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Introduction to Optical Electronics
Quantum (Photon) Optics (Ch 12) Resonators (Ch 10) Electromagnetic Optics (Ch 5) Wave Optics (Ch 2 & 3) Ray Optics (Ch 1) Photons & Atoms (Ch 13) Laser Amplifiers (Ch 14) Lasers (Ch 15) Photons in Semiconductors (Ch 16) Semiconductor Photon Detectors (Ch 18) Semiconductor Photon Sources (Ch 17) Optics Physics Optoelectronics
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Traveling Waves in a Planar-Mirror Resonator
U3 U2 U1 r = r1 r2 U0 r e-jU r e-j + U0 U
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Traveling Waves in a Planar-Mirror Resonator
d r1r2 e-j2 + E0 E r1r2 e-j E
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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
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Spectrum Analyzer T = Transmittance
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Optical Cavities Exercise 1.4-7 (PS 1)
d R1 R2 M1 M2 or
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Resonator Stability Diagram
c d e -1 1 Symmetrical Resonators g1 g2 Planar (R1 = R2 = ∞) Symmetrical confocal (R1 = R2 = -d) Symmetrical concentric (R1 = R2 = -d/2) Confocal / planar (R1 = -d, R2 = ∞) Concave / convex (R1 < 0, R2 > 0
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The Gaussian Beam
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Matching Gaussian Beam to Spherical Mirrors
d R1 = R(z1) Phase fronts -R2 = R(z2) z1 z2
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Exercise 9.2-1 Maximum Resonator Length for Confined Rays
Phase fronts R2 z1 z2 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 Resonators Hermite-Gaussian Modes
z1 z2 d Phase fronts
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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.
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