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15. Photons in Semiconductors

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15. Photons in Semiconductors

15. Photons in Semiconductors

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Semiconductor materials Semiconductor materials

) x ( )

L x

( + = ψ ψ

IV

(3)

Si GaAs

(4)

Semiconductor materials Semiconductor materials

Selected Elemental and Ill-V Binary Semiconductors

Their Bandgap Energies Eg, at T = 300 K, Bandgap Wavelengths λg = hc /Eg, Type of Gap (I = Indirect, D = Direct)

(5)

UV

Optical fiber communication

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(7)

D. Generation, Recombination, Internal QE D. Generation, Recombination, Internal QE

Electron-Hole generation Electron-Hole recombination

radiative recombination : photons

nonradiative recombination : lattice vibrations (phonons), Auger process

Internal quantum efficiency

the ratio of the radiative electron-hole recombination rate to the total (radiative and nonradiative) recombination rate (r).

Or, in radiative and nonradiative lifetimes

GaN 20 ns 0.1 ns 0.1 ns 0.005

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INTERACTIONS OF PHOTONS WITH ELECTRONS AND HOLES INTERACTIONS OF PHOTONS WITH ELECTRONS AND HOLES

formation of an electron and a hole at some distance from each other but which are nevertheless bound together by their mutual Coulomb interaction.

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Absorption coefficient of bulk semiconductors Absorption coefficient of bulk semiconductors

Si GaAs

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Conditions for Absorption and Emission Conditions for Absorption and Emission

Absorption (PD)

Spontaneous Emission

(LED)

Induced Emission

(LD)

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Spontaneous emission rate and Absorption coefficient Spontaneous emission rate and Absorption coefficient

Spontaneous Emission Spectral Density in Thermal Equilibrium (direct band-band transition)

Absorption Coefficient in Thermal Equilibrium (direct band-band transition)

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Refractive index

Refractive index

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Quantum confinement structures Quantum confinement structures

Why?

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