Optical microcavity

Time-resolved simulation of the dynamics of a pulse illuminating a microcavity.

An optical microcavity or microresonator is a structure formed by reflecting faces on the two sides of a spacer layer or optical medium, or by wrapping a waveguide in a circular fashion to form a ring. The former type is a standing wave cavity, and the latter is a traveling wave cavity. The name microcavity stems from the fact that it is often only a few micrometers thick, the spacer layer sometimes even in the nanometer range. As with common lasers, this forms an optical cavity or optical resonator, allowing a standing wave to form inside the spacer layer or a traveling wave that goes around in the ring.

Applications and effects

The fundamental difference between a conventional optical cavity and microcavities is the effects that arise from the small dimensions of the system, but their operational principle can often be understood in the same way as for larger optical resonators. Quantum effects of the light's electromagnetic field can be observed.^[1] For example, the spontaneous emission rate and behaviour of atoms is altered by such a microcavity, a phenomenon that is referred to as inhibited spontaneous emission.^[2] One can imagine this as the situation that no photon is emitted, if the environment is a box that is too small to hold it. This leads to an altered emission spectrum, which is significantly narrowed.

Moreover, nonlinear effects are enhanced by orders of magnitude due to the strong light confinement, leading to the generation of microresonator frequency combs, low-power parametric processes such as down-conversion, second-harmonic generation, four-wave mixing and optical parametric oscillation.^[3] Several of these nonlinear processes themselves lead to the generation of quantum states of light. Another field that harnesses the strong confinement of light is cavity optomechanics, where the back-and-forth interaction of the light beam with the mechanical motion of the resonator becomes strongly coupled.^[4][5] Even in this field, quantum effects can start playing a role.^[6]

Microcavities have many applications, frequently at present in optoelectronics, where vertical cavity surface emitting lasers VCSEL are probably the best known. Recently, a single photon emitting device was demonstrated by placing a quantum dot in a microcavity. These light sources are interesting for quantum cryptography and quantum computers.

An overview is given in the review article published in the journal Nature.^[7]

Types

Standing-wave

For a microcavity supporting a single-mode or a few standing-wave modes, the thickness of the spacer layer determines the so-called "cavity-mode", which is the one wavelength that can be transmitted and will be formed as a standing wave inside the resonator. Depending on the type and quality of the mirrors, a so-called stop-band will form in the transmission spectrum of the microcavity, a long range of wavelengths, that is reflected and a single one being transmitted (usually in the centre). There are different means of fabricating standing-wave microcavities, either by evaporating alternating layers of dielectric media to form the mirrors (DBR) and the medium inside the spacer layer or by modification of semiconductor material or by metal mirrors.

Traveling-wave

Often just called "microresonators", traveling wave microcavities have a wave going around in a loop-like fashion in a preferred direction, depending on the input light direction. They can be in the form of whispering-gallery resonators, or as integrated ring resonators. Typical materials from which they are made could be semiconductors like Silicon, Silicon dioxide, silicon nitride, crystalline fluorides (CaF₂, MgF₂, SrF₂) or lithium niobate. The material is chosen such that it is low-loss and transparent in the wavelength of application desired. Typically, such structures are fabricated by either diamond turning or micromachining a cylindrical rod of a material (especially for fluorides and lithium niobate), or by photolithography and electron-beam lithography to produce a patterned resonator on chip (for silicon-based materials).^[8][9]

When an integer number of wavelengths in the material fits in the circumference of the resonator, a resonant wave is excited by constructive interference. At resonance, the light field can be enhanced by several hundred to several million times, quantified by the Finesse Coefficient of the resonator.^[10] This also leads to an ultrahigh quality factor, meaning that light travels around the circumference many million times before decaying into the surroundings.^[11][12]

