PH570

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Physics Course Wikis

Course Information

Professor: Chip Durfee

Office: Meyer Hall 330

Meeting Times: Tuesday, Thursday 11:00-12:15.

Room: Berthoud 204

Announcements

2014-03-22: Homework 7 posted. Due wednesday afternoon just before e-days break.

2014-03-04: Homework 6 posted. Due thursday after break.

2014-02-25: Class notes, slides and mathematica demos are all posted.

2014-02-25: A comment on HW5: The Sellmeier equations for two different glasses (fused silica and BK7) are provided for you in the first cell of the notebook. As the .nb file is formatted, that cell needs to be expanded for you to see the details. Also, those refractive index functions are functions of the vacuum wavelength, not the wavelength inside the material.

2014-02-21:

Homework 5 is posted, due Friday, 28 Feb.

2014-02-10:

Class notes are up to date.

2014-02-09:

HW4 is posted. It took me a while to write this one, we can have it due at the end of the week, Friday afternoon.

2014-02-04:

Hints for HW3: (these hints are in the current posting of the problem)

Problem 1a: for this problem, make use of the relation we derived with the autocorrelation theorem, i.e., that the FT of oscillating part of the field autocorrelation yields the power spectrum. To use this in reverse, you'll want to take the real part of the inverseFT of the spectrum.

Problem 3b: assume the central wavelength of the spectrum is at 800nm

2014-01-31:

I sent a link to a Google Drive folder that has some references on optical coherence tomography (OCT). Please look through the slides by Samson to prepare for HW3. HW3 is posted below.

2014-01-28:

Lecture notes and demonstrations are all up to date.

2014-01-22:

Homework 2 is posted - due in class Thursday 30 Jan.

2014-01-16: Updated lecture notes.

Homework 1 is posted - due in class Tuesday 21 Jan.

If you are new to Mathematica, try looking for tutorials on the Wolfram site. I can also help during office hours.

16 Jan: Welcome to the new Wiki page for Fourier Optics! The syllabus is posted below.

Office hours

Office hours:

Tuesday 2-4, Physics Library, Wed 1-3, Thursday 1-2. On Wednesdays, I sometimes have a phone meeting that will require shifting the office hours for that day.

Course Material

Syllabus and Reading List

These downloads require Adobe Acrobat Reader Syllabus for the course

Fourier Transform ID sheets and other reference material

Note that the conventions (sign, 2 pi, ...) are different for the t-omega and x-fx domains.

These downloads require Adobe Acrobat Reader Fourier transform ID sheet, t-omega domains

Homework Assignments

These downloads require Adobe Acrobat Reader Homework 1, due in class 21 Jan Homework 2, due in class Thursday 30 Jan Homework 3, Mathematica format. Due in class Thursday 4 Feb. Look at slideshow by D. Samson on the GoogleDrive folder. Homework 4, Mathematica format. Due Friday 14 Feb by 5pm. Homework 5, Mathematica format. Due Friday 28 Feb by 5pm. Homework 6, Mathematica format. Due Thursday 20 March by 5pm. Homework 7, Mathematica format. Due Wednesday 2 April by 5pm.

Lecture Notes

These downloads require Adobe Acrobat Reader Class 1: intro to Fourier optics, transform pairs Class 2: FT IDs and symmetry relations Class 3: examples, Parseval and convolution theorem. See ListConvolve.nb below Class 4: convolution examples, linear systems introduction Class 5: impulse response and transfer functions, spectral interferometry Class 6: MMA demonstration of quasi-monochromatic waves ( .nb file, use "save link as..."). Run file to see all the graphics. Class 7: review of EM waves, calculation of intensity, Michelson interferometer, autocorrelation thm and Fourier transform spectroscopy Class 8: slides for Fabry-Perot resonator as a linear system Class 8: array theorem and sampling theory notes. See also fft demo code below in mathematica demo section Class 9: review of classical oscillator model of dispersion theory Class 10: dispersive pulse propagation, gaussian pulse stretching Class 11: pulse compression Class 12: Gerchberg-Saxton algorithm for phase optimization and pulse shaping. Download .nb file and evaluate entire notebook to see output. Class 13: self-phase modulation, continuum generation Class 14: derivation of the Nonlinear Schrodinger eqn Class 16: derivation of diffraction integral diffraction, angular spectrum, fresnel to fraunhofer approx, fraunhofer examples, diffraction gratings.

For class 3: Online demonstration of convolution of various functions. See other tabs on this webpage for notes about convolutions.

Mathematica Demos

You can use these as a template for programming you want to do. I would like you to attribute me when you do though.

These aren't actually pdf's. Do a "save link as" to save these to your computer, then open with Mathematica. In most cases the output has been deleted to save server space, so you have to run the code to see the output.

Please note that thee is a bug in the Fourier[ ] routine (FFT) in v7.0.0. This does not show in earlier versions, and was fixed in 7.0.1 and later. (9.0.1 is the current version)

These downloads require Adobe Acrobat Reader List convolve demo.nb: demonstrate both analytical and numerical convolutions Fft_demo_and_convolve.nb: demonstrate numerical Fourier transforms (FFT) and convolutions. Updated 2014-02-04.

some older files (written in v5.2. These will be updated soon and posted above.)

These downloads require Adobe Acrobat Reader NL prop code

Links to literature in Fourier optics

Each one of you should add references you think would be of general interest to this list - a minimum of one every other week.

Click 'edit' at the right to add references. Include a short description, make a new category if it makes sense. Links only - don't upload actual pdf's please. Put your last name and posting date along with the citation.

Feel free to add to the list of database and journal sites. The list below is old - let me know if any of the links are dead.

Journal Database pages

Use these to go to papers where you know the reference, or for searching for related papers

Scitation: American Institute of Physics journals search

Optics Infobase: Optical Society of America journal search

CSM link to physics-related databases. In particular, try Web of Science (online Science Citation Index). This is the best resource for finding papers that are related to each other. I think our access goes back 10 years from present.

Google Scholar

Journal pages

You can go to these to browse current issues or to look up specific references.These journal are (mostly) European journals not indexed through Scitation or Optics Infobase. Go to OpticsInfoBase for Optics Letters, Josa A and B, Optics Express, Applied Optics, etc.

Applied Physics B

Journal of Physics B

Optics Communications

Journal Articles

Spectral interferometry

sample link - more to come...

• Midwinter et al, British J. Applied Phys v16 p1135 (1965) "The effects of phase matching method and of uniaxial crystal symmetry on the polar distribution of second-order non-linear optical polarization" Derivation of the variation of dEff in nonlinear crystals with beam direction. (Durfee 1/12/2007) Midwinter (1965)

Other course Links

Signals and Systems | MIT OpenCourseWare

JavaOptics: a nice collection of optics-related demonstrations

Fabry-Perot demonstration

Falstad.com: some nice optics demos