PHY 712 Electrodynamics 9-9:50 AM MWF Olin 105 Plan for Lecture 23:

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Presentation transcript:

PHY 712 Electrodynamics 9-9:50 AM MWF Olin 105 Plan for Lecture 23: Continue reading Chap. 9 & 10 Electromagnetic waves due to specific sources Dipole radiation examples Scattered radiation 03/16/2018 PHY 712 Spring 2018 -- Lecture 23

03/16/2018 PHY 712 Spring 2018 -- Lecture 23

Maxwell’s equations Review: 03/16/2018 PHY 712 Spring 2018 -- Lecture 23

Review: Formulation of Maxwell’s equations in terms of vector and scalar potentials: 03/16/2018 PHY 712 Spring 2018 -- Lecture 23

Electromagnetic waves from time harmonic sources Review: Electromagnetic waves from time harmonic sources 03/16/2018 PHY 712 Spring 2018 -- Lecture 23

Electromagnetic waves from time harmonic sources – continued: Review: Electromagnetic waves from time harmonic sources – continued: 03/16/2018 PHY 712 Spring 2018 -- Lecture 23

Forms of spherical Bessel and Hankel functions: Review: Forms of spherical Bessel and Hankel functions: 03/16/2018 PHY 712 Spring 2018 -- Lecture 23

Electromagnetic waves from time harmonic sources – continued: Review: Electromagnetic waves from time harmonic sources – continued: 03/16/2018 PHY 712 Spring 2018 -- Lecture 23

Electromagnetic waves from time harmonic sources – continued: Review: Electromagnetic waves from time harmonic sources – continued: 03/16/2018 PHY 712 Spring 2018 -- Lecture 23

Properties of dipole radiation field for kr >>1: Example: z r q p E Note that vectors r, E, B are mutually orthogonal y x 03/16/2018 B PHY 712 Spring 2018 -- Lecture 23

Dipole radiation in light scattering by small (dielectric) particles Esc Hsc Einc Hinc 03/16/2018 PHY 712 Spring 2018 -- Lecture 23

Dipole radiation in light scattering by small (dielectric) particles Esc Hsc Einc Hinc 03/16/2018 PHY 712 Spring 2018 -- Lecture 23

Estimation of scattering dipole moment: Suppose the scattering particle is a dielectric sphere with permittivity e and radius a: 03/16/2018 PHY 712 Spring 2018 -- Lecture 23

Scattering by dielectric sphere with permittivity e and radius a: For Einc polarized in scattering plane: q q 03/16/2018 PHY 712 Spring 2018 -- Lecture 23

Scattering by dielectric sphere with permittivity e and radius a: For Einc polarized perpendicular to scattering plane: q 03/16/2018 PHY 712 Spring 2018 -- Lecture 23

Scattering by dielectric sphere with permittivity e and radius a: q q 03/16/2018 PHY 712 Spring 2018 -- Lecture 23

Alternative approach 03/16/2018 PHY 712 Spring 2018 -- Lecture 23

Alternative approach -- continued z q Linear center-fed antenna d/2 03/16/2018 PHY 712 Spring 2018 -- Lecture 23

Alternative approach – linear center-fed antenna continued 03/16/2018 PHY 712 Spring 2018 -- Lecture 23

Alternative approach – linear center-fed antenna continued 03/16/2018 PHY 712 Spring 2018 -- Lecture 23

Alternative approach – linear center-fed antenna continued kd=p 2p 3p 4p 5p 03/16/2018 PHY 712 Spring 2018 -- Lecture 23