Without using formulas, you would need to know in general what happens to diffraction and interference patterns when the wavelength is increased or decreased.utkarshakash said:. . . I don't think I need any formulas. Can anyone please help?
The radius of diffraction disc is the distance from the center of the diffraction pattern to the first dark ring. It is also known as the Airy disk radius or the Rayleigh criterion.
The radius of diffraction disc can be calculated using the formula r ≈ 1.22λf/D, where r is the radius, λ is the wavelength of light, f is the focal length of the lens, and D is the diameter of the lens or aperture. This formula is based on the Rayleigh criterion, which states that the first minimum of the diffraction pattern should be at a distance of 1.22 times the wavelength from the center of the pattern.
The radius of diffraction disc is important because it determines the resolution of an optical system. A smaller radius means a sharper and more detailed image, while a larger radius indicates a less detailed image. It is also a measure of the diffraction limit, which is the smallest feature that can be resolved by the system.
The radius of diffraction disc is affected by several factors, including the wavelength of light, the focal length of the lens, and the diameter of the lens or aperture. Additionally, the type of lens and the quality of the lens surface can also affect the radius. Generally, shorter wavelengths and larger apertures result in smaller diffraction discs.
The radius of diffraction disc can be reduced by using a lens with a larger aperture or a lens with a shorter focal length. However, this may also result in other optical aberrations that can affect the overall image quality. Additionally, using shorter wavelengths of light can also reduce the radius of diffraction disc, but this may not always be possible depending on the application.