Simplified Impedance Analysis
where is the reflection coefficient of impedance as ``seen'' from impedance . If a force wave traveling along in impedance suddenly hits a new impedance , the wave will split into a reflected wave , and a transmitted wave . It therefore follows that a velocity wave will split into a reflected wave and transmitted wave . This rule is derived in §C.8.4 (and implicitly above as well).
In the mass-string-collision problem, we can immediately write down the force reflectance of the mass as seen from either string:
Since, by the Ohm's-law relations,
Mass Transmittance from String to String
Mass Reflectance from Either String