Lecture 8: Laser amplifiers

More documents

Recommendations

Info

Three-level pumping Attaining a population inversion N 0 > 0 in the three-level system requires a pumping rate R > N a /2 sp . A substantial pump power density given by E 3 N a /2 sp . The large population in the ground state (which is the lowest laser level) is an inherent obstacle to attaining a population inversion in a three-level system that is avoided in a fourlevel system (in which level 1 is normally empty as 1 is short). The saturation time constant s ≈ sp for the four-level pumping scheme is half that for the three-level scheme. 100 100
Three-level pumping The dependence of the pumping rate R on the population difference N can be included in the analysis of the three-level system by writing R (N 1 N 3 )W N 3 ≈ 0, N 1 = (N a -N)/2, R 1 2 (N a N)W Substituting this in the principal equation N 2R sp N a 1 2 sp W i 101 101
Page 1 and 2:
Lecture 8: Laser amplifiers Opt
Page 3 and 4:
Optical transitions 3
Page 5 and 6:
Photon-matter interaction processes
Page 7 and 8:
Three basic photon-matter interacti
Page 9 and 10:
Probability per second of a spontan
Page 11 and 12:
Spectral lineshape The spectra
Page 13 and 14:
Homogeneous broadening If all o
Page 15 and 16:
Inhomogeneous broadening Howeve
Page 17 and 18:
Transition rates The transiti
Page 19 and 20:
Transition rates For the upward tr
Page 21 and 22:
Transition rates The total induce
Page 23 and 24:
Blackbody radiation A system und
Page 25 and 26:
Planck’s law of blackbody radiati
Page 27 and 28:
Transition rates In thermal equili
Page 29 and 30:
Boltzmann distribution Energy E E 2
Page 31 and 32:
Transition rates Therefore, the s
Page 33 and 34:
Transition cross section For the
Page 35 and 36:
Optical absorption and amplificatio
Page 37 and 38:
Optical absorption and amplificatio
Page 39 and 40:
Resonant optical susceptibility Fo
Page 41 and 42:
Resonant optical susceptibility Th
Page 43 and 44:
Population inversion 43
Page 45 and 46:
Population inversion A nonequilibr
Page 47 and 48:
Rate equations The net rate of chan
Page 49 and 50: Population inversion Population in
Page 51 and 52: Two-level systems No matter how a
Page 53 and 54: Two-level systems Take the upward
Page 55 and 56: Two-level systems Intuitively, th
Page 57 and 58: Quasi-two-level systems By pumpi
Page 59 and 60: Population inversion in three-level
Page 61 and 62: Three-level systems The parameter
Page 63 and 64: Four-level systems pump h p Nonradi
Page 65 and 66: Neodymium-doped glass Nd 3+ :glass
Page 67 and 68: Coherent optical amplifiers Gain, n
Page 69 and 70: Coherent light amplification As
Page 71 and 72: Population inversion Light tran
Page 73 and 74: Real coherent amplifiers Real
Page 75 and 76: Gain and bandwidth The wave is am
Page 77 and 78: Gain coefficient As the incident
Page 79 and 80: Gain coefficient The coefficient
Page 81 and 82: Gain bandwidth The dependence
Page 83 and 84: Phase‐shift coefficient The las
Page 85 and 86: Rate equations 2 R 2 1/ 21 = 1/ sp
Page 87 and 88: Rate equations in the absence of am
Page 89 and 90: Rate equations in the presence of a
Page 91 and 92: Four-level pumping Pump R Laser W i
Page 93 and 94: Four-level pumping In most four-le
Page 95 and 96: Four-level pumping Under these c
Page 97 and 98: Three-level pumping Rapid decay S
Page 99: Three-level pumping The population
Page 103 and 104: Saturated gain in homogeneously bro
Page 105 and 106: Gain coefficients This represents t
Page 107 and 108: Amplified spontaneous emission T
Page 109: Amplifier noise The ASE of a la
show all

Lecture 8: Laser amplifiers

Create successful ePaper yourself

Delete template?

Save as template?