week 9 Flashcards
what is light?
- an electromagnetic wave
- a self-propagating combination of oscillating electric and magnetic fields
visible light ranges between
380 and 750 nm
what is refraction?
when a ray of light is transmitted obliquely through the boundary between two materials of unlike index of refraction, the ray bends
the absolute index of refraction of a material is defined as
n = speed of light in vacuum / speed of light in the material
or
n = c / v
what is the relative index of refraction of material 1 with respect to material 2
relative index = n1 / n2
- n1 and n2 are the absolute refractive indices of the 2 material
what happens when n2 > n1, and what happens when n2 < n1
- the ray bends toward the normal as it enters the second material
- the ray bends away from the normal
what 3 aspects lie on the same plane?
the incident ray, refracted ray, and the normal
what are the angles θi and θr called respectively?
angle of incidence, angle of refraction
what does Snell’s Law give?
the way in which a ray refracts at an interface between materials with indices of refraction (ni) and (nr)
what is the equation of Snell’s Law
n1 sinθ1 = n2 sinθ2
what is reflection?
when light hits the surface of almost any material, some of that light ‘bounces back’ off the surface
what does the law of reflection state?
the reflected light leaves the surface at the same angle that the incident light falls on
equation of the law of reflection
θi = θrfl
two ways reflection can be described
specular or diffuse
specular reflection
- when light hits a very flat, reflective surface, such as a mirror
- all light coming from a single direction is reflected in a single direction
diffuse reflection
when the surface is rougher, the light is reflected in a wide range of directions
what is total internal reflection?
the complete reflection of an incident light ray at a boundary, with no transmission
when does total internal reflection occur?
it occurs only for waves incident on a boundary with a medium where the reflective index is reduced
critical angle
n1 sinθc = n2 sin90 = n2
θc = sin^-1 n2 / n1
when the angle of incidence is larger than the critical angle
none of the wave is transmitted through the boundary, only reflection occurs
what is the requirement for materials to be transparent?
visible wavelengths of electromagnetic radiation must pass through without being absorbed
the refractive index is _____ on the shorter wavelength side and _____ on the longer wavelength side
higher, lower
what is dispersion? what are dispersive media?
- when the wave speed is depended on the frequency
- materials with this property are called dispersive media
converging (or positive) lenses are _____ at the center than at the rim, while diverging (or negative) lenses are _____ at the center
thicker, thinner
what is the focal point of a thin lens with spherical surfaces?
the point f where rays parallel to and near the center or optical axis are brought to a focus
focus is _____ for a converging lens and ______ for a diverging lens
real, virtual
what is the focal length (f)
the distance of the peripheral focus from the lens
all rays passing through the lens form an image a positive distance d2 to the right of the lens, which is given by the equation
1 / d1 + 1 / d2 = 1 / f
when is a real image formed at d2?
- when d1 > f
- which means that we will see the image at d2 if we place a screen (such as a piece of paper)
converging lenses form inverted real images of objects located where?
outside the principal focus