Photonics Flashcards

1
Q

What is the simple way of calculating irradiance?

A

power/area

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2
Q

What is the refractive index?

A

The ratio of the speed of the light in a vacuum to the speed of light in a material.

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3
Q

Equation for the velocity of EM waves?

A
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4
Q

What is the variation of the refractive index with frequency?

A

Depending on the frequency of the incident EM wave, the polarisation induced is caused due to different mechanisms.

At low frequencies, molecules with built-in dipoles may rotate, producing large variations in polarization at the applied frequency.

At higher frequencies, polarization occurs mainly due to the displacement of electrons.

At optical frequencies, it is mainly due to the displacement of electrons.

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5
Q

Topic 2: The equation that relates Ξ΅r to frequency?

A
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6
Q

Topic 2: Clausius-Mossotti equation

A
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7
Q

Topic 2: What is the dispersion?

A

The variation of refractive index with wavelength is known as dispersion.

In other words, light at different wavelengths travels at different velocities.

It is the reasons why prisms break up white into its constituent colours.

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8
Q

Topic 2 - What is group velocity?

A

Group velocity, vg, is the speed at which energy can be propagated.

This is because any real or information-carrying signal will not be truly monochromatic, so different frequency components in the signal will travel at different velocities.

In a vacuum, group velocity would equal phase velocity.

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9
Q

Topic 1: Optical field described by the E-Field alone?

A

The equation 𝐸π‘₯(𝑧, 𝑑) = 𝐸0 cos( πœ”π‘‘ - 𝛽𝑧 + πœ™0) describes a general monochromatic traveling wave which is propagating in the z-direction.

A wavefront is defined by the phase term, πœ”π‘‘ - 𝛽𝑧 + πœ™0, being constant.

As t increases, z must also increase in order to keep the phase term zero, and thus the maxima of the electric field moves in the positive z-direction with time.

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10
Q

Topic 1: Phase Velocity?

A

The phase velocity is the velocity of a point of constant phase on a wave.

Phase velocity is the velocity of any one frequency component.

You can imagine the phase velocity as the internal oscillations moving forward as the whole wave moves forward.

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11
Q

Topic 2: What is the group refractive index given as?

A
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12
Q

Topic 2: What do you need to remember about the wavelength term in the propagation constant?

A

Ξ»0 is the wavelength in the medium

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13
Q

Topic 2: What can be concluded about the group refractive index and the phase refractive index?

A

Less than a 2% difference between the two.

Phase refractive index decreases monotonically with wavelength, the group index has a minimum at roughly Ξ»0 = 1300 nm

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14
Q

Topic 2: What is the optical path length?

A

The optical path length is equal to n**L.

The optical path length is the distance the light would have to travel in a vacuum to experience the same phase change as it does in the material.

Optical path length can also be defined by the following integral:

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15
Q

Topic 2: Why will light be attenuated as it passes through a material?

A

The light will be attenuated due to:

Absorption - loss of power of the EM wave due to the conversion of the light to other forms of energy, for example, lattice vibrations or excitation of the electrons from the valence band to the conduction band.

Scattering - some power of the light wave will be sent into directions other than the main propagation direction. This can be due to reflections at microscopic regions of different refractive index.

In either case, power will be seen to decay exponentially, with a characteristic loss coefficient.

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16
Q

Topic 2: what is the imaginary part of the refractive index related to?

A

The imaginary part can be associated with loss.

17
Q

Topic 2: What are Fresnel’s Equations?

A
18
Q

Topic 2: What is total internal reflection?

A

Beyond the critical angle, there is no transmitted wave, only a reflected wave.

19
Q

Topic 2: What is the Power Reflectance given as?

A
20
Q

Topic 2: What is the power transmission defined as?

A
21
Q

Topic 3: What is luminescence?

A

Luminescence is the emission of light by a substance not resulting from heat.

22
Q

Topic 3: What is light generation by heating called?

A

Incandescence

23
Q

Topic 3: How do Insulators and Semi-Conductors primarily differ?

A

They differ primarily on the respective sizes of their energy bandgaps.

24
Q

Topic 3: If a semiconductor band is T>0K and an electron undergoes recombination with hole, what bandgap would be required for visible light to be seen?

A

The bandgap needs to be around 1eV

25
Q

Topic 3: If an electron and hole are recombining across different k-values, what needs to happen?

How is it done?

A

If the k-value is being changed, the momentum of the particle has to change.

This is more difficult than EHP across a single k-value.

Can be done using a phonon. A wave representation of a crystal vibration, essentially we change the momentum of the electron by giving up some of the kinetic energy to the lattice, making it vibrate more.

A recombination center can also allow this. Can be added using an impurity or deliberate doping of material.

26
Q

Topic 3: What does a more gradual variation for the valence band in the E-k diagram correspond to?

A

It corresponds to the hole having a higher effective mass than the electron.

Which in turn means that most of the holes are going to be at the peak and around it where the slope is the least steep.

Thus, bear in mind, that the curvature of the E-K diagram defines an effective mass for the electron, which will be different from the mass of the electron moving in free space.

The effective masses of the electrons and holes can be quite different. Both can differ significantly from the true mass of the electron.

27
Q

Topic 3: What is boltzmanns constant (kB) times room 300K (roughly room temperature)?

A

around 26 meV

28
Q

Topic 1: What is the photon momentum given by?

A

E/c = Eg/c

Eg is for the bandgap

29
Q

Topic 1; What is the conversion between an eV and a joule?

A

1 eV is 1.60218*10-19