EE 391D Advanced Concepts in Photonics, Spring




Prof. Andrea Fratalocchi


Course Syllabus

can be downloaded from here.


Course Description

The course introduces the student to different types of photonics systems. The course focuses on real-world devices and modern theories, which can be used in research to study advanced light-matter interactions and in industrial environments to model, design, and optimize different types of light-wave architectures.


Contact Details

Building 1, Room 3222. I give 100% time availability to my students. If for some reason I am out of my office, please send me an email and we will arrange a meeting.


Grading Criteria

The exam is graded from two written exams (midterm and final) and an oral discussion, with modality described as follows. Each written exam is composed by three oral questions and three exercises.

A student that gets A in both written exams does not need to perform an oral and the final grade is A.

A student that gets A- at the written exams has an optional oral discussion, which if taken will form 25% of the final grade. If the oral option is not taken, the final grade is A-.

Students with average grade below A- at the written have a compulsory oral discussion, which will form 50% of the final grade.

Students that get a failing grade both at the midterm and final will not be admitted at the oral and get a failing grade calculated from the average grade of the written exams.


Reference Books

A. Yariv,·Photonics: Optical Electronics in Modern Communications (Oxford University Press, USA, 2006).

A. Yariv,·Photonics: Quantum Electronics (Wiley, 1989).
J. D. Jackson, Classical Electrodynamics·(Wiley, 1998).

S. A. Maier, Plasmonics, (Springer, 2007).
R. Loudon, The Quantum Theory of Light (Oxford University Press, New York, 2001).
H. Haus, Wave and Fields in Optoelectronics (Prentice Hall, 1989).
J. T. Verdeyen, Laser Electronics (Prentice Hall, 1995).
H. Nishiara, Optical Integrated Circuits (McGraw Hill, 1989)


Attendance Policy

Strictly required. Students that miss more that 10% of the course with no valid justification will not be admitted at the exam.


Class Notes

Lesson Topics Notes and References
anisotropic crystals Light propagation in anisotropic crystals. Dielectric and susceptibility tensors. Symmetric nature of the Dielectric tensor. Reduction to diagonal form. lesson 1
anisotropic crystals Plane wave solutions in anisotropic materials. Ellipsoid equation and fields distribution. Birefringence. Classification of solutions into ordinary and extraordinary waves. lesson 2
anisotropic crystals Plane wave solutions in uniaxial crystal. Ordinary “o” and extraordinary “e” waves. Index ellipsoid. lesson 3
anisotropic crystals Analysis of a generic waveplate retarder system. Ordinary and extraordinary waves. Jones matrices. Half-wave retarder: theory and application. Quarter-wave retarder. lesson 4
anisotropic crystals Refraction of plane waves at interfaces with anisotropic media. Applications to polarizing beam splitters. Elements of nonlinear optics and nonlinear light-matter interactions. Introduction to second order nonlinear interactions. The Electro-Optic (EO) effect. lesson 5
anisotropic crystals General formulation of EO effect with the electro-optic tensor. Example of application with KDP crystal. Introduction to the electro-optic amplitude modulation of light. Reduction to diagonal form of the index ellipsoid in the presence of an electric field. lesson 6
anisotropic crystals & plasmonics Frequency modulation of light with anisotropic crystals. Transverse electro-optic modulators. Introduction to plasmonics. Maxwell equations in lossy materials. Plasma model. Volume plasmons. lesson 7
waveguide theory Waveguide theory. Decomposition into transverse and longitudinal components. Definition of Modes. Modes orthogonality relations. lesson 8
waveguide theory Physical meaning of modes orthogonality and completeness of the modal set. Field decomposition into guided modes and radiation modes. Planar structures. TE and TM modes. lesson 9
waveguide theory Full wave analysis of the multilayer structure. Transfer matrix approach. General dispersion relation for TE modes. 2D waveguides. Discussion on full vectorial, semi-vectorial and scalar modal solvers for general dielectric waveguides. lesson 10

@multi matlab code

@waveguide matlab code

exercise 2D

exercise 1D

paper notes on multilayer theory

waveguide theory Coupled mode theory in space. Exact formalism based on the reciprocity theorem of Maxwell’s equations. lesson12

paper notes on CMT theory
Nishiara: Chapter 3

waveguide theory The directional coupler. Coupled mode equations and their solutions. Discussion on the concept of resonance and its ubiquity in physics. lesson13
Yariv: Chapter 13
waveguide theory Side coupling with a waveguide. Prism and grating assisted coupling. Coupled mode equations. Discussion and applications. lesson14
waveguide theory – optical resonators Coupled mode theory of periodic one dimensional systems. Bragg interactions with waveguide modes. Reflection and transmission of a bragg filter. Applications. Photonic bandgap. Physical origin of bandgaps. Time Dependent Coupled Mode Theory. (TDCMT) Quality factors. lesson15
Yariv: Chapter 13
optical resonators Energy and power flows in TDCMT. Equivalent circuit and mechanical representations. Model of a resonator coupled to the waveguide. Relationship between coupling factor and losses. lesson16
Haus: Chapter 7
optical resonators TDCMT analysis of a resonator coupled to a waveguide. Calculation of Reflection. Analysis of a resonator coupled to input and output waveguides. Transmission. Discussion on frequency selective filtering applications and waveguide interconnects. lesson17
Haus: Chapter 7
quantum optics Introduction to Quantum Optics. The black-body problem. Plank’s law. Stefan-Boltzmann law. lesson18
Loudon: Chapter 1
quantum optics Photons fluctuations. Einstein theory of radiative processes. Einstein A and B coefficients. lesson19
Loudon: Chapter 1