{"knowledge_schema": {"broad_category": "Physics \u2192 Wave Optics \u2192 Diffraction", "refinement": "This problem specifically deals with the diffraction of light through a circular aperture, which is a common scenario in wave optics.", "specific_scope": "The focus is on calculating the angular width of the central maximum in the diffraction pattern produced by a circular aperture of radius R when illuminated by monochromatic light of wavelength \u03bb.", "goal": "Determine the angular width of the central maximum in the diffraction pattern, which is essential for understanding the behavior of light as it passes through apertures."}, "summary": "This problem involves wave optics, specifically the diffraction of light through a circular aperture. The task is to calculate the angular width of the central maximum in the diffraction pattern created by a circular aperture of radius R when illuminated by monochromatic light of wavelength \u03bb. The solution requires applying the principles of diffraction and using the small angle approximation, leading to the conclusion that the angular width of the central maximum is given by 1.22 \u03bb / R."}