Nonlinear Optics
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==Announcements== | ==Announcements== | ||
− | + | '''7 March:''' Homework 4 comments: | |
+ | |||
+ | Problem 1: Assume chi(3) is the same in the glass and in the water. You can set your coordinate system such that z = 0 is at the beam waist, and the interface is at some other z position, zI. Then you'll be looking at two integrals, from -infinity to zI through water, then from zI to plus infinity. Note that the spot size is connected to the f/number: w = (2/<math>\pi</math>) <math>\lambda</math> f/number. | ||
+ | |||
+ | Problem 2: <math>\delta</math> is a measure of the ellipticity of the state. It is a function of Aplus and Aminus, so you should be able to express Aplus and Aminus in terms of <math>\delta</math>. From there, you can then calculate the <math>\Delta</math>n. | ||
+ | |||
+ | '''2 March:''' Homework 4 will be due next '''wednesday''' instead of monday, since some of you have an EM project due on Monday. | ||
+ | |||
+ | '''1 March:''' Homework 4 is posted, due next monday at the end of the day. Solutions to HW3 are available - come by my office to pick them up. | ||
+ | |||
+ | '''14 Feb:''' Homework 3 is due a week from Tuesday instead of Monday since there is no class that monday. Lecture notes are all scanned and posted. | ||
+ | |||
+ | '''12 Feb:''' Homework 3 is posted, due a week from Monday. | ||
+ | |||
+ | '''2 Feb:''' Caught up with notes scanning. Homework 2 is posted, due next wednesday. | ||
If you are new to Mathematica, try doing the Wolfram screencast introduction, which you can find at | If you are new to Mathematica, try doing the Wolfram screencast introduction, which you can find at | ||
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I haven't tried this myself, but it's probably worth the time to help you get started. After going through that, feel free to come by during office hours to ask questions about working with Mathematica. | I haven't tried this myself, but it's probably worth the time to help you get started. After going through that, feel free to come by during office hours to ask questions about working with Mathematica. | ||
− | ''' | + | '''12 Jan:''' Welcome to the new Wiki page for Nonlinear Optics! The syllabus is posted below. You'll see an old sections for Lecture Notes with some scans of notes from previous years. Note that the '07 version is in Gaussian units. I've scanned and posted the notes for our first lecture. The first homework will be posted soon. |
==Office hours== | ==Office hours== | ||
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{{PDF Table Item|filename= LiIO3_Datasheet.pdf|title=LiIO3 datasheet. This has the dispersion information in it. }} | {{PDF Table Item|filename= LiIO3_Datasheet.pdf|title=LiIO3 datasheet. This has the dispersion information in it. }} | ||
− | {{PDF Table Item|filename= NLO585_hw1_assign.pdf|title=Homework 1, due wednesday 21 Jan. End of day (5pm) in my mailbox is OK. }} | + | {{PDF Table Item|filename= NLO585_hw1_assign.pdf|title=Homework 1, due wednesday 21 Jan 2011. End of day (5pm) in my mailbox is OK. }} |
+ | |||
+ | {{PDF Table Item|filename= NLO585_Hw2_assign.pdf|title=Homework 2, due wednesday 9 Feb 2011. }} | ||
+ | |||
+ | {{PDF Table Item|filename= PHGN585_Hw3_assign.pdf|title=Homework 3, due wednesday 21 Feb 2011. }} | ||
+ | |||
+ | {{PDF Table Item|filename= PHGN585_Hw4_assign.pdf|title=Homework 4, due Monday 7 March 2011. }} | ||
+ | |||
+ | {{End PDF Table}} | ||
+ | |||
+ | ==Lecture Notes 2011== | ||
+ | {{Start PDF Table}} | ||
+ | {{PDF Table Item|filename= NLO585_L1_intro-nonlinear_polarization.pdf|title=Lecture 1: intro, define NL polarization}} | ||
