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Optics Quiz
| Question | Answer |
|---|---|
| Wavelength | Wavelength is the distance between successive points of identical phase in a wave (such as crest to crest), representing the spatial period of the wave. |
| Longitudinal Waves | Longitudinal waves are waves in which the oscillations of the medium’s particles occur parallel to the direction the wave propagates. |
| Transverse Waves | Transverse waves are waves in which the oscillations of the medium or field occur perpendicular to the direction the wave propagates. |
| Travelling wave | A travelling wave is a wave that propagates through space or a medium, transferring energy from one location to another without transporting matter overall. Has equation form f(x-vt) or df/dt = -vdf/dx |
| Wave on a string | Waves on a string are transverse mechanical waves that propagate along a stretched string due to tension, with wave speed given by v=(T/p)^1/2, where (T) is the tension in the string and ( p ) is the linear mass density. |
| Sinusoidal Travelling Wave | A sinusoidal travelling wave is a wave whose displacement varies sinusoidally in both space and time as it propagates, typically described by y(x,t) = Asin(kx-wt+p) where A is the amplitude, k is the wave number, w is the angular frequency, |
| Law of Reflection | The law of reflection states that when a wave reflects from a surface, the angle of incidence equals the angle of reflection, measured relative to the normal to the surface: 0i = 0r |
| Law of Refraction | The law of refraction states that when a wave passes between two media, the angles of incidence and refraction are related by Snell’s law, n1sin01 = n2sin02 |
| Index of Refraction | The index of refraction is a dimensionless quantity defined as n=c/v, where (c) is the speed of light in vacuum and (v) is the phase velocity of light in the medium, describing how much the medium slows the propagation of light. |
| Apparent Depth | Apparent depth is the perceived depth of an object viewed through a refracting interface, given by d(app) d/n for normal viewing from air into a medium of refractive index (n), where (d) is the real depth. |
| Paraxial Rays | Paraxial rays are light rays that make small angles with the optical axis and lie close to it, allowing the use of the small-angle approximation sin0 = 0 and tand0 = 0 in geometric optics analysis. |
| Total Internal Reflection | Total internal reflection is the complete reflection of a wave back into a higher-index medium when it strikes the boundary with a lower-index medium at an angle greater than the critical angle, where the critical angle satisfies sin0 = n2/n1 (n1>n2) |
| Fermat's Principle of Least Time | Fermat’s principle of least time states that the path taken by light between two points is the one that makes the optical travel time stationary (usually minimum), expressed as sin0i/vi = sin0t/vt |
| Extended Light Sources | Extended light sources are light sources that have a finite spatial size rather than being a single point, producing light rays originating from many different positions on the source. |
| Concave Mirror | A concave mirror is a spherical mirror with the reflective surface on the inner curved side that converges parallel incoming rays toward a focal point, and it is also called a converging mirror. |
| Convex Mirror | A convex mirror is a spherical mirror with the reflective surface on the outer curved side that causes parallel incoming rays to diverge as if they originate from a virtual focal point, and it is also called a diverging mirror. |
| Converging lens | A converging lens is a lens that brings parallel incoming rays to a real focus after refraction, typically a convex lens. |
| Diverging Lens | A diverging lens is a lens that causes parallel incoming rays to spread out as if they originate from a virtual focal point, typically a concave lens. |
| Optical Path Length | Optical path length is the effective distance light travels in a medium weighted by refractive index, |
| Linear Polarization | Linear polarization is a state of electromagnetic wave polarization in which the electric field oscillates in a single fixed plane perpendicular to the direction of propagation, |
| Circular polarization | Circular polarization is a state in which the electric field has constant magnitude but rotates at a constant angular frequency in the plane perpendicular to propagation, typically formed by two orthogonal linear components of equal amplitude |
| Elliptical polarization | Elliptical polarization is polarization in which the electric field traces out an ellipse in the plane perpendicular to propagation, resulting from two orthogonal components with unequal amplitudes out of phase |
| Doppler Effect | The Doppler effect is the change in observed frequency (or wavelength) of a wave due to relative motion between the source and the observer, given by L'/L = [(1-v/c)/(1+v/c)]^1/2, (v) is relative speed |
| Jones matrices | ones matrices are 2×2 complex matrices used to describe how an optical element transforms the polarization state of fully polarized light, acting on a Jones vector [Ex, Ey] |
| Quarter-wave-plate | A quarter-wave plate is a optical device that introduces a pi/2 phase shift between orthogonal polarization components, converting linear polarization into circular polarization (or vice versa when reversed), with delta = 2pi/L *delta n |
| Phase Difference | Phase difference is the difference in phase between two waves or oscillations at the same point in space and time ( delta = alpha2 - alpha1, alpha = kx + p) |
| Constructive Interference | Constructive interference is the superposition of waves that are in phase, resulting in an increased resultant amplitude, occurring when the phase difference satisfies Deltap = 2pim or path difference Delta L = lambda where ( m ) is an integer. |
| Destructive Interference | Destructive interference is the superposition of waves that are out of phase, resulting in reduced or zero resultant amplitude, occurring when the phase difference satisfies Deltap = (2m+1)pi or path difference Delta L = (m+1/2)L |
| Mutually Incoherent | Mutually incoherent refers to two or more light waves whose relative phase varies randomly in time, so their cross-interference averages to zero over time, meaning the observed intensity is the sum of individual intensities |
| Mutually coherent | Mutually coherent refers to waves that maintain a fixed phase relationship over time, allowing stable interference patterns |
| Standing Wave | A standing wave is a wave pattern formed by the superposition of two waves of the same frequency and amplitude traveling in opposite directions, characterized by fixed nodes and antinodes, commonly described by y(x,t) = 2Asin(kx)cos(wt). |
| Bandwidth | Bandwidth is the range of frequencies over which a wave source or system operates effectively, typically defined as Delta f = fmax - fmin}) |
| Films | Thin films are layers of material with thickness on the order of the wavelength of light, in which reflected waves from the top and bottom interfaces interfere, producing wavelength-dependent interference determined by path differences Delta = 2ntcos0 |
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