viewer...something many of us do on a regular basis....
I will make some quick comments on some of the items of discussion
recently, as stereo optics are quite unique vs. other visual optics.
Then in the next post, I will show some pix of my dream viewer optics...
EYE PLACEMENT - IPD - Unfortunately, all visual optics are highly
sensitive to eye placement. Stereo viewers are the most sensitive
optical instrument got eye placement, since it's one of the few optical
instruments in which the eye must swivel to see the entire field of
view (film). While in binocs, Telescopes, Microscpes, you simply move
the subject of interest to the center. This is the first huge obstacle
in designing optic s for a stereo viewer. Typically, the more
elements in the optics, the more sensitive eye placement is. All EP's
(Eye Pieces, aka film loupes) are designed for a specific eye pupil
diameter..... and considering most stereo viewers have very low levels
of light intensity, unfortunately our eye pupils are wide, which makes
lens design even more difficult.
The eye pupil diameter is the start of the lens design process... as you
have an entrance pupil (often called the Field Stop Diameter) and an
exit pupil.... a well designed EP will allow all the sharp rays to enter
our eye pupil. However, if the eye is not reasonably well centered on
the lens axis, the eye will never see the "design" rays. Design rays =
the sharp rays the lens designer provided to fit within your pupil,
WHICH assumes your pupil is in the proper location.
How tight is this tolerance? It's extremely tight, which is
problematic with devices that offer no IPD adjust. When the eye pupil
and the lens center axis are mis-aligned due to a mis matched IPD and
center lens spacing, the result is distortion, resolution fall-off, MTF
degradation and sometimes chromatic aberrations. A simple test to
witness this, take your doublet, and look at graph paper with a tight
grid over your light box. Using one eye, center your eye on axis and
view the grid paper...you will see the normal distortion inherent in the
lens (barrel or pincushion).... now de-center your eye pupil with the
lens center, you will witness much higher levels of distortion when you
de-center, the most obvious being distortion on the Z axis, the grid
lines will appear like swells in the ocean. You might also notice
chromatic aberrations of the grid lines if you continue to move your eye
further away from center.
The real kicker is, try this test in stereo, align the grid paper so you
have a nice merged 2d view with both eyes, now de center your eyes by
moving the lenses apart..... Each eye will experience a different form
of Z axis distortion, creating binocular rivalry. You may need to
create a jig to perform this task.
In real world stereo viewing, the brain fights through this rivalry, and
other forms of rivalry, to deliver an acceptable image, but at a price
of mental stress...some people react to this level of stress more than
others, in the form of light headiness, dizzy, etc. Of course the
amount of viewing time is the biggest factor which determines how
pronounced any side effects are. If you view for 10 minutes, the avg.
person can deal with it.... The bottom line here, all EP's require a
centered eye, to deliver the proper rays to the eye.... IPD adjust
should be mandatory on all viewers for this reason.
As a side note, I once had an EP designed that would enable +/- 4mm eye
placement leeway while holding the MTF values and distortion at
acceptable levels throughout the full 8mm range. To accomplish this
task at 60mm fl, the lens design required the glass to be 4" in
diameter... yep, certainly can't put two of them side by side.
Anyway, this is the "clear apt." mentioned throughout these
threads..... this is a relative easy test you can perform with the
graph paper.... you will find that ideal eye centering for a doublet is
within the +/-.5mm region... certainly not the numbers being tossed
around.... BTW, this is true of all visual optics, even $2k+ Zeiss
binoculars, hence why their IPD adjust is so smooth and can adjust down
to the smallest increments..... proper IPD setting is critical in all
visual optics.... if Zeiss requires it, I think 3d world lenses need it
even more :-)
F STOP of an EP vs. Camera lens: The f stop of a lens is.... fl
divided by its apt. opening. In the case of an EP, the apt. opening is
the usable diameter which rays from the image pass through. In the
case of the Saturn lens, approx. 80mm fl / ~44mm diam, or f 1.8. The
3d world viewer is about 75mm fl / ~32mm = f 2.3. These f ratios
would hold true if the doublets were used as a camera lens.....but they
are not.
In stereo viewing the doublet becomes part of an optical system, which
now includes the eye....so both optics (doublet and eye) now represent
ONE single working lens, as it meets he definition of an optical system,
as it has a focal plane (film) and an image plane (projected image on
the retina).
