Archived posting to the Leica Users Group, 1997/12/04

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Subject: Re: [Leica] RE: soft focus vs out -of- focus in an ultimate sharpness world
From: "Patrick G. Sobalvarro" <pgs@sobalvarro.org>
Date: Thu, 04 Dec 1997 22:00:15 -0800

At 11:00 PM 12/3/97 -0600, Eric Welch wrote:
>As far as I know, Leica has only two diffraction-limited lenses. So what
>good are those numbers?

I think your question assumes that if a lens isn't diffraction-limited,
then diffraction doesn't matter.  This is a "weakest link" view of how a
photographic system works -- the weakest link in a chain fails first.  But
that isn't how photographic systems work -- instead, the loss of sharpness
is cumulative.  I gave the formula for the limit of resolution of a
diffraction limited lens, but that very same amount of diffraction (it's
the diameter of the Airy disk) is present whether or not the lens is
diffraction-limited, and the blurring it causes will further degrade the
image produced by a soft lens.

> As I heard it, the angle of light in a
>wide angle lens is much more severe (light passing over the edge of the
>aperture). And thus diffraction is increased compared to the light
>travelling through a telephoto where the light is diffracted less becasue
>the angle of attack on the edge of the aperture blade was less severe.

This is getting kind of complicated.  The light doesn't "know" the angle at
which it strikes an aperture edge.  If we think about diffraction in the
way that classical wave theory presents it (which is the only way I
learned, although there are more complicated and accurate ways), each point
on the wavefront approaching an edge is a little point emitter.  It emits
light sideways as well as forwards.  But the light from the points on the
sides of each point constructively interfere with the sideways light and it
all adds up to the wavefront.  When you pass an obstruction, the points
that are blocked by the obstruction are taken away.  The little point
emitters that were next to them continue to emit their secondary waves.  So
do those close to the edge.  The light from these point emitters spreads
sideways (in all directions, strictly speaking) and the wavefronts
interfere in ways that give you the nodal irradiance pattern characteristic
of diffraction.  Nothing about the angle of the light and the aperture edge
is involved.  The irradiance pattern's image on film or a screen it's
projected on will vary according to the angle of the screen or the film
plane to the wavefront, of course, but I don't think that effect comes into
play here.

I'm not a lens designer.  I don't know anything about designing wide-angle
lenses, except for a few very simple ones.  I'm not even a physicist.  But
I have measured aperture diffraction patterns -- it was one of those stupid
labs I got to do when I took classical wave theory.  The patterns do match
up pretty well with the theory.

>So please, define what diffraction limited means. Seems to me these numbers
>don't make sense.

A "diffraction-limited" optical system is one in which aberrations are so
small that the primary factor affecting image quality is the aperture
diffraction.  Why do you say the numbers don't make sense?  Have you
observed diffraction being a problem in short-focal-length lenses and not
in long-focal-length lenses at the same aperture?  If so, how were you able
to tell that diffraction was responsible for the effects you saw?

- -Patrick