+ | {{PDF Table Item|filename= NLO585_L2_classical_oscillator_model.pdf|title=Lecture 2: classical oscillator model}} | ||
+ | {{PDF Table Item|filename= NLO585-L2-classical_NL.pdf|title=Lecture 2: slides}} | ||
+ | {{PDF Table Item|filename= NLO585_L3_tensor_symmetries.pdf|title=Lecture 3: tensor symmetries}} | ||
+ | {{PDF Table Item|filename= NLO585-L3-chi_matrix.pdf|title=Lecture 3: slides}} | ||
+ | {{PDF Table Item|filename= NLO585_L4_time-dep_chi_-_mixing_prop_intro.pdf|title=Lecture 4: time-dependent chi, mixing propagation equations}} | ||
+ | {{PDF Table Item|filename= NLO585_L5_polarization-JonesVect-waveplates.pdf|title=Lecture 5: polarization, birefringence, waveplates}} | ||
+ | {{PDF Table Item|filename= NLO585_L6_index_ellipsoid_-_phase_matching.pdf|title=Lecture 6: index ellipsoid, birefringent phase matching}} | ||
+ | {{PDF Table Item|filename= NLO585_L7_electro-optics_QPM.pdf|title=Lecture 7: electro-optics, quasi-phasematching}} | ||
+ | {{PDF Table Item|filename= NLO585_L8_beam_crossing_-_pulse_autocorrelation.pdf|title=Lecture 8: beam crossing, pulse autocorrelation}} | ||
+ | {{PDF Table Item|filename= NLO585_L9_NL_index_and_tensor_chi3.pdf|title=Lecture 9: NL index, tensor chi3, polarization gating and NL ellipse rotation}} | ||
+ | |||
+ | |||
{{End PDF Table}} | {{End PDF Table}} | ||
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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. (8.0.0 is the current version) | 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. (8.0.0 is the current version) | ||
− | + | 2011 files (these have been updated to run in v8.) | |
{{Start PDF Table}} | {{Start PDF Table}} | ||
− | |||
{{PDF Table Item|filename=Nonpert_nlo_response.nb|title= Nonpert_nlo_response.nb: classical model of time dependent nonlinear response (3rd order), solved with NDSolve. Includes FFT to show harmonic structure }} | {{PDF Table Item|filename=Nonpert_nlo_response.nb|title= Nonpert_nlo_response.nb: classical model of time dependent nonlinear response (3rd order), solved with NDSolve. Includes FFT to show harmonic structure }} | ||
− | {{PDF Table Item|filename=Crystal_symmetries.nb|title=Crystal_symmetries.nb: demonstrate effect of crystal symmetries, calculate angular dependence of deff. This has some examples of working with vectors and matrices in Mathematica.}} | + | |
+ | {{PDF Table Item|filename=chi2map.nb|title=chi2map.nb: using classical NL model, map of chi2 vs input frequencies, showing resonance locations}} | ||
+ | {{PDF Table Item|filename=Crystal_symmetries.nb|title=Crystal_symmetries.nb: demonstrate effect of crystal symmetries, calculate angular dependence of deff. This has some | ||
+ | examples of working with vectors and matrices in Mathematica.}} | ||
+ | |||
{{PDF Table Item|filename=Phase_match_KDP.nb|title= Phase_match_KDP.nb: Phase matching program for KDP crystals }} | {{PDF Table Item|filename=Phase_match_KDP.nb|title= Phase_match_KDP.nb: Phase matching program for KDP crystals }} | ||
{{PDF Table Item|filename=Mixing_solutions.nb|title= Mixing_solutions.nb: solutions of simultaneous NL eqns for doubling }} | {{PDF Table Item|filename=Mixing_solutions.nb|title= Mixing_solutions.nb: solutions of simultaneous NL eqns for doubling }} | ||
+ | |||
+ | {{PDF Table Item|filename=Fft demo.nb|title=fft demo.nb: demonstrate numerical Fourier transforms (FFT) }} | ||
+ | |||
{{End PDF Table}} | {{End PDF Table}} | ||
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{{PDF Table Item|filename=NL_pulse_prop_sv.nb|title=NL prop code}} | {{PDF Table Item|filename=NL_pulse_prop_sv.nb|title=NL prop code}} | ||
