Closed-Form Expressions for the Radiation Properties of Nanoloops in the Terahertz, Infrared and Optical Regimes

Bing Qian Lu, Jogender Nagar, Taiwei Yue, Mario F. Pantoja, Douglas H. Werner

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

Since the pioneering work of Heinrich Hertz, perfect-electric conductor (PEC) loop antennas for RF applications have been studied extensively. Meanwhile, nanoloops are promising in the optical regime for their applications in a wide range of emerging technologies. Unfortunately, analytical expressions for the radiation properties of conducting loops have not been extended to the optical regime. This paper presents closed-form expressions for the electric fields, total radiated power, directivity, and gain for thin-wire nanoloops operating in the terahertz, infrared and optical regimes. This is accomplished by extending the formulation for PEC loops to include the effects of dispersion and loss. The expressions derived for a gold nanoloop are implemented and the results agree well with full-wave computational simulations, but with a speed increase of more than 300\times . This allows the scientist or engineer to quickly prototype designs and gain a deeper understanding of the underlying physics. Moreover, through rapid numerical experimentation, these closed-form expressions made possible the discovery that broadband superdirectivity occurs naturally for nanoloops of a specific size and material composition. This is an unexpected and potentially transformative result that does not occur for PEC loops. Additionally, the Appendices give useful guidelines on how to efficiently compute the required integrals.

Original languageEnglish (US)
Article number7728022
Pages (from-to)121-133
Number of pages13
JournalIEEE Transactions on Antennas and Propagation
Volume65
Issue number1
DOIs
StatePublished - Jan 2017

Fingerprint

Electric conductors
electric conductors
Infrared radiation
Radiation
radiation
Loop antennas
loop antennas
experimentation
directivity
Physics
Gold
Electric fields
Wire
engineers
Engineers
emerging
prototypes
wire
gold
broadband

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

@article{da6fff3717c5405ebbaf0de782454c2c,
title = "Closed-Form Expressions for the Radiation Properties of Nanoloops in the Terahertz, Infrared and Optical Regimes",
abstract = "Since the pioneering work of Heinrich Hertz, perfect-electric conductor (PEC) loop antennas for RF applications have been studied extensively. Meanwhile, nanoloops are promising in the optical regime for their applications in a wide range of emerging technologies. Unfortunately, analytical expressions for the radiation properties of conducting loops have not been extended to the optical regime. This paper presents closed-form expressions for the electric fields, total radiated power, directivity, and gain for thin-wire nanoloops operating in the terahertz, infrared and optical regimes. This is accomplished by extending the formulation for PEC loops to include the effects of dispersion and loss. The expressions derived for a gold nanoloop are implemented and the results agree well with full-wave computational simulations, but with a speed increase of more than 300\times . This allows the scientist or engineer to quickly prototype designs and gain a deeper understanding of the underlying physics. Moreover, through rapid numerical experimentation, these closed-form expressions made possible the discovery that broadband superdirectivity occurs naturally for nanoloops of a specific size and material composition. This is an unexpected and potentially transformative result that does not occur for PEC loops. Additionally, the Appendices give useful guidelines on how to efficiently compute the required integrals.",
author = "Lu, {Bing Qian} and Jogender Nagar and Taiwei Yue and Pantoja, {Mario F.} and Werner, {Douglas H.}",
year = "2017",
month = "1",
doi = "10.1109/TAP.2016.2624150",
language = "English (US)",
volume = "65",
pages = "121--133",
journal = "IEEE Transactions on Antennas and Propagation",
issn = "0018-926X",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "1",

}

Closed-Form Expressions for the Radiation Properties of Nanoloops in the Terahertz, Infrared and Optical Regimes. / Lu, Bing Qian; Nagar, Jogender; Yue, Taiwei; Pantoja, Mario F.; Werner, Douglas H.

In: IEEE Transactions on Antennas and Propagation, Vol. 65, No. 1, 7728022, 01.2017, p. 121-133.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Closed-Form Expressions for the Radiation Properties of Nanoloops in the Terahertz, Infrared and Optical Regimes

AU - Lu, Bing Qian

AU - Nagar, Jogender

AU - Yue, Taiwei

AU - Pantoja, Mario F.

AU - Werner, Douglas H.

PY - 2017/1

Y1 - 2017/1

N2 - Since the pioneering work of Heinrich Hertz, perfect-electric conductor (PEC) loop antennas for RF applications have been studied extensively. Meanwhile, nanoloops are promising in the optical regime for their applications in a wide range of emerging technologies. Unfortunately, analytical expressions for the radiation properties of conducting loops have not been extended to the optical regime. This paper presents closed-form expressions for the electric fields, total radiated power, directivity, and gain for thin-wire nanoloops operating in the terahertz, infrared and optical regimes. This is accomplished by extending the formulation for PEC loops to include the effects of dispersion and loss. The expressions derived for a gold nanoloop are implemented and the results agree well with full-wave computational simulations, but with a speed increase of more than 300\times . This allows the scientist or engineer to quickly prototype designs and gain a deeper understanding of the underlying physics. Moreover, through rapid numerical experimentation, these closed-form expressions made possible the discovery that broadband superdirectivity occurs naturally for nanoloops of a specific size and material composition. This is an unexpected and potentially transformative result that does not occur for PEC loops. Additionally, the Appendices give useful guidelines on how to efficiently compute the required integrals.

AB - Since the pioneering work of Heinrich Hertz, perfect-electric conductor (PEC) loop antennas for RF applications have been studied extensively. Meanwhile, nanoloops are promising in the optical regime for their applications in a wide range of emerging technologies. Unfortunately, analytical expressions for the radiation properties of conducting loops have not been extended to the optical regime. This paper presents closed-form expressions for the electric fields, total radiated power, directivity, and gain for thin-wire nanoloops operating in the terahertz, infrared and optical regimes. This is accomplished by extending the formulation for PEC loops to include the effects of dispersion and loss. The expressions derived for a gold nanoloop are implemented and the results agree well with full-wave computational simulations, but with a speed increase of more than 300\times . This allows the scientist or engineer to quickly prototype designs and gain a deeper understanding of the underlying physics. Moreover, through rapid numerical experimentation, these closed-form expressions made possible the discovery that broadband superdirectivity occurs naturally for nanoloops of a specific size and material composition. This is an unexpected and potentially transformative result that does not occur for PEC loops. Additionally, the Appendices give useful guidelines on how to efficiently compute the required integrals.

UR - http://www.scopus.com/inward/record.url?scp=85009061144&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85009061144&partnerID=8YFLogxK

U2 - 10.1109/TAP.2016.2624150

DO - 10.1109/TAP.2016.2624150

M3 - Article

AN - SCOPUS:85009061144

VL - 65

SP - 121

EP - 133

JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

SN - 0018-926X

IS - 1

M1 - 7728022

ER -