Light microscopy
Part II
What is numerical aperature (NA)?
Usually, higher magnifica>on objec>ves have greater NAs
Sample specifica>ons
objective magnification NA working distance (mm)
Achromat 10x 0.25 6.1 Achromat 40x 0.65 0.45 Pl Apo 100x (0il) 1.4 0.10
Working distance =separa>on between top of coverslip and front element of objec>ve when specimen is in focus
Resolu>on
Airy Disk Forma>on by Finite Objec>ve Aperture
The width of central maximum prop. to λ and inversly prop. to objec>ve aperature
Lateral Resolu>on in Fluorescence Depends on Resolving Overlapping “ Airy Disks ”
Rayleigh Criteria: Overlap by r’, then dip in middle is 26% below Peak intensity
(2πx/λ)NAobj
E.D.Salmon
Minimum resolvable distance, d min
Fluorescence: d
min= 0.61λ/NA
obj[self-‐luminous object]
Trans-‐Illumina>on: d
min= λ/(NA
obj+ NA
cond)
[note that resolu>on depends on condenser NA too: for maximum resolu>on NAcond should equal or exceed NAobj]
Why oil immersion lenses provide greater resolu>on:
they have a larger NA (=nsin α )
Resolu>on is be[er at shorter wavelengths: higher objec>ve NA and/or higher condenser NA
High NA and/or shorter λ Low NA and/or longer λ
E.D. Salmon
Rayleigh Criterion for the resolu>on of two adjacent spots:
dlim = 0.61 λo / NAobj
Examples: (λo = 550 nm)
Mag f(mm) n α NA dlim (µm) (NAcond=NAobj) high dry 10x 16 1.00 15 0.25 1.10
40x 4 1.00 40 0.65 0.42 oil 100x 1.6 1.52 61 1.33 0.204
63x 2.5 1.52 67.5 1.40 0.196
For dry objec>ves NA < 0.95; for oil objec>ves NA < 1.52 with oil of n=1.52
Depth of field (ver>cal) resolu>on D = 0.61 λ cos α / n(NA)
Low power, NA~ 0.25 D~ 8 µm Hi, dry, NA~0.5 D~ 2 µm Oil immersion, NA~ 1.3 D~0.4 µm
Higher NA means:
Brighter image ~NA
2
Greater lateral resolu>on
Smaller depth of field
Contrast
All the resolu>on in the world won ’ t do you any good, if there is no contrast
to visualize the specimen.
Contrast
1 2 3 4 5 6 7 8 9 10
CONTRAST = (Isp - Ibg)/Ibg
HIGH LOW
E.D.Salmon
diI-C16
Thy-1 H-2 HA
Phase contrast microscopy
Ridges in The Surface of Cheek Cells for Resolu>on Tests
High Resolu>on DIC Microscopy
E.D.SalmonKeratocyte
Differential Interference Contrast (DIC) microscopy (from a goldfish scale, 3 times real time)
From Ted Salmon
Walker et al, Nature 347: 780-‐782
Dark field microscopy
Interference reflec>on microscopy (IRM)
Illumina>on for the microscope
Purpose of Koehler Illumina>on
• To obtain even specimen illumina>on for photomicrography, video microscopy etc.
• To use field diaphragm alone to control illuminated area of specimen.
• To control the angle of the cone of
illumina>on(contrast and resolu>on) by
varying condenser diaphragm.
A Lamp Collector Lens and Microscope Condenser
Lens are Used to Concentrate Light on the Specimen
Op>cal Principle
Summary of Köhler Illumina>on
• Focus specimen at low magnifica>on
• Focus and center field diaphragm by adjus7ng condenser height and diaphragm posi7on.
• Focus lamp filament on condenser iris diaphragm.
• Adjust condenser diaphragm appropriately.
– For visual observa>on, set condenser diaphragm to 70-‐90% of objec>ve aperture.
-‐ To enhance contrast, reduce condenser diaphragm to 40-‐50% of objec>ve aperture.
-‐ For video microscopy, set condenser aperture to ~objec>ve aperture.
Condenser is Translated Along Op>cal Axis to Bring Field Diaphragm into Focus
Condenser Focus Knob
Condenser X-Y
Translation Screws
Are Used to Center
Image of Field-
Diaphragm
Now, the field diaphragm controls the area illuminated on the specimen
Summary of Köhler Illumina>on
• Focus specimen at low magnifica>on
• Focus and center field diaphragm by adjus>ng condenser height and diaphragm posi>on.
• Focus lamp filament on condenser iris diaphragm.
• Adjust condenser diaphragm appropriately.
– For visual observa7on, set condenser diaphragm to 70-‐90% of objec7ve aperature.
-‐ To enhance contrast, reduce condenser diaphragm to 40-‐50% of objec7ve aperature.
-‐ For video microscopy, set condenser aperature to ~objec7ve aperature.
The Condenser Diaphragm Controls the Illumina>on NA
An image of the Condenser Diaphragm is in-focus in the Objective Back Focal Plan (Aperture). As the condenser diaphragm is opened, the illumination NA increases without changing the area of specimen Illuminated (area controlled by Field Diaphragm).
Condenser and Objective Apertures
θobm Qcond
CD Cond SP OBJ OB FFP BFP