103 terms

# PHYS 241

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Huygen's construction or Huygen's principle
Each point on a primary wavefront serves as the source of spherical secondary wavelets that advance at the wavespeed for the propagating medium. The primary wavefront at some later time is the envelope of these wavelets.
Fermat's principle
The path taken by light traveling from one point to another is such that the time of travel is a minimum. That is, light travels along the path of least time.
Index of refraction
n = c/v where v = speed of light in the medium.
Refraction
The change in direction of the transmitted ray.
Angle of incidence
The angle between the incident ray and the normal.
Plane of incidence
The plane containing the incident ray and the normal.
Law of reflection
Angle of incidence equals angle of reflection.
Snell's Law or Law of Refraction
n1sinѲ1 = n2sinѲ2
Specular refraction
Reflection from a smooth surface.
Diffuse refraction
Reflection from a rough surface.
Total internal reflection
Phenomenon which occurs when the incident angle is greater than the critical angle, so no refracted ray exists.
Critical angle for total internal reflection
sinѲc = n2/n1
Dispersion
The dependence of the index of refraction on wavelength.
Angle of minimum deviation
The reflected angle at which the intensity of light reflected is a maximum.
Linearly polarized
When the electric field remains parallel to a line perpendicular to the direction of propagation.
Transmission axis
Direction perpendicular to the chains of hydrocarbons on a Polaroid.
Polarizer
The first of two polarizing elements placed in succession in a beam of unpolarized light.
Analyzer
The second of two polarizing elements placed in succession in a beam of unpolarized light.
Law of Malus
If the polarizer and the analyzer are perpendicular, no light gets through.
Polarizing angle
tanѲp = n2/n1
Scattering
The phenomenon of absorption and reradiation.
Birefringence
complicated phenomenon that occurs in calcite and other noncubic crystals and in some stressed plastics, such as cellophane. In such cases, light is separated into two rays: the ordinary ray and the extraordinary ray.
Isotropic
the speed of light passing through the material is independent of the polarization of the light.
Anisotropic
opposite of isotropic, biorefringent materials are because of their microscopic structure... speed of light changes in these materials due to the direction and propagation of the light.
Optic axis
the direction in which both the extraordinary and ordinary rays propagate at the same speed.
Quarter-wave plate
Plate whose thickness is such that a 90 degree phase difference exists between the waves of a particular wavelength when they emerge.
Half-wave plate
Plate from which the rays emerge with a phase difference of 180 degrees.
Circularly polarized
When the electric field vector rotates in a circle and has constant magnitude because the incident light was linearly polarized so that the electric field vector is at 45 degrees to the optic axis.
Photon
A particle of light with Energy E = hf = (hc)/λ where h = 6.626 x 10-34 J-s = 4.136 x 10-15 eV-s
Spontaneous emission
Random emission where the photons emitted from two different atoms are not correlated
Rayleigh scattering
Scattering which occurs when the wavelength of incident light is large compared with the size of the atom.
Inelastic scattering or Raman scattering
when an incident photon that has just the right amount of energy is absorbed and the atom undergoes a transition to a more energetic state.
Stokes Raman scattering
when the energy of the scattered photon hf' is less than that of the incident photon
Anti-Stokes Raman scattering
when the energy of the scattered photon is greater than that of the incident photon.
Resonance absorption
when an atom absorbs a photon and making the transition to the more excited state
Spontaneous emission
when an atom in an excited state spontaneously undergoes a transition to a less energetic state
Fluorescence
when an atom is excited by ultraviolet light and emits visible light as it returns to its ground state by multiple transitions.
Metastable state
an excited state with a relatively long lifetime - of the order of milliseconds or occasionally seconds or even minutes
Phosphorescent materials
Materials that have very long-lived metastable states and emit light long after the original excitation
Stimulated emission
when the atom is initially in an excited state of energy EH and the energy of the incident photon is EH-EL where EH and EL are the energies of higher and lower energy states. The oscillating electromagnetic field associated with the incident photon can stimulate the excited atom, which then emits a photon in the same direction as the incident photon and in phase with it.
Compton scattering
when the energy of the incident photon is much greater than the ionization energy. In this type of scattering, a photon is absorbed and another is emitted.
Image
The point at which the image forms in optical devices (P')
Object
The point at which the original object is placed in an optical device (P)
Virtual image
Image from which no light actually emanates (behind mirror, etc.)
Depth inversion
The phenomenon that causes your right hand to look like your left hand in the mirror - a right-to-left reversal.
Real image
An image from which rays actually diverge (in front of mirror, etc.)
Paraxial rays
rays that are almost parallel to the axis and are near the axis
Spherical aberration
blurriness caused by rays striking far from the axis and passing near the image point, but not through it.
