15 September 1995
OPTICS
COMMUNICATIONS
ELSEVIER Optics Communications 119 ( 1995) 693-{}95
Comment
Fundamental reduction of the observation volume in far-field light
microscopy by detection orthogonal to the illumination axis:
Confocal theta microscopy (Optics Comm. 111 (1994) 536)
C.J.R. Sheppard
Physical Optics Department, School of Physics, University of Sydney, NSW 2006, Australia
Received 30 December 1994; revised version received 4 April 1995
Abstract
In the paper of Stelzer and Lindek on confocal theta microscopy they have assumed identical numerical apertures for both
con focal and con focal theta microscopy. In practice a higher numerical aperture can be used in ordinary confocal microscopy,
in which case the relative performance is reversed.
In a recent paper Stelzer and Lindek [1] described
the effects on the resolution of confocal fluorescence
microscopy of off-setting in angle the axis of the detec-
tion lens. They claim that substantial improvement can
result. Their interesting paper is exhaustive in its con-
sideration of various different microscope geometries.
Advantages of the off-set geometry include an almost
spherically-symmetric point spread function, and a use-
ful combination of long working distance and resolu-
tion.
The practice of using an angularly off-set detection
lens is well known in a number of areas, notably in
cytometry, Raman spectroscopy and luminescence
microscopy. A particular advantage of the arrangement
in these cases is that the incident beam does not pass
into the collection lens, thus alleviating filtering prob-
lems. An example of a confocal system with off-set
detection lenses was illustrated by Wilson and Shep-
pard [2, p. 116]. A limitation of confocal theta micros-
copy is the geometrical problem of fitting in two high
aperture microscope objectives. Thus in practice Stel-
zer and Lindek have used water immersion objectives
0030-4018/95/$09.50 © 1995 Elsevier Science B.Y. All rights reserved
SSDI0030-4018(95)00367-3
of 0.75 NA, and even then they have to be off-set
slightly from the orthogonal arrangement to fit them in
[3]. However, in their paper they choose to compare
the various arrangements with the same numerical aper-
ture lenses in each case, whilst in practice in confocal
(non-theta) microscopy it is possible to use
commercial water immersion objectives of 1.22 NA.
In practice it should be feasible to design water immer-
sion objectives of 1.26 NA.
We thus consider here imaging in the confocal theta
arrangement of 0.75 NA and compare it with the stan-
dard confocal arrangement of 1.22 NA. For simplicity
we assume a non-vector "pseudo-paraxial" theory [4]
for imaging, which has been shown to give reasonably
accurate results for high numerical apertures. Accord-
ing to this theory the intensity in the focal plane of a
lens is given by the standard Airy disc,
(
211 (km Sina))2
l(r) = ,
kmsina
(I)