OCT (Optical Coherence Tomography) Time domain Frequency domain Coherence length

Confocal microscopy

T= 𝑡 𝑡 ∗ 𝑒 𝑖𝜙 1− 𝑟 2 𝑒 𝑖2𝜙 𝜙=𝑛𝑘𝑑 𝑧 0 =1 𝑧 =𝑡 𝑡 ∗ 𝑒 𝑖𝜙 =𝑡 𝑡 ∗ 𝑟 2 𝑒 𝑖3𝜙 =𝑡 𝑡 ∗ 𝑒 𝑖𝜙 =𝑡 𝑡 ∗ 𝑟 2 𝑒 𝑖3𝜙 =𝑡 𝑡 ∗ 𝑟 4 𝑒 𝑖5𝜙 …. 𝑡 ,𝑟 𝑡 ∗ ,𝑟 𝑟= 𝑧−1 𝑧+1 ,𝑡= 2z z+1 , 𝑡 ∗ = 2 z+1 h= 𝑟 2 𝑒 𝑖𝜙 = 𝑟 2 𝑒 𝑖𝑛𝑘𝑑 T= 𝑡 𝑡 ∗ 𝑒 𝑖𝜙 1− 𝑟 2 𝑒 𝑖2𝜙 𝑇= 4∗𝑁𝑠 𝑗 𝑁𝑠 𝑗 +1 2 ∗ exp −2 𝜋𝑖∗ 𝑁𝑠 𝑗 ∗𝑓 𝑗 ∗ 𝑑 𝑐 1− ( 𝑁𝑠 𝑗 −1 𝑁𝑠 𝑗 +1 2 )∗exp⁡(−4𝜋𝑖∗𝑁𝑠(𝑗)∗𝑓(𝑗)∗ 𝑑 𝑐 )) ;

𝑇𝑟𝑎𝑛𝑠𝑚𝑖𝑠𝑠𝑖𝑜𝑛= 𝑆 21 = 𝑆 21 exp⁡(𝑗𝜙)

ℎ=𝑇 1 𝑇 2 𝑒 2𝑗𝑘𝑑 or 𝑅 1 𝑅 2 𝑒 2𝑗𝑘𝑑 ℎ = 𝑇 1 𝑇 2 𝜑=2𝑗𝑘𝑑= 4𝑗𝜋𝑑 𝜆 = 4𝜋𝑗𝑓𝑑 𝑐