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EE 8390: c P. Christensen ociate Professor ctrical Engineering Department thern Methodist University las, TX 75275 @engr.smu.edu 4) 768-1407 Fourier Optics Chapter 9: Holography

EE 8390: Marc P. Christensen Associate Professor Electrical Engineering Department Southern Methodist University Dallas, TX 75275 [email protected] (214)

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Page 1: EE 8390: Marc P. Christensen Associate Professor Electrical Engineering Department Southern Methodist University Dallas, TX 75275 mpc@engr.smu.edu (214)

EE 8390:

Marc P. ChristensenAssociate ProfessorElectrical Engineering DepartmentSouthern Methodist UniversityDallas, TX [email protected](214) 768-1407

Fourier OpticsChapter 9: Holography

Page 2: EE 8390: Marc P. Christensen Associate Professor Electrical Engineering Department Southern Methodist University Dallas, TX 75275 mpc@engr.smu.edu (214)

Holography• 1948: Dennis Gabor – proposes lensless

imaging: wavefront reconstruction.• Calls it “total recording” or Holo gram• Concept: record and recreate wavefront

incident on “film”. – Amplitude & Phase

• How is that different than photography?• How is it accomplished?

– Inclusion of a reference wave, record the interference, capture the phase.

Page 3: EE 8390: Marc P. Christensen Associate Professor Electrical Engineering Department Southern Methodist University Dallas, TX 75275 mpc@engr.smu.edu (214)

Typical Setup

Page 4: EE 8390: Marc P. Christensen Associate Professor Electrical Engineering Department Southern Methodist University Dallas, TX 75275 mpc@engr.smu.edu (214)

Recorded Waves

Page 5: EE 8390: Marc P. Christensen Associate Professor Electrical Engineering Department Southern Methodist University Dallas, TX 75275 mpc@engr.smu.edu (214)

Recording

Page 6: EE 8390: Marc P. Christensen Associate Professor Electrical Engineering Department Southern Methodist University Dallas, TX 75275 mpc@engr.smu.edu (214)

Reconstruction

Page 7: EE 8390: Marc P. Christensen Associate Professor Electrical Engineering Department Southern Methodist University Dallas, TX 75275 mpc@engr.smu.edu (214)

Reconstruction Diagram

Page 8: EE 8390: Marc P. Christensen Associate Professor Electrical Engineering Department Southern Methodist University Dallas, TX 75275 mpc@engr.smu.edu (214)

What about image formation?

Page 9: EE 8390: Marc P. Christensen Associate Professor Electrical Engineering Department Southern Methodist University Dallas, TX 75275 mpc@engr.smu.edu (214)

Image Formation Reconstruction

Page 10: EE 8390: Marc P. Christensen Associate Professor Electrical Engineering Department Southern Methodist University Dallas, TX 75275 mpc@engr.smu.edu (214)

Image Formation Reconstruction

Page 11: EE 8390: Marc P. Christensen Associate Professor Electrical Engineering Department Southern Methodist University Dallas, TX 75275 mpc@engr.smu.edu (214)

Gabor Hologram

Page 12: EE 8390: Marc P. Christensen Associate Professor Electrical Engineering Department Southern Methodist University Dallas, TX 75275 mpc@engr.smu.edu (214)

Gabor Hologram Recording

Page 13: EE 8390: Marc P. Christensen Associate Professor Electrical Engineering Department Southern Methodist University Dallas, TX 75275 mpc@engr.smu.edu (214)

Gabor Reconstruction

Page 14: EE 8390: Marc P. Christensen Associate Professor Electrical Engineering Department Southern Methodist University Dallas, TX 75275 mpc@engr.smu.edu (214)

Leith-Upatniekes Hologram

Page 15: EE 8390: Marc P. Christensen Associate Professor Electrical Engineering Department Southern Methodist University Dallas, TX 75275 mpc@engr.smu.edu (214)

Leith-Upatniekes Reconstruction

Page 16: EE 8390: Marc P. Christensen Associate Professor Electrical Engineering Department Southern Methodist University Dallas, TX 75275 mpc@engr.smu.edu (214)

Holography of 3D Object

Page 17: EE 8390: Marc P. Christensen Associate Professor Electrical Engineering Department Southern Methodist University Dallas, TX 75275 mpc@engr.smu.edu (214)

Holography of 3D Object

Page 18: EE 8390: Marc P. Christensen Associate Professor Electrical Engineering Department Southern Methodist University Dallas, TX 75275 mpc@engr.smu.edu (214)

