Lecture 2 - Laser technology & optical systems

Question 1

Abkürzung LASER

Answer 1

Light Amplification by Stimulated Emission
of Radiation

Question 2

photon energy

Answer 2

𝐸 = ℎ*f
ℎ = 6.626 ⋅ 10−34 J⋅s

Question 3

Resonator:
Moden-Wellenlänge
Frequency spacing

Answer 3

𝜆 = 2*L/𝑞

Δf = 𝜈𝑞+1 − 𝜈𝑞 =𝑐/(2*L)

Question 4

Rayleigh length

Answer 4

𝑧𝑅 = 𝜋𝑤^2/𝜆

Question 5

Intensität

Answer 5

I= P/(𝜋*r^2)

Question 6

Beam radius with distance z from beam waist

Answer 6

𝑤(z) = 𝑤 * sqrt( 1 + (𝑧/𝑧𝑅)^2 )

Question 7

Radius of curvature of phase front

Answer 7

𝑅(𝑧) = 𝑧 *(1 + (𝑧𝑅 /𝑧)^2 )

Question 8

Strahlwinkel

Answer 8

𝜃 ≅ tan 𝜃 = 𝑤0/𝑧R

Question 9

Strahl Parameter Produkt

Answer 9

𝑤0 ⋅ 𝜃 = 𝜆/𝜋 = const.

Question 10

Beam Quality Factor

Answer 10

𝑀2 ≔1𝐾≔ BPPreal/ BPPGauss
= (𝑤0,real ⋅ 𝜃real)/(𝑤0,Gauss ⋅ 𝜃Gauss) > 1

Question 11

Brechungsgesetz (Snellius)

Answer 11

sin(a)n_a = sin(b)n_b

Question 12

Total reflection

Answer 12

𝜃 = arcsin(n / n’)

Question 13

Transfermatrix M

Answer 13

M =
( A B )
( C D)

A= 1
B= Translation matrix (-length)
C= Linse (1/f)
D= Brechung (n / n’)