Gaussian beam intensity distribution formula is a mathematical formula to describe the intensity distribution law of Gaussian beam. Gaussian beam is a special kind of beam, and its light intensity distribution shows the characteristics of Gaussian distribution, that is, the central light intensity is the largest and gradually attenuates to both sides. This kind of light beam has a wide range of applications in the optical field.
For example, in lasers, Gaussian beams are one of the most common types of laser beams. The formula of Gaussian beam intensity distribution can be expressed in mathematical language as: I (r) = 10 * exp (-2r 2/w 2).
Brief introduction of Gaussian beam
1(r) indicates the light intensity at the distance from the beam center r, 10 indicates the light at the beam center, and w indicates the beam waist radius. The formula shows that the light intensity distribution of the beam is a quadratic function of the distance from the center point, and its shape presents the characteristics of Gaussian distribution. The significance of this formula is that it can help us to predict and calculate the intensity distribution of Gaussian beams.
For example, in a laser, we need to know the intensity distribution of the laser beam in order to determine the power and focusing effect of the laser beam. Using the formula of Gaussian beam intensity distribution, we can calculate the intensity of laser beam at different distances by dozens, so as to better control the output of laser.
Gaussian beam intensity distribution formula can also be used to study the propagation characteristics of beams. For example, in optical fiber communication, we need to know the transmission characteristics of light beam in optical fiber in order to determine the transmission distance and transmission rate of optical fiber. Using the formula of light intensity distribution of high-period monitoring beam, the light intensity distribution of the beam in the optical fiber can be calculated, so as to better optimize the performance of the optical fiber communication system.