# Different Loudness Sound Waves and Destructive Inteference

• Just a dude
In summary, the smaller volume sound waves can partially cancel out the larger volume sound waves, but the larger sound wave will be largely canceled out.
Just a dude
Summary:: Can smaller volume sound waves completely cancel out larger volume sound waves, and if not to what degree will the larger sound be canceled out.

Hello everyone, just had a question regarding destructive interference.

So I am in the process of writing/designing a sci-fi/fantasy power system and I am now working on the detection/sensing scheme (determining the presence or location of targets) and thought to base my idea on sound theory. The idea I'm working on is that users of said power system passively emit their own unique wave that travels throughout an area and bounces back when it hits the source of another wave to alert them to the position of another user. I was also hoping to create a method in which people who want to stay hidden can use to avoid detection and thought to use destructive inteference as a potential model, where the target can stay hidden by sending out an identical, but opposite wave over an area that cancels out the signal. Note that this is intended to work over large regions such as countries or continents.

In the power system I created the more powerful individuals send out waves with more volume and weaker individuals send out lower volume waves, and I intend for even weaker individuals to have the ability to stay hidden, but I'm not sure how effective it will be in doing so and want to keep things somewhat logically sound.

My question is does can lower volume waves cancel out larger volume waves completely, and if not, to what degree is the cancellation when destructive interference occurs?

Just a dude said:
My question is does can lower volume waves cancel out larger volume waves completely, and if not, to what degree is the cancellation when destructive interference occurs?
No. Lower volume sound would merely modulate the louder sound wave.

Just a dude
It is a feasible theoretical situation to have a number of low intensity sources of waves to cause cancellation of the waves from a single high intensity source.
You can apply the basic equations for diffraction / interference of multiple sources. The contributions of the vectors from all sources can add up to zero BUT the region where this can be achieved is very small and (of course) very sensitive to the frequency being used. In practice, sound is a very poor wave example for this to work because the propagation through the air is extremely variable - much worse than radio frequency EM waves - and the existence of objects along the path - makes it a very bad system.

Just a dude
sophiecentaur said:
It is a feasible theoretical situation to have a number of low intensity sources of waves to cause cancellation of the waves from a single high intensity source.
You can apply the basic equations for diffraction / interference of multiple sources. The contributions of the vectors from all sources can add up to zero BUT the region where this can be achieved is very small and (of course) very sensitive to the frequency being used. In practice, sound is a very poor wave example for this to work because the propagation through the air is extremely variable - much worse than radio frequency EM waves - and the existence of objects along the path - makes it a very bad system.

So because since a single low intensity wave itself can't completely cancel out a single high intensity wave a possible solution is to use several smaller ones to achieve the same thing? Yeah ok, I can get behind that.

The wave itself is not actually sound (honestly haven't even thought of what it is) I just thought using those properties would work well. Also the wave itself passes through all objects except those who also emit waves of the same kind, so it should ignore everything else.

I appreciate the feedback btw, is there anything else I can keep in mind or improve on?

Just a dude said:
is there anything else I can keep in mind or improve on?
You would really need to introduce a different form of wave that is, as yet, unknown. Your model is a bit 'open' at the moment but you should really be asking what sort of accuracy of 'location' is required and how your waves will interact with the 'receiver' and the other items in the environment. You are talking quasi engineering so the rules of engineering apply to some extent.

Having though a bit more about your idea, I realize that you don't actually need to find a location where there is complete cancellation. If you look at this link about Hyperbolic Navigation Systems, you can find out how the Decca Navigator operated. It depends on measuring the time differences between three or more highly synchronised radio signals, received by a boat and doesn't depend on amplitudes being the same. Much better altogether and I'm sure you could blag your way through a good enough explanation to convince readers about it. (The term Hyperbolic should carry a bit of weight!)

A vast amount of money was spent on developing such systems and they could provide accurate enough location information for (in ideal conditions) a fisherman to locate, in mist, the crab pots he put down the previous day. Not as good as GPS, which rapidly displaced it, but well worth having.

## 1. How do sound waves differ in loudness?

Sound waves can differ in loudness based on their amplitude, which is the measure of the height of the wave. The higher the amplitude, the louder the sound will be. So, sound waves with higher amplitudes will be perceived as louder than those with lower amplitudes.

## 2. What is destructive interference in sound waves?

Destructive interference in sound waves occurs when two waves with opposite amplitudes meet and cancel each other out. This can result in a decrease in the overall loudness of the sound, as the two waves essentially cancel each other out.

## 3. How can destructive interference be used in sound technology?

Destructive interference can be used in sound technology to cancel out unwanted noise or echoes. By producing a sound wave with the exact opposite amplitude of the unwanted noise, the two waves will cancel each other out, resulting in a quieter sound environment.

## 4. Can sound waves with different loudness interfere with each other?

Yes, sound waves with different loudness can interfere with each other. However, the resulting interference will depend on the relative amplitudes of the two waves. If the amplitudes are similar, they may create a constructive interference, resulting in a louder sound. But if the amplitudes are vastly different, they may cancel each other out and result in a decrease in loudness.

## 5. How can we measure the loudness of sound waves?

The loudness of sound waves can be measured in decibels (dB). This scale is based on the human perception of loudness and ranges from 0 dB (threshold of hearing) to 140 dB (threshold of pain). A sound meter can be used to measure the decibel level of a sound wave and determine its loudness.

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