Theory and Numerical Modelling of Parity-Time Symmetric Structures in Photonics: Boundary Integral Equation for Coupled Microresonator Structures View Full Text


Ontology type: schema:Chapter      Open Access: True


Chapter Info

DATE

2017-11-03

AUTHORS

S. Phang , A. Vukovic , G. Gradoni , P. D. Sewell , T. M. Benson , S. C. Creagh

ABSTRACT

The spectral behaviour and the real-time operation of Parity-Time (PT\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {PT}$$\end{document}) symmetric coupled resonators are investigated. A Boundary Integral Equation (BIE) model is developed to study these structures in the frequency domain. The impact of realistic gain/loss material properties on the operation of the PT\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {PT}$$\end{document}-symmetric coupled resonators is also investigated using the time-domain Transmission-Line Modelling (TLM) method. The BIE method is also used to study the behaviour of an array of PT-microresonator photonic molecules. More... »

PAGES

207-233

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-319-55438-9_7

DOI

http://dx.doi.org/10.1007/978-3-319-55438-9_7

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1092499605


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "about": [
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/09", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Engineering", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0905", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Civil Engineering", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "George Green Institute for Electromagnetics Research, University of Nottingham, Nottingham, UK", 
          "id": "http://www.grid.ac/institutes/grid.4563.4", 
          "name": [
            "Wave Modelling Research Group - School of Mathematical Sciences, University of Nottingham, Nottingham, UK", 
            "George Green Institute for Electromagnetics Research, University of Nottingham, Nottingham, UK"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Phang", 
        "givenName": "S.", 
        "id": "sg:person.011370031723.63", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011370031723.63"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "George Green Institute for Electromagnetics Research, University of Nottingham, Nottingham, UK", 
          "id": "http://www.grid.ac/institutes/grid.4563.4", 
          "name": [
            "George Green Institute for Electromagnetics Research, University of Nottingham, Nottingham, UK"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Vukovic", 
        "givenName": "A.", 
        "id": "sg:person.01334012177.14", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01334012177.14"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "George Green Institute for Electromagnetics Research, University of Nottingham, Nottingham, UK", 
          "id": "http://www.grid.ac/institutes/grid.4563.4", 
          "name": [
            "Wave Modelling Research Group - School of Mathematical Sciences, University of Nottingham, Nottingham, UK", 
            "George Green Institute for Electromagnetics Research, University of Nottingham, Nottingham, UK"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Gradoni", 
        "givenName": "G.", 
        "id": "sg:person.01354673265.10", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01354673265.10"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "George Green Institute for Electromagnetics Research, University of Nottingham, Nottingham, UK", 
          "id": "http://www.grid.ac/institutes/grid.4563.4", 
          "name": [
            "George Green Institute for Electromagnetics Research, University of Nottingham, Nottingham, UK"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Sewell", 
        "givenName": "P. D.", 
        "id": "sg:person.015464677622.99", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015464677622.99"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "George Green Institute for Electromagnetics Research, University of Nottingham, Nottingham, UK", 
          "id": "http://www.grid.ac/institutes/grid.4563.4", 
          "name": [
            "George Green Institute for Electromagnetics Research, University of Nottingham, Nottingham, UK"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Benson", 
        "givenName": "T. M.", 
        "id": "sg:person.01342057160.63", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01342057160.63"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Wave Modelling Research Group - School of Mathematical Sciences, University of Nottingham, Nottingham, UK", 
