Forward and backward waves: three definitions and their interrelation and applicability

The three known property-specific definitions for forward and backward waves propagating through various media and waveguides are reviewed. Criteria by which these waves can be identified according to their definitions are introduced. It is shown that in some cases using these criteria simultaneously can yield inconsistent or even opposite results. Usability conditions and ranges of applicability of these criteria and the above definitions are specified by employing the example of electromagnetic waves and waveguides.