Experiment 4 Fourier Optics + - - PowerPoint PPT Presentation

Experiment 4 Fourier Optics

𝐺 𝑙𝑦 = 𝑔 𝑦 𝑓+ 𝑗 𝑙𝑦 𝑦 𝑒𝑦

+∞ −∞

𝑔 𝑦 = 𝐺 𝑙𝑦 𝑓− 𝑗 𝑙𝑦 𝑦 𝑒𝑙𝑦

+∞ −∞

x 𝑔 𝑦 = 𝑏0 2 + 𝑏𝑛cos 𝑛 2𝜌 𝑦 Λ𝑦 + 𝑐𝑛 sin 𝑛 2𝜌 𝑦 Λ𝑦

∞ 𝑛=1

y Λ𝑦 𝑙𝑦 = 𝑛 2 𝜌 Λ𝑦

𝑙𝑦 x 𝑙 = 𝑙 𝑡𝑗𝑜 𝜄𝑦 = 𝑙𝑦 𝑙 = 𝑙𝑦 2 𝜌 𝜇0 𝜄𝑦 𝑔 𝑦 z

𝑡𝑗𝑜 𝜄𝑦 = 𝑙𝑦 𝑙 = 𝑙𝑦 2 𝜌 𝜇0 = 𝑛 𝜇0 Λ𝑦 𝑡𝑗𝑜 𝜄𝑦 = 𝑙𝑦 𝑙 = 𝑙𝑦 2 𝜌 𝜇0 = 𝑛 𝜇0 Λ𝑦 y x x 𝑡𝑗𝑜 𝜄𝑧 = 𝑙𝑧 𝑙 = 𝑙𝑧 2 𝜌 𝜇0 = 𝑜 𝜇0 Λ𝑧 𝑙𝑦 = 𝑛 2𝜌 Λ𝑦 y

𝑔 Fourier plane Back focal plane

• r

Object Fourier plane Image plane 𝑔 𝑔 𝑔 𝑔 Expanded and collimated laser beam Lens # 1 Lens # 2