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Wave Properties and Formulas

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Wave Speed (v)

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Wave speed is the distance a wave travels per unit of time. It is calculated as the product of the wave's frequency (f) and wavelength (λ\lambda), given by v=fλv = f \lambda.

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Amplitude (A)

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Amplitude is the maximum displacement of points on a wave, relative to their equilibrium positions. It's generally a measure of the wave's energy.

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Wave Polarization

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Wave polarization is the orientation of oscillations in a transverse wave. For light, polarization specifies the direction of the electric field oscillations.

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Wave Intensity (I)

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Wave intensity is the power per unit area carried by a wave. It is proportional to the square of the wave's amplitude (A), given by I=PAI = \frac{P}{A} where P is power and A is area.

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Standing Wave (Node and Antinode)

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A standing wave is a wave that remains in a constant position. Nodes are points of zero amplitude, while antinodes are points of maximum amplitude on a standing wave.

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Period (T)

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The period is the time it takes for one complete cycle of a wave to pass a given point. It is the inverse of frequency, given by T=1fT = \frac{1}{f}.

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Refraction Index (n)

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The refraction index, or index of refraction, is a dimensionless number that describes how fast light travels in a medium compared to the speed in vacuum. Given by n=cvn = \frac{c}{v} where c is the speed of light in vacuum and v is the speed of light in the medium.

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Wavelength (λ\lambda)

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Wavelength is the distance between two consecutive points that are in phase on a wave, such as two crests or troughs. It is usually measured in meters.

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Frequency (f)

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Frequency is the number of oscillations or cycles per unit time that pass a particular point. It is measured in hertz (Hz).

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Wave Phase Difference

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Wave phase difference is the difference in stages of the cycle for two points on a wave, often leading to constructive or destructive interference. It is usually measured in degrees or radians.

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