2. Objectives
• To discuss about the designs and optics of telescope
• To illustrate different handling techniques for telescope
3. Presentation Layout
• Introduction
• Optical Principle of Telescope
• Types of Telescopes
• Optical Design of Telescopic system
• Methods Adapted by Telescopes for near use
• Handling Techniques
• Summary
• Reference
4. Introduction
• Optical instrument used to magnify the apparent size of a distant
object.
• Generally, focused for infinity, but can be adapted for near vision use.
• Contains two elements;
1. Objective lens (convergent lens)
2. Ocular or eyepiece lens(either convergent or divergent lens)
5. Optical Principle of Telescope
Afocal Telescope (normal adjustment)
• Separation between objective and ocular lens by their absolute value
of focal length.
• Produces only angular magnification.
• Parallel rays of light incident from infinity and emerges.
• Equivalent power of telescope is zero.
• Magnification= -Doc / Dobj
6. Optical Principle of Telescope
Focal Telescope
• Made focal for intermediate or near use.
• Made focal due to relative distance magnification.
• Referred as Telemicroscope.
8. Galilean Telescope
• Primary focal point of ocular lens is coincident with the secondary
focal point of objective lens .
• Ocular lens (eye piece): Negative
• Pocular > Pobj
• Magnification: Positive
• Image characteristics: Upright and virtual
10. Keplerian Telescope (Astronomical Telescope)
• Primary focal point of ocular lens is coincident with the secondary
focal point of objective lens.
• Ocular lens(eye piece): Positive
• Magnification: Negative
• Image characteristics: Inverted in astronomical telescopes.
• Note: Prisms are added to upright the final image in terrestrial
telescopes.
12. Aperture stop
• Physical aperture that limits the light entering into the system from an
axial object.
• Objective lens serves as aperture stop in both Galilean and Keplerian
telescope.
Uses
• Control the amount of light passing through system and limit the field
of view of the system.
13. Entrance pupil and Exit pupil
• Definition of entrance pupil: Entrance pupil is the image of an
aperture stop formed by any lenses in front of the aperture stop in an
optical system.
• In telescopes, the entrance pupil is the image formed by an objective
lens of the aperture stop.
• Location of the image: in front of the aperture stop
• Definition of exit pupil: An exit pupil is the image of an aperture stop
formed by lenses following the aperture.
14. Exit Pupil in Galilean telescope
• In Galilean telescope,
objective lens is the
aperture stop which is
imaged by an ocular lens
(minus power).
• Exit pupil: within the
tube (near ocular lens)
15. Exit pupil in Keplerian telescope
• In Keplerian telescope,
objective lens is the
aperture stop which is
imaged by an ocular lens
(plus power).
• Exit pupil: outside the tube
(near ocular lens)
• A telescope’s exit pupil is
also called Ramsden circle.
16. Comparing Galilean and Keplerian Telescopes
Characteristic Galilean Keplerian
Objective Positive Positive
Eyepiece Negative Positive
Image orientation Upright Inverted or upright
Location of exit pupil Within tube Outside of tube
Field of view Less Greater
Tube length Shorter Longer
Shape Straight May be bent
Weight Generally lighter Generally heavier
17. Ideal Features of Optical Design of Telescope
• Appropriate magnification
• Wide field of view
• Minimal or no aberrations
• Excellent light transmission
• High retinal illuminance
• Light weight
• Compactness
• Low cost
• Focusability
18. Calculating Telescopic Magnification
1. Determine patient’s best corrected visual acuity (BCVA, e.g., 6/60)
2. Determine target acuity (e.g., 6/12)
3. Use the formula,
Amount of magnification = MTS = BCVA/ Target Acuity
= 60/12
= 5X
4. Try telescope with low magnification (e.g., 3X – 5X)
(A trade of between visual requirement, magnification, and FoV)
Note: Too much telescopic magnification increase inherent limitations of field and
lessen optical quality.
