The (Quasi)Normal Natural Mode description of the scattering process by dispersive photonic crystals

Bernhard J. Hoenders; Mario Bertolotti

doi:10.1117/12.663720

The (Quasi)Normal Natural Mode description of the scattering process by dispersive photonic crystals

Bernhard J. Hoenders^*, Mario Bertolotti

^*Corresponding author voor dit werk

Theorie van de Gecondenseerde Materie

Onderzoeksoutput › Academic › peer review

8 Citaten (Scopus)

Samenvatting

A scattering theory for finite photonic crystals in terms of the natural modes of the scatterer is developed. This theory generalizes the classical Hilbert-Schmidt type of bilinear expansions of the propagator to a bilinear expansion into natural modes. It is shown that the Sturm-Liouville type of expansions for dispersive media differs considerably from those for non-dispersive media, they are e.g. overcomplete.

Originele taal-2	English
Titel	Photonic Crystal Materials and Devices III (i.e. V)
Redacteuren	RM DeLaRue, P Viktorovitch, C Lopez, M Midrio
Plaats van productie	BELLINGHAM
Uitgeverij	SPIE - INT SOC OPTICAL ENGINEERING
Pagina's	F1821-F1821
Aantal pagina's	9
ISBN van geprinte versie	0-8194-6238-1
DOI's	https://doi.org/10.1117/12.663720
Status	Published - 2006
Evenement	Conference on Photonic Crystal Materials and Devices III (i.e.V) - , France Duur: 3-apr.-2006 → 6-apr.-2006

Publicatie series

Naam	PROCEEDINGS OF THE SOCIETY OF PHOTO-OPTICAL INSTRUMENTATION ENGINEERS (SPIE)
Uitgeverij	SPIE-INT SOC OPTICAL ENGINEERING
Volume	6182
ISSN van geprinte versie	0277-786X

Other

Other	Conference on Photonic Crystal Materials and Devices III (i.e.V)
Land/Regio	France
Periode	03/04/2006 → 06/04/2006

Toegang tot document

10.1117/12.663720

Handle.net

Permanente koppeling

Document onder embargo

The (Quasi)Normal Natural Mode description of the scattering process by
Final publisher's version, 556 KB
Kopie aanvragen

Citeer dit

Hoenders, B. J., & Bertolotti, M. (2006). The (Quasi)Normal Natural Mode description of the scattering process by dispersive photonic crystals. In RM. DeLaRue, P. Viktorovitch, C. Lopez, & M. Midrio (editors), Photonic Crystal Materials and Devices III (i.e. V) (blz. F1821-F1821). (PROCEEDINGS OF THE SOCIETY OF PHOTO-OPTICAL INSTRUMENTATION ENGINEERS (SPIE); Vol. 6182). SPIE - INT SOC OPTICAL ENGINEERING. https://doi.org/10.1117/12.663720

Hoenders, Bernhard J. ; Bertolotti, Mario. / The (Quasi)Normal Natural Mode description of the scattering process by dispersive photonic crystals. Photonic Crystal Materials and Devices III (i.e. V). redacteur / RM DeLaRue ; P Viktorovitch ; C Lopez ; M Midrio. BELLINGHAM : SPIE - INT SOC OPTICAL ENGINEERING, 2006. blz. F1821-F1821 (PROCEEDINGS OF THE SOCIETY OF PHOTO-OPTICAL INSTRUMENTATION ENGINEERS (SPIE)).

@inproceedings{a1c1c7fbac324ddca36d00c52a35647c,

title = "The (Quasi)Normal Natural Mode description of the scattering process by dispersive photonic crystals",

abstract = "A scattering theory for finite photonic crystals in terms of the natural modes of the scatterer is developed. This theory generalizes the classical Hilbert-Schmidt type of bilinear expansions of the propagator to a bilinear expansion into natural modes. It is shown that the Sturm-Liouville type of expansions for dispersive media differs considerably from those for non-dispersive media, they are e.g. overcomplete.",

keywords = "OPEN SYSTEMS, MEDIA, PROPAGATION, EXPANSION, COHERENCE, WAVES",

author = "Hoenders, {Bernhard J.} and Mario Bertolotti",

year = "2006",

doi = "10.1117/12.663720",

language = "English",

isbn = "0-8194-6238-1",

series = "PROCEEDINGS OF THE SOCIETY OF PHOTO-OPTICAL INSTRUMENTATION ENGINEERS (SPIE)",

publisher = "SPIE - INT SOC OPTICAL ENGINEERING",

pages = "F1821--F1821",

editor = "RM DeLaRue and P Viktorovitch and C Lopez and M Midrio",

booktitle = "Photonic Crystal Materials and Devices III (i.e. V)",

note = "Conference on Photonic Crystal Materials and Devices III (i.e.V) ; Conference date: 03-04-2006 Through 06-04-2006",

