L15+16

Question 1

Hermite Gaussian modes

example 0,1

Answer 1

𝑈_0,1 = 𝐴𝑒^{−(𝑥2+𝑦2)/𝑊₀2}

Question 2

Hermite Gaussian modes

example 1,0

Answer 2

𝑈_1,0 = 𝐴𝑒^{−(𝑥2+𝑦2)/𝑊₀2}

the same as 0,1 or duplicate?

Question 3

Fabry-Perot interferometer

What does it do?

Answer 3

Increases light-matter interaction strength by keeping light in the resonator.

Question 4

Free spectral range

What is it related to?

Answer 4

Related to:

• length of the FP cavity
• refractive index
• frequency of light

Question 5

Spectral width

Formula

Answer 5

frequency of light / finesse of cavity

Question 6

Finesse

Answer 6

Related to how reflective the interfaces of the FP cavity are.

And related to how transmissive the cavity is.

Question 7

Stability criterion for resonators

Answer 7

0 < 𝑔₁𝑔₂ < 1 well within range for stability.

Question 8

Confocal resonator

Add context or delete

Answer 8

Stable beam: assume 𝐶 = 0 → 𝑑 = 𝑅₁ = 𝑅₂

D = A

Question 9

Resonator loss

Answer 9

Sources:

• Non-perfect mirror reflectivity
• absorbing material
• finite mirror width

Question 10

Quality factor

Answer 10

• Usually a very large number
• Related to the loss per round trip
• = stored energy / engery loss per cycle

Question 11

Waveguide resonator

Answer 11

All pass ring resonator with only 1 ‘mirror’.

Question 12

Optical resonator

Answer 12

confines (space) and stores (time) light