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ECE 545, Monsoon 2020
Photonics:Fundamentals&Applications
Instructor
Sayak Bhattacharya
Office hour: By appointment (online)
E-mail: sayak|at|iiitd.ac.in
Lectures: Mon, Thu 10:30am-12:00pm (online)
Tutorials: By announcement (online at a mutually convenient time)
Teaching Assistants
Rana Kumar Jana
Office hours: By appointment (online)
Announcements
Lectures
| S. No. | Date | Topic | Advised Reading | Lectures |
| 1 | Aug 20 | Course outline & grading policy, Introduction & historical background
Review of Maxwell's eqns | Griff. & ECE230 lecture notes
| Slides
| | 2 | Aug 24 | Review of Maxwell's eqns: time-domain and frequency domain forms | Griff. & ECE230 lecture notes
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| | 3 | Aug 27 | Review of Maxwell's eqns: lossy materials, effective permittivity, complex permittivity Review EM waves: scalar wave equation, Helmoholtz equation, polarization of EM wave, EM waves in 1D and 3D, Equi-frequency contours and surfaces | Griff. & ECE230 lecture notes
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| | 4 | Aug 31 | Plane waves, Maxwell's eqns for plane waves, TEM modes
Guided waves: TE and TM modesGuided waves in a two wire transmission line, Transmitting antenna: transition from guided wave to free space radiation: Demo 1, Demo 2
Working mechanism of a receiving antenna and cross-polarization: Demo
| Griff. & ECE230 lecture notes
| Lecture note
| | 5 | Sep 3 | Electromagnetic boundary conditions
Introduction to dispersive materials: plasma frequency | Griff. & ECE230 lecture notes
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| | 6 | Sep 7 | Permittivity of dispersive materials
| Griff.&
Maier ch. 1
| Lecture note
| | 7 | Sep 10 | SPP at planar interface, SPP dispersion relation
| Maier ch. 2
| Lecture note
| | 8 | Sep 14 | TE mode
SPP dispersion relation (continued), SPR
Prism and Grating coupling of SPP
| Maier ch. 3
| Lecture note
| | 9 | Sep 17 | Quasi-static approximation for metal nanoparticles
Laplace's equation in spherical polar coordinate, Legendre's eqn and polynomials
Normal modes of a sub-wavelength metal particle
| Maier ch. 5
| Lecture note
(contains a part of lecture 10 as well)
| | 10 | Sep 21 | Normal modes of a sub-wavelength metal particle (cont.)
Dipolar resonance: Frohlich condition
LSPR
SPR and LSPR based sensors
Selectivity and resolution of optical sensors
| Maier ch. 5, ch. 10
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| 11 | Sep 24 | Flipped classroom: Discussion on SPR based sensor review paper (Homola, 1999)
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| 12 | Sep 28 | Angular spectrum representation
| Saleh & Teich: Fourier optics
| Lecture note
(Read sec. 2.2 onwards)
| | 13 | Oct 5 | Optical pulse propagation in dispersive media
First order approximation of dispersion relation: Group velocity
Second order approximation of dispersion relation: Pulse broadening
| | Refer to lecture video
| | 14 | Oct 8 | Quiz 1
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| | 15 | Oct 29 | Postulates of ray-optics, Snell's law from Fermat's principle, Beam splitter
Axis of optical systems, Paraxial approximation, Ray-transfer matrix formalism
Examples: free-space propagation, reflection at a planar interface, refraction at a planar interface
Ray-transfer matrix for cascaded optical systems
| Saleh & Teich: Ray-optics (ch. 1)
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| | 16 | Nov 2 | Interference, Young's double slit experiment, Double slit experiment with bullets and single photons, light as probability wave, Double slit experiment with electrons and matter waves
The "which path" information, Quantum superpoition, A layman's approach towards Feynman's path integral
Introduction to finite difference: forward, backward and central differences
| Saleh & Teich (for interference), Feyn. for double slit experiment with single photon, electrons etc.
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| | 17 | Nov 5 | Comparison of forward, backward and central differences
Introduction to FDTD: Free-space propagation of EM wave: Discretization of 1D wave equation, Numerical dispersion, CFL stability criteria for 1D, 2D and 3D
Discretization of Maxwell's equations: staggered grid approach, Space-time marching of EM fields: the leap-frog model
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| Lecture note
| | 18 | Nov 9 | LAB: Introduction to MEEP
Scaling property of Maxwell's equations, PML, Units in MEEP
Example: dielectric slab waveguide
| MEEP
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| | 19 | Nov 12 | LAB: Simulation of dispersive materials in FDTD
Open source code for dielectric function fitting
Example: fitting of silicon dispersion using Lorentz model and modified Lorentz model
| Fitting program
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| | 20 | Nov 16 | Photonic crystals, the semiconductors for light: analogy with solid state crystals
Lattice, primitive vectors, lattice vectors, basis, crystal
Schrodinger's equation as an eigenvalue problem, Maxwell's equation as an eigenvalue problem
Bragg grating: a 1D photonic crystal, physical picture of photonic bandgap formation, Photon localization
Introduction to symmetries: continuous and discrete translational and rotational symmetries
| Saleh & Teich, Joannopoulos first few chapters
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| | 21 | Nov 19 | Operators, eigenstates and eigenvalues, Commutation of operators
Translation operator, commutation with Hamiltonian
Bloch's theorem and proof, PBC
Reciprocal lattice and reciprocal lattice vectors, relation with real space lattice vectors
Plane wave expansion in photonic crystals, Brillouin zone (BZ)
| Joannopoulos first few chapters, Appendix A, B
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| | 22 | Nov 23 | Construction of BZ: Analytical method, Weigner-Seitz contruction
Irreducible BZ, High-symmetry points
Band surface and band diagram
LAB: Basic commands in MPB, simulation of TE and TM modes of a triangular lattice photonic crystal, percentage of photonic bandgap
| Joannopoulos: Appendix A and B, MPB tutorial
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| | 23 | Nov 26 | Point defect and line defect in photonic crystal
Design of photonic crystal resonator and on-chip waveguide
LAB: Design of optical resonator in MPB
| MPB tutorial
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References
David J. Griffiths, Introduction to Electrodynamics, Pearson 4th Ed. (2015).
R. Feynman, R. Leighton, M. Sands, The Feynman Lectures on Physics
B. Saleh and M. Teich, "Fundamentals of Photonics", Wiley, 3 ed. (2019)
S. Maier, "Plasmonics: Fundamentals and Applications", Springer (2007)
John D. Joannopoulos et al., "Photonic crystals: Molding the flow of light" , Princeton Univ. Press, 2 ed. (2008) [Read the free preprint]
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