AmazingPhysicsForAll

Soap Bubble

Soap Bubble. Picture credit: https//cdn.pixaby.com

Colorful Bubble

No doubt, soap bubble amazes everyone, and it is always a fun playing with it. You dip a small ring in the soap water, and then gently blow air through the ring. There comes, like a magic, a perfectly spherical soap bubble. As it drifts in the air, it starts displaying spectacular colors.

 

Have you ever wondered what makes a soap bubble so colorful? What is the physics behind this? What phenomenon paints a soap bubble with such beautiful colors? Keep reading.

Wave Basics

To comprehend how a soap bubble gets so colorful, we need to first understand a few basic concepts related to wave nature such as wavelength, phase of a wave, crest, and trough. Also, we need to find out what happens when two waves meet at a point and interfere with each other.

 

Figure 1

Consider a typical wave as the figure 1 above shows. The points where the wave has the highest amplitude are crests; where it has the lowest amplitude are troughs. The distance between two successive crests or two successive troughs is the wavelength of the wave.  The phase of the wave indicates what point the wave is at a particular time.

 

Now let us see what happens when two such waves meet at a point.

When Waves Interfere

Destructive Interference:

When two waves meet at a point, the outcome of the merger depends on what phase each wave is. For example, figure 2 below shows two waves, A and B, which are out of phase by 180°. It means that when the wave-A is at the crest phase, wave-B is at the trough phase. So, when these two waves meet at a point, they cancel (destroy) each other.

 

This is known as destructive interference of waves.

 

Figure 2

Noise cancelling headphones work on this principle. To cancel the external noise, the device generates sound waves at the same wavelength and amplitude as the incoming noise, but with a phase difference of 180 degrees, so that when they are merged the noise gets completely removed, and you just hear the music without the external noise. 

Constructive Interference:

Now let us see what constructive interference is. Take a look at the figure 3 below. Here, the two waves are fully in phase with each other all the time. That means, while the wave-A is at the crest phase, the wave-B also happens to be at the crest phase; While the wave-A is at trough phase, wave-B is also at trough phase.

 

When such waves meet at a point, they amplify each other, and the resultant wave will have double the amplitude at any point of time.

 

This is known as the constructive interference of waves.

Figure 3

Interference Of Light

Now we know what constructive (or destructive) interference of waves is. Let us get back to the soap bubble. It is obvious that the white light that falls on the bubble does something magical to produce this colorful effect. What is that magic?

 

We know that light is also a wave. To state precisely, it is an electromagnetic wave. The wave nature of light is responsible for many amazing phenomena. Interference of light is one of them.

 

Interference of light is the phenomenon that makes the soap bubble so colorful.

 

Like any mechanical wave, light waves too can undergo interference in certain situations. One of the situations is when light encounters a thin film such as the wall of a soap bubble. Let us investigate what is going on in a soap bubble.

Soap Bubble's Wall

The wall of a soap bubble consists of extremely thin layer of water sandwiched between thin layers of soap. The thickness of the wall is in the order of micrometers (One millionth of a meter). In addition, the thickness is not uniform.

 

Figure 4

Consider a ray of sunlight falling on the surface of a soap bubble. Please see the figure 4. When a ray of sunlight, incident ray, falls on the soap bubble (at point A), part of it gets reflected from the top surface and becomes R1. And the rest enters the thin layer and gets refracted.  

 

Remember, white light is made of many visible colors with different wavelengths. So, from point A to B, each color takes a different path. And when it reaches the inner surface (point B), part of the light exits the second surface and part of it gets reflected (internally) back to point A, as the figure 4 shows. That reflected ray, from point B, gets refracted again at point A and exits the outer surface to become R2.

Interfering Reflected Rays

When two such reflected rays (R1 from the outer surface and R2 from the inner surface) meet at point A, they interfere with each other. This interference of two or more light rays creates the spectacular colors on the surface of a soap bubble. The phase of R2 depends on the thickness of the wall and also on the wavelength of the light color. So, when R1 and R2 meet at point A, which could result in:

 

  1. destructive interference (that point will appear dark) if R1 and R2 are out of phase by 180°.
  1. Constructive interference (that color gets enhanced) if R1 and R2 are in phase.
  1. Partially destructive or constructive interference, if the phases of R1 and R2 are between 0 and 180 degrees. This results in the color being less bright and seeing a mixture of multiple colors.

Takeaways

In conclusion, the spectacular colors that we see on a soap bubble are the result of interference of two sets of reflected light rays: one reflected from the outer surface and the other reflected from the inner surface of the wall of a soap bubble.

 

Since the interference of these two reflected rays could be either destructive or constructive (or partially constructive), the result could be either darkness or an amplified color (or combination colors) respectively.  In addition, the thickness of the bubble’s wall is not uniform. So, there could be various degrees of constructive interference of different colors at different points causing a wide variety of colors.