Snell's law, lens systems, thin-film optics, laser cavities, and photodetectors — interactive tools for optics, photonics, and light-matter interaction.
— simulatorsQ: How is the focal length of a lens calculated?
A: Lensmaker's equation: 1/f = (n-1)×(1/R1 - 1/R2). For a thin lens in air with both surfaces spherical. The lens equation 1/f = 1/do + 1/di relates object distance, image distance, and focal length. Magnification m = -di/do.
Q: What is the Abbe resolution limit?
A: d_min = λ/(2×NA), where NA = n×sinθ is the numerical aperture. For visible light (λ ≈ 500 nm) with NA = 1.4 (oil immersion), d_min ≈ 180 nm. Super-resolution techniques (STED, PALM) break this limit using nonlinear optical effects.
Q: How does the photoelectric effect demonstrate wave-particle duality?
A: Einstein showed that photons have energy E = hf. Electrons are ejected only when hf > φ (work function), regardless of light intensity. Maximum kinetic energy KE = hf - φ. The stopping potential V_stop = (hf - φ)/e — measurable to determine Planck's constant.
Q: What determines the efficiency of a solar cell?
A: Theoretical limit is Shockley-Queisser limit ≈ 33% for a single junction. Efficiency = Pmax/(Pin×A) where Pmax = Vmp×Imp. Key factors: bandgap (Si ≈ 1.1 eV optimal), recombination losses, reflection, and resistive losses. Multi-junction cells can exceed 45%.