When the doublet is introduced into this optical system, now the eye
pupil diameter becomes the apt. opening in the system. Therefore, the
true f stop of the Saturn lens is 80mm / ~5mm eye pupil diam. = f 16
lens. The 3d world EP is about f 15, hence why these lenses perform
very well (on-axis), as optical systems, as at these high f ratios,
aberrations are well corrected. (assuming eye pupil is on axis)
There is no way an EP / eye can be designed which will perform well at
f1.8 .... Modern optics design is not capable of designing such an
elaborate EP's.... most camera lenses at f 1.8 have 15 - 20 elements
due to the number of aberrations they must contain with lenses this
fast.
The importance of this is...... everyone wants wider fl EP designs....
and this produces a higher degree of design challenges, specially in
35mm viewers, as a very wide fl would be in the 25mm fl
range....combined with a 6mm eye pupil (hard to funnel light into small
film), it produces an f 4 lens, which is very difficult to produce with
the image quality of an f10+ optical system. At best, even at f4, it
would require 5 + element design. This is one reason MF viewers have
such a huge advantage in optical performance, as they operate in the
75/5 = f15 range. And why occasionally, a surplus achromat can
perform reasonably well, considering the lens was not designed for
stereo viewing.... of course, this is hit or miss proposition. I think
Alan got lucky with his Surplus Saturn lenses :-)
DISTORTION - Assuming a doublet lens is designed for use in a MF
stereo viewer.... the amount of distortion is a function of the fl.
(assuming equal size film) The shorter the fl, the greater the
distortion will become... IMO, the lowest you can push a doublet is in
the 70mm fl range..... and even then, expect 5 - 8% distortion. As you
can see from this plot, distortion grows out on the radius. In this
distortion plot, about 6 - 12% distortion from a 4 element design
http://tinyurl.com/5sax4r
About 5 years ago, I had a nice 70mm fl doublets that perform very well,
they are corrected for MF viewing and have about 18mm ER.... their
resolution is consistent throughout the image radius.... but to overcome
the aberrations and control distortion, the doublet is quite big....
about 23 mm thick and about 48mm in diameter IIRC. Of course, i was
not happy with them..... we all want more...
Dons previous comment of:
> IMO, optical quality, (assuming good quality control), is determined by what the achromats were designed to be used for, not by their diameter, whether large or small.This is generally true, unfortunately, in MF doublets, the very wide diameters are what produces greater eye placement leeway component.....and with large eye pupil diameters, the wider the lens, the better in this regard, hence why 3d Worlds doublets are much more sensitive to eye placement vs. the Saturn lenses.
A few other responses....
> I had search for a lens for years that had a larger sweet spot than the 10-15mm range nd never found one that was suitable for viewing.If you do the graph test mentioned above, you will see that 10-15mm range is not attainable in any lens, at any price, no matter how many elements.....this assumes some image quality thresholds.... of course, you can subject your visual system to anything and your brain will make the best of it. So my only point is, it certainly is not ideal, but often workable....I have had many 72mm IPD people use my Saturn and they get by with it.... as well as 59mm IPD users.... some complain after 30 minutes, but not too bad all things considered..... so this is "ideal" vs. "whats available".
> Correcting this distortion always meant more elements, and more elements meant vignetting from the barrel edges.Yep, the only reason a lens design uses more elements, is to correct problems that still exist with less elements. However, if properly designed, vignetting will NOT be an issue, certainly not in the 40mm + fl range. With shorter fl lenses, vignetting (which is NOT necessarily image clipping) does become a problem, no different the Cosine theta fall-off in wide angle camera lenses.
