Transmission Phenomena in Slotted Acoustic Tubes

Acoustic waves in slender axisymmetric tubes

Acoustic waves in a rigid axisymmetric tube with a variable cross-section are considered. The governing Helmholtz equation is solved using Neumann series (expansions in Bessel functions of various orders) with a stretched radial coordinate, leading to a hierarchy of one-dimensional ordinary differential equations in the longitudinal direction. The lowest approximation for axisymmetric motion in...

Time-slotted transmission over molecular timing channels

This work studies time-slotted communication over molecular timing (MT) channels. The transmitter, assumed to be perfectly synchronized in time with the receiver, is required to send K bits to the receiver using K information particles. It releases a single information particle in each time-slot, where the information is encoded in the time of release. The receiver decodes the transmitted infor...

Computational studies of emergent autowave phenomena in capillary tubes

Travelling autowaves are a particular feature of nonlinear active media. Those waves are characteristic of action potential propagation in cardiac and neuronal tissue, while qualitative analogous phenomena can be produced in man–made physico–chemical laboratory experiments, such as the Belousov–Zhabotinsky reaction (BZR). The waves can appear in several forms: straight, curved and circular fron...

Waveguide Simulation of Non-Cylindrical Acoustic Tubes

Optimal Transmission Probabilities for Slotted ALOHA in Fading Channels