Consider a plane, monochromatic electromagnetic wave with angular frequency , whose electric field is expressed in terms
Question:
Consider a plane, monochromatic electromagnetic wave with angular frequency ω, whose electric field is expressed in terms of its complex amplitude X1 + iX by Eq. (10.58). Because the field (inevitably) is noisy, its quadrature amplitudes X1 and X2 are random processes with means X̅1, X̅2 and variances △X1, △X2.
(a) Normal, classical light has equal amounts of noise in its two quadratures. Explain why it can be represented by Fig. 10.14a.
(b) Explain why Fig. 10.14b represents phase-squeezed light, and show that its electric field as a function of time has the form shown in Fig. 10.15.
(c) Explain why Fig. 10.14c represents amplitude-squeezed light, and construct a diagram of its electric field as a function of time analogous to Fig. 10.15.
(d) Figure 10.14d represents the vacuum state of light’s frequency-ω plane-wave mode. Give a formula for the diameter of the mode’s circular error box. Construct a diagram of the electric field as a function of time analogous to Fig. 10.15.
(e) Figure 10.14e represents the squeezed vacuum. Construct a diagram of its electric field as a function of time analogous to Fig. 10.15.
Eq. (10.58).
Fig. 10.14
Fig. 10.15
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Modern Classical Physics Optics Fluids Plasmas Elasticity Relativity And Statistical Physics
ISBN: 9780691159027
1st Edition
Authors: Kip S. Thorne, Roger D. Blandford