19. Field of View (FoV)
• Field of view of telescope is determined by
Characteristic Galilean Keplerian
Size of objective lens ↑ diameter of objective lens = ↑ FoV
diameter of exit pupil =
𝐷𝑜𝑏𝑗
𝑀𝑇𝑆
Magnification of system ↑ Magnification = ↓FoV
Separation between lens ↑TL = ↑ FoV ↑TL = ↑ FoV
FoV in Galilean T > FoV in Keplerian T [𝑀 =
1
1−𝑑𝐷𝑜𝑏𝑗
]
Vertex distance (VD) ↑VD = ↓ FoV (Galilean > Keplerian)
Exit pupil ↓ FoV (exit pupil: inside the tube) ↑ FoV (exit pupil: outside the tube)
↑exit pupil diameter = ↑𝐹𝑜𝑉 [𝐸 =
𝐷𝑜𝑏𝑗
𝑀𝑇𝑠
]
20. Aberrations
• With increase in magnification, aberrations
increases.
• Mostly chromatic aberration increases and spherical
aberration also increases minimally.
• Way to minimise aberration
o Use of cemented doublet objective and eyepiece,
reduces chromatic aberration.
o Small aperture lenses reduces spherical
aberration.
21. Light transmission
• Anti-reflective coating increases light transmission effectively by 4% at
each optical surface compared to uncoated lens.
• Anti-reflective coating of wavelength of maximum visibility is
generally selected.
• Anti-reflective coated lens appears purplish or purple green reflective
colour.
22. Retinal illuminance
• Telescope reduces the brightness of extended light sources.
• Retinal illuminance is directly proportional to the area of exit pupil of
the eye-telescopic system.
• Exit pupil= Diameter of objective lens/MTS
• Relative light efficiency = (Exit pupil)2
23. Retinal illuminance
Condition Effect Result
Exit pupil of telescope >
Eye pupil diameter
Eye pupil is filled with light Image brightness same as
unaided eye
Exit pupil of telescope =
Eye pupil diameter
Eye pupil is filled with light Image brightness same as
unaided eye
Exit pupil of telescope <
Eye pupil diameter
Eye pupil is not filled with
light
Reduction in image
brightness
24. Weight
• The diameter of objective lens, is if increased, the weight of telescope
increases.
• Galilean telescope: has certain range magnification , weight and tube
length is limited.
• Keplerian telescope: heavier with longer tube length, require a mirror
or prism (to upright the image).
25. Expense and Compactness
• Galilean telescopes are smaller and less expensive than Keplerian
telescopes.
• Keplerian telescopes are more costly because of expense of
incorporating upright prisms or mirrors.
• Compactness is related to tube length.
• Keplerian telescope is less compact than Galilean telescope because
both lenses in Keplerian telescope are positive.
26. Methods adapted to telescopes for near use
1. Increasing the power of the objective lens
• Diverging wavefront striking the objective lens can be neutralized by
adding a reading cap to the front of telescope.
• Working distance of near telescope is equal to focal length of
reading cap or additional plus power added to objective lenses.
• Equivalent power= (Dcap)(MTS)
27. Methods adapted to telescopes for near use
2. Decreasing the power of the ocular lens
• A significant amount of accommodation is required to clear the image
blurred by divergent rays emerging from eyepiece.
• Required amount of accommodation is eliminated by changing power
of ocular lens.
3. Both Galilean and Keplerian telescopes can be made focal by
increasing the tube length or separation of lens elements.
28. Refractive Error Correction in Telescope
• Can be done by incorporating refractive correction directly into ocular
lens of Galilean or Keplerian telescope.
• By altering the tube length of telescope,
29. Monocular vs Binocular telescopes
Monocular Telescopes
• Low vision patients may not
have binocular vision.
• In such case, monocular
telescopes are prescribed in the
better seeing eye.
• Mostly, they are handheld
telescope.
Binocular Telescopes
• Prescribed in patient have
approximately same visual acuity
in both eyes and demonstrating
some degree of binocularity.
• Example: spectacle-mounted
telescope
30. Handheld Telescopes
• Can be conveniently carried around neck
(Often come with cords and straps).
• Available mostly in Keplerian (FoV, range
of magnification, clarity, retinal
illumination)
Uses
• For temporary or occasional use
• Reading street signs
• Viewing scenery
31. Spectacle Mounted Telescopes
• For the task involving prolonged viewing,
spectacle mounted telescopes are more suitable.
• e.g., Clip on telescopes
• Can be secured directly into patient’s line of sight.
Uses
• Watching television
• Writing
• Driving
32. Advantages of clip on telescope
• Can be easily removed when not desired and used as handheld
telescope.
• Can be essential low vision aid in patients with Parkinson’s disease,
Multiple sclerosis, Hyperthyroidism ,etc
• Easily allows for a patient's spectacle correction to be
incorporated into a spectacle mounted telescope.
