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298:  Optics

Syllabus

Term:  Spring 2001

 

Instructor:  John Collins

 

Text:  Optics, 3rd Ed., Eugene Hecht

            

Other Readings:

 

Microscopy from the Very Beginning, Dr. F. K. Mollring

 

Contrast Methods in Microscopy:  Transmitted Light, M. Abramowitz

 

Fluorescence Microscopy:  The Essentials, M. Abramowitz

 

Reflected Light Microscopy:  An Overview, M. Abramowitz

 

Microscopy:  Basics and Beyond, M. Abramowitz

 

QED, Richard Feynman

 

Goals:

 

1.  Learn how to operate and understand all of the optical equipment in the Science Center. A partial list of that equipment: microscopes, telescopes, cameras (digital, film), projectors, spectrometers (Monochromator, Absorption Spectrometer, Raman Spectrometer), fluorescence microscope, lasers, simple lens systems, and fiber optics.

 

2.  To understand basic geometric optics and its many applications and limitations.

 

3.  To understand the wave theory of light and to observe the wave nature of light (diffraction, interference, scattering, polarization).

 

4.  To introduce the interaction of light with matter: absorption, scattering, reflection, refraction, birefringence, polaroids, and dichroism.

 

5.  To understand the superposition of waves. Topics include bandwidth, coherence, Fourier analysis, and wave packets. Applications to holography and interferometry.

 

6.  Introduce the quantum theory of light.

 

Course Topics:

 

1.  Geometric Optics: Reflection and refraction thin lens systems, apertures, mirrors, prisms, and fiber optics. Special topic: Wavefront shaping (phase conjugation.)

 

2.  Wave Motion: Harmonic waves, superposition, complex representation of waves, phasors, plane waves, the wave equation, and spherical waves.

 

3.  Introduction to Electromagnetic Theory: electromagnetic waves, energy and momentum of light, light in matter.

 

4.  The Propagation of Light: Rayleigh Scattering, reflection and refraction, Fermat¹s Principle, total internal reflection, optical properties of metals, interaction of light and matter. Special Topics: Stokes Treatment of Reflection and Refraction, and QED.

 

5.  Special Topics: Thick lenses, Lens systems, Aberrations

 

6.  The Superposition of Waves: Wave equation, addition of waves, beats, group velocity, Fourier series and Fourier integrals, coherence.

 

7.  Polarization: various polarization states, dichroism, Polaroid films, scattering, birefringence, polarization by scattering and by reflection, waveplates, polarization matrices.

 

8.  Interference: two-slit interference, Amplitude splitting interferometers (Michelson Interferometer, thin films), Fabry-Perot Interferometer, antireflection coatings, interference filters. Special Topics: Fresnel biprism, Newton¹s Rings, ring laser gyroscope, Fabry-Perot etalon.

 

9.  Diffraction: Huygens-Fresnel Principle, near- and far-field diffraction, single slit diffraction, multiple slit diffraction, diffraction from apertures. Special Topics: diffraction grating, diffraction from a pinhole.

 

10.  Introduction to Fourier Optics:

 

11.  Holography

 

Laboratory Exercises:

 

1.  The compound microscope

 

2.  Telescopes

 

3.  The fluorescence microscope

 

4.  Total internal reflection and fiber optics

 

5.  Addition of Waves (computer exercise)

 

6.  Polarization of light

 

7.  Fresnel biprism

 

8.  Two slit interference

 

9.  Newton’s rings

 

10.  Diffraction from a pinhole

 

11.  The diffraction grating

 

12.  Michelson Interferometer

 

13.  Fabry-Perot interferometer

 

14.  Holography

 

15.  Computer-generated holograms