> As for shorter optics, the sweet spot grew even smaller, requiring even more necessity for interocular adjustment.Yep again..... generaly speaking, the more complex the design, the less eye placement leeway the optic offers. In optics software, we always produce MTF charts of the lenses performance with the eye on axis, .5mm off axis, 1mm off axis, etc. The results are often dismal after ~ 1mm off axis.... Here is good on axis MTF chart for a 5 element EP...
http://tinyurl.com/66elyq
To make a good EP design for a stereo viewer, you need to run these MTF values at about 4 positions from exact on-axis, (eye placement leeway, which assumes an IPD adjusting system) then run the same 5 MTF charts for 4 different eye pupil sizes, then for the entire focus range of the optic, typically about 5 diopter increments, which can yield hundreds of graphs.... then, you will get a good look at how the lens performs for the avg. person considering all the variables at play when the viewer is being used by a wide range of users. When some parameters, often focus range, force image quality to degrade below your pre-set threshold, then, you remove eliminate those diopters of focus and force the user to wear his corrective eye wear.... Often the focus MTF charts shows % modulation at the different image radius positions like this....
http://tinyurl.com/5abvb6
This is why optics design is so tedious and difficult, even with modern design software..... an "ideal" lens can take years to hone in on.....
> The "sweet Spot" is independent of lens diameter meaning that larger lenses may not have a larger "Sweet Spot" than a smaller lens but it could.Just so we are clear, this is false....hence why good stereo EP's are so wide.... my best viewing lenses, which have +/- 1.5mm of on axis eye placement leeway (to hold a given threshold of optical performance within all the variables above, - certainly not +/-10mm) has the widest lens elements at 57mm in diameter.
EYE RELIEF (ER).... is often most overlooked component in EP design for stereo viewers....specially considering the eye MUST swivel to see the entire image area... this forces very long ER. Much longer than what binocs or telescope require, where your eye stays on-axis. When ER is too short, when your eye swivels, it will not encounter the sharp rays, and you must bob your head around to find them....not desirable for a stereo viewers.... below is a simulation of this effect in optics software....it shows ER too short for a given user, when the eye is swiveled.... you can see how the periphery ray bundles can not hit the pupil, as the pupil is not in the design location due to ER being too short...... or visa versa.... the problem being, you can not hold the area of focus AND the periphery sharp.... instinctively, we move our head so the eye is positioned to see the sharp rays where we are focused.... of course, in real world viewing, your brain will fight to overcome this, or at times, the peripheral vision of the person is so bad, they won't notice it.... but this is the effect of ER which is too short
http://tinyurl.com/6zglb2
> The surface of the pupil is not directly on the surface of the viewing lens, but at least 5mm from it.5mm air space would be ideal (glass to cornea distance).....but since ER is almost never sufficient, the user naturally slams his eye balls onto the glass, to see the sharp rays, with no vignetting.... hence why the glass is always full of eyelash gunk :-) 3d World ER is way too short, barely 12 - 13mm.... For non eyeglass wearers, when the eye must swivel, 18mm should be a bear min.... 22mm being more ideal, then you won't gunk the lenses. Eye Glass wearers in a stereo viewer would need 25 - 27mm of ER (based on the Apparent Field of View - AFOV) of the EP design - degree of eye swivel.... this will prevent vignetting also....
> An amazing wish list has been presented:The lenses being sharp.
The lenses being distortion free.
The lenses being cheap.
A real possibility ?
The answer is YES, assuming you will accept a very small AFOV and FOV of the film area. But that is unrealistic, as it defeats the purpose of a MF stereo viewer, as we are trying hard to simulate unaided human vision..... so therefore, the answer is, NO..... except if you want 70mm+ fl lenses :-)
The two most critical factors that dictate the complexity of the optics design is the angular field the lens must see (film) vs. its fl. An EP with a fl equal to the films diag. is relatively easy to produce, hence why an 80mm achromat is quite effective (albeit very limited AFOV and often way too short on ER)...... as you increase the AFOV of the EP (IMAX effect) the lens design complexity starts to increase exponentially, as well as the size of the elements and the weight. Here is an example of a nice SWA (Super Wide Angle) EP design for a stereo viewer, notice the widest element is 5" wide....certainly not usable with a dual eye instrument.... and 4 lbs each.
http://tinyurl.com/6p2t93
Telescope users have a huge advantage over us, they can use IMAX like EP's , as they never are worried about that second eye :-) Have a look.....3.5 lbs, 3" wide and $620 each! These are GREAT optics... and have true IMAX experience! (albeit, not for stereo viewers, as their field of view (Field Stop Diameter in astro EP lingo) is much too small....
http://tinyurl.com/6argjs
Anyway, I will go post my dream viewing systems.....
Bill G