See also

• Optical cavity
• Vertical-cavity surface-emitting laser

References

1. Fürst, J. U.; Strekalov, D. V.; Elser, D.; Aiello, A.; Andersen, U. L.; Marquardt, Ch.; Leuchs, G. (2011-03-15). "Quantum Light from a Whispering-Gallery-Mode Disk Resonator". Physical Review Letters. 106 (11): 113901. arXiv:1008.0594. Bibcode:2011PhRvL.106k3901F. doi:10.1103/PhysRevLett.106.113901. PMID 21469862. S2CID 15368404.
2. Yablonovitch, Eli (1987-05-18). "Inhibited Spontaneous Emission in Solid-State Physics and Electronics". Physical Review Letters. 58 (20): 2059–2062. Bibcode:1987PhRvL..58.2059Y. doi:10.1103/PhysRevLett.58.2059. PMID 10034639.
3. Fürst, J. U.; Strekalov, D. V.; Elser, D.; Aiello, A.; Andersen, U. L.; Marquardt, Ch.; Leuchs, G. (2010-12-27). "Low-Threshold Optical Parametric Oscillations in a Whispering Gallery Mode Resonator". Physical Review Letters. 105 (26): 263904. arXiv:1010.5282. Bibcode:2010PhRvL.105z3904F. doi:10.1103/PhysRevLett.105.263904. PMID 21231666. S2CID 21895312.
4. Kippenberg, T. J.; Vahala, K. J. (2007-12-10). "Cavity Opto-Mechanics". Optics Express. 15 (25): 17172–17205. arXiv:0712.1618. Bibcode:2007OExpr..1517172K. doi:10.1364/OE.15.017172. ISSN 1094-4087. PMID 19551012. S2CID 1071770.
5. Aspelmeyer, Markus; Kippenberg, Tobias J.; Marquardt, Florian (2014-12-30). "Cavity optomechanics". Reviews of Modern Physics. 86 (4): 1391–1452. arXiv:1303.0733. Bibcode:2014RvMP...86.1391A. doi:10.1103/RevModPhys.86.1391. S2CID 119252645.
6. Aspelmeyer, Markus; Meystre, Pierre; Schwab, Keith (July 2012). "Quantum optomechanics". Physics Today. 65 (7): 29–35. Bibcode:2012PhT....65g..29A. doi:10.1063/PT.3.1640. ISSN 0031-9228. S2CID 241302830.
7. Vahala, Kerry J. (2003). "Optical microcavities". Nature. 424 (6950): 839–846. Bibcode:2003Natur.424..839V. doi:10.1038/nature01939. ISSN 0028-0836. PMID 12917698. S2CID 4349700.
8. Selim, M. A.; Anwar, M. (12 September 2023). "Enhanced Q-factor and effective length silicon photonics filter utilizing nested ring resonators". Journal of Optics. 25 (11): 115801. arXiv:2309.02775. Bibcode:2023JOpt...25k5801S. doi:10.1088/2040-8986/acf5fd.
9. Shalaby, R. A.; Selim, M. A.; Adib, G. A.; Sabry, Yasser; Khalil, Diaa (2019). "Silicon photonics dual-coupler nested coupled cavities". In Reed, Graham T.; Knights, Andrew P. (eds.). Silicon Photonics XIV. Proceedings of the SPIE. Vol. 10923. pp. 187–193. Bibcode:2019SPIE10923E..1PS. doi:10.1117/12.2509661. ISBN 978-1-5106-2488-7.
10. Savchenkov, Anatoliy A.; Matsko, Andrey B.; Ilchenko, Vladimir S.; Maleki, Lute (2007-05-28). "Optical resonators with ten million finesse". Optics Express. 15 (11): 6768–6773. Bibcode:2007OExpr..15.6768S. doi:10.1364/OE.15.006768. ISSN 1094-4087. PMID 19546987.
11. Ji, Xingchen; Barbosa, Felippe A. S.; Roberts, Samantha P.; Dutt, Avik; Cardenas, Jaime; Okawachi, Yoshitomo; Bryant, Alex; Gaeta, Alexander L.; Lipson, Michal (2017-06-20). "Ultra-low-loss on-chip resonators with sub-milliwatt parametric oscillation threshold". Optica. 4 (6): 619–624. arXiv:1609.08699. Bibcode:2017Optic...4..619J. doi:10.1364/OPTICA.4.000619. ISSN 2334-2536. S2CID 119274616.
12. Armani, D. K.; Kippenberg, T. J.; Spillane, S. M.; Vahala, K. J. (February 2003). "Ultra-high-Q toroid microcavity on a chip". Nature. 421 (6926): 925–928. Bibcode:2003Natur.421..925A. doi:10.1038/nature01371. ISSN 0028-0836. PMID 12606995. S2CID 4420078.