Interaction of radiation with atoms and ions (I)

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Presentation transcript:

Interaction of radiation with atoms and ions (I) Blackbody radiation Wave equation + boundary conditions Planck’s law Absorption- Stimulated emission E2 W12 =W21 E1

Interaction of radiation with atoms and ions (II) More definitions Cross section Absorption coefficient Gain Spontaneous emission Ratio stimulated/spontaneous emission for blackbody radiation spontaneous !

Interaction of radiation with atoms and ions (III) Line broadening Homogeneous (Lorentz) Collisions Spont. emission Inhomogeneous (Gauss) Doppler Local field Phonons Saturation 2 2 1 1 High absorption Reduced absorption

Ray and wave propagation through optical media Matrix- formulation of Geometric Optics Material with index n lens Gaussian Beam ABCD law

Gaussian beam solution Stable resonators Stability condition General case Two-mirror resonator Round trip matrix Gaussian beam solution Single passage matrix Frequencies