33. Disadvantages of clip on telescope
• Possibility of scratching spectacle lenses.
• Mechanical difficulties encountered in clipping it.
• Determining the correct position and maintaining the
proper alignment.
• Reduction of field of view, exit pupil being placed far from eye.
34. Other Spectacle Mounted Telescope Designs
Full field position
• When telescope is positioned in
the centre of carrier lens.
• Designed for distance tasks
when patient is stationary.
• Used for watching television
Bioptic and Trioptic
• When telescopic unit is positioned
superiorly within the frame.
• Especially designed system in
which a superiorly placed telescope
is combined with an inferiorly
mounted telemicroscope.
• Prescribed for driving
35. Verification of Telescopic devices
• Visual inspection of device is an important part of verification
process.
• If telescope is focusable, it should be turned smoothly and must be
capable of focusing at expected distances.
• Should be positioned in carrier lens at recommended angles and inter
pupillary distance.
• Proper angle can be verified with a protractor.
36. Verification of magnification of an afocal
telescope
Can be done in number of ways:
• Comparison method
• Actual measurement of both the diameter of objective lens and the
exit pupil of the telescope; MTS= dobj/diameter of Exit pupil
• By the principle of vergence amplification,
Aocular= M2U/1- dMU
37. Procedure to determine the magnification
1. Position an unknown telescope in the lensometer with ocular lens
against lens stop.
2. The Galilean telescope should be focused for infinity or it’s back
vertex power must be adjusted to zero.
3. Hold trial lens of +1.00 D without removing the telescope from
lensometer.
38. Procedure to determine the magnification
4. Focus the lensometer to obtain new back vertex power reading.
5. Remove the telescope and measure tube length.
6. Calculate the magnification of telescope by following formula:
M =
− 𝐴0 d + 𝐴0𝑑 2 − 4𝐴0
2
39. Handling Techniques
Following procedures recommended in sequence to handle the
telescope:
1. Localization: Finding the target and aligning the target, eye and
telescope.
2. Focusing: Viewing the target by focusing the telescope.
3. Spotting: Result of finding the target, aligning and focusing until the
image is clear.
40. Handling Techniques
4. Tracing: Following the stationary line along with slow and smooth
movement of head.
5. Tracking: Following a moving target with smooth movement of head
and telescope.
6. Scanning: Using a reference point or some objects in the
environment as a search pattern to locate a target.
41. Summary
• Telescope is the only device available for improvement of distance
and near vision.
• Keplerian telescope provide larger field of view than Galilean
telescope of equal magnification and equal objective lens.
• Telescope devices must be prescribed according to the goals and
needs of the patient.
• Magnification of telescope must be as low as possible to lessen the
optical quality and enhance the field of view.
When an emmetrope or corrected ametrope uses a telescope to view an infinitely distant object , the light rays that enter the telescope has zero vergence as the light rays that exit the telescope. Since such telescope doesn’t have focal points, it is referred as afocal optical system. The separation between the objective and ocular lens is equal to absolute value of their focal length.
When telescopic systems are focal , they have finite focal distance. The magnification produced by portions of telescopic system that make the system focal are primarily due to relative distance magnification. When a telescope is used for near use referred as telemicroscope
For an infinitely distant object, a converging lens forms an image at its secondary focal plane, which is coincident with the primary focal plane of eyepiece, a negative lens. The magnification is positive creating an upright and virtual image.
In this figure, parallel rays of light coming from an infinitely distant object subtending an angle theta the objective converging forms an image at secondary focal plane which is coincident with the primary focal plane of eyepiece which is negative subtending an angle theta’. Here h denotes the height of virtual object formed by objective, 1’ is the secondary focal length of objective lens,f2 primary focal length of eyepiece,F1 is the power of objective and F2 power of eyepiece.
Now in case of Keplerian telescope, both objective and ocular lens are positive lenses. The magnification is negative meaning the image is inverted.
In this figure, parallel rays of light coming from an infinitely distant object subtending an angle theta the objective converging forms an image at secondary focal plane which is coincident with the primary focal plane of eyepiece which is positive subtending an angle theta’. Here h denotes the height of real object formed by objective, f1’ is the secondary focal length of objective lens,f2 primary focal length of eyepiece,F1 is the power of objective and F2 power of eyepiece.
