Graduate Degree in Applied Physics

Aims and Scope of the Graduate Program

Graduate Option Rep

Oskar Painter
opainterSymbolatcaltech.edu

Options Manager

Jennifer Blankenship
jenniferSymbolatcaltech.edu

Applied Physics is a broad field of study that lies at the intersection of physics and many other fields of science and engineering. The Applied Physics option at Caltech is accordingly a highly multi-disciplinary program that is designed to train students in a broad spectrum of physics and engineering fields at an advanced level. The goal of the doctoral program is to cultivate abilities in our graduates to apply this knowledge throughout their lives so as to make technological and scientific breakthroughs at the edge of current knowledge. Areas of research emphasis include: optics and photonics, semiconductor devices, fluid dynamics, plasma physics, biophysics, and quantum physics. By graduation, students are expected to have a working knowledge of applied physics in general and an in depth knowledge of their chosen area, have independently planned and conducted research experiments in their chosen area, and successfully defended their thesis work in an open forum.

Preparation for the Graduate Program

Students admitted for graduate study can enter from a broad range of disciplines, but are expected to have a rigorous background in undergraduate mathematics, physics, and engineering. An outstanding four-year undergraduate program in mathematics and sciences may provide a suitable background as well. The qualifications of each applicant will be considered individually. After enrollment, the student will arrange a course of study and research in consultation with members of the faculty and the Applied Physics option representative.

Description of the Degree of Doctor of Philosophy (Ph.D.)

To receive the doctoral degree in Applied Physics students must demonstrate the ability to formulate and execute an original program of scientific study.  As part of this, a doctoral candidate is expected to develop a deep understanding in a chosen field of specialization; to develop tools with which to assess problems outside one’s field of specialization; to develop rigor and strength in the physical sciences for self-education beyond formal training; and to develop skills to become a productive member of the community of scholars. All students wishing to enter the program must complete a series of preparatory courses, followed by an oral candidacy exam in which the student describes their proposed topic of research and is examined on their knowledge of course subject matter.  Upon passing the candidacy examination, students work towards completion of a thesis in consultation with their research advisor. The doctoral degree is awarded upon approval of a written thesis by a faculty committee, and successful defense of the thesis in a final oral examination. There is no separate Master’s Program in Applied Physics. However, with the approval of the student’s advisor and the Applied Physics option representative the degree of Master of Science in Applied Physics may be awarded after the fulfillment of the course requirements described below.

Advising and Thesis Supervision

An interim adviser is appointed for each student upon admission to the graduate program in Applied Physics. Typically, this person is the Applied Physics option representative. In consultation with the interim adviser the student will determine a course schedule and identify a faculty research advisor. This most often occurs within the first year of graduate residence. The faculty advisor is the student’s primary mentor and the student will work in the advisor’s research group to formulate and execute a plan of study leading to the thesis. In consultation with their research adviser, the student will also form a Ph.D. thesis advisory committee. This four-member committee should include the student’s advisor and at least three members of the Caltech professorial faculty from either the Applied Physics or Physics options. The thesis advisory committee will conduct the qualifying examination and also approve the thesis and conduct the thesis defense. The membership of this committee may change between the time of the qualifying exam and the final defense.

Requirements for Candidacy to the Ph.D. Degree

To be recommended for candidacy for the Ph.D. degree in Applied Physics, a student must demonstrate mastery in the following five areas of pure and applied physics:

  • Classical Physics: Mechanics and Electromagnetism
  • Quantum Mechanics
  • Mathematical Methods
  • Statistical Physics and Thermodynamics
  • Biophysics, Optical Physics, Hydrodynamics, Plasma Physics, or Solid State Physics

A. Graduate Coursework towards Candidacy

In partial fulfillment of the “mastery” requirement a student must successfully complete a minimum of 135 units of courses numbered 101 or above from the course schedule. In addition, 4 units of APh 110ab must also be completed.  All courses must be passed with a grade of at least a C, except for courses offered only on a pass/fail basis. Moreover, no more than 27 units of APh 200 units may be counted towards the 135 unit requirement of candidacy. Students must also complete the degree progress report online upon completion of their courses.

1. Classical Mechanics and Electromagnetism Total Units

Ph 106a (9 units)
Ph 106b (9 units)
Ph 106c (9 units)

Topics in Classical Physics 27
2. Quantum Mechanics  

Ph 125a/Ch 125a (9 units)
Ph 125b/Ch 125b (9 units)
Ph 125c/Ch 125c (9 units)

Ph – Quantum Mechanics
Ch – Elements of Quantum Chemistry

27
3. Mathematical Methods    

ACM 101a/Ph 129a (12/9 units)
ACM 101b/Ph 129b (12/9 units)
Ph 129c (9 units)

ACM – Methods of Applied Math
Ph – Mathematical Methods of Physics

27 – 33
4. Statistical Physics and Thermodynamics  

APh 105a/Ph 127a (9 units)
APh 105b/Ph 127b (9 units)
APh 105c/Ph 127c (9 units)

APh – States of Matter
Ph – Statistical Physics

27

5. One of the following course sequences in Biophysics, Optical Physics, Hydrodynamics, Plasma Physics, or Solid State Physics:

(It is recommended that students complete one full sequence from the courses listed below (i.e. every term of a single course.  Exceptions may be made after consultation with the option representative.)