          "id": "http://www.grid.ac/institutes/grid.4563.4", 
          "name": [
            "Wave Modelling Research Group - School of Mathematical Sciences, University of Nottingham, Nottingham, UK"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Creagh", 
        "givenName": "S. C.", 
        "id": "sg:person.0730245113.59", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0730245113.59"
        ], 
        "type": "Person"
      }
    ], 
    "datePublished": "2017-11-03", 
    "datePublishedReg": "2017-11-03", 
    "description": "The spectral behaviour and the real-time operation of Parity-Time (PT\\documentclass[12pt]{minimal}\n\t\t\t\t\\usepackage{amsmath}\n\t\t\t\t\\usepackage{wasysym}\n\t\t\t\t\\usepackage{amsfonts}\n\t\t\t\t\\usepackage{amssymb}\n\t\t\t\t\\usepackage{amsbsy}\n\t\t\t\t\\usepackage{mathrsfs}\n\t\t\t\t\\usepackage{upgreek}\n\t\t\t\t\\setlength{\\oddsidemargin}{-69pt}\n\t\t\t\t\\begin{document}$$\\mathcal {PT}$$\\end{document}) symmetric coupled resonators are investigated. A Boundary Integral Equation (BIE) model is developed to study these structures in the frequency domain. The impact of realistic gain/loss material properties on the operation of the PT\\documentclass[12pt]{minimal}\n\t\t\t\t\\usepackage{amsmath}\n\t\t\t\t\\usepackage{wasysym}\n\t\t\t\t\\usepackage{amsfonts}\n\t\t\t\t\\usepackage{amssymb}\n\t\t\t\t\\usepackage{amsbsy}\n\t\t\t\t\\usepackage{mathrsfs}\n\t\t\t\t\\usepackage{upgreek}\n\t\t\t\t\\setlength{\\oddsidemargin}{-69pt}\n\t\t\t\t\\begin{document}$$\\mathcal {PT}$$\\end{document}-symmetric coupled resonators is also investigated using the time-domain Transmission-Line Modelling (TLM) method. The BIE method is also used to study the behaviour of an array of PT-microresonator photonic molecules.", 
    "editor": [
      {
        "familyName": "Agrawal", 
        "givenName": "Arti", 
        "type": "Person"
      }, 
      {
        "familyName": "Benson", 
        "givenName": "Trevor", 
        "type": "Person"
      }, 
      {
        "familyName": "De La Rue", 
        "givenName": "Richard M.", 
        "type": "Person"
      }, 
      {
        "familyName": "Wurtz", 
        "givenName": "Gregory A.", 
        "type": "Person"
      }
    ], 
    "genre": "chapter", 
    "id": "sg:pub.10.1007/978-3-319-55438-9_7", 
    "isAccessibleForFree": true, 
    "isPartOf": {
      "isbn": [
        "978-3-319-55437-2", 
        "978-3-319-55438-9"
      ], 
      "name": "Recent Trends in Computational Photonics", 
      "type": "Book"
    }, 
    "keywords": [
      "parity-time symmetric structures", 
      "photonic molecules", 
      "microresonator structure", 
      "transmission line modelling method", 
      "Parity-Time", 
      "spectral behavior", 
      "resonator", 
      "symmetric structure", 
      "boundary integral equation model", 
      "photonics", 
      "structure", 
      "frequency domain", 
      "material properties", 
      "array", 
      "real-time operation", 
      "integral equation model", 
      "properties", 
      "numerical modelling", 
      "theory", 
      "BIE method", 
      "boundary integral equations", 
      "molecules", 
      "equations", 
      "integral equations", 
      "operation", 
      "modelling method", 
      "method", 
      "behavior", 
      "equation model", 
      "model", 
      "modelling", 
      "domain", 
      "impact"
    ], 
    "name": "Theory and Numerical Modelling of Parity-Time Symmetric Structures in Photonics: Boundary Integral Equation for Coupled Microresonator Structures", 
    "pagination": "207-233", 
    "productId": [
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1092499605"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/978-3-319-55438-9_7"
        ]
      }
    ], 
    "publisher": {
      "name": "Springer Nature", 
      "type": "Organisation"
    }, 
    "sameAs": [
      "https://doi.org/10.1007/978-3-319-55438-9_7", 
      "https://app.dimensions.ai/details/publication/pub.1092499605"
    ], 
    "sdDataset": "chapters", 
    "sdDatePublished": "2022-12-01T06:53", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-springernature-scigraph/baseset/20221201/entities/gbq_results/chapter/chapter_417.jsonl", 
    "type": "Chapter", 
    "url": "https://doi.org/10.1007/978-3-319-55438-9_7"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/978-3-319-55438-9_7'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/978-3-319-55438-9_7'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/978-3-319-55438-9_7'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/978-3-319-55438-9_7'


 

This table displays all metadata directly associated to this object as RDF triples.

144 TRIPLES      22 PREDICATES      57 URIs      50 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/978-3-319-55438-9_7 schema:about anzsrc-for:09
2 anzsrc-for:0905
3 schema:author N74016178760149d180261d1feeb2a16c
4 schema:datePublished 2017-11-03
5 schema:datePublishedReg 2017-11-03
6 schema:description The spectral behaviour and the real-time operation of Parity-Time (PT\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {PT}$$\end{document}) symmetric coupled resonators are investigated. A Boundary Integral Equation (BIE) model is developed to study these structures in the frequency domain. The impact of realistic gain/loss material properties on the operation of the PT\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {PT}$$\end{document}-symmetric coupled resonators is also investigated using the time-domain Transmission-Line Modelling (TLM) method. The BIE method is also used to study the behaviour of an array of PT-microresonator photonic molecules.
7 schema:editor Nbeb069736e4c4815bf5764e3c0e85277
8 schema:genre chapter
9 schema:isAccessibleForFree true
10 schema:isPartOf Nfabd15f670e94e95a3334252c1e4eb6e
11 schema:keywords BIE method
12 Parity-Time
13 array
14 behavior
15 boundary integral equation model
16 boundary integral equations
17 domain
18 equation model
19 equations
20 frequency domain
21 impact
22 integral equation model
23 integral equations
24 material properties
25 method
26 microresonator structure
27 model
28 modelling
29 modelling method
30 molecules
31 numerical modelling
32 operation
33 parity-time symmetric structures
34 photonic molecules
35 photonics
36 properties
37 real-time operation
38 resonator
39 spectral behavior
40 structure
41 symmetric structure
42 theory
43 transmission line modelling method
44 schema:name Theory and Numerical Modelling of Parity-Time Symmetric Structures in Photonics: Boundary Integral Equation for Coupled Microresonator Structures
45 schema:pagination 207-233
46 schema:productId N2b1261f1610d4b3ebc7f69cb61e761c1
47 N799e9dd1fed84a25b2043523bfebd640
48 schema:publisher Nd13a297714dd423597333b39486dfb18
49 schema:sameAs https://app.dimensions.ai/details/publication/pub.1092499605
50 https://doi.org/10.1007/978-3-319-55438-9_7
51 schema:sdDatePublished 2022-12-01T06:53
52 schema:sdLicense https://scigraph.springernature.com/explorer/license/
53 schema:sdPublisher N75190a7e1e4d4c199ee36c813c2f81f8
54 schema:url https://doi.org/10.1007/978-3-319-55438-9_7
55 sgo:license sg:explorer/license/
56 sgo:sdDataset chapters
57 rdf:type schema:Chapter
58 N087e422c310b42f59eb74c424b660cb1 rdf:first N722c01e990d74ce49a7111d25686aa1d
59 rdf:rest rdf:nil
60 N093cfbc42fdd41bf9a8c3fc6d7f888d5 rdf:first sg:person.01354673265.10
61 rdf:rest N7d009eee4ed9476bb35dabfc3613bf3e
62 N1cbc409840f544bbb11f28d957fa7d17 rdf:first N3c8b41fd0aaf49d3812cfa8a2ea442bb
63 rdf:rest Ndd8fbfaa2ae9413eb9abf85800b7f694
64 N2653ac6903d94a1dbc371ffc27a09e3b schema:familyName Agrawal
65 schema:givenName Arti
66 rdf:type schema:Person
67 N2b1261f1610d4b3ebc7f69cb61e761c1 schema:name dimensions_id
68 schema:value pub.1092499605
69 rdf:type schema:PropertyValue
70 N3c8b41fd0aaf49d3812cfa8a2ea442bb schema:familyName Benson
71 schema:givenName Trevor
72 rdf:type schema:Person
73 N5ca2265641a243adb9caedb7829d0875 schema:familyName De La Rue
74 schema:givenName Richard M.
75 rdf:type schema:Person
76 N722c01e990d74ce49a7111d25686aa1d schema:familyName Wurtz
77 schema:givenName Gregory A.
78 rdf:type schema:Person
