EEE 537 L4 Propagation in Media

EEE 537 L4 Propagation in Media - Chapter 2: Light...

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Chapter 2: “Light” Propagation in Media • What is “light” has been evolving, in general EM wave propagation • Entire EM spectrum is described by the Maxwell equations • Semiconductors have been used to generate “light” (semiconductor sers and LEDs) in the wavelength range from 300nm- 00 microns lasers and LEDs) in the wavelength range from 300nm 100 microns, or from deep UV to far IR. The boundaries are being pushed constantly. • The boundary between electronics and photonics is also evolving and verlapping overlapping EEE537_Fall 2010 C.Z. Ning, ECEE ASU 1
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Maxwell Equations (MKS, SI units) r r r araday’sLaw 0 = + × D t B E r r r r = CS s d t B l d E r r + = s d D J l d H r r r r r Faraday s Law Ampere’s Law = = × ρ D J t H r t ∫∫ = S V dV S d D ρ r r Gauss theorem 0 = B r For a homogeneous and isotropic medium, constitutive relations are given by = S S d B 0 r r No magnetic monopole H/m 10 4 ty permeabili F/m 10 85 . 8 ty permittivi 7 0 0 12 0 0 × = = = = × = = = = π μ ε r r H B E D r r r r e relative permittivity and permeability of the medium and constants • Most of semiconductors of optoelectronic interest are non-magnetic, or are relative permittivity and permeability of the medium and constants for linear medium 1 = r r r , • The upside-down capital delta symbol , called "del" or “nabla”, is used to denote the gradient and other vector derivatives. EEE537_Fall 2010 C.Z. Ning, ECEE ASU 2
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Background of Maxwell Equations • James C. Maxwell (1831-1879, Scotland): Published his ectromagnetic field equations in 1864 based on previous electromagnetic field equations in 1864 based on previous experimental work and concepts of Gauss, Ampere and Faraday and his own knowledge of mathematics.
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EEE 537 L4 Propagation in Media - Chapter 2: Light...

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