Distance between two adjacent identical points in a wave
Frequency
Number of waves per second
Crest
Highest point in a wave
Trough
Lowest point in a wave
Amplitude
Distance between the rest position and the maximum displacement
Period
Amount of time to complete one cycle
Types of Waves
Mechanical Wave
Electromagnetic Wave
Mechanical Wave
Require a medium
Formed through vibrations
Examples: sound, seismic waves
Electromagnetic Wave
Do not require a medium
Formed by moving charges
Examples: light, x-ray
The Electromagnetic Spectrum
Optics
Branch of physics that deals with the behavior of light and other electromagnetic waves
Light is an electromagnetic wave that can be perceived by the naked eye
James Clerk Maxwell
Mathematically predicted the existence of electromagnetic waves in the 1860s
Calculated the speed of electromagnetic waves and found out that they travel at the same
Heinrich Hertz
Experimentally proved the existence of EM waves when he discovered how to make radio waves in the 1880s
Maxwell's predictions and Hertz's experiment led to the conclusion that light is an electromagnetic wave
Speed of light in vacuum: c = 299,792,458 m/s, 3.00 × 10^8 m/s
Wavelength: 380 nm < λ < 700 nm
Light
Has both particle- and wave-like properties
Photons
Discrete units that light travels in, like particles
Photoelectric effect
Electrons are ejected from a metal when light strikes the surface
Light as a wave
It can bend around obstacles (diffraction)
It can exhibit interference when it interacts with other wavefronts
Wavefront
The locus of all adjacent points at which the phase of vibration is the same
Ray
An imaginary line along the direction of travel of the wave
Perpendicular to wavefront
Law of Reflection
Occurs when light bounces off a surface
Specular reflection
When light is reflected from a smooth surface
Diffuse reflection
Scatter reflection from a rough surface
The incident reflected and refracted rays, and the normal to the surface all lined up in the same place
The angle of reflection is equal to the angle of incidence for all wavelengths and for any pair of materials
Law of Refraction (Snell's Law)
Occurs when light bends or changes in direction to another
Light moves slower in more dense media and faster in less dense media
Index of Refraction
Ratio of the speed of light c in vacuum to the speed in the material
For monochromatic light and for a given pair of materials, a and b, on opposite sides of the interface, the ratio of the sines of the angle θa and θb is equal to the inverse ratio of the two indexes of the refraction
Cases of Refraction
Three
The frequency of the wave does not change when passing from one material to another
The wavelength in a material is less than the wavelength of the same light in a vacuum
Total Internal Reflection
Occurs when all the light incident to an interface is reflected back with none of it being transmitted even though the second material is transparent
The index of refraction of material a must be greater than that of material b (na > nb) for total internal reflection to occur
The angle of incidence must exceed the critical angle for total internal reflection to occur
Critical Angle
The angle of incidence for which the reflected ray emerges tangent to the surface