Fundamentals of modern optics (2017/2018 WS)

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FoMO17_info_2017-10-10.docx 1 Fundamentals of modern optics (2017/2018 WS) by Prof. Thomas PERTSCH at Abbe School of Photonics, Friedrich-Schiller-Universität Jena in winter term 2017/2018 LECTURES: Monday, 08:30-10:00, auditorium ACP, Abbe Center of Photonics, A.-Einstein-Straße 6 Friday, 08:30-10:00, auditorium ACP, Abbe Center of Photonics, A.-Einstein-Straße 6 SEMINARS: Monday, 10:15-11:45, auditorium ACP, Abbe Center of Photonics Monday, 10:15-11:45, seminar room 1 ACP, Abbe Center of Photonics Wednesday, 08:15-09:45, seminar room 1 ACP, Abbe Center of Photonics Wednesday, 12:15-13:45, seminar room 1 ACP, Abbe Center of Photonics Lecturer Thomas PERTSCH Email: Visiting Address: Seminar teachers Najmeh ABBASIRAD Nils BECKER Anton PAKHOMOV Jannik TRAPP thomas.pertsch@uni-jena.de Institute of Applied Physics, Abbe Center of Photonics, Campus Beutenberg, Albert-Einstein-Str. 6, 07745 Jena Email: najmeh.abbasirad@uni-jena.de Email: nils.becker@uni-jena.de Email: anton.pakhomov@uni-jena.de Email: jannik.trapp@zeiss.com Seminars - Normally seminar task sheets are distributed every Friday after the lecture. - Students are expected to solve the task by themselves. Teamwork is strongly encouraged, in the form of a discussion of the task and possible solution strategies. However plain copying of solutions is strongly discouraged. - If not stated otherwise in the task sheet, solutions must be returned the following Friday before the beginning of the lecture. - Please use a new sheet of paper for your solution of every task. - Corrected solutions will be returned in the seminars. Midterm exam Type: written test examination Subject: content of lectures and seminars Date/time: 18.12.2017, 8:15 am Duration: 90 minutes Location: auditorium ACP, Abbe Center of Photonics, Albert-Einstein-Straße 6

FoMO17_info_2017-10-10.docx 2 Final exam Type: written examination Subject: content of lectures and seminars Date/time: 16.02.2018, 10:00 am Duration: 120 minutes Location: Lecture Hall 1, Physics, Max Wien Platz 1 Retake of exam Date/time: 23.03.2018, 10:00 am Duration: 120 minutes Location: auditorium ACP, Abbe Center of Photonics, Albert-Einstein-Straße 6 Grading The final grade will be determined as the better grade of the following two options: A) by 70% from the result of the final exam and by 30% from the results of the seminar tasks B) by 100% from the result of the final exam. The final exam must be passed to pass the entire course. An extra 15% positive influence on the final grade can be derived from the midterm exam. Literature - lecture script which can be downloaded from the lectures webpage - B. E. A. Saleh and M. C. Teich, Fundamentals of Photonics, Wiley (2007) fits well to the course. - E. Hecht, "Optics," Addison-Wesley (2001) gives more intuitive explanation of several phenomena. - M. Born and E. Wolf, "Principles of Optics," Cambridge University Press (1999) advanced topics covered in more detail. - and list of books given in the first lecture Miscellaneous All lecture scripts and additional material will be posted at: www.iap.uni-jena.de/teaching

FoMO17_info_2017-10-10.docx 3 Lecture and seminar schedule # Date Topics Script (up to page) L01 16.10. Introduction and Maxwell's equations I 27 S01 W42 Fourier transform; delta distribution L02 20.10. Maxwell s equations II 30 L03 23.10. Optical properties of matter; classification of types of media 34 S02 W43 Vector analysis; Stokes theorem; Maxwell s equations; Polarization L04 27.10. Material models 44 L05 30.11. Poynting vector and energy balance 47 S03 W44 Poynting vector and continuity equation L06 03.11. Normal modes in homogeneous isotropic media 52 L07 06.11. Plane wave solutions in different frequency regimes 56 S04 W45 Lorentz model, normal modes, and vector waves L08 10.11. Beams and pulses analogy of diffraction and dispersion 60 L09 13.11. Arbitrary narrow beams (cont.) & Fresnel- (paraxial) approximation 65 S05 W46 Diffraction in Fresnel approximation (slit, Talbot effect, Airy waves) L10 17.11. Paraxial wave equation 69 L11 20.11. Propagation of Gaussian beams 74 S06 W47 Fresnel approximation, paraxial wave equation, Gaussian beams L12 24.11. Gaussian optics with q-parameter formalism 80 L13 27.11. Resonator stability and higher order modes; Pulse propagation 85 S07 W48 Gaussian optics (telescope, laser beam, resolution limit, retrorefl.) L14 01.12. Dynamics of pulsed beams described by differential equation 89 L15 04.12. Pulse dynamics without spatial effects 95 S08 W49 Propagation of Gaussian pulses (dispersion compensation, SVEA, ) L16 08.12. Diffraction theory derivation of Fraunhofer approximation 103 L17 11.12. Diffraction theory Examples of Fraunhofer diffraction pattern 109 S09 W50 Preparation for midterm exam L18 15.12. Fourier optics optical filtering 116 18.12. MIDTERM EXAM S10 W01 Fraunhofer diffraction (gratings, near field diffraction) L19 22.12. Polarization of electromagnetic waves 123 L20 08.01. Crystal optics susceptibility, crystal classes, index ellipsoid 128 S11 W02 Fourier optical filtering, anisotropic materials L21 12.01. Normal modes for arbitrary propagation direction in index ellipsoid 129

FoMO17_info_2017-10-10.docx 4 L22 15.01. Normal surfaces of normal modes 133 S12 W03 Optical wave plates, double refraction, principal component analysis L23 19.01. Uniaxial crystals & optical fields in piecewise homogeneous media 138 L24 22.01. Matrix method, Reflection transmission problem 145 S13 W04 Jones formalism, interfaces, total internal reflection L25 26.01. Single interface 162 L26 29.01. Total internal reflection, Brewster angle, Bragg-mirrors 165 S14 W05 Brewster angle, Bragg-mirrors L27 02.02. Periodic multilayer systems 169 L28 05.02. Fabry-Perot-resonators 176 S15 W06 Bragg-mirrors, exam consultation L28 09.02. Guided waves 182 E01 16.02. Exam (10:00-12:00, Lecture Hall 1, Physics, Max Wien Platz 1) E02 23.03. Retake (10:00-12:00, Auditorium, Abbe Center of Photonics)

FoMO17_info_2017-10-10.docx 5 General rules for the exam and midterm The exam is performed without any documents and without calculator, cell phone, etc. You just need empty sheets of paper. Write with your best readable handwriting and don't use pencil. Make your answers unambiguous for the correctors. We will not pick the correct answers from among a lot of contradicting wrong ones. Don't change the questions intentionally, e.g. if the question is asking for the equation for the H field, don't give the equation for the E field. Put your answers for different questions on individual pages. Please exercise before the exam!