79 N74016178760149d180261d1feeb2a16c rdf:first sg:person.011370031723.63
80 rdf:rest N8486b2d9858e4e02b20a4212c81e76b6
81 N75190a7e1e4d4c199ee36c813c2f81f8 schema:name Springer Nature - SN SciGraph project
82 rdf:type schema:Organization
83 N799e9dd1fed84a25b2043523bfebd640 schema:name doi
84 schema:value 10.1007/978-3-319-55438-9_7
85 rdf:type schema:PropertyValue
86 N7d009eee4ed9476bb35dabfc3613bf3e rdf:first sg:person.015464677622.99
87 rdf:rest Nd0bf57d505ca49c6aaed5193525f6493
88 N8486b2d9858e4e02b20a4212c81e76b6 rdf:first sg:person.01334012177.14
89 rdf:rest N093cfbc42fdd41bf9a8c3fc6d7f888d5
90 N960051a1432e4e8081a7e6d777110cf0 rdf:first sg:person.0730245113.59
91 rdf:rest rdf:nil
92 Nbeb069736e4c4815bf5764e3c0e85277 rdf:first N2653ac6903d94a1dbc371ffc27a09e3b
93 rdf:rest N1cbc409840f544bbb11f28d957fa7d17
94 Nd0bf57d505ca49c6aaed5193525f6493 rdf:first sg:person.01342057160.63
95 rdf:rest N960051a1432e4e8081a7e6d777110cf0
96 Nd13a297714dd423597333b39486dfb18 schema:name Springer Nature
97 rdf:type schema:Organisation
98 Ndd8fbfaa2ae9413eb9abf85800b7f694 rdf:first N5ca2265641a243adb9caedb7829d0875
99 rdf:rest N087e422c310b42f59eb74c424b660cb1
100 Nfabd15f670e94e95a3334252c1e4eb6e schema:isbn 978-3-319-55437-2
101 978-3-319-55438-9
102 schema:name Recent Trends in Computational Photonics
103 rdf:type schema:Book
104 anzsrc-for:09 schema:inDefinedTermSet anzsrc-for:
105 schema:name Engineering
106 rdf:type schema:DefinedTerm
107 anzsrc-for:0905 schema:inDefinedTermSet anzsrc-for:
108 schema:name Civil Engineering
109 rdf:type schema:DefinedTerm
110 sg:person.011370031723.63 schema:affiliation grid-institutes:grid.4563.4
111 schema:familyName Phang
112 schema:givenName S.
113 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011370031723.63
114 rdf:type schema:Person
115 sg:person.01334012177.14 schema:affiliation grid-institutes:grid.4563.4
116 schema:familyName Vukovic
117 schema:givenName A.
118 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01334012177.14
119 rdf:type schema:Person
120 sg:person.01342057160.63 schema:affiliation grid-institutes:grid.4563.4
121 schema:familyName Benson
122 schema:givenName T. M.
123 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01342057160.63
124 rdf:type schema:Person
125 sg:person.01354673265.10 schema:affiliation grid-institutes:grid.4563.4
126 schema:familyName Gradoni
127 schema:givenName G.
128 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01354673265.10
129 rdf:type schema:Person
130 sg:person.015464677622.99 schema:affiliation grid-institutes:grid.4563.4
131 schema:familyName Sewell
132 schema:givenName P. D.
133 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015464677622.99
134 rdf:type schema:Person
135 sg:person.0730245113.59 schema:affiliation grid-institutes:grid.4563.4
136 schema:familyName Creagh
137 schema:givenName S. C.
138 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0730245113.59
139 rdf:type schema:Person
140 grid-institutes:grid.4563.4 schema:alternateName George Green Institute for Electromagnetics Research, University of Nottingham, Nottingham, UK
141 Wave Modelling Research Group - School of Mathematical Sciences, University of Nottingham, Nottingham, UK
142 schema:name George Green Institute for Electromagnetics Research, University of Nottingham, Nottingham, UK
143 Wave Modelling Research Group - School of Mathematical Sciences, University of Nottingham, Nottingham, UK
144 rdf:type schema:Organization
 




Preview window. Press ESC to close (or click here)


...