Axial object: An object located on the axis of an optical system.
Since there are no any lenses infront of aperture stop in telescope, the we consider objective lens to be the aperture stop.
In case of Galilean telescope, lets assume the objective lens is the aperture stop which is followed by minus powered ocular lens hence,it forms a virtual image of objective within the tube, hence cannot obtain pupil matching.to obtain greater FoV observer can do is place eye as close to ocular lens. In this figure, assume the Galilean telescope and eye is close to almost touching the ocular lens. Tubelength is designated as d. we have objective lens as aperture stop, consider eye as part of telescope system, the eye’s pupil could be combined system’s aperture stop. The yellowish cone represent the field of view in image space. In Galilean, with its internal virtual exit pupil, the parallax motion is with movement.
Ramsden circle: A telescope Ramsden circle is the image of objective lens as seen from the eyepiece side of telescope. For a Galilean telescope, the Ramsden circle can seen floating within the tube; it is a virtual image. For a Keplerian telescope, the Ramsden circle can be seen floating outside the tube; it is a real image. The eye relief in this Keplerian telescope is designated as ER, is the distance between ocular lens and exit pupil, which is the image of objective lens formed by ocular lens. Assume the pupil of eye is coincident with exit pupil. Hence the angular field of view is greater in Keplerian than in Galilean telescope.For Keplerian design, the exit pupil is located as real image, external to the ocular with an against movement.
Observer’s Fov decreases. as the observer backs away from telescope The largest Fov is obtained when the observer has eye close as possible to ocular lens. In Keplerian, the Fov changes as the observer backs away from telescope.when eye is as close to ocular lens, objective lens limits the Fov but now as person starts slowly backs their eye away from ocular lens the fov starts to increase. At certain point the fov appear not to change that start to decrease.
Chromatic aberration is produced when colored rays that collectively make up ordinary light are bent unevenly as they pass through the various elements of telescopic system.
When light is travelling through a number of transparent media having different indices of refraction, majority of light passes through however a small amount is reflected which produces approx. 4% loss of light at each uncoated optical surface.Because of eye’s sensitivity to yellow green light, wavelength of maximum visibility, an AR of such is selected.Therefore, when the reflection for this wavelength is eliminated, reflection tend to increase towards the spectrum, producing a mixture of red and purple or magenta colour. Because of this effect appearance of purple colour
Retinal image illuminance is important in prescribing telescopes. Extended light source: when source of light subtends finite angle. The patient’s pupil and exit pupil of telescope play an important role in determining how much light reaches the patient’s retina.
When the telescope is used to view an object (extended source of light) the exit pupil of telescope is larger than or equal to the eye pupil diameter, the image brightness will appear as bright as naked eye, when exit pupil is smaller than the eye pupil diameter there will be reduction in brightness as compared to unaided eye.
The weight of telescopic system is largely determined by the diameter of objective lens.
Compactness: quality of being closely packed. Because tube Length of telescope is equal to focal length of both objective and ocular lens.
Of the three methods, the addition of a reading cap to the objective lens is the most common. When an afocal telescope Is used to view near objects… Equivalent power of near telescope can be determined by multiplying the power of cap by magnification of telescopic system
Even though a patient’s refractive correction can be made at the objective lens, it is the least desirable method.
Possible to prescribe two telescopes of different magnifications for two different tasks, biocular use.
Comparision method involves spotting a distant object throught the telescope in front of one eye and while keeping the fellow eye open, superimposing the magnified view through the telescope over the non magnified view in fellow eye. Magnification of Galilean telescope may be measured by using vergence amplification. If a lens of known value alters the entering vergence of light into the telescope, then the emergent vergence can be read in lensometer and difference in value is determined. Knowing this difference and the length of the telescope, the vergence amplification formula can be determine the magnification.
Aoc= change in vergence in eye piece
D = tubelength of telescope in meter
There are number of steps or procedures a patient should master to be considered proficient in the use of telescope. Alignment of target should be verified by asking the patient if the image is fully circular of half moon shaped image. If so Again properly align. Once mastered localization technique proceed to focusing. Patient should be informed abt the range of focus.spotting result of localization and focusing.
Tracking slightly more advanced and involves……Scanning most difficult skill to master and most valuable. Begin indoor with simple tasks such as finding printed sentences in the board or paragraph and move across first to last line.