In our daily lives, we often encounter dazzling reflected light. For example, on a beach under hot sunlight or on the water, glare often makes us feel uncomfortable. This is why many people choose to wear polarized glasses. The science behind this type of lens, which is effective in reducing glare reflected from smooth surfaces, can be traced back to the concept of Brewster's angle.
Brewster's angle refers to the situation where when light passes through the surface of a transparent medium at a specific incident angle, a specific polarization of light can be completely transmitted without any reflection. When unpolarized light is incident at this angle, the reflected light retains its full polarization state. The formula for this angle was discovered by Scottish physicist David Brewster and is named after him.
When light encounters the boundary between two media with different refractive indices, reflection and refraction usually occur. When light is incident at a certain angle, p-polarized light (light whose electric field is in the same plane as the incident light and the medium normal) will not be reflected. This angle of incidence can be expressed by the following formula:
θB = arctan(n2/n1)
Here, n1 is the refractive index of the first medium that the light enters, and n2 is the refractive index of the second medium that the light enters. Due to the polarization of light and the difference in refractive index, the Brewster angle determines the relationship between reflected light and refracted light.
The polarizing filter material used in polarized glasses reduces glare based on the principle of Brewster's angle. When light passes through a smooth surface (such as water or pavement), most of the light is s-polarized (polarized light perpendicular to the plane of incidence), and p-polarized light is minimally reflected. Therefore, people who wear polarized glasses can block this s-polarized light, thereby effectively reducing glare and making vision more comfortable.
In addition to its use in polarized glasses, the Brewster angle is also widely used in photography, holography and laser technology. For example, photographers often use polarizing filters to remove light reflected from water and other surfaces, making it easier for them to capture objects beneath the water. At the same time, when recording a hologram, the reference beam is usually incident at the Brewster angle to eliminate unnecessary interference effects.
In gas lasers, the use of Brewster windows can reduce the loss caused by reflection and further improve the efficiency of the laser. The pseudo-Brewster angle is another case where, when the reflecting surface absorbs light, the reflectivity of p-polarized light reaches a non-zero minimum at this angle, which is also valuable in some optical applications.
ConclusionBrewster's angle is not just a concept in physics, it plays an important role in our lives, especially in reducing visual discomfort. Whether it is polarized glasses or other optical equipment, the principle of Brewster's angle is at work behind the scenes. We should think about how scientific principles can bring us convenience and comfort in our daily lives, and whether this can give us a deeper understanding of every detail in life.