i. Law of Reflection


reflection

The law of reflection states that for a given beam of light, incident on the surface of a reflective material,
the angle at which the beam is incident on a surface will be equal to the angle at which it reflects off the
surface with respect to the normal line (an imaginary line perpendicular to the plane of the surface at
the point of incidence/reflection).


In the image above, Theta1 and Theta2 represent the respective angles relative
to the normal line of the surface. A plane mirror is illustrated meaning
the surface is smooth and flat across the horizon.



rays         l

Above, to the left, we see what the law of reflection looks like when we stand in front of a mirror.
Notice the trajectory by which the ray of light travels as it leaves the light source, reflects, and travels
away from the mirror. The trajectory is confined to a plane by the law of refection.
This can be observe by studying where you must stand in room in order to see
another part of that room reflected back towards your eyes.

 
                                 

ii. Snell's Law of Refraction

refraction


The refraction of light through a median is determined by that medians index of refraction. The index of refraction of a given material is a property of the material
itself and it is a factor in determining how much light bends as it passes through a material.


If a beam of white light (light containing all colors in the visual spectrum) passes through a prism, the different colors (wavelengths) of light will bend by specific
degrees in a given material, varying slightly due to wavelength. This slight variation is observed as a rainbow by human eye.
Light may bend so drastically as it passes through material with a high enough index of refraction that it can appear to slow down; however, this is not true . The path
of the light is being altered, and therefore it can take longer for it to travel through a given material, but the light itself never slows down during this process.


iii. Lenses

lens1               

Lenses are thin pieces of shaped, generally transparent,  material that can redirect light towards different trajectories
depending on their shape and size. The dynamics of lenses can be understood to a degree by connecting what we have discussed so far
regarding the laws of reflection and refraction.

As illustrated in the image below we see beams of light how as they travel from a source at A., through the first small lens, converging
to form a smaller, inverted image at B.. The image at B then becomes the source of light for the second, large lens, and the beams
 travel from B., through the lens, to form the final image at C.

lens 2

Beams of light which travel through a converging lens, as shown below,  converge to a specific point on the other side: this
is defined as the focal point of the lens. The focal point is measured as the distance from the center of the lens to the spot
where the rays converge:

focal point

iv. Vision

The anatomy of the human eye is designed to takes advantage of how light operates using a dynamic similar to what we have
discussed concerning lenses.


A.eye           B. eye lens

Image A, above, is a basic diagram, illustrating some of the key structures of the eye.
Light passes through the eye, into the pupil, where the light is then directed by the lens
of the eye to converge at a point at the back of the eye. At this point the image information
travels along the optical nerve, and will end up relayed to the visual cortex of the brain, where
the brain then constructs the final visualization of what an observer perceives.

Image B, illustrates what it looks like when our eyes use light to form an image. Notice how the object
in the eye forms inverted and smaller than the source. This is due to the shape of the "lens" of the human eye.
The brain itself is responsible for re-flipping the image we ultimately perceive as reality.


v. Focus

farpointnearpoint


The human eye is typically able to focus on things very far away: the farpoint of the eye's focus is said to be infinite.

The nearpoint, where the eye can focus on things up close, is on average, about 25cm in front of the lens of the eye.


It is accepted that the variation of focus achieved by the eye is a property of the lens of the eye which the light passes through.
The pupil diameter (width) aids in image clarity,  the iris helps adjust the diameter as needed. When the pupil is dilated to a small width, less light can pass
into the eye and therefore the light is not as intense. In a low lit room, the pupil will dilate to become wider, so as to pick up as much
light as possible.



hy                    my

As we observe commonly, the human eye is not always perfect at focusing correctly. The condition of hyperopia, above (left),
better known as farsightedness, is when a person can only focus on things at a far distance from their eyes.
Light from objects up-close is focused too late by the lens of their eye to form a decent image.

Myopia, or nearsightedness, is when a person is easily capable of focusing on things up close, but when they focus for away,
the eye converges the light rays too soon (before it reaches the back of the eye) causing objects at a distance to appear blurry.