][3][4][5]. The differential equations describing NTLs have nonconstant coefficients, so except for a few special cases, no analytical solution exists for them.…”

Structure Function Representation of Multidirectional Heat-Flows

“…In the structure function representation [6,7], the coordinate x = R is chosen in such a way that k(x) = 1 and c(x) = K(R) so that…”

Analysis of Coupled or Single Nonuniform Transmission Lines Using Step-by-Step Numerical Integration

“…The differential equations describing these structures have non-constant coefficients, because of their length. The most used method is subdividing the nonuniform lines into many short sections [8][9][10][11][12][13]. In each section a uniform [8][9][10][11], linear [12], exponential [13] or other types of lines may be inserted.…”

“…The most used method is subdividing the nonuniform lines into many short sections [8][9][10][11][12][13]. In each section a uniform [8][9][10][11], linear [12], exponential [13] or other types of lines may be inserted. In some efforts, an exact or approximate closed form solution has been derived from the structures containing many cascaded short sections [8,9].…”

“…In each section a uniform [8][9][10][11], linear [12], exponential [13] or other types of lines may be inserted. In some efforts, an exact or approximate closed form solution has been derived from the structures containing many cascaded short sections [8,9]. These nonlinear equations have been solved analytically and without approximation only for a few special types of NTLs such as linear [12], exponential [13], power-law [14,15], binomial [16], exponential power law [17] and hermite [18] types.…”