{{PDF Table Item|filename=List_convolve_demo.nb|title=List convolve demo.nb: demonstrate numerical convolutions}} | {{PDF Table Item|filename=List_convolve_demo.nb|title=List convolve demo.nb: demonstrate numerical convolutions}} | ||
− | |||
{{PDF Table Item|filename=Hhg_simple_model.nb|title= Hhg_simple_model.nb: kinetic model of electron motion in high-order harmonic generation }} | {{PDF Table Item|filename=Hhg_simple_model.nb|title= Hhg_simple_model.nb: kinetic model of electron motion in high-order harmonic generation }} | ||
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=Links to literature in nonlinear optics= | =Links to literature in nonlinear optics= | ||
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Feel free to add to the list of database and journal sites | Feel free to add to the list of database and journal sites | ||
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[http://scitation.aip.org/| Scitation: American Institute of Physics journals search] | [http://scitation.aip.org/| Scitation: American Institute of Physics journals search] | ||
− | [http://www.opticsinfobase.org/| Optics Infobase: Optical Society of America journal search] | + | [http://www.opticsinfobase.org/| Optics Infobase: Optical Society of America journal search. Good for Optics Letters, Optics Express, Applied Optics, JOSA A and B, etc] |
[http://www.mines.edu/library/Database/subjectdb/subjectdb.cgi| 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.] | [http://www.mines.edu/library/Database/subjectdb/subjectdb.cgi| 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.] | ||
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==Journal pages== | ==Journal pages== | ||
− | You can go to these to browse current issues or to look up specific references. | + | You can go to these to browse current issues or to look up specific references. These journals are European journals that are not indexed through Scitation or Optics Infobase. |
− | + | ||
− | + | ||
− | + | ||
− | + | ||
[http://www.springerlink.com/content/1432-0649/| '''Applied Physics B'''] | [http://www.springerlink.com/content/1432-0649/| '''Applied Physics B'''] | ||
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==Journal Articles== | ==Journal Articles== | ||
+ | Each one of you should add references you think would be of general interest to this list. We will have a rotating schedule for when it will be your turn. (Please note that this will be part of your grade...) | ||
+ | |||
+ | 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. | ||
+ | |||
===Development of the theory, historical=== | ===Development of the theory, historical=== | ||
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*Neshev ''et al'', Optics Letters V28 p710 (2003) "Spatial solitons in optically induced gratings" [http://ol.osa.org/DirectPDFAccess/2B822816-BDB9-137E-CB66A464A9EF7F05_71931.pdf?da=1&id=71931&seq=0&CFID=39721782&CFTOKEN=79867286 On Campus Link] (Murrell 1/16/07)-Interesting Paper on a nonlinear optics application from the first lecture. | *Neshev ''et al'', Optics Letters V28 p710 (2003) "Spatial solitons in optically induced gratings" [http://ol.osa.org/DirectPDFAccess/2B822816-BDB9-137E-CB66A464A9EF7F05_71931.pdf?da=1&id=71931&seq=0&CFID=39721782&CFTOKEN=79867286 On Campus Link] (Murrell 1/16/07)-Interesting Paper on a nonlinear optics application from the first lecture. | ||
+ | |||
+ | *Chin "et al", Can. J. Phys. 83:863-905 (2005) "The propagation of powerful femtosecond laser pulses in optical media: physics, applications, and new challenges" [http://www.nrcresearchpress.com/doi/abs/10.1139/p05-048] (A. Meier 4/27/11)-A review of filamentation. | ||
===Ultrafast Nonlinear Optics=== | ===Ultrafast Nonlinear Optics=== | ||
