Time-domain analysis of bandgap characteristics of two-dimensional periodic structures by use of a source-model technique

Alon Ludwig; Yehuda Leviatan

doi:10.1364/JOSAA.25.000437

Time-domain analysis of bandgap characteristics of two-dimensional periodic structures by use of a source-model technique

Alon Ludwig and Yehuda Leviatan

Journal of the Optical Society of America A
Vol. 25,
Issue 2,
pp. 437-451
(2008)
•https://doi.org/10.1364/JOSAA.25.000437

Get Citation
Copy Citation Text
Alon Ludwig and Yehuda Leviatan, "Time-domain analysis of bandgap characteristics of two-dimensional periodic structures by use of a source-model technique," J. Opt. Soc. Am. A 25, 437-451 (2008)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Get PDF (888 KB)
Set citation alerts
Save article

Related Topics
Table of Contents Category
- Diffraction and Gratings
Optics & Photonics Topics
?

The topics in this list come from the OSA Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Diffraction gratings (050.1950)
- Numerical approximation and analysis (000.4430)
- Bragg reflectors (230.1480)
- Electromagnetic optics (260.2110)
- Scattering (290.0290)
- Pulses (320.5550)

About this Article
History
- Original Manuscript: June 4, 2007
- Revised Manuscript: November 21, 2007
- Manuscript Accepted: November 25, 2007
- Published: January 28, 2008

Not Accessible

Your account may give you access

Abstract

We introduce a time-domain source-model technique for analysis of two-dimensional, transverse-magnetic, plane-wave scattering by a photonic crystal slab composed of a finite number of identical layers, each comprising a linear periodic array of dielectric cylinders. The proposed technique takes advantage of the periodicity of the slab by solving the problem within a unit cell of the periodic structure. A spectral analysis of the temporal behavior of the fields scattered by the slab shows a clear agreement between frequency bands where the spectral density of the transmitted energy is low and the bandgaps of the corresponding two-dimensionally infinite periodic structure. The effect of the bandwidth of the incident pulse and its center frequency on the manner it is transmitted through and reflected by the slab is studied via numerical examples.

Full Article | PDF Article

OSA Recommended Articles

Analysis of bandgap characteristics of two-dimensional periodic structures by using the source-model technique

Alon Ludwig and Yehuda Leviatan
J. Opt. Soc. Am. A 20(8) 1553-1562 (2003)

Analysis of arbitrary defects in photonic crystals by use of the source-model technique

Alon Ludwig and Yehuda Leviatan
J. Opt. Soc. Am. A 21(7) 1334-1343 (2004)

Photonic bandgaps of different unit cells in the basic structural unit of germanium-based two-dimensional decagonal photonic quasi-crystals

Jianjun Liu, Zhigang Fan, Haosu Xiao, Wang Zhang, Chunying Guan, and Libo Yuan
Appl. Opt. 50(24) 4868-4872 (2011)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (10)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Tables (2)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (82)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Parameter	$ϕ^{inc}$
Parameter	0°	30°	60°
$Δ t$	$Δ t_{0} ∕ 11$	$Δ t_{0} ∕ 11.69$	$Δ t_{0} ∕ 11.04$
$i_{F}$	0	2	3
$N_{samp}$	–	15	15
$N_{SV}$	–	4	4

Parameter	$δ_{BW}$
Parameter	0.7071	0.5	0.25	0.125
$N_{int}$	11	9	9	8
$r_{int}$	$0.65 a$	$0.62 a$	$0.6 a$	$0.57 a$
$N_{ext}$	21	19	18	17
$r_{ext}$	$1.36 a$	$1.39 a$	$1.41 a$	$1.43 a$

Parameter	$ϕ^{inc}$
Parameter	0°	30°	60°
$Δ t$	$Δ t_{0} ∕ 11$	$Δ t_{0} ∕ 11.69$	$Δ t_{0} ∕ 11.04$
$i_{F}$	0	2	3
$N_{samp}$	–	15	15
$N_{SV}$	–	4	4

Parameter	$δ_{BW}$
Parameter	0.7071	0.5	0.25	0.125
$N_{int}$	11	9	9	8
$r_{int}$	$0.65 a$	$0.62 a$	$0.6 a$	$0.57 a$
$N_{ext}$	21	19	18	17
$r_{ext}$	$1.36 a$	$1.39 a$	$1.41 a$	$1.43 a$

Abstract

References

Cited By

Figures (10)

Tables (2)

Equations (82)

Metrics

Login or Create Account