Focal length
r/2 for a spherical mirror
Focal plane
the plane on which parallel rays incident on the mirror are focused
Focal point
the intersection of the axis with the focal plane
Mirror equation
1/s + 1/s' = 1/f
Ray diagram
geometric construction of important rays and how they reflect off a mirror
Principal rays
the three rays you need to draw to determine the final image location
Parallel ray
drawn parallel to the axis, it reflects through the focal point.
Focal ray
drawn through the focal point, it reflects parallel to the axis
drawn through the center of the curvature - it is reflected back on itself.
Sign conventions for reflection
s is positive when the object is on the incident-light side of the mirror. s' is positive if the image is on the reflected-light side of the mirror. r, and thus f, is positive if the mirror is concave so the center of curvature is on the reflected-light side of the mirror.
Lateral magnification
m = -s'/s
Refraction at a single surface
(n2 - n1)/r
Sign conventions for refraction
s is positive for objects on the incident-light side of the surface. s' is positive for images on the refracted-light side of the surface. r is positive if the center of curvature is on the refracted-light side.
Magnification for a refracting boundary
m = -(n1s')/(n2¬s)
Lens-maker's equation
1/f = (n/nair - 1)(1/r1 - 1/r2)
Thin-lens equation
1/s + 1/s' = 1/f
Converging or positive lens
a lens whose focal length is positive
Diverging or negative lens
a lens whose focal length is negative (any that is thinner in the middle than at the top and bottom)
First focal point
the focal point on the incident-light side of a converging lens, or on the refracted-light side of a diverging lens.
Second focal point
the focal point on the refracted-light side of a converging lens, or on the incident-light side of a diverging lens.
Focal plane
plane which intersects the axis of a lens at the focal point.
Power of a lens
the reciprocal of the focal length: P = 1/f
Principal rays for a thin lens
the rays you need to draw to determine the location of the final image formed from a thin lens.
Parallel ray
drawn parallel to the axis; emerging ray is directed toward the second focal point of the lens
Central ray
drawn through the center (vertex) of the lens. Ray is undeflected.
Focal ray
drawn through the first focal point, emerges parallel to the axis.
Near point
the closest point for which the lens of the eye can focus the image on the retina
Simple magnifier
what a converging lens becomes when it is placed next to the eye with an object closer to the lens than its focal length.
Magnifying power of a lens
M = xnear point¬/f
Objective
the lens nearest the object in a microscope
Eyepiece or ocular
the lens nearest the eye in a microscope
Tube length
the distance between the second focal point of the objective and the first focal point of the eyepiece in a microscope.
Magnifying power of a microscope
M = -(Lxnear point)/(fobjectiefeyepiece)
Phase difference due to a path-length difference
δ = (∆r/λ)*360°
Phase difference due to reflection
If light traveling in one medium strikes the surface of a medium in which light travels more slowly, there is a 180° phase change in the reflected light.
Coherence length
the length of a given "packet" of sinusoidal waves in nonideal light.
Coherence time
the length of time it takes for a packet of light to pass a given point.
Interference fringes
alternating bright and dark bands caused by viewing a thin film of varying thickness with monochromatic light.
Newton's rings
circular interference fringes resulting from viewing light reflected from an air film between a spherical glass surface and a plane of glass in contact.
Order number
m = 0, 1, 2... for two-slit interference maxima. m = 1, 2, 3... for two-slit interference minima.
Two-slit interference maxima
dsinѲm = mλ
Two-slit interference minima
dsinѲm = (m - ½)λ
Lloyd's mirror
a method of producing a two-slit interference pattern.
Central diffraction medium
in single-slit diffraction, the area where most of the light intensity is concentrated.
Points of zero intensity for a single-slit diffraction pattern
asinѲm = mλ, m = 1, 2, 3,...
Phasor
a vector which rotates in the xy-plane with angular frequency ω
Intensity for a single-slit diffraction pattern
I = I0*[{sin(φ/2)/ (φ/2)}^2]
Interference-diffraction intensity for two slits
I = 4I0[{sin(φ/2)/ (φ/2)}^2]]*[{cos(δ/2)}^2]
Fraunhofer diffraction pattern
diffraction pattern that is observed at a point for which the rays from an aperture or an obstacle are nearly parallel
Fresnel diffraction pattern
Diffraction pattern observed near an aperture or obstacle.
Rayleigh's criterion for resolution
when the critical angle of separation, αc = 1.22λ/D, separates two sources as seen through a circular aperture, the two sources will be seen as one source.
Diffraction grating
tool used for measuring the wavelength of light which consists of a large number of equally spaced lines or slits on a flat surface.
Spectral line
in a diffraction grating, each wavelength emitted by the source produces a separate image of the collimating slit
First-order spectrum
the spectral line corresponding to m = 1.
Second-order spectrum
the spectral line corresponding to m = 2.