Maybe you could translate that into hunter talk.
1 language
From Wikipedia, the free encyclopedia
This article is about the magnetic law. For the stochastic distribution, see Rayleigh distribution. For optical scattering, see Rayleigh scattering. For wireless multipath propagation, see Rayleigh fading.
The
Rayleigh law describes the behavior of
ferromagnetic materials at low
fields.
Ferromagnetic materials consist of
magnetic domains. When a small external field ďż˝
is applied, domains parallel to the external field start to grow. In this region,
domain walls are moving. They are hindered by material defects.
Lord Rayleigh investigated this first
[1] and quantified the magnetization ďż˝
as a linear and quadratic term in the field:
�=�0�+���0�2.
Here �0
is the initial
susceptibility, describing the reversible part of magnetisation reversal. The Rayleigh constant ��
describes the irreversible
Barkhausen jumps.
The Rayleigh law was derived theoretically by
Louis NĂ©el.,
[2][3]
The same law describes polarization
[4] and direct
[5] and converse
[6] piezoelectric response of some
ferroelectric and ferroelectric-
ferroelastic materials. The common feature for ferromagnetic, ferroelectric and ferroelastic materials (i.e.,
ferroic materials) are domains whose boundaries (domain walls) can be moved by magnetic, electric or mechanical fields.
Fair....Rayleighs can be used in many physics applications but when we are discussing light, it is specific.
In the Rayleigh criterion equation,
CD is the
critical dimension, or smallest possible feature size, and
λ is the
wavelength of light used. (the optics ratio between CD, ocular and the amount of light transferred
λ from the objective lens to it and into your eye objective lenses NA)
NA is the
numerical aperture of the optics, defining how much light they can collect.
Finally,
k1 (or the
k1 factor) is a coefficient that depends on many factors related to the chip manufacturing process. The physical limit lithography. Smaller critical dimension can be achieved by using a combination of smaller light wavelength and larger numerical aperture (NA), while pushing k1 as close as possible to the physical limit.
This is why when with many scopes, as you turn up the power to max, it gets dark to your eye and sometimes loses clarity (114.3 is diminished in direct ratio = reductions go down as the power to aperture goes up so 114.3 may be reduced to 100 or 96 or 83 etc...)
In English LOL. The human eye can only resolve (see with full clarity and focus) a minute of angle at 100 yards as a constant. This is a measurement of the light required through any optics for the eye to perform at optimal levels (114.3). As the power goes up, the amount of light compressed goes up and compressed light is harder for the eye to see. More compression, less clarity.
Simplified example:
For scopes you divide 114.3 (Rayleigh's constant) by objective to find the highest power that an optic is usable.
So an spotter with an 80mm obj
optimal magnification is 42x. It may be useable at 4 pm at 50 or 60 but once the amount of useable light is diminished, the ability for they eye to see is diminished.
114.3/80mm = 1.43 seconds,
then 60 seconds / 1.43 = 42x
Going beyond 42x only amplifies errors, affects clarity, enhances mirage, magnifies heartbeat, wind wiggle, etc...
This is part of why as you move up the ladder in more expensive, brighter, and larger scopes, they are more clear. Of course scope construction, lens material and overall coatings matter - Why sometimes with your Swaro you can see slightly better at low light with the optic than you can with your eye. But even that has its limits. From just a build perspective a 1 inch tube scope with a 40mm objective will not be as bright at 16 power as a 34mm tube and 56mm objective at 16 power.