Re: darkfield references

Posted by Barbara Foster on
URL: http://confocal-microscopy-list.275.s1.nabble.com/darkfield-references-tp7583371p7583375.html

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Hi, Jeff

The concept is really quite simple. Darkfield doesn't "block" the
light.  Rather, a darkfield system "conditions" the light. This is a
bit difficult to do without a diagram, but let's try.  First:  There
are two lens systems involved:  The condenser and the objective.

Step 1: The optics
Imagine light approaching the CONDENSER in a bundle of parallel
rays.  The curve on the incoming side of the condenser causes the
light to emerge at  wide variety of angles (You can prove this by
moving objectives out of the way and placing a business card on its
edge over the condenser.  P. S. - open the condenser aperture fully
for this experiment).  Light coming through the center "sees" the
flat tangent of that curve so continues straight on.  Light coming
through the edges sees maximum angle of that curve so is bent at a
high angle.  The higher the NA of the condenser, the broader the
range of angles emitted from the condenser.  To simplifiy, use the
optic axis as 0o (zero degrees) deviation.  Hypothetically, the
maximum angle emitted would be +/- 90o.  (Interesting experiment:
test the effect of opening and closing the condenser aperture on the
angle emerging from the condenser.  Second experiment: if you have a
turret condenser, close the aperture and very slightly rotate the
condenser so that the light approaches from other angles. Use the
card to watch what happens to the angle).

On the receiving side, the OBJECTIVE will collect a range of angles
set by its numerical aperture (NA = n sine a, where n = refractive
index of the medium between the top of the sample prep and sine a =
sine of half the collecting angle).

Step 2: The sample
Light emitted from the condenser interacts with the specimen in a
variety of ways (diffraction, refraction, reflection, fluorescence,
etc.).  The objective collects that light to form the image ("light
is the messenger").  In the simplest terms, the image is formed by
the interference between the undiffracted background light and the
diffracted light from the specimen.  The undiffracted light is
responsible for the background of the image;  the diffracted light
contributes to resolution, edge fidelity, and intensity of the sample
detail.  Part of the image is also be formed by interference between
specific of components of the diffracted light, but will not
contribute to the background (a further discussion is beyond the
scope of this posting).

Step 3: Enter Darkfield
The goal of a darkfield system is to select, at the condenser, only
those peripheral rays which will emerge at a very high angle.  We
want to select those rays of light which will have such a high angle
that they will miss being collected by the objective.  Since this is
undiffracted light, it contributes to the background information in
the image.  If we don't collect it (zero light), the background will
be black (hence, the term "darkfield").
As in all imaging, some of this highly angled light WILL interact
with the specimen.  It will be scattered at the appropriate angles to
be collected by the objective and go on to form an image.

There are two general approaches for engendering darkfield
microscopy:  A central patch stop to block all rays except those
highly angled peripheral rays or a highly curved, hemispherical
mirror mounted in the condenser, which will reflect light at very
high angles as it emerges from the condenser.  The first approach
creates angles effective to generate darkfield with lower NA
objectives (about 0.15, associated with magnifications up to about
10x).  The more elaborate mirror systems use oil immersion both
between the condenser and the back of the slide and the top of the
prep and  the objective) and are effective for higher NAs (~1.4,
associated with 60x or 100x oil immersion objectives).

Regarding the smallest object you can "see":
Darkfield is limited by DETECTION (how many photons of light can be
scattered to form the image) not RESOLUTION (based on diffraction and
the interaction with the undiffracted + diffracted light).  The
detection is limited by the light (quantum) efficiency of your optics
and camera and, for direct viewing, your eye.  Since your eye can
detect just a few photons, using darkfield (especially the oil
immersion variety) you will be able to "DETECT" objects as small as
about 50-60nm.  You won't be able to define their size or tell much
about their shape or edges (parameters inherent in resolution), but
you will be able to tell that something is there.

ARTIFACTS:
1. Because the photons are coming to you from throughout the entire
depth of the sample ("infinitely great" depth of field), unless the
sample is thin, darkfield images will often be "busy" with images
from one plane overlaying images from those above and below.
2. Because you are using a very narrow range of angles to illuminate
the sample, the light is highly coherent, so you will see a lot of
internal diffraction effects ("ringing" around the edges)
3. Because scatter is the main source of the imaging information, you
will also see lot of local chromatic aberration (rainbows or colors
at the edges).  For that reason, we always recommend that you view
the sample in brightfield first to asses if color is real or just an
artifact of darkfield.

SEVERAL OTHER THINGS TO CONSIDER:
Other imaging techniques remove the undiffracted, background-forming
light, but other imaging parameters are in operation which determine
whether they are diffraction or detection limited.
EX 1: Polarized light (which IS diffraction limited)
EX 2: DIC (which is based on polarized light)  (which is also
diffraction limited)
EX 3: Fluorescence (which is detection limited)
EX 4: CytoViva (cytoviva.com) use a darkfield condenser in a novel
way which (a) actually improves resolution and (b) improves optical
sectioning.  It does so by placing the light source essentially at
the front focal plane of the objective, changing part of the normal
darkfield optics.  As a result, it can actually RESOLVE fine detail
on the order of 90 nm (my old eyes resolved at the 90nm level; the
younger tech specialist which whom I had a chance to work early on,
could resolve about 82nm on the Richardson test slide).   And, unlike
darkfield, it CAN optically section.  Also, more recent work suggests
that it does not suffer from the chromatic effects of conventional
darkfield and, as a result, has been having considerable success in
hyperspectral imaging.  So, even though a darkfield condenser is
involved and even though the image has a dark background, its
behavior and capabilities put it into a category of its own.

  By the way, you can create your own darkfield patch stops using
India Ink on overhead transparency film.  To determine the size of the patch:
1.  Set up Koehler illumination then move to a clear part of your slide
2.  Remove the eyepiece and peer down the tube into the back focal
place of the objective (BFPo)
3. Close the CONDENSER aperture until you can just barely see the
edge of its leaves in the BFPo)
4, Gently remove the condenser from the microscope, flip it upside
down, and measure the size of the opening of the aperture. That is
the size you need for the patch stop.
(Luckily, the manufacturers make these available for very little money).
5. To operate: make sure that the  patch stop is in the Front Focal
Plane of the condesner (in the location of the aperture iris.

Also something fun:
Rheinberg illumination was an important contrast technique in the mid
1800's and is derived from the same principle but uses colored patch
stops instead of black.  With a black patch stop on a white
background, you get white images on a black field;  With a green
patch stop on a white background, you get white objects on a green
field.  One of my favorites is a blue patch stop on a yellow
background, which gives you yellow objects on a blue field (a highly
effective contrast combination for the human eye).   I once taught a
week long course for a company to whom  counting filamentous mold was
important.  One of the biggest successes came by accident when we
used Rheinberg with their samples.  This combination made mold
counting really easy!  One note: you can make Rheinberg filters from
any colored plastic film but may need to (a) use a double thickness
to get good rich color and (b) crank up your light source.

Hope this is all helpful.

Good hunting!
Barbara Foster, President & Chief Consultant
Microscopy/Microscopy Education*
www.MicroscopyEducation.com

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7101 Royal Glen Trail, Suite A
McKinney, TX 75070
P: 972-924-5310
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At 04:19 PM 1/30/2015, Jeff Spector wrote:

>*****
>To join, leave or search the confocal microscopy listserv, go to:
>http://lists.umn.edu/cgi-bin/wa?A0=confocalmicroscopy
>Post images on http://www.imgur.com and include the link in your posting.
>*****
>
>Greetings,
>    Can someone please point me to some references involving the theory
>behind darkfield microscopy? I understand the basic idea, but all I can
>find are different iterations of the basic idea that you block most of the
>light and only image scattered light. I'd like to learn a bit more about
>technical aspects of  darkfield, i.e. what is the smallest object you can
>observe? What role do illumination power and camera exposure play in the
>quality of the final image. What role does specimen thickness/size play in
>the final image and can you discern objects of different size
>etc...
>Any help would be greatly appreciated. Perhaps I simply need to read up on
>scattering theory?
>thanks..
>-jeff