Ae/APh/CE/ME 101a (9 units)
Ae/APh/CE/ME 101b (9 units)
Ae/APh/CE/ME 101c (9 units)

Fluid Mechanics 27

APh 114a (9 units)
APh 114b (9 units)
APh 114c (9 units)

Solid-State Physics 27

APh/Ph 115 (12 units)
APh/Ph 116 (12 units)

Physics of Momentum Transport in Hydrodynamic Systems 24

APh 156a (9 units)
APh 156b (9 units)
APh 156c (9 units)

Plasma Physics 27

APh/BE 161 (12 units)
APh/BE 162 (12 units)

Physical Biology of the Cell
Physical Biology Lab

24

APh 130 (9 units)
APh 131 (9 units)
APh 132 (9 units)

Electromagnetic Theory
Light Interaction with Atomic Systems – Lasers
Special Topics in Photonics and Optoelectronics

27

APh 183a (9 units)
APh 183b (9 units)
APh 183c (9 units)

Physics of Semiconductors and Semiconductor Devices 27

APh 190a (9 units)
APh 190b (9 units)
APh 190c (9 units)

Quantum Electronics 27

First year students are also required to take APh 110ab, a two term seminar course in which faculty review their research areas and ongoing research work in their group.

Faculty Presentation Seminar for 1st Year Graduate Students Total Units

APh 110a (2 units)
APh 110b (2 units)

Topics in Applied Physics - Weekly Faculty Seminars 4

In addition to work in the classroom, students must complete a minimum of 27 units of laboratory or reading research through APh 200.

Research. Units in accordance with work accomplished. Graded pass/fail. Total Units Required

APh 200

Applied Physics Research 27

Students entering the program with advanced preparation may choose either to substitute more advanced courses in the topical areas shown or to demonstrate competency by successfully passing both the midterm and final examinations.  In such cases, students may petition the Applied Physics option representative to accept alternate subjects or areas. These changes should retain core applied physics knowledge, and maintain sufficient breadth. All such petitions must be submitted to the option representative and approved before the student registers for the course.

Coursework towards the Ph.D. degree in Applied Physics is normally completed within the first two years of graduate residency.

B. Candidacy Examination

To fulfill the requirements for candidacy all students must pass an oral examination after completing their coursework. This examination must be taken before the beginning of the student’s third year in residence. Students will be expected to deliver a half-hour oral presentation giving a prospectus on their proposed thesis research.  Following questions on the research prospectus, a more open-ended set of questions will be posed to the student by the committee members to test general proficiency in the five areas of pure and applied physics listed above. Students who fail the oral examination on their first attempt will be given additional guidelines for further study and an opportunity to retake the examination a second and final time if the committee so recommends. Should a student fail the oral examination a second time, he/she cannot continue with doctoral studies leading to the Ph.D.  Upon recommendation of the examining committee, however, the student may be granted a Master’s degree. Annual approval of the Applied Physics option representative is necessary for registration beyond the third year of graduate residence if the student has not completed the candidacy examination.

Students who fulfill the requirements above will be recommended for candidacy to the doctoral program and a master’s degree (if applicable) in applied physics.

Ph.D. Thesis Requirements

The candidate is to provide a draft copy of his or her completed thesis to the members of the examining committee (typically the same as the thesis committee) at least two weeks before the final oral examination. The date of the examination and the composition of the examining committee will not be approved by the dean of graduate studies until the thesis is submitted in completed form, i.e., ready for review by the dean, the members of the thesis committee, and the Graduate Office proofreader. Registration is required for the term in which the thesis defense is taken, but is not normally allowed beyond the last date of the term. For more information, please see the section entitled “Information for Graduate Students” in the Caltech catalog.

Ph.D. Final Examination

The candidate shall undergo a final broad oral examination (thesis defense) in the field, to include the subspecialty represented by the thesis and the significance of its findings to the field. This oral examination will be administered at least two weeks after the doctoral thesis has been presented in final form so that the examining committee has sufficient time to review its content. This examination must be taken at least three weeks prior to the date on which the degree will be officially conferred.

Registration beyond the Sixth Year of Graduate Residence

The annual approval of the student’s thesis advisory committee is necessary for registration beyond the twentieth academic term of graduate residence at Caltech.

Subject Minor

Graduate students majoring in other fields may elect a minor in Applied Physics. In addition to general Institute requirements, the student must complete, with a grade of C or higher, 81 units of courses in applied physics above the 100 level, excluding APh 200. The minor is also subject to the following conditions:

  • Students cannot use courses required by their major option in fulfillment of this requirement.
  • Students interested in a minor must receive prior approval from the option representative in Applied Physics, who will review and approve the proposed course of study.
  • It is recommended that this course of study include advanced courses spanning different subfields of Applied Physics.
Department of Applied Physics and Materials Science