(Reflected wave) adding voltage / subtracting current

[nomisme]

why we add reflected voltage to the input voltage but subtract current from the input current?

Also why the reflected current is shown on the other side of the load, traveling back to the input source but not on the same path where it travels from?

Does voltage wave reflect the same way as current does?

 

[Baluncore]

Start here with the special cases of an open circuit and a short circuit.
http://en.wikipedia.org/wiki/Reflections_of_signals_on_conducting_lines#Specific_cases

 

[sophiecentaur]

why we add reflected voltage to the input voltage but subtract current from the input current?

Also why the reflected current is shown on the other side of the load, traveling back to the input source but not on the same path where it travels from?

Does voltage wave reflect the same way as current does?

It's all to do with the Boundary Conditions at the reflecting surface. If the surface is a perfect conductor, the voltage drop across the surface must be Zero and the currents will 'adjust' to ensure that. This will account for the resulting H field in the reflected wave, I think.