Image: PhD thesis of Albert Schliesser, LMU München Cavity ... · Rene Reimann, [email protected]...
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| Rene Reimann, [email protected] www.nano-optics.org Cavity Optomechanics - Interaction of Light with Mechanical Structures Nano-Optics Lecture 2018-12-14 1 Image: PhD thesis of Albert Schliesser, LMU München
Transcript of Image: PhD thesis of Albert Schliesser, LMU München Cavity ... · Rene Reimann, [email protected]...
|Rene Reimann, [email protected] www.nano-optics.org
Cavity Optomechanics
- Interaction of Light with Mechanical StructuresNano-Optics Lecture
2018-12-14 1
Image: PhD thesis of Albert Schliesser, LMU München
On the menu today
Optomechanics
• Recap: Optical properties of cavity
• Coupling of radiation to mechanical motion
• Examples
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Big “Thank you!” to Rene Reimann for his lecture slides and notes!
Recap: Spectral properties of optical resonators
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𝐸in
𝐸ref
𝐸1
𝐸2
𝐸out
𝑅, 𝑇 𝑅, 𝑇
𝐿
→ 𝑇out=𝑇2
1 + 𝑅2 − 2𝑅 cos 2𝑘𝐿
Transmission:
𝜆/2
in real space
𝑇out ≈𝛾02
𝛾02 + (𝜔 − 𝜔0)
2𝛾0 =
(1 − 𝑅)
2
𝑐
𝐿with
For high reflectivity R (good cavity):
|Rene Reimann, [email protected] www.nano-optics.org 2018-12-14 4
Equations of Motion
Cavity:
Oscillator:
|Rene Reimann, [email protected] www.nano-optics.org 2018-12-14 6
Coupled Equations of Motion – Intuition[slide taken from James Millen]
The position of the mirror changes the cavity resonance (dispersion).
The intra-cavity intensity changes the position of the mirror (backaction).
FrequencyIn
tra
ca
vity
in
ten
sity
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Effective Equation of Motion
Detailed treatment: PhD thesis of Albert Schliesser, LMU München
Frequency shift due to coupling to light
Modified damping rate due to coupling to light
|Rene Reimann, [email protected] www.nano-optics.org 2018-12-14 8
Effective Temperature
With Wiener Khintchine theorem:
With Equipartition theorem:
|Rene Reimann, [email protected] www.nano-optics.org 2018-12-14 9
Effective Equation of Motion + Solutions
Detailed treatment: PhD thesis of Albert Schliesser, LMU München
Frequency shift due to coupling to light
Modified damping rate due to coupling to light
New effective temperature:
|Rene Reimann, [email protected] www.nano-optics.org 2018-12-14 10
Effective Equation of Motion + Solutions
Detailed treatment: PhD thesis of Albert Schliesser, LMU München
Cavity optomechanics: Example
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Gigan et al., Nature 444, 67 (2006)
Cavity optomechanics: Example
• fds
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Gigan et al., Nature 444, 67 (2006)
Cavity optomechanics: Example
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Gigan et al., Nature 444, 67 (2006)
Cavity optomechanics: Example 2
•
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Teufel et al., Nature 475, 359 (2011)
Cavity optomechanics: Example 2
•
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Teufel et al., Nature 475, 359 (2011)
Administrative things
• Exam schedule
• Reports?
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