Highly directional emission in stadium-cavity lasers

Susumu Shinohara, Takahisa Harayama, Hakan E. Türeci, Douglas A. Stone

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In two-dimensional microcavity lasers, as a way to extract highly directional emission, it has been proposed to deform the cavity shape smoothly from perfect circularity [1]. As a result, rays start to exhibit a variety of dynamics from integrable to strongly chaotic, which is tunable by the deformation. The ray picture has been providing a simple and intuitive method to explain experimental observations of emission directionality. For example, emission directionality has been associated with the existence of a periodic ray orbit with a particular geometry [2], drastic shape dependence of emission directionality has been successfully explained by the difference of phase space structure [3], and the far-field intensity patterns have been closely reproduced by ray-tracing simulations [4]. Among various cavity shapes the stadium is a simple geometry for which ray dynamics has been proven to become strongly chaotic [5]. That is, for almost all initial conditions, a ray trajectory explores the entire phase space uniformly. Even for such a strongly chaotic cavity, a ray model can generate highly directional emission patterns as a consequence of the openness of the cavity. Namely, strongly chaotic dynamics and highly directional emission are compatible, as was demonstrated by Schwefel, et al. [3] In this presentation, we report evidence for the ability of a ray model to describe the lasing states of the stadium-cavity lasers. Earlier work has focused on establishing a relationship between the ray model and a few quasi-bound state solutions of the linear wave equation without pumping or gain. In this case, however, there remains an intrinsic arbitrariness about which modes to choose, although plausibility argument can be made based on their Q values. Here we show that the solution of the full nonlinear lasing equations [6] for a stadium cavity, uniquely determined by the pumping conditions, exhibits highly directional emission pattern in good agreement with the ray model. Moreover, we reveal the property of cold-cavity modes that allows the robust appearance of the emission directionality in the lasing states.

Original languageEnglish
Title of host publication2006 International Conference on Transparent Optical Networks
Pages137
Number of pages1
Volume4
DOIs
Publication statusPublished - 2006
Externally publishedYes
Event2006 International Conference on Transparent Optical Networks, ICTON 2006 - Nottingham
Duration: 2006 Jun 182006 Jun 22

Other

Other2006 International Conference on Transparent Optical Networks, ICTON 2006
CityNottingham
Period06/6/1806/6/22

Fingerprint

Stadiums
Laser resonators
laser cavities
rays
cavities
Microcavities
Geometry
lasing
Ray tracing
Wave equations
Nonlinear equations
Orbits
Trajectories
pumping
Lasers
geometry
ray tracing
wave equations
far fields
trajectories

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics

Cite this

Shinohara, S., Harayama, T., Türeci, H. E., & Stone, D. A. (2006). Highly directional emission in stadium-cavity lasers. In 2006 International Conference on Transparent Optical Networks (Vol. 4, pp. 137). [4013879] https://doi.org/10.1109/ICTON.2006.248519

Highly directional emission in stadium-cavity lasers. / Shinohara, Susumu; Harayama, Takahisa; Türeci, Hakan E.; Stone, Douglas A.

2006 International Conference on Transparent Optical Networks. Vol. 4 2006. p. 137 4013879.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Shinohara, S, Harayama, T, Türeci, HE & Stone, DA 2006, Highly directional emission in stadium-cavity lasers. in 2006 International Conference on Transparent Optical Networks. vol. 4, 4013879, pp. 137, 2006 International Conference on Transparent Optical Networks, ICTON 2006, Nottingham, 06/6/18. https://doi.org/10.1109/ICTON.2006.248519
Shinohara S, Harayama T, Türeci HE, Stone DA. Highly directional emission in stadium-cavity lasers. In 2006 International Conference on Transparent Optical Networks. Vol. 4. 2006. p. 137. 4013879 https://doi.org/10.1109/ICTON.2006.248519
Shinohara, Susumu ; Harayama, Takahisa ; Türeci, Hakan E. ; Stone, Douglas A. / Highly directional emission in stadium-cavity lasers. 2006 International Conference on Transparent Optical Networks. Vol. 4 2006. pp. 137
@inproceedings{57a8fc5895304671b68535278512e5b2,
title = "Highly directional emission in stadium-cavity lasers",
abstract = "In two-dimensional microcavity lasers, as a way to extract highly directional emission, it has been proposed to deform the cavity shape smoothly from perfect circularity [1]. As a result, rays start to exhibit a variety of dynamics from integrable to strongly chaotic, which is tunable by the deformation. The ray picture has been providing a simple and intuitive method to explain experimental observations of emission directionality. For example, emission directionality has been associated with the existence of a periodic ray orbit with a particular geometry [2], drastic shape dependence of emission directionality has been successfully explained by the difference of phase space structure [3], and the far-field intensity patterns have been closely reproduced by ray-tracing simulations [4]. Among various cavity shapes the stadium is a simple geometry for which ray dynamics has been proven to become strongly chaotic [5]. That is, for almost all initial conditions, a ray trajectory explores the entire phase space uniformly. Even for such a strongly chaotic cavity, a ray model can generate highly directional emission patterns as a consequence of the openness of the cavity. Namely, strongly chaotic dynamics and highly directional emission are compatible, as was demonstrated by Schwefel, et al. [3] In this presentation, we report evidence for the ability of a ray model to describe the lasing states of the stadium-cavity lasers. Earlier work has focused on establishing a relationship between the ray model and a few quasi-bound state solutions of the linear wave equation without pumping or gain. In this case, however, there remains an intrinsic arbitrariness about which modes to choose, although plausibility argument can be made based on their Q values. Here we show that the solution of the full nonlinear lasing equations [6] for a stadium cavity, uniquely determined by the pumping conditions, exhibits highly directional emission pattern in good agreement with the ray model. Moreover, we reveal the property of cold-cavity modes that allows the robust appearance of the emission directionality in the lasing states.",
author = "Susumu Shinohara and Takahisa Harayama and T{\"u}reci, {Hakan E.} and Stone, {Douglas A.}",
year = "2006",
doi = "10.1109/ICTON.2006.248519",
language = "English",
isbn = "1424402360",
volume = "4",
pages = "137",
booktitle = "2006 International Conference on Transparent Optical Networks",

}

TY - GEN

T1 - Highly directional emission in stadium-cavity lasers

AU - Shinohara, Susumu

AU - Harayama, Takahisa

AU - Türeci, Hakan E.

AU - Stone, Douglas A.

PY - 2006

Y1 - 2006

N2 - In two-dimensional microcavity lasers, as a way to extract highly directional emission, it has been proposed to deform the cavity shape smoothly from perfect circularity [1]. As a result, rays start to exhibit a variety of dynamics from integrable to strongly chaotic, which is tunable by the deformation. The ray picture has been providing a simple and intuitive method to explain experimental observations of emission directionality. For example, emission directionality has been associated with the existence of a periodic ray orbit with a particular geometry [2], drastic shