INTRODUCTION
The 35mm "Full-Frame" vs. DX size digital sensor
controversy is caused by a general lack of "digital sensor"
knowledge on the part of many users, and strong marketing
propaganda on the part of some sellers.
Many
camera users haven't investigated the design of lenses and
how light must fall on a digital sensor, compared to film.
Sound
physical evidence shows that, due to the micro lenses
over the sensor, a 35mm lens cannot fully cover current 35mm
sized sensor chips! The light fall-off from 35mm sized lenses
can be as much as two-stops on the frame edges, simply because
a sensor chip requires light to hit it almost directly.
LIGHT
FALLOFF
Look
at it this way. If the sensor's pixels are like a deep bucket,
they need to be hit directly from the top to enter. If you
tossed a ball into a bucket, it will go in easily if it's
dropped in from overhead. But, if you toss it in from an angle
there is a good chance it will bounce off the rim and not
go into the bucket. (Which is why the basketball leagues pay
so much to those who can get the ball in the hoop regularly)
Light behaves the same way as the ball. 35mm lenses are not
designed to bring light directly into the bucket (pixel),
but instead cause the light to come in at a greater angle
progressively as you move toward the edge of the lens. With
35mm film there are no pixel buckets, just random silver grains,
so angle doesn't matter as much.
In
Figures 1 & 2 below, I have attempted to explain how this
works. The bubbles on the front of the sensor are micro lenses
that attempt to focus the incoming light rays on the best
part of the pixel bucket. The pixel buckets are represented
by the white rectangles in the blue sensor.
Notice
in Figure 1 how the light rays (green) are coming from the
back of the lens and are being focused correctly on the back
of the pixel element by the micro lenses on the sensor. No
light is bouncing off the rim of the pixel bucket.

As
you move from the center to the edge of a 35mm lens a higher
and higher level of light is unable to enter the pixel bucket
directly, so the light drops off and you have less light on
your subject on the edges of the frame. As we all know, the
less light that reaches the sensor the harder the "chip"
must work and the more noise that is generated. So, a full-frame
chip with a 35mm lens will have more noise on the edges and
lots of light fall off.
Notice
in Figure 2 how the micro lens is struggling to focus the
light on the back of the pixel element. Since it cannot cause
the light to go in directly, there is a certain amount of
light lost.

This
is called light "falloff," and causes the edge of
the image to be dimmer. The larger the sensor is, the worse
the angle the light hits the edges. So a full-frame sensor
is destined by the laws of physics to have significantly more
light falloff than a DX sized-sensor. In many cases the falloff
can be as much as two full stops of light.
There
are three ways to lessen this problem: