The formula to calculate the diffraction angle is:
\[ DA = \sin^{-1}\left(\frac{n \cdot w}{d}\right) \]
Where:
Let's say the number of slits (\( n \)) is 5, the wavelength (\( w \)) is 0.0005 meters, and the distance between slits (\( d \)) is 0.001 meters. Using the formula:
\[ DA = \sin^{-1}\left(\frac{5 \cdot 0.0005}{0.001}\right) \]
We get:
\[ DA = \sin^{-1}(2.5) \approx 90 \text{ degrees} \]
So, the diffraction angle (\( DA \)) is approximately 90 degrees.
Far field is a term used in electromagnetism to describe one of the regions around an antenna where the far field is the dominating behavior. In this region, the electromagnetic waves propagate in a manner that can be approximated by plane waves, and the angular field distribution is essentially independent of the distance from the antenna. This concept is crucial in antenna design and analysis, as it helps in understanding how antennas radiate and receive signals over long distances.
Formula: \( \sin(\theta) = \frac{m \lambda}{d} \)
Example: \( \sin(\theta) = \frac{1 \times 500 \times 10^{-9}}{1 \times 10^{-6}} \)
Formula: \( \theta = \arcsin\left(\frac{m \lambda}{d}\right) \)
Example: \( \theta = \arcsin\left(\frac{2 \times 600 \times 10^{-9}}{1.5 \times 10^{-6}}\right) \)
Formula: \( \theta \approx \frac{m \lambda}{d} \)
Example: \( \theta \approx \frac{1 \times 700 \times 10^{-9}}{2 \times 10^{-6}} \)
Formula: \( \theta = \arcsin\left(\frac{\lambda}{d}\right) \)
Example: \( \theta = \arcsin\left(\frac{500 \times 10^{-9}}{1 \times 10^{-6}}\right) \)