Holography of 3D Object

Page 19: EE 8390: Marc P. Christensen Associate Professor Electrical Engineering Department Southern Methodist University Dallas, TX 75275 mpc@engr.smu.edu (214)
Page 20: EE 8390: Marc P. Christensen Associate Professor Electrical Engineering Department Southern Methodist University Dallas, TX 75275 mpc@engr.smu.edu (214)
Page 21: EE 8390: Marc P. Christensen Associate Professor Electrical Engineering Department Southern Methodist University Dallas, TX 75275 mpc@engr.smu.edu (214)

http://www.youtube.com/watch?v=HqEwQuzcafI

Page 22: EE 8390: Marc P. Christensen Associate Professor Electrical Engineering Department Southern Methodist University Dallas, TX 75275 mpc@engr.smu.edu (214)

http://amasci.com/amateur/holo1.html

http://www.youtube.com/watch?v=XUy8lELWhJg&feature=related

Page 23: EE 8390: Marc P. Christensen Associate Professor Electrical Engineering Department Southern Methodist University Dallas, TX 75275 mpc@engr.smu.edu (214)

Interesting Aspects of Hologram• Hologram is like a window.

• What happens if I break a hologram?

• What happens if I shrink / stretch a hologram?

Page 24: EE 8390: Marc P. Christensen Associate Professor Electrical Engineering Department Southern Methodist University Dallas, TX 75275 mpc@engr.smu.edu (214)

• http://portal.acm.org/citation.cfm?id=1288481

Page 25: EE 8390: Marc P. Christensen Associate Professor Electrical Engineering Department Southern Methodist University Dallas, TX 75275 mpc@engr.smu.edu (214)

7

Today

8 9AcoustoOptics

10 11 12

13 14

Holo.

15 16

Holo

17 18 19

20 21

Review

22 23

Review

24 25 26

27 28Last Class

29 30 1 2 3

4 5 6 7 8Exam Due

9 10

M T W R F SS

Projects Presented

Chapter 8HW Due

Page 26: EE 8390: Marc P. Christensen Associate Professor Electrical Engineering Department Southern Methodist University Dallas, TX 75275 mpc@engr.smu.edu (214)

Applications of Holography• What does a Hologram do?

• How can we leverage this?

• Do we really know which is the reference and which is the object?

Page 27: EE 8390: Marc P. Christensen Associate Professor Electrical Engineering Department Southern Methodist University Dallas, TX 75275 mpc@engr.smu.edu (214)

Microscopy

Page 28: EE 8390: Marc P. Christensen Associate Professor Electrical Engineering Department Southern Methodist University Dallas, TX 75275 mpc@engr.smu.edu (214)

Interferometry – Multiple Exposure Holography

• What if we expose a holographic recording media multiple times?

• What would this reconstruct?

Page 29: EE 8390: Marc P. Christensen Associate Professor Electrical Engineering Department Southern Methodist University Dallas, TX 75275 mpc@engr.smu.edu (214)

One Idea:• What if we record only 2 holograms with

extremely short and bright exposures?– Hologram #1 is just a diffuse background

illumination.– Hologram #2 is captures a speeding bullet

mid-flight.

• What happens when we re-create simultaneous background and bullet images?

Page 30: EE 8390: Marc P. Christensen Associate Professor Electrical Engineering Department Southern Methodist University Dallas, TX 75275 mpc@engr.smu.edu (214)

Another Idea: Real time

Page 31: EE 8390: Marc P. Christensen Associate Professor Electrical Engineering Department Southern Methodist University Dallas, TX 75275 mpc@engr.smu.edu (214)

Another Idea: Vibrating Surface

http://www.isvr.soton.ac.uk/SPCG/Tutorial/Tutorial/Tutorial_files/Web-standing-guitar.htm

Page 32: EE 8390: Marc P. Christensen Associate Professor Electrical Engineering Department Southern Methodist University Dallas, TX 75275 mpc@engr.smu.edu (214)

Imaging through distorting media

Page 33: EE 8390: Marc P. Christensen Associate Professor Electrical Engineering Department Southern Methodist University Dallas, TX 75275 mpc@engr.smu.edu (214)

Imaging through distorting media

Page 34: EE 8390: Marc P. Christensen Associate Professor Electrical Engineering Department Southern Methodist University Dallas, TX 75275 mpc@engr.smu.edu (214)

Holographic Storage

http://www.research.ibm.com/journal/rd/443/ashle4.gif