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*[http://www.opticsinfobase.org/abstract.cfm?id=7965 opticsinfobase] & [http://ol.osa.org/abstract.cfm?&id=79652 osa] Dan Adams (2/22) These articles describes the process of measuring ultrashort light pulses by using a frequency resolved optical gate that consists of a nonlinear crystal. Many types of this device exist and have been cited in class. | *[http://www.opticsinfobase.org/abstract.cfm?id=7965 opticsinfobase] & [http://ol.osa.org/abstract.cfm?&id=79652 osa] Dan Adams (2/22) These articles describes the process of measuring ultrashort light pulses by using a frequency resolved optical gate that consists of a nonlinear crystal. Many types of this device exist and have been cited in class. | ||
+ | *T. Brabec, ''et al'', Optics Letters, Vol. 17, Issue 18, pp. 1292-1294 (1992) "Kerr lens mode locking" [http://www.opticsinfobase.org/abstract.cfm?URI=ol-17-18-1292 opticsinfobase] (B. Galloway 1/25/2011). An article describing an optical system in a laser oscillator to allow passive mode locking using a Kerr lens and an aperture. Aspects like dependence of gain on intracavity power and the stability parameter are included in the analysis. | ||
+ | |||
+ | *H. Hirori, ''et al'', "Single Cycle THz Pulses with amplitudes exceeding 1MV/cm generated by optical rectification in LiNbO3" [http://arxiv.org/ftp/arxiv/papers/1102/1102.1218.pdf arxiv] (K. Strovink 2/14/2011). Describes a method for creating coherent, ultrashort pulses at 1THz. | ||
===Imaging with Harmonic Generation=== | ===Imaging with Harmonic Generation=== | ||
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*H. J. Simon, D. E. Mitchell, and J. G. Watson, Phys. Rev. Lett. 33, 1531 - 1534 (1974), "Optical Second-Harmonic Generation with Surface Plasmons in Silver Films," [http://prola.aps.org/pdf/PRL/v33/i26/p1531_1 Simon (1974)] (Perzinski 3/29/2007)-First experimental investigation of coupling SHG to surface plasmons on silver films. | *H. J. Simon, D. E. Mitchell, and J. G. Watson, Phys. Rev. Lett. 33, 1531 - 1534 (1974), "Optical Second-Harmonic Generation with Surface Plasmons in Silver Films," [http://prola.aps.org/pdf/PRL/v33/i26/p1531_1 Simon (1974)] (Perzinski 3/29/2007)-First experimental investigation of coupling SHG to surface plasmons on silver films. | ||
+ | |||
+ | ===Misc cool papers=== | ||
+ | *M. McCall, A. Favaro, P. Kinsler and A. Boardman, J. Opt. v13, 024003 (2011) "A spacetime cloak, or a history editor." [http://iopscience.iop.org/2040-8986/13/2/024003/ McCall (2011)] (Durfee 1/19/2011)-How to hide from a time-machine? | ||
+ | |||
+ | *R.W. Boyd and D. Gauthier, Science, 326,1074-1077 (2009) "Controlling the Velocity of Light Pulses," [http://www.sciencemag.org/content/326/5956/1074.short Boyd (2009)] (Lemmon, 5/12/2011) -Nice review of slow and fast light techniques and applications | ||
=Other course Links= | =Other course Links= |
Latest revision as of 06:31, 23 March 2012
Main Page | > | Physics Course Wikis |
Course Information
Professor: Chip Durfee
Office: Meyer Hall 330
Meeting Times: Monday, Wednesday 11:00-12:15
Room: Hill Hall 211
Office hours: - TBA
Announcements
7 March: Homework 4 comments:
Problem 1: Assume chi(3) is the same in the glass and in the water. You can set your coordinate system such that z = 0 is at the beam waist, and the interface is at some other z position, zI. Then you'll be looking at two integrals, from -infinity to zI through water, then from zI to plus infinity. Note that the spot size is connected to the f/number: w = (2/π) λ f/number.
Problem 2: δ is a measure of the ellipticity of the state. It is a function of Aplus and Aminus, so you should be able to express Aplus and Aminus in terms of δ. From there, you can then calculate the Δn.
2 March: Homework 4 will be due next wednesday instead of monday, since some of you have an EM project due on Monday.
1 March: Homework 4 is posted, due next monday at the end of the day. Solutions to HW3 are available - come by my office to pick them up.
14 Feb: Homework 3 is due a week from Tuesday instead of Monday since there is no class that monday. Lecture notes are all scanned and posted.
12 Feb: Homework 3 is posted, due a week from Monday.
2 Feb: Caught up with notes scanning. Homework 2 is posted, due next wednesday.
If you are new to Mathematica, try doing the Wolfram screencast introduction, which you can find at http://url.wolfram.com/4enrnS/ I haven't tried this myself, but it's probably worth the time to help you get started. After going through that, feel free to come by during office hours to ask questions about working with Mathematica.
12 Jan: Welcome to the new Wiki page for Nonlinear Optics! The syllabus is posted below. You'll see an old sections for Lecture Notes with some scans of notes from previous years. Note that the '07 version is in Gaussian units. I've scanned and posted the notes for our first lecture. The first homework will be posted soon.
Office hours
Office hours:
tentative times - M12:30-3:30, W12:30-2:30
Course Material
Syllabus and Reading List
These downloads require Adobe Acrobat Reader
|
Homework Assignments
Lecture Notes 2011
These downloads require Adobe Acrobat Reader
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Lecture Notes 2009
These downloads require Adobe Acrobat Reader
|
Lecture Notes 2007
These will be revised as we go along. Note that they are in Gaussian units, not SI. It looks like I had scanned just past halfway through the course. I'll see if I can find someone to help scan the rest.
These downloads require Adobe Acrobat Reader
|
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. (8.0.0 is the current version)
2011 files (these have been updated to run in v8.)
These downloads require Adobe Acrobat Reader
|
2007 files (written in v5.2, but can be read into v6 or v7 and updated)
These downloads require Adobe Acrobat Reader
|
Links to literature in nonlinear optics
Feel free to add to the list of database and journal sites
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
Journal pages
You can go to these to browse current issues or to look up specific references. These journals are European journals that are not indexed through Scitation or Optics Infobase.
Journal Articles
Each one of you should add references you think would be of general interest to this list. We will have a rotating schedule for when it will be your turn. (Please note that this will be part of your grade...)
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.
Development of the theory, historical
- 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)
Optical parametric amplifiers
- Brida, et al. Optics Express V15 p15035 (2007) "Generation of broadband mid-infrared pulses from an optical parametric amplifier" Brida OPA 1 (Durfee 1/19/09)-This is the paper we are working through in class as an example of an ultrafast OPA.
High-order harmonic generation
- Corkum, Physical Review Letters V71 p1994 (1993) "Plasma Perspective on strong-field multiphoton ionization" Corkum (1993) (Durfee 1/22/07)-This is one of the first papers with a simple, semi-classical model of high-order harmonic generation and other strong-field effects that take place during tunneling ionization.
- Kapteyn, Henry: slides from a talk at LLBL (2005) "Coherent XUV Radiation: High-harmonic generation" Kapteyn HHG talk (Durfee 1/23/07) - This is a nice summary of the high-order harmonic generation process and some of the recent developments of the field.
Self-focusing, spatial solitons
- Neshev et al, Optics Letters V28 p710 (2003) "Spatial solitons in optically induced gratings" On Campus Link (Murrell 1/16/07)-Interesting Paper on a nonlinear optics application from the first lecture.
- Chin "et al", Can. J. Phys. 83:863-905 (2005) "The propagation of powerful femtosecond laser pulses in optical media: physics, applications, and new challenges" [1] (A. Meier 4/27/11)-A review of filamentation.
Ultrafast Nonlinear Optics
- S. Zhang, et al, Optics Letters V30 p2852-2854 (2005) "Passive mode locking at harmonics of the free spectral range of the intracavity filter in a fiber ring laser," On Campus Link (Murrell 1/29/07)-An experimental writeup on a passivly mode locked ring laser via polarization controllers in the cavity.
