Antonín Mikš, Jiří Novák, and Pavel Novák, "Method for analysis of wavelength dependence of aberrations and image quality for axial object point," Appl. Opt. 48, 4381-4388 (2009)

Our work deals with the influence of light wavelength on values of wave aberration coefficients and image quality for an axial object point, and a technique for calculation of the dependence of aberration coefficients on the wavelength is proposed. Moreover, the formula for calculation of the monochromatic and polychromatic Strehl definition using chromatic aberration coefficients is derived and the tolerance limits are given. The proposed method of determination of chromatic aberration coefficients is shown for the case of the imaging of an axial object point by a rotationally symmetric optical system. Relations that enable calculation of chromatic aberration coefficients are derived. Finally, the proposed method is applied on an example of an achromatic doublet, and the results of calculations are compared with the values obtained using commercial optical design software (ZEMAX, OSLO).

Antonin Miks and Jiri Novak Opt. Express 19(15) 14300-14314 (2011)

References

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Values obtained from ZEMAX and OSLO compared with values calculated using relations (17, 18) by simple summation over given wavelengths instead of integration.

Table 6

Dependence of the Calculated Polychromatic Strehl Ratio on the Number of Wavelengths^{
a
}

Values calculated using relations (17, 18) by the described numerical integration formula, compared with the values obtained by the described numerical integration formula from monochromatic Strehl definitions calculated using ZEMAX and OSLO.

Tables (6)

Table 1

Parameters of Achromatic Doublet ${\mathsf{f}}^{\prime}=\mathsf{100}\text{\hspace{0.17em}}\mathsf{mm}$, Pupil Diameter $\mathsf{D}=\mathsf{20}\text{\hspace{0.17em}}\mathsf{mm}$

i

${r}_{i}$

${d}_{i}$

${n}_{i}$

${\nu}_{i}$

Material

1

1.00000

0.0

air

2

55.907

4.000

1.51752

64.2

BK7

3

$-46.453$

1.000

1.00000

0.0

air

4

$-44.684$

2.000

1.67453

32.3

SF5

5

$-148.896$

94.867

1.00000

0.0

air

Table 2

Longitudinal Spherical Aberration Values $\mathsf{\Delta}{\mathsf{s}}^{\prime}({\mathsf{q}}_{\mathsf{i}},{\mathsf{\Lambda}}_{\mathsf{i}})$ and Calculated Chromatic Aberration Coefficients ${}_{\mathsf{m}}\mathsf{W}_{\mathsf{n}}$^{
a
}

Values obtained from ZEMAX and OSLO compared with values calculated using relations (17, 18) by simple summation over given wavelengths instead of integration.

Table 6

Dependence of the Calculated Polychromatic Strehl Ratio on the Number of Wavelengths^{
a
}

Values calculated using relations (17, 18) by the described numerical integration formula, compared with the values obtained by the described numerical integration formula from monochromatic Strehl definitions calculated using ZEMAX and OSLO.