}

Hoenders, BJ & Bertolotti, M 2006, The (Quasi)Normal Natural Mode description of the scattering process by dispersive photonic crystals. in RM DeLaRue, P Viktorovitch, C Lopez & M Midrio (uitgave), Photonic Crystal Materials and Devices III (i.e. V). PROCEEDINGS OF THE SOCIETY OF PHOTO-OPTICAL INSTRUMENTATION ENGINEERS (SPIE), vol. 6182, SPIE - INT SOC OPTICAL ENGINEERING, BELLINGHAM, blz. F1821-F1821, Conference on Photonic Crystal Materials and Devices III (i.e.V), France, 03/04/2006. https://doi.org/10.1117/12.663720

The (Quasi)Normal Natural Mode description of the scattering process by dispersive photonic crystals. / Hoenders, Bernhard J.; Bertolotti, Mario.
Photonic Crystal Materials and Devices III (i.e. V). uitgave / RM DeLaRue; P Viktorovitch; C Lopez; M Midrio. BELLINGHAM: SPIE - INT SOC OPTICAL ENGINEERING, 2006. blz. F1821-F1821 (PROCEEDINGS OF THE SOCIETY OF PHOTO-OPTICAL INSTRUMENTATION ENGINEERS (SPIE); Vol. 6182).

Onderzoeksoutput › Academic › peer review

TY - GEN

T1 - The (Quasi)Normal Natural Mode description of the scattering process by dispersive photonic crystals

AU - Hoenders, Bernhard J.

AU - Bertolotti, Mario

PY - 2006

Y1 - 2006

N2 - A scattering theory for finite photonic crystals in terms of the natural modes of the scatterer is developed. This theory generalizes the classical Hilbert-Schmidt type of bilinear expansions of the propagator to a bilinear expansion into natural modes. It is shown that the Sturm-Liouville type of expansions for dispersive media differs considerably from those for non-dispersive media, they are e.g. overcomplete.

AB - A scattering theory for finite photonic crystals in terms of the natural modes of the scatterer is developed. This theory generalizes the classical Hilbert-Schmidt type of bilinear expansions of the propagator to a bilinear expansion into natural modes. It is shown that the Sturm-Liouville type of expansions for dispersive media differs considerably from those for non-dispersive media, they are e.g. overcomplete.

KW - OPEN SYSTEMS

KW - MEDIA

KW - PROPAGATION

KW - EXPANSION

KW - COHERENCE

KW - WAVES

U2 - 10.1117/12.663720

DO - 10.1117/12.663720

M3 - Conference contribution

SN - 0-8194-6238-1

T3 - PROCEEDINGS OF THE SOCIETY OF PHOTO-OPTICAL INSTRUMENTATION ENGINEERS (SPIE)

SP - F1821-F1821

BT - Photonic Crystal Materials and Devices III (i.e. V)

A2 - DeLaRue, RM

A2 - Viktorovitch, P

A2 - Lopez, C

A2 - Midrio, M

PB - SPIE - INT SOC OPTICAL ENGINEERING

CY - BELLINGHAM

T2 - Conference on Photonic Crystal Materials and Devices III (i.e.V)

Y2 - 3 April 2006 through 6 April 2006

ER -

Hoenders BJ, Bertolotti M. The (Quasi)Normal Natural Mode description of the scattering process by dispersive photonic crystals. In DeLaRue RM, Viktorovitch P, Lopez C, Midrio M, redacteurs, Photonic Crystal Materials and Devices III (i.e. V). BELLINGHAM: SPIE - INT SOC OPTICAL ENGINEERING. 2006. blz. F1821-F1821. (PROCEEDINGS OF THE SOCIETY OF PHOTO-OPTICAL INSTRUMENTATION ENGINEERS (SPIE)). doi: 10.1117/12.663720

The (Quasi)Normal Natural Mode description of the scattering process by dispersive photonic crystals

Samenvatting

Publicatie series

Other

Toegang tot document

Handle.net

Document onder embargo

Vingerafdruk

Citeer dit