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GeomOpt_Part31

# GeomOpt_Part31 - Department of Electrical and Computer...

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Department of Electrical and Computer Engineering ECSE 527 Optical Engineering Geometric Optics III: Gaussian Beams References: Saleh and Teich (Fundamentals of Photonics): 3.1 and 3.2 (but these notes should be sufficient) Andrew Kirk 2010 Gaussian beams 1

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Example: Example: Laso Laso-drill drill Inc Inc You have started working for Laso-drill Inc. Y b k t d i l t t d ill 5 Your boss asks you to design a laser system to drill 5 m diameter holes through 500 microns of steel, using 1.024 m wavelength light I it ibl ? Is it possible? ©AGK 2010 Gaussian beams 2
Overview The Gaussian beam model is a very useful tool for modelling light that emerges from an optical fiber or from a laser We will see that that emerges from an optical fiber or from a laser. We will see that in this model, we cannot focus light to an infinitely small spot, or collimate it over an infinite distance. We will then use this model to work out the effect that a lens has on a beam. This will allow us to t f b i d t l th i t th fib transform beams in order to couple them into another fiber or a particular optical system. Other resources Newport Optics tutorial: http://www.newport.com/servicesupport/Tutorials/default.aspx?id=112 http://www.newport.com/servicesupport/Tutorials/default.aspx?id 112 Melles-Griot collimation and focusing tutorial: http://www.mellesgriot.com/products/lasers/lsrdiode.asp ©AGK 2010 Gaussian beams 3

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Outline Origins of Gaussian beams Beam-waist and Rayleigh range Beam-waist evolution T f ti f b b l Transformation of beams by lenses ©AGK 2010 Gaussian beams 4
Learning outcomes After taking this class you will be able to: Explain the significance of Gaussian beams Describe a Gaussian beam in terms of beam waist, Rayleigh range and wavelength Calculate the evolution of a Gaussian beam given its initial parameters Calculate the transformation of a Gaussian beam via lens systems ©AGK 2010 Gaussian beams 5

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Gaussian beams Wave optics approach Lasers emit Gaussian beams Light emitted by a single mode fiber is close to Gaussian Diffraction limited beams A Gaussian beam remains Gaussian as it 40 propagates 40 -20 0 20 ©AGK 2010 Gaussian beams 6 0 200 400 600 800 1000 -40
Example: CD pick Example: CD pick-up up Collimat or Quart er wave Di PBS Lens Quart er-wave Plat e Disc Laser Diode Diffraction Grat ing Concave Singlet C li d i l L Objective Lens Cylindrical Lens How does the beam l h h h Phot odiode Array evolve through the system? ©AGK 2010 Gaussian beams 7

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