To calculate the Gaussian Spot Size:
\[ w_0 = \frac{\lambda \cdot f}{\pi \cdot D} \]
Where:
The Gaussian spot size refers to the radius at which the intensity of a Gaussian beam falls to \( \frac{1}{e^2} \) (about 13.5%) of its peak value. This measurement is crucial in optics and laser physics, as it determines the focus and resolution of laser beams. The spot size is influenced by the wavelength of the laser, the focal length of the focusing lens, and the diameter of the beam before focusing. Understanding and calculating the Gaussian spot size is essential for applications that require precise control of laser beams, such as in microscopy, material processing, and optical communication systems.
Let's assume the following values:
Using the formula:
\[ w_0 = \frac{500 \times 0.1}{\pi \times 0.01} \approx 1.591 \times 10^3 \text{ nm} \]
The Gaussian Spot Size is approximately 1591 nm.
Let's assume the following values:
Using the formula:
\[ w_0 = \frac{800 \times 0.05}{\pi \times 0.005} \approx 2.546 \times 10^3 \text{ nm} \]
The Gaussian Spot Size is approximately 2546 nm.
