Optical Knowledge
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Superluminal transmission
3/17/2024
Definition:
Certain quantities travel faster than the speed of light in a vacuum.
Under certain conditions, the phase velocity or group velocity of light may be greater than the vacuum speed of light c. It seems that information can also be transmitted faster than the speed of light, but this is contrary to Einstein's theory of relativity, because this theory holds that super-light transmissio...
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Sellmeier formula
3/10/2024
Definition:
Equation for calculating the refractive index as a function of wavelength.
When characterizing the refractive index as a function of wavelength in transparent optical materials, the Sellmeier formula [1] (also known as the Sellmeier equation or the Sellmeier dispersion formula) is usually used. A typical form is:
This form is derived from a simple physics model that is only suit...
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Brewster windows
3/3/2024
Definition:
A transparent disk pointed at Brewster's angle.
In some cases when a beam of light passes through some transparent window, the loss in the window must be very small. A typical case is a helium-neon laser sealed by a glass tube and containing an external cavity mirror, as shown in Figure 1, where the glass window isolates the gas mixture in the laser from the outside air. Assuming t...
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Bragg gratings
3/3/2024
Definition:
Reflective structures containing periodic refractive index modulation.
An optical Bragg grating is a transparent device with a periodically changing refractive index. The reflectivity is very large in a wavelength region (bandwidth) near a specific wavelength, which satisfies the Bragg condition:
where λ is the vacuum wavelength, n is the refractive index, θ is the propagation a...
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Wavenumber
2/16/2024
Definition:
Phase delay per unit length, or this value divided by 2π.
There are different definitions of wavenumber. The physical definition is:
where λ is the wavelength in the medium (not the vacuum wavelength). The wave number is the size of the wave vector and the phase delay per unit length during the propagation of a plane wave.
Another definition:
The unit is cm-1, which is commo...
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Flat-top beams
2/4/2024
Definition:
The beam has a flat intensity cross-section.
A flat-top beam refers to a laser beam (usually a converted laser beam) whose intensity cross-section is flat over a large area. This is different from a Gaussian beam, where the intensity of a Gaussian beam decreases gently from a maximum value outward along the beam axis to 0. This type of beam is required in some laser applications.
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Gaussian beams
1/28/2024
Definition:
The electric field of a beam on a plane perpendicular to the optical axis can be expressed by the Gaussian equation, sometimes with an additional parabolic phase curve.
Gaussian beams and resonator modes
If the resonator is stable, the optical medium in the resonator is isotropic, and the medium surface is either flat or parabolic, then the lowest-order mode (TEM00 or transverse f...
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Ultraviolet light
1/21/2024
Definition:
Invisible light with a wavelength less than about 400nm.
Ultraviolet light is light with a wavelength less than about 400 nm (the lower limit of visible light wavelengths).
There are several different definitions for distinguishing different spectral regions:
Near UV spectrum region from 400nm-300nm. Mid-UV light ranges from 300nm-200nm, while 200nm-10nm belongs to the far UV reg...
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Instantaneous Frequency
1/15/2024
Definition:
The differential of the oscillation phase with time divided by 2π.
When describing non-monochromatic signals, instantaneous frequency needs to be used, and its definition is:
That is, the differential of the oscillation phase φ with respect to time. (Removing the factor 1/2π gives you the instantaneous angular frequency.) Unlike the Fourier frequency, the instantaneous frequenc...
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Collimated beams
1/7/2024
Definition:
A laser beam with a small divergence angle.
A collimated beam is a beam (usually a laser beam) that has a small beam divergence angle so that the beam radius does not change significantly after a certain propagation distance. The simplest and most common case is a Gaussian beam, which means that the Rayleigh length is longer than the assumed propagation distance.
A Shack-Hartman...
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Optical lenses
1/3/2024
Definition:
It is a transparent optical device that affects the wavefront curvature of light.
Figure 1: Focus and defocus of a lens.
Optical lenses contain a transparent medium through which light enters from one side and exits from the other. The function of a lens is to change the wavefront curvature of light, that is, to focus or defocus the light. For example:
A collimate...
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Infrared light
12/25/2023
Definition:
Invisible light with wavelengths between 750nm and 1mm.
The wavelength of infrared light is greater than 700-800nm, which is the upper limit of the wavelength of visible light. The boundary between the two is not very clear, and the responsivity of the eye decreases very slowly in this area. Although the responsivity is already very low at 700nm, it can still be seen at a wavelengt...
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Laser beams
12/17/2023
Definition:
A beam of light traveling in one direction.
In most cases, the light radiated by a laser is a laser beam. That is, the radiation beam propagates in a specific direction, and the optical power is concentrated on a small area of several square millimeters.
The laser beam is very close to the Gaussian beam. The cross-section of the Gaussian beam intensity can be described by the Gaus...
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Optical Spectrum
12/11/2023
The spectrum (or radiation spectrum) of a light source or some light beam contains information about the distribution of energy and power in different wavelengths. It is usually expressed in the form of a graph, giving a curve of the power spectral density versus wavelength or optical power. Figure 1 is an example, showing the numerical simulation spectrum of a supercontinuum light source. The spe...
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Types and applications of waveplates
12/4/2023
The most common waveplates are quarter-waveplates (λ/4 plates) and half-waveplates (λ/2 plates), in which the phase retardation differences in the two linear polarization directions are π/2 and π respectively, and the corresponding phase propagation The distances are λ/4 and λ/2 respectively.
Here are some important conclusions:
If the beam is linearly polarized and the polarization direction ...
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