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ECE615_Lecture01

ECE615_Lecture01 - Lecture 1 Introduction Nonlinear Optics...

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1 Nonlinear Optics : phenomena that occur as a consequency of the modification of the optical properties of a material system by the presence of intense light. Nonlinear since Lasers: Maiman 1960 Basov, Prochorov 1960 Franken 1961 Polarization : The dipole moment per unit volume linear optics: = linear susceptibility nonlinear optics: (1) the n-th order nonlinear susceptibility (freq. dependent) the n-th order nonlinear polarizability Assumptions: is scalar; depends only on instantaneous value of fields, no losses or dispersion. Lecture 1 Introduction n I (1) 0 ( ) ( ) P t E t ε χ = ɶ ɶ (1) χ (1) (2) 2 (3) 3 0 0 0 (1) (1) (1) ( ) ( ) ( ) ( ) ... ( ) ( ) ( ) ... P t E t E t E t P t P t P t ε χ ε χ ε χ = + + + + + + ɶ ɶ ɶ ɶ ɶ ɶ ɶ ( ) n χ ( ) ( ) ( ) n n n P E t χ = ɶ ɶ ( ) n χ ( ) P t ɶ
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2 Estimation of ( ) n χ Atomic electric field strength: where: Bohr radius of hydrogen charge of electron mass of electron Planck constant when assumption: nonresonant excitation for condensed matter. Then Polarization plays a key role in the description of nonlinear phenomena: It acts as a local source of new components of EM field.
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