What is the coherent laser amplifier and how it works? Use sketches to illustrat

Question

What is the coherent laser amplifier and how it works? Use sketches to illustrate the Gain profile, phase profile and amplitude response of an ideal laser amplifier and a real laser amplifier. Consider a ruby crystal with two energy levels separated by an energy difference corresponding to a free-space wavelength lambda_0 = 694.3nm, with a Lorentzian lineshape of width Delta_v = 330 GHz. The spontaneous lifetime is t_sp = 3ms and the refractive index of ruby is n = 1.76. What value should the population difference N be to achieve a gain coefficient (v_0) = 0.5 cm^- 1? How long should the crystal be to provide an overall gain of 4 at the central frequency when (v_0) = 0.5 cm^- 1? The gain coefficient at central wavelength for Lorentzian lineshape is given as: (v_0) = N(lambda_0/2m)^2 middot 1/t_sp Delta v.

Explanation / Answer

(a) manily the LASER is the Light Amplification by the Stimulated Emission of Radiations. the main property of laser is the laser light is a monochromatic,direction and Coherent.

monochromatic is the light emitted from the laser.

mainly in this questions what is coherent light from a laser is said to be coherent.it means the wavelength of laser light are in phase in space and time.

the working of Laser is the emits the photons in specific spectal lines is excited by the energy source these photons all are having same wavelenght and are COHERENT the crest and through light waves all are in lockstep.laser light is diffrenet from all other lights,only light contain wave length.

Energy is supplied to the laser medium by the energy pumping system the energy is stored from electrons tapped in the metastable energy levels.

(b)

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