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Optics and Photonics Selim Jochim MPI für Kernphysik und Uni Heidelberg Email: selim.jochim@mpi-hd.mpg.de Website for this lecture: www.mpi-hd.mpg.de/ultracold/teaching

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What will you learn in this course? How to use advanced photonics instruments and technology in the laboratory Learn to develop your own ideas on how to make use of photonics for (precision) experiments Knowlegde that is widely needed in many labs here: –Biomedical research –Laser spectroscopy –High-power ultrafast lasers for atomic physics –Laser cooling and trapping, (quantum) manipulation of atoms, molecules or ions

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Motivation We make (increasingly) heavy use of photonics in our daily life: Two interesting examples: Green laser pointers emit bright light at 532 nm: How are they made? make use of almost anything you will learn in this course!! DVD reader/writer ( resolution of a microscope for a few !!)

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Contents Preliminary list: 20.4. geometric optics, rays 27.4. wave optics, gaussian beams, 4.5. fourier optics, holography 11.5. Polarization, linear, circular birefringence 18.5. Optical coatings, wave guides, fibers... 25.5. Atom-photon interactions

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Contents II 1.6. Lasers: principle, optical resonators, eigenmodes 8.6. More lasers, solid state lasers, dye lasers, etc. 15.6. Pulsed lasers: Q-swtiching, mode locking, extremely short pulses 22.6. Semiconductor photonics: detectors, LEDs, Lasers 29.6. Nonlinear optics concepts

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Contents III 6.7. Nonlinear optics applications: Frequency doubling, mixing... 13.7. Advanced applications: Frequency comb, optical synthesizer... 20.7. accoustooptical and electrooptical tools: AOM EOM etc. 27.7. Reserved for special topics, extra time that certain subjects may require

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Recommended literature Davis: Lasers and Electro-Optics: Fundamentals and Engineering Saleh, Teich: Fundamentals of Photonics Demtröder: Laserspektroskopie Hecht, Optics (Especially the first few lectures)

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Geometric (ray) optics Light propagates as rays with speed of light, c in vacuum In a medium, the light is slowed down by the refractive index n In an inhomogeneous system, propagation is governed by Fermats principle: Minimize optical path length:

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Reflection and Refraction Easily derived from Fermats principle

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Parabolic mirror Parallel beams are focused onto a single spot: Car headlight!

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Spherical mirror Paraxial rays: Close to optical axis, rays will be focused to F=R/2

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Imaging with spherical mirrors

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Thin lenses

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Paraxial imaging Magnification

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Interfaces between dielectrics … n2>n1 … Total internal reflection …. critical angle:

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Where total internal reflection is used Prisms, e.g. binoculars, camera viewfinder Optical fibers:

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Matrix formalism for parax. rays Use it to describe a complex optical system with a single (2,2)-matrix Define state of a ray by a 2-comp. vector: valid if

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Example matrices Free space propagation Refraction at a surface

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Optical system ….

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Where the paraxial approx. fails … Focussing of a laser beam: Minimize non-paraxial distortions: Plano-convex lens, also best form lens

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Spherical aberration … Can we make all parallel rays incident on a lens end up in a single spot??

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Aspheric lens? Optical path length should be the same for all angles ….

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Aspheric lenses All kinds of quality grades available Molded, plastic material

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Precision machined … ASPHERIC LIMITS STANDA RD HIGH PRECISIO N Diameter (mm) 15-120 Length (mm) 10.5-85 Width (mm) 10.5-85 Dimensional Tolerances (µm) 255 Center Thickness Tolerance (µm) 10035 Wedge Tolerance (µm) 7525 Surface Quality 60-4010-5 Radius Limits (mm) LRC Limited Concave >30.0 Convex >5.0 Radius Tolerance (%) 0.10.05 Total SAG (mm) <25 Aspheric Surface Accuracy (wave) 1/41/10

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