1. There is absolutely no violation of the conservation of energy. The only difference is the consideration of work done which is usually ignored.
2. The expression doesn't contain the terms of wave impedances, but the impedance is already taken care of in the equation.
For example, a source...
Yes, there is no sudden discontinuity in the power radiation as the distance between sources decreases.
The formula which represents all cases is (formula is given by Vanderkooy and Lipshitz in their paper Power response of loudspeakers with noncoincident drivers – The influence of crossover...
The 'redistribution of energy' explanation fits well when the distance between the sources, d>>λ but fails for cases when
d<<λ . Check out paper Interference and the Law of Energy Conservation as mentioned by @vanhees71.
***That is only possible if the two sources are in exactly the same place. There will always be regions where two real sources are in anti phase. So there's no need to worry that Physics got this wrong.***
- not necessarily. Consider 2 sources in phase with a distance, say λ/8. In this...
Hello Martin!
Many of the answers say that the conservation of energy is maintained because energy is 'redistributed' or goes to other location of constructive interference. This is an explanation which only roughly fits in certain cases but fails in some other.
The real explanation is not as...