ECEN 5264 Lecture 07

ECEN 5264 Lecture 07 - ECEN 5264 Electromagnetic...

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ECEN 5264 lectromagnetic Absorption Scattering Electromagnetic Absorption, Scattering, and Propagation ropagation Effects on Satellite Communications) (Propagation Effects on Satellite Communications) Professor Albin J. Gasiewski Lecture #7 – February 1, 2011 COT 246 ECOT 246 303-492-9688 (O) al.gasiewski@colorado.edu 1 Classes: ECCS 1B14 TR 9:30-10:45 AM University of Colorado at Boulder Spring 2011 ECEN 5264 EM Absorption, Scattering, & Propagation
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Administration eading: Reading: – EASP slides ASP text (available on ULearn – EASP text (available on CULearn) – Additional references (parts on CULearn): ownes and Schawlow Microwave pectroscopy • Townes and Schawlow, Microwave Spectroscopy 2 University of Colorado at Boulder Spring 2011 ECEN 5264 EM Absorption, Scattering, & Propagation
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Last Lecture • State amplitudes and induced polarization • Complex permittivity and line shapes ramers- ronig relations Kramers Kronig relations 3 University of Colorado at Boulder Spring 2011 ECEN 5264 EM Absorption, Scattering, & Propagation
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Today’s Lecture • Doppler broadening uantum transition types • Quantum transition types • Zeeman splitting & anisotropic fractivity refractivity • Atmospheric dispersion 4 University of Colorado at Boulder Spring 2011 ECEN 5264 EM Absorption, Scattering, & Propagation
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Complex Gaseous Permittivity nder thermal eq ilibri m e can rite permitti it Under thermal equilibrium we can write permittivity contribution for one pair of states (1,2) as : 5
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Line Shape Full Lorentzian line shape factor: ω - ω o ω o "Anomolous" dispersion ( δε <1) - ω o 6 ω ω o
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Permittivity Spectrum Extending the two state model to a large number of state pairs ( k , n ) yields: Above summation must also be extended to include all levant atomic/molecular species 7 relevant atomic/molecular species.
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Absorption Spectrum Consider typical case of ε < ε (i.e., slightly lossy medium): (Nepers/unit distance) Line width: half maximum at ω okn ±1/ τ 8 Full Width Half Maximum (FWHM):
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Doppler Broadening 9
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Doppler Shift of Line Center Frequency Doppler shift of line center frequency ω o depends on mponent of atom/ component of atom/ molecule velocity along
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ECEN 5264 Lecture 07 - ECEN 5264 Electromagnetic...

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