ECEN 5264 Lecture 05

ECEN 5264 Lecture 05 - ECEN 5264 Electromagnetic...

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ECEN 5264 lectromagnetic Absorption Electromagnetic Absorption, Scattering, and Propagation (Propagation Effects on Satellite Communications) Professor Albin J. Gasiewski Lecture #5 – January 25, 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 • Reading: – EASP slides – EASP text (available on CULearn) – Additional QM references on reserve: • R.L. White, Basic Quantum Mechanics, McGraw-Hill (1966) • R.L. Liboff, Introductory Quantum Mechanics th edition), Addison- esley (2002) (4th edition), Addison Wesley (2002) • J.J. Sakurai, Modern Quantum Mechanics, Benjamin-Cummings (1985). 2 University of Colorado at Boulder Spring 2011 ECEN 5264 EM Absorption, Scattering, & Propagation
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Last Lecture olarization • Polarization • Absorption coefficient • Plane waves in anisotropic media • Gaseous refractivity 3 University of Colorado at Boulder Spring 2011 ECEN 5264 EM Absorption, Scattering, & Propagation
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Today’s Lecture uantum mechanical polarization Quantum mechanical polarization • Schrödinger’s equation article in potential well • Particle in potential well • Perturbation theory for induced polarization • State lifetimes 4 University of Colorado at Boulder Spring 2011 ECEN 5264 EM Absorption, Scattering, & Propagation
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icrowave Transmissivity Spectrum Microwave Transmissivity Spectrum
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Quantum Theory of Polarization 6
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Application of QM to Atmospheric Refractivity The induced polarization of a gas-phase collection of atoms or molecules, and hence the dielectric properties of the atmosphere, are best explained and quantitatively modeled by considering the QM induced polarization caused by applied oscillating fields. 7
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Quantum Mechanical Wave Function Position of i th particle Spin of i th particle Contains all information about the state of a quantum system, for example, a system of qy , p , y charged particles such as make up an atom or molecule. 8
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Polarization as QM Observable tegral over all possible states QM wave function Integral over all possible states QM expected value of observable " a " QM operator for observable " a " 9
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Polarization as QM Observable tegral over all possible states QM wave function Integral over all possible states QM expected value of observable " a " QM operator for observable " a " 10 Dipole moment operator
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Schrödinger’s Equation 11
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Time Dependent Schroedinger Equation Defines time-evolution of wave function Ψ through the Hamiltonian, or energy operator, H : 12 = Kinetic Energy + Potential Energy
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Erwin R. Schrödinger (1887-1961)
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14 Erwin Schrödinger (1887-1961)
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15 William Rowan Hamilton (1805-1865)
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Some Brief Words about i and j lectrical Engineers: " ime riented" Electrical Engineers: Time-oriented
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ECEN 5264 Lecture 05 - ECEN 5264 Electromagnetic...

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