Constructive and destructive interference happens separately. When destructive interference happens, you get a null signal. It by itself does not reinforce constructive interference elsewhere.
Lets say you get four waves. Wave 1 and 2 are constructive, 3 and 4 are destructive. 1 and 2 therefore creates Beam A.
The energy and amplitude of Beam A is equal to the energy of Wave 1 and 2, but not with 3 and 4, so that Beam A = Wave 1 + Wave 2 + Wave 3 + Wave 4. Its just Beam A = Wave 1 + Wave 2.
Linear superposition
The principle of linear superposition - when two or more waves come together, the result is the sum of the individual waves.
The principle of linear superposition applies to any number of waves, but to simplify matters just consider what happens when two waves come together. For example, this could be sound reaching you simultaneously from two different sources, or two pulses traveling towards each other along a string. When the waves come together, what happens? The result is that the waves are superimposed: they add together, with the amplitude at any point being the addition of the amplitudes of the individual waves at that point.
Although the waves interfere with each other when they meet, they continue traveling as if they had never encountered each other. When the waves move away from the point where they came together, in other words, their form and motion is the same as it was before they came together.
Constructive interference
Constructive interference occurs whenever waves come together so that they are in phase with each other. This means that their oscillations at a given point are in the same direction, the resulting amplitude at that point being much larger than the amplitude of an individual wave. For two waves of equal amplitude interfering constructively, the resulting amplitude is twice as large as the amplitude of an individual wave. For 100 waves of the same amplitude interfering constructively, the resulting amplitude is 100 times larger than the amplitude of an individual wave. Constructive interference, then, can produce a significant increase in amplitude.
Destructive interference
Destructive interference occurs when waves come together in such a way that they completely cancel each other out. When two waves interfere destructively, they must have the same amplitude in opposite directions. When there are more than two waves interfering the situation is a little more complicated; the net result, though, is that they all combine in some way to produce zero amplitude. In general, whenever a number of waves come together the interference will not be completely constructive or completely destructive, but somewhere in between. It usually requires just the right conditions to get interference that is completely constructive or completely destructive.
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Now to understand how a phased array works, lets say you got two waves. These waves are coming out from separate elements but they superimpose each other.
To get constructive and destructive interference in a controlled manner, you adjust the latency of each wave as they emit. Some go sooner and some go later. That is what you call phasing. There are algorithms that work with that to determine the phase value depending on the angle of the beam steer. The part where the waves become in phase forms the main beam, while the part where the waves becomes out of phase forms the null area, all in varying degrees so that you shape the lobe.
Sonar arrays as a note, also use the same phasing and beam steering principle mentioned.
Now if you understand this, you will understand a bit of ECW too.
Now once this idea sinks, you will also understand why phase arrays need more electrical energy than mechanical arrays, resulting in greater power sources. Null signal is just wasted energy. However, its partly offset with the lack of any mechanical energy involved in scanning.
Now you get better RF reception gain in theory over a mechanical antenna because you don't have a receiver plate in front of the receiver. True on AESA but not on PESA. However, temperature variances does affect the gain on the module due to electrical resistance brought upon by heat. Hot chip -> bad reception. Thus you need to keep it cool. Hot chips also lead to chips to breaking down.
Nothing beats the good old parabolic antenna though for RF gain, that's why you use them in astronomy. Its the sheer act of the antenna that is able to gather all the RF and focus them into a single point.
To be honest, I'm not completely sure what happens if two radar or EMF waves (including infrared, light, UV, gamma) cancel each other out. We need to deal with quantum mechanics here. I do know that if sound waves cancel each other out, they produce heat so I may got something mixed up.