indicate a better ability to distinguish two closely spaced points. Resolution also
depends on the wavelength of the illumination used to examine a specimen.Shorter
wavelengths can resolve details better than longer wavelengths. Two commonly
used expressions for thewide-field resolutionR are
R¼ 0 : 61 k=NAobj ð 8 : 6 Þ
and
R¼
1 : 22 k
NAobjþNAcond
ð 8 : 7 Þ
whereλis the wavelength of the illuminating light and NAobjand NAcondare the
numerical apertures of the objective lens and the condenser lens, respectively. In
order to get good imaging results, the NA of the condenser lens should match the
NA of the objective lens.
Example 8.5What are some ways to increase the resolution of a
microscope?
Solution: Smaller values of resolution indicate a better ability to distinguish
two closely spaced points. Thus Eqs. (8.6) and (8.7) indicate that a better
resolution can be obtained by using a shorter wavelength or by increasing the
numerical aperture.
Objective lens
Focusing lens
Point source from a pinhole
Airy disk
x axis
Intensity (z axis)
Zeroth-order maximum
x = 0
x 0 (location of
first side lobe)
Light source
84% of the
luminous
energy
First side lobe
Fig. 8.7 Example of an Airy disk diffraction pattern and the point-spread function
8.2 Resolution and Diffraction Limit 245