Applied Physics
M.S. and Ph.D. Program in Applied Physics
Admission
A bachelor's or master's degree in engineering, mathematics, or one of the physical sciences is required for admission.
M.S. Program in Applied Physics
The program of study leading to the degree of master of science, while emphasizing continued work in basic physics, permits many options in several applied physics specialties. The program may be considered simply as additional education in areas beyond the bachelor's level, or as preparatory to doctoral studies in the applied physics fields of plasma physics, laser physics, solid-state physics, and applied mathematics. Specific course requirements for the master's degree are determined in consultation with the program adviser.
Ph.D. and Eng.Sc.D. Programs
After completing the M.S. program in applied physics, doctoral students specialize in one applied physics field. Some programs have specific course requirements for the doctorate; elective courses are determined in consultation with the program advisor. Successful completion of an approved 30-point program of study is required in addition to successful completion of a written qualifying examination taken after two semesters of graduate study. An oral examination, taken within one year of the written qualifying examination, and a thesis proposal examination, taken within two years after the written qualifying examination, are required of all doctoral candidates. Ph.D. candidates must also submit an approved dissertation, and complete the University residence requirements.
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Plasma Physics
This academic program is designed to emphasize preparation for professional careers in plasma research, controlled fusion, and space research. This includes basic training in relevant areas of applied physics, with emphasis on plasma physics and related areas leading to extensive experimental and theoretical research in the Columbia University Plasma Physics Laboratory. Specific course requirements for the plasma physics doctoral program are APPH E4018, APPH E4200, APPH E4300, APPH E6101, APPH E6102, and APPH E9142 or APPH E9143, or equivalents taken at another university.
Core Courses
- APPH E4018: Applied physics laboratory
- APPH E4100: Quantum physics of matter
- APPH E4112: Laser physics
- APPH E4200: Physics of fluids
- APPH E4300: Applied electrodynamics
- APPH E4301: Introduction to plasma physics
- APPH E6101: Plasma physics I
- APPH E6102: Plasma physics II
- APPH E9142-E9143: Applied physics seminar
- APAM E6650: Research project
- APMA E4200: Partial differential equations
- CHEM G4230: Statistical thermodynamics
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ELEN E6403 or PHYS G6092-G6093: Electromagnetic theory
- PHYS G4003: Advanced mechanics
Related Courses of Specialization
- APPH E4110: Modern optics
- APPH E6110: Laser interactions with matter
- APPH E4010: Introduction to nuclear science
- APMA E4204: Functions of a complex variable
- APMA E6209: Approximation theory
- APMA E6301: Analytic methods for PDE's
- APMA E6302: Numerical methods for PDE's
- APMA E6304: Integral analysis of transforms
- APMA E6901: Special topics in applied math
- APMA E8308: Asymptotic methods in applied math
- ASTR G4004: Stellar structure and evolution
- ASTR G4002: Astrophysics II
- ELEN E4405: Classical nonlinear optics
- ELEN E4420: Topics in electromagnetics
- ELEN E4501: Electromagnetic devices and energy conversion
- PHYS G4019: Mathematical methods in physics
- PHYS G6036: Statistical mechanics
- PHYS G6037-G6038: Quantum mechanics
Plasma Physics Faculty
Michael E. Mauel (Coordinator)
Allen H. Boozer
Gerald A. Navratil
Thomas S. Pedersen
Amiya K. Sen - EE and APAM
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Optical & Laser Physics
This academic program involves a basic training in relevant areas of applied physics with emphasis in quantum mechanics, quantum electronics, and related areas of specialization. Some active areas of research in which the student may concentrate are laser modification of surfaces, the free-electron laser, optical diagnostics of film processing, inelastic light scattering in nano-materials, nonlinear optics, ultrafast optoelectronics photonic switching, optical physics of surfaces, and photon integrated circuits. Specific course requirements for the optical and laser physics doctoral program are set with the academic adviser. back to top
Solid-State Physics
This academic program encompasses the study of the electrical, optical,
magnetic, thermal, high-pressure, and ultrafast dynamical properties of
solids, with an aim to understanding them in terms of the atomic and
electronic structure. The program emphasizes the formation, processing,
and properties of thin films, low-dimensional structures—such as one-
and two-dimensional electron gases, nanocrystals, and surfaces of
electronic and optoelectronic interest. Facilities include a
microelectronics laboratory, high-pressure diamond anvil cells, a
molecular beam epitaxy machine, ultrahigh vacuum systems, lasers,
equip- ment for the study of optical properties, and the instruments in
the shared facilities of the Materials Research Science and Engineering
Center (MRSEC) and the Nano-scale Science and Engineering Center (NSEC). There are
also significant resources for electrical and optical experimentation
at low temperatures and high magnetic fields. Specific course
requirements for the solid-state physics doctoral program are set with
the academic adviser, in consultation with the Committee on Materials
Science and Engineering/ Solid-State Science and Engineering.
Core Courses for Solid-State Physics and Optical & Laser Physics
- APPH E4018: Applied physics laboratory
- APPH E4100: Quantum physics of matter
- APPH E4110: Modern optics
- APPH E4112: Laser physics
- APPH E6081-6082: Solid state physics, I, II
- APPH E6110: Laser interactions with matter
- APAM E6650: Research project
- CHAP E4120: Statistical mechanic or
- CHEM G4230: Statistical thermodynamics
- ELEN E4301: Introduction to semiconductor devices
- ELEN E4405: Classical nonlinear optics
- ELEN E4411: Fundamentals of photonics
- ELEN E6331-6332: Principles of semiconductor physics, I, II
- ELEN E6403 or PHYS G6092-6093: Electromagnetic theory
- ELEN E6412: Lightwave devices
- ELEN E9402: Seminar in quantum electronics
- ELEN E9403: Seminar in photonics
- MSAE E6220: Crystal physics
- MSAE E6241: Theory of solids
- PHYS G4018: Physics of the solid state
- PHYS G4019: Mathematical methods in physics
- PHYS G6036: Statistical mechanics
- PHYS G6037-6038: Quantum mechanics
Related Courses of Specialization
- APMA E4204: Functions of a complex variable
- APMA E6301: Analytic methods for PDE's
- APMA E6302: Numerical analysis of PDE's
- CHEM G4230: Statistical thermodynamics
- CHEM G4231: Chemical kinetics
- CHEM G6222: Quantum chemistry, II
- CHEM G8223: Quantum chemistry, III
- ELEN E4401: Wave transmission and fiber optics
- ELEN E4944: Principles of device microfabrication
- ELEN E6140: Gallium arsenide materials processing
- ELEN E6151: Surface physics and analysis of electronic materials
- ELEN E6331-6332: Principles of semiconductor physics
- ELEN E6413: Lightwave systems
- ELEN E6414: Photonic integrated circuits
- ELEN E9101: Seminar in physical electronics
- ELEN E9402: Seminar in quantum electronics
- ELEN E9404: Seminar in lightwave communications
- MSAE E6090: Nanotechnology
- MSAE E6221: Introduction to dislocation theory
- MSAE E6225: Techniques in x-ray and neutron diffraction
- MSAE E6229: Energy and particle beam processing of materials
- MSAE E6230: Kinetics of phase transformations
- MSAE E6240: Impurities and defects in semiconductor materials
- MSAE E6251: Thin films and layers
- MSAE E8235: Selected topics in materials science
- MSAE E8236: Anelastic relaxations in crystals
- PHYS G8048: Advanced quantum mechanics, II
- PHYS G8050: Advanced mathematical methods in physics
- PHYS G8066: Theoretical solid state physics, I
Solid-State Physics and Optical & Laser Physics Faculty
Aron Pinczuk, Physics and APAM (Coordinator)
Siu-Wai Chan
Irving P. Herman
Gertrude Neumark
I.C. Noyan
Richard M. Osgood, EE and APAM
Horst Stormer, Physics and APAM
Latha Venkataraman
Wen I. Wang, EE and APAM
Solid-State Physics and Optical & Laser Physics Faculty
in Other Departments
Louis Brus, Chemistry
Kenneth Eisenthal, Chemistry
George Flynn, Chemistry
Richard Friesner, Chemistry
Tony Heinz, Physics and EE
Philip Kim, Physics
Yasutomo Uemura, Physics
James Valentini, Chemistry
Chee Wei Wong, Mechanical Engineering