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Fundamentals of Nano and Quantum Photonics

NPTEL-NOC IITM via YouTube

Overview

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Explore the fundamental principles of nanophotonics and quantum optics through this comprehensive course covering electromagnetic wave theory, material optical responses, and quantum light phenomena. Begin with Maxwell's equations, wave propagation, and dispersion relations before examining the optical properties of materials using Lorentz and Drude-Lorentz models. Investigate low-dimensional semiconductor systems, absorption and gain mechanisms, and selection rules for optical processes. Study plasmonic phenomena including localized surface plasmon resonances, surface plasmon polaritons, and their dispersion characteristics. Analyze electromagnetic wave behavior in multilayer structures and photonic crystals, exploring bandgap formation and practical applications. Delve into metamaterials operating across different frequency ranges, from GHz to optical frequencies, including negative index materials and metasurfaces. Examine tunable and active metamaterial systems, radiative processes, and miniaturized photonic devices including nanoscale lasers and non-Hermitian systems. Understand light-atom interactions, Rabi oscillations, and cavity quantum electrodynamics in both weak and strong coupling regimes. Learn fabrication techniques for nanophotonic structures and measurement methods for quantum light properties. Master photon statistics, photodetection principles, and correlation functions through experiments like Hanbury Brown-Twiss measurements. Study quantum mechanical descriptions of electromagnetic fields, including vacuum fluctuations, coherent states, squeezed states, and photon number states. Apply quantum optics concepts to practical applications such as quantum key distribution and explore the uncertainty relations governing quantum light fields.

Syllabus

1.1 Review of Maxwell's Equations
1.2 Wave Equation
1.3 Dispersion Relation
1.4 Propagating and Evanescent Waves
1.5 Diffraction Limit and Spatial Frequencies
1.6 Plane Waves
2.1 Optical Response of Materials
2.2 Lorentz Model
2.3 Properties of Lorentz Oscillator Model
2.4 Drude-Lorentz Model for Metals
2.5 Kramers-Kronig Relation
2.6 Engineering Optical Response of Materials
3.1 Low dimensional systems
3.2 Absorption in Semiconductors
3.3 Optical gain in semiconductors
3.4 Absorption in low-dimensional semiconductors
3.5 Selection rules for optical processes
4.1 Scattering of EM radiation
4.2 LSPR: Quasi-static approximation
4.3 Size dependence of Plasmon Resonance
4.4 Tuning Plasmonic Resonances
4.5 Surface Plasmon Polariton(SPP)
4.6 Understanding SPP Dispersion Diagram
4.7 Exciting Surface Plasmon Polaritons
4.8 Analytical Calculation of Scattering Coefficients - IPython code overview
5.1 EM Waves in Multilayer Stack - T Matrix formulation
5.2 Photonic Bandgap in 1D
5.3 EM Waves in 1D Photonic Crystal
5.4 Diffracton Grating
5.5 Applications of Photonic Crystals
5.6 PhC in 1D - T-matrix examples
6.1 Introduction to Metamaterials
6.2 Metamaterials at GHz and THz frequecies
6.3 Negative index materials at optical frequencies
6.4 Plasmonic Metasurfaces
6.5 Dielectric Metasurfaces
7.1 Tunable and Active Metamaterials
7.2 Radiative Absorption and Emission
7.3 Miniaturization of Integrated Photonic Devices
7.4 Recent trends in nanoscale lasers
7.5 Non-Hermitian Systems
8.1 Resonant light-atom interactions
8.2 Experimental observation of Rabi oscillations
8.3 Atom-Cavity Interaction - Weak and strong coupling regimes
8.4 Experimental observation of weak and strong coupling
8.5 Fabrication of nanophotonic structures - 1
8.6 Fabrication of nanophotonic structures - 2
9.1 Measuring light quanta
9.2 Photon Statistics
9.3 Photodetection and shot noise limit
9.4 Second order correlation function
10.1 Hanbury Brown-Twiss Experiment with Photons
10.2 EM Waves as harmonic oscillator
10.3 Vacuum fluctuations
10.4 Coherent and squeezed states
11.1 Squeezed and photon number states
11.2 Application of squeezed states
11.3 Preliminaries for quantum theory of light
11.4 Quantum theory of light
11.5 Operator solution of quantum harmonic oscillator
12.1 Photon number states
12.2 Field quadratures and operators
12.3 Uncertainty relations for quantum light
12.4 Applications of quantum light - Quantum Key Distribution
Fundamentals of Nano and Quantum Photonics - 2024
Fundamentals of Nano and Quantum Photonics
LIVE_Fundamentals of Nano and Quantum Photonics - Prof. Naresh Kumar Emani

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NPTEL-NOC IITM

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