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References

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  1. Y. Li, E. Wolf, “Focal Shift in Focused Truncated Gaussian Beams,” Opt. Commun. 42, 151 (1982).
    [CrossRef]
  2. Y. Li, “Optimizing Photodetection in a Focused Field,” Appl. Opt. 24, 796 (1985).
    [CrossRef] [PubMed]
  3. K. Tanaka, O. Kanzaki, “Focus of a Diffracted Gaussian Beam Through a Finite Aperture Lens: Experimental and Numerical Investigations,” Appl. Opt. 26, 390 (1987).
    [CrossRef] [PubMed]
  4. K. Tanaka, N. Saga, K. Hauchi, “Focusing of a Gaussian Beam Through a Finite Aperture Lens,” Appl. Opt. 24, 1098 (1985).
    [CrossRef] [PubMed]

1987 (1)

1985 (2)

1982 (1)

Y. Li, E. Wolf, “Focal Shift in Focused Truncated Gaussian Beams,” Opt. Commun. 42, 151 (1982).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Position zsd where maximum energy is received for Gaussian beam incidence whose equiphase surface is convex (ξ0 = 1.0). The parameters α and β are defined by α = a/w0 and β = b/w0, where a and b are radii of the lens and the receiver and w0 is the spot size of the incident beam at the position of the lens. zst is the position of the beam waist transformed by an infinite aperture lens.

Fig. 2
Fig. 2

Position zsd where maximum energy is received for Gaussian beam incidence whose equiphase surface is plane (ξ0 = 0.0). Parameters are the same as in Fig. 1.

Fig. 3
Fig. 3

Position zsd where maximum energy is received for Gaussian beam incidence whose equiphase surface is concave (ξ0 = −1.0). Parameters are the same as in Fig. 1.

Equations (2)

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P ( z ) / P ( 0 ) = 4 a 4 b 2 k 2 w 0 2 z 2 [ 1 exp ( a 2 / w 0 2 ) ] 0 1 0 1 × V ( x , x ) exp [ S 1 ( x 2 + x 2 ) ] × cos [ S 2 ( x 2 x 2 ) ] x x d x d x ,
k = 2 π / λ, S 1 = a 2 / w 0 2 , S 2 = a 2 [ ξ 0 / w 0 2 + k / ( 2 z ) k / ( 2 f ) ] , V ( x , x ) = 0 1 J 0 ( k a b x y / z ) J 0 ( k a b x y / z ) y d y , ξ 0 = 2 z s / ( k w s 2 ) .

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