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Title : 18.369 Mathematical Methods in Nanophotonics (MIT)

Title : 18.369 Mathematical Methods in Nanophotonics (MIT)

Description : Find out what solid-state physics has brought to Electromagnetism in the last 20 years. This course surveys the physics and mathematics of nanophotonics—electromagnetic waves in media structured on the scale of the wavelength. Topics include computational methods combined with high-level algebraic techniques borrowed from solid-state quantum mechanics: linear algebra and eigensystems, group theory, Bloch's theorem and conservation laws, perturbation methods, and coupled-mode theories, to understand surprising optical phenomena from band gaps to slow light to nonlinear filters. Note: An earlier version of this course was published on OCW as 18.325 Topics in Applied Mathematics: Mathematical Methods in Nanophotonics, Fall 2005.

Description : Find out what solid-state physics has brought to Electromagnetism in the last 20 years. This course surveys the physics and mathematics of nanophotonics—electromagnetic waves in media structured on the scale of the wavelength. Topics include computational methods combined with high-level algebraic techniques borrowed from solid-state quantum mechanics: linear algebra and eigensystems, group theory, Bloch's theorem and conservation laws, perturbation methods, and coupled-mode theories, to understand surprising optical phenomena from band gaps to slow light to nonlinear filters. Note: An earlier version of this course was published on OCW as 18.325 Topics in Applied Mathematics: Mathematical Methods in Nanophotonics, Fall 2005.

Fromsemester : Spring

Fromsemester : Spring

Fromyear : 2008

Fromyear : 2008

Creator :

Creator :

Date : 2008-12-22T15:10:33+05:00

Date : 2008-12-22T15:10:33+05:00

Relation : 18.369

Relation : 18.369

Language : en-US

Language : en-US

Subject : linear algebra

Subject : linear algebra

Subject : eigensystems for Maxwell's equations

Subject : eigensystems for Maxwell's equations

Subject : symmetry groups

Subject : symmetry groups

Subject : representation theory

Subject : representation theory

Subject : Bloch's theorem

Subject : Bloch's theorem

Subject : numerical eigensolver methods

Subject : numerical eigensolver methods

Subject : time and frequency-domain computation

Subject : time and frequency-domain computation

Subject : perturbation theory

Subject : perturbation theory

Subject : coupled-mode theories

Subject : coupled-mode theories

Subject : waveguide theory

Subject : waveguide theory

Subject : adiabatic transitions

Subject : adiabatic transitions

Subject : Optical phenomena

Subject : Optical phenomena

Subject : photonic crystals

Subject : photonic crystals

Subject : band gaps

Subject : band gaps

Subject : anomalous diffraction

Subject : anomalous diffraction

Subject : mechanisms for optical confinement

Subject : mechanisms for optical confinement

Subject : optical fibers

Subject : optical fibers

Subject : integrated optical devices

Subject : integrated optical devices