The numerical aperture (NA) determines the resolving power and the brightness of the image. It is a measure for the width and depth of the focal spot produced by the objective. It is defined by the sine of the half aperture angle a of the lens and the refractive index n of the immersion medium (Figure 1). According to this definition, the larger the numerical aperture, the more narrow the focal spot and hence the higher the resolving power.
Since the NA scales linearly with the refractive index n, for NA greater than 1 an immersion medium with a refractive index greater than 1, i.e. other than air, is required. Higher NA typically demands a more complex design involving a larger number of lens elements and tighter tolerances. Figure 2 provides a comparison of the foci produced by 40x objectives with different NA by means of their point spread functions (PSF).
Figure 2 Comparison of focal spot sizes as a function of numerical aperture. Calculated point spread functions plot normalized intensities against two spatial coordinates. Larger NAs result in a higher resolving power indicated by a smaller spot size.
An ideal lens would focus a point light source into an ideal PSF which dimensions are determined by the NA of the objective and the wavelength of the light. However, the shape and position of a real PSF deviate from an ideal PSF due to imperfections of a real lens. The results of such imperfections are called aberrations. Aberrations causing a non-ideal shape of the PSF have a negative impact on resolution and contrast (spherical aberration, coma, astigmatism). A shifted position of the PSF results in a suboptimal image geometry (curvature, distortion) or image brightness and chromatic overlay (chromatic aberration in lateral and axial directions).
In confocal imaging, there are high demands on z-sectioning and multi-spectral imaging which is why chromatic aberrations and curvature deserve special attention. Chromatic aberrations are reduced by special lens designs to make sure different wavelengths are focused into the same spot in xy and z dimensions. Any deviation from the ideal reduces the quality of colocalization experiments in functional characterization, because one could draw false conclusions from the corresponding correlation coefficient. Moreover, with a better chromatic correction, light is collected more efficiently because of a larger overlap between excitation and emission PSF (see Figure 3).
Figure 3 Illustration of how the confocal signal depends on chromatic aberrations (computed.) Assumptions are an ideal 63x / 1.40 NA lens with Airy radius ~ 190 nm, infinitely small pinhole and excitation at 405 nm
Better corrections for chromatic, spherical or other aberrations go along with the introduction of more lens elements and require higher precision during manufacturing. The design therefore becomes more complicated and production more expensive.
Objectives are categorized in three classes in increasing order of quality: Achromats, semi-apochromats and apochromats. Apochromats are color corrected for the widest spectral range. Within the class of apochromats, Leica offers lenses especially designed to match the highest specifications for confocal scanning (CS). The latest CS2 series has further improved over the previous CS series and the newly developed lateral color correction goes hand in hand with the innovative UV optics of the Leica TCS SP8. The excellent color correction of the CS2 objectives delivers an improved color overlay especially in the image periphery.
PL plan, field flatness correction