- opticsinfobase & osa Dan Adams (2/22) These articles describes the process of measuring ultrashort light pulses by using a frequency resolved optical gate that consists of a nonlinear crystal. Many types of this device exist and have been cited in class.
- T. Brabec, et al, Optics Letters, Vol. 17, Issue 18, pp. 1292-1294 (1992) "Kerr lens mode locking" opticsinfobase (B. Galloway 1/25/2011). An article describing an optical system in a laser oscillator to allow passive mode locking using a Kerr lens and an aperture. Aspects like dependence of gain on intracavity power and the stability parameter are included in the analysis.
- H. Hirori, et al, "Single Cycle THz Pulses with amplitudes exceeding 1MV/cm generated by optical rectification in LiNbO3" arxiv (K. Strovink 2/14/2011). Describes a method for creating coherent, ultrashort pulses at 1THz.
Imaging with Harmonic Generation
- J. Squier, M. Muller, Applied Optics V38 p5789-5794 (1999) "Third-Harmonic generation imaging of laser-induced breakdown in glass," On Campus Link (Hrin 1/31/07)-A description of how harmonic generation can be used to image sub-micron structures and features.
- Kuang Yao Lo, Juh Tzeng Lue, Physical Review B V 51 (4) p2467-2472 (1995) "Quantum size effect on optical second-harmonic generation in small metal particles," On Campus Link (Hrin 2/21/07)-Theoretical and experimental work looking at SHG from quantum confined systems
Stimulated Brillouin Scattering
- V. I. Kovalev and R. G. Harrison, Opt. Lett. 30, 3389-3391 (2005) "Origin of temporally stable continuous-wave Stokes emission in stimulated Brillouin scattering: evidence of spectral self-phase conjugation," Kovalev & Harrison (2005) (Hoffman 2/27/07)- Useful Article talking about SBS and phase conjugation.
- A. A. Fotiadi, P. Mégret, and M. Blondel, Opt. Lett. 29, 1078-1080 (2004) "Dynamics of a self-Q-switched fiber laser with a Rayleigh-stimulated Brillouin scattering ring mirror," Fotiadi, Mégret, & Blondel (2004) (Hoffman 2/27/07)- Interesting Article using SBS to Q-switch a fiber laser.
Nonlinear Surface Plasmons
- D. Sarid, Appl. Phys. Lett. 39, 889 (1981) "The nonlinear propagation constant of a surface plasmon," Sarid (1981) (Perzinski 3/29/2007)-A description for an expression for the change in the propagation constant.
- D. Sarid, R. T. Deck, and J. J. Fasano, J. Opt. Soc. Am. 72, 1345- (1982) "Enhanced nonlinearity of the propagation constant of a long-range surface-plasma wave," Sarid (1982) (Perzinski 3/29/2007)-A description of the propagation constant as a function of the thickness of the metal film bounded by a nonlinear semiconductor.
- H. J. Simon, D. E. Mitchell, and J. G. Watson, Phys. Rev. Lett. 33, 1531 - 1534 (1974), "Optical Second-Harmonic Generation with Surface Plasmons in Silver Films," Simon (1974) (Perzinski 3/29/2007)-First experimental investigation of coupling SHG to surface plasmons on silver films.
Misc cool papers
- M. McCall, A. Favaro, P. Kinsler and A. Boardman, J. Opt. v13, 024003 (2011) "A spacetime cloak, or a history editor." McCall (2011) (Durfee 1/19/2011)-How to hide from a time-machine?
- R.W. Boyd and D. Gauthier, Science, 326,1074-1077 (2009) "Controlling the Velocity of Light Pulses," Boyd (2009) (Lemmon, 5/12/2011) -Nice review of slow and fast light techniques and applications
Other course Links
JavaOptics: a nice collection of optics-related demonstrations