What is the thinnest film of a coating with n=1.42 on glass n=1.52 for which destructive interference of the red component (650 nm) of an incident white light beam in air can take place by reflection?

I ALREADY SOLVED THIS QUESTION, BUT I NEED SOMEONE TO GIVE ME THE EXACT USE OF THIS OPTICS.

The exact use of this optics application is in antireflection coatings. These coatings are used to minimize the reflection of light at the surface of a material such as glass. By reducing the reflection, more light can pass through the material, which improves the efficiency of optical systems like lenses, camera lenses, eyeglasses, and displays.

In this specific case, the question asks for the thinnest film of a coating with a refractive index (n) of 1.42 on a glass with a refractive index of 1.52, where destructive interference of the red component (650 nm) of an incident white light beam in air can occur by reflection.

When light reaches the interface between two different media, such as air and glass, some of the light is reflected back and some is transmitted through the medium. The amount of reflection depends on the refractive indices of the two media. When the refractive indices are different, there is typically some reflection.

To reduce reflection, an antireflection coating can be applied on the surface. The purpose of this thin film is to alter the phase of the reflected light in such a way that it destructively interferes with itself, thus minimizing the reflection. This interference can only occur when the thickness of the thin film satisfies certain conditions related to the wavelength of light and the refractive indices of the materials involved.

In this particular case, the objective is to find the thinnest film thickness that produces destructive interference specifically for the red component of light with a wavelength of 650 nm. By calculating the appropriate thickness of the thin film, the reflection of the red component of light can be significantly reduced.

Overall, the use of optics in this context allows for the optimization of light transmission and reduction of reflection, leading to improved performance in various optical devices.