### Abstract

We describe the effect of Transverse Electric (TE) wave propagation in dielectric micro-spheres for optical resonances based on Whispering Gallery Mode (WGM). TE waves are characterized both theoretically and experimentally by considering the fact that the size parameter (pi times diameter divided by wavelength of light) of the micro-spheres is very large at optical wavelengths. Asymptotic expressions have been developed based on electromagnetic theory derivations at the large size parameter limits. The developed expressions for optical resonance condition of TE wave are very simple and can accurately characterize resonances in dielectric microspheres. The theoretical development is mathematically robust and significantly less complicated than existing approaches based on quantum physics presented in the literature. The theoretical result of size parameter for consecutive morphology dependent resonance (MDR) peaks are validated by experimental data obtained via this study using a tunable semiconductor laser and from the literature. The comparisons are shown to be very accurate for large size parameters. The quality factor of experimental resonance spectra observed in the laboratory is calculated approximately in the order of 104 which is sensitive enough to detect micro or nano level temperature changes in the surrounding medium. The sensitivity of the MDR temperature sensor is wavelength change of 10^{-9} meter for one degree centigrade change in temperature. This sensor could potentially be used for nano technology, Micro-Electro-Mechanical Systems (MEMS) devices, and biomedical applications.

Original language | English (US) |
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Title of host publication | 2007 Proceedings of the ASME/JSME Thermal Engineering Summer Heat Transfer Conference - HT 2007 |

Pages | 303-312 |

Number of pages | 10 |

Volume | 2 |

DOIs | |

State | Published - 2007 |

Event | 2007 ASME/JSME Thermal Engineering Summer Heat Transfer Conference, HT 2007 - Vancouver, BC, Canada Duration: Jul 8 2007 → Jul 12 2007 |

### Other

Other | 2007 ASME/JSME Thermal Engineering Summer Heat Transfer Conference, HT 2007 |
---|---|

Country | Canada |

City | Vancouver, BC |

Period | 7/8/07 → 7/12/07 |

### Fingerprint

### ASJC Scopus subject areas

- Electrical and Electronic Engineering
- Mechanical Engineering
- Condensed Matter Physics

### Cite this

*2007 Proceedings of the ASME/JSME Thermal Engineering Summer Heat Transfer Conference - HT 2007*(Vol. 2, pp. 303-312) https://doi.org/10.1115/HT2007-32468

**Optical resonance in dielectric micro-sphere for temperature measurement.** / Rahman, Anisur; Kumar, Sunil.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*2007 Proceedings of the ASME/JSME Thermal Engineering Summer Heat Transfer Conference - HT 2007.*vol. 2, pp. 303-312, 2007 ASME/JSME Thermal Engineering Summer Heat Transfer Conference, HT 2007, Vancouver, BC, Canada, 7/8/07. https://doi.org/10.1115/HT2007-32468

}

TY - GEN

T1 - Optical resonance in dielectric micro-sphere for temperature measurement

AU - Rahman, Anisur

AU - Kumar, Sunil

PY - 2007

Y1 - 2007

N2 - We describe the effect of Transverse Electric (TE) wave propagation in dielectric micro-spheres for optical resonances based on Whispering Gallery Mode (WGM). TE waves are characterized both theoretically and experimentally by considering the fact that the size parameter (pi times diameter divided by wavelength of light) of the micro-spheres is very large at optical wavelengths. Asymptotic expressions have been developed based on electromagnetic theory derivations at the large size parameter limits. The developed expressions for optical resonance condition of TE wave are very simple and can accurately characterize resonances in dielectric microspheres. The theoretical development is mathematically robust and significantly less complicated than existing approaches based on quantum physics presented in the literature. The theoretical result of size parameter for consecutive morphology dependent resonance (MDR) peaks are validated by experimental data obtained via this study using a tunable semiconductor laser and from the literature. The comparisons are shown to be very accurate for large size parameters. The quality factor of experimental resonance spectra observed in the laboratory is calculated approximately in the order of 104 which is sensitive enough to detect micro or nano level temperature changes in the surrounding medium. The sensitivity of the MDR temperature sensor is wavelength change of 10-9 meter for one degree centigrade change in temperature. This sensor could potentially be used for nano technology, Micro-Electro-Mechanical Systems (MEMS) devices, and biomedical applications.

AB - We describe the effect of Transverse Electric (TE) wave propagation in dielectric micro-spheres for optical resonances based on Whispering Gallery Mode (WGM). TE waves are characterized both theoretically and experimentally by considering the fact that the size parameter (pi times diameter divided by wavelength of light) of the micro-spheres is very large at optical wavelengths. Asymptotic expressions have been developed based on electromagnetic theory derivations at the large size parameter limits. The developed expressions for optical resonance condition of TE wave are very simple and can accurately characterize resonances in dielectric microspheres. The theoretical development is mathematically robust and significantly less complicated than existing approaches based on quantum physics presented in the literature. The theoretical result of size parameter for consecutive morphology dependent resonance (MDR) peaks are validated by experimental data obtained via this study using a tunable semiconductor laser and from the literature. The comparisons are shown to be very accurate for large size parameters. The quality factor of experimental resonance spectra observed in the laboratory is calculated approximately in the order of 104 which is sensitive enough to detect micro or nano level temperature changes in the surrounding medium. The sensitivity of the MDR temperature sensor is wavelength change of 10-9 meter for one degree centigrade change in temperature. This sensor could potentially be used for nano technology, Micro-Electro-Mechanical Systems (MEMS) devices, and biomedical applications.

UR - http://www.scopus.com/inward/record.url?scp=43749093916&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=43749093916&partnerID=8YFLogxK

U2 - 10.1115/HT2007-32468

DO - 10.1115/HT2007-32468

M3 - Conference contribution

SN - 0791842746

SN - 9780791842744

VL - 2

SP - 303

EP - 312

BT - 2007 Proceedings of the ASME/JSME Thermal Engineering Summer Heat Transfer Conference - HT 2007

ER -