Differences Between 4<italic>f</italic> Lenses System and Single Lens in Particle Field In-Line Holography

Table 1. Formula contrast between single lens and 4f lenses system
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Table 1. Formula contrast between single lens and 4f lenses system
Formula type Single lens 4f lenses system
Longitudinal imagingformula x'=-f²/x x'=( $\begin{matrix} f_{2}^{2} \end{matrix}$ / $\begin{matrix} f_{1}^{2} \end{matrix}$ )x
Transverseimaging formula h'=hf/x h'=-hf₂/f₁
Transversemagnification f/x -f₂/f₁
Longitudinal magnification f²/x² $\begin{matrix} f_{2}^{2} \end{matrix}$ / $\begin{matrix} f_{1}^{2} \end{matrix}$

Table 2. Transverse lengths of object at different object distancesmm
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Table 2. Transverse lengths of object at different object distancesmm
Relative object distance 30 -30
Reconstructed frame length 23.0725 23.0000
Real frame length 16

Table 3. Longitudinal lengths of object at different object distancesmm
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Table 3. Longitudinal lengths of object at different object distancesmm
Relative object distance -20 -12 12 20
Reconstructedframe length 25.500 25.625 25.375 25.375
Real frame length 12.20±0.02

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Zhenqing Liu, Zhenxiong Luo, Yan Ye, Jun Li, Zuoyou Li, Yu Zhao. Differences Between 4f Lenses System and Single Lens in Particle Field In-Line Holography[J]. Laser & Optoelectronics Progress, 2018, 55(2): 020901

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