optical communications lecture 3
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Region of approximation6
Region 1 [geometric optics]
Photon energies are small compared with the energy sensitivity of the equipments;
Region 2 [classical theory of electromagnetic]
Region 3 [Quantum optics] very small
Region of approximation7
Geometric Optics How light behave on a large scale
Lens magnification, reflection, refraction, focal length, ….
Classical theory of electromagnetic Radiation, polarization, interference, diffraction, dispersion, light scattering, laser physics.
Quantum Optics Study physical effects
Photoelectric effects, particle aspects, uncertainty principle, quantized energy, …
Theory of Quantum Optics8
The theory of quantum optics provides an explanation for virtually all optical phenomena. It is more general than electromagnetic optics, which was shown earlier to encompass wave optics and ray optics. [See ”Fundamentals of photonics”, Chapter 11, by Saleh].
Radiation from a surface11
Radiance of a surface (): Amount of energy radiated per unit time, per solid angle, per unit of projected area of the surface normal to the direction .
13
Differential power radiated
where is the surface radiance (brightness function).
Total power radiated from surface in the solid angle in direction is
Note: Radiance (brightness ) is a function of wavelength.
Lambertian surface14
Lambertian (diffusive) surface: When a radiating (or reflecting) surface has a radiance that is independent of the viewing angle, the surface is said to be perfectly diffuse, or, a Lambertiansurface.
If is the same in all directions.Lambert’s law:. the angle between the normal to the surface and the direction of the radiation.
Point Source15
A point source is a limit of radiating surface when the area of a surface decreases but it’s brightness increases such that;
exist and is finite, for .Radiance of a point source is isotropic.
Surface irradiance16
The radiant power incident on a unit area of a surface is defined as the irradiance at the surface.
Irradiance: Energy per time per area [J s–1 m–
2] = [W m–2]
differential irradiance at surface 17
By use of steradian definition, we have
So, is given by
Replace with ,