Introduction to Optical Electronics

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Introduction to Optical Electronics
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Traveling Waves in a Planar-Mirror Resonator
Mirror 1
Mirror 2
U3
U2
U1
r r1 r2
U0
r e-j?U
r e-j?

U0
U
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Traveling Waves in a Planar-Mirror Resonator
Mirror 1
Mirror 2
d
4
Modes of a System
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Modes of a Lossy Resonator
For large F
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Impact of Reflectivity (r)Imax held constant
r 0.5
r 0.9
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Spectrum Analyzer
T Transmittance
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Optical CavitiesExercise 1.4-7 (PS 1)
or
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Resonator Stability Diagram
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The Gaussian Beam
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Matching Gaussian Beam to Spherical Mirrors
d
R1 R(z1)
-R2 R(z2)
Phase fronts
z1
z2
0
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Exercise 9.2-1 Maximum Resonator Length for
Confined Rays
d
R1
R2
Phase fronts
z1
z2
0
A resonator is constructed using two concave
mirrors of radii 50 cm and 100 cm. Determine the
maximum resonator length for which rays satisfy
the confinement condition
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Exercise 9.2-2 Matching Gaussian Beams to a
Plano-Concave Resonator
d
R1
R2
z 0
z2

• Determine the following in terms of (d /R2)
• Confinement Condition (stability)
• Depth of Focus
• Beam Radius at the waist and at each of the
  mirrors

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Spherical-Mirror ResonatorsHermite-Gaussian Modes
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Exercise 9.2-3 Resonance Frequencies of a
Confocal Resonator

• A symmetrical confocal resonator has a length d
  30 cm, and the medium has refractive index n 1.
  Determine the frequency spacing ?F and the
  displacement frequency (?? /? )?F. Determine all
  the resonance frequencies that lie within the
  band 5 x 1014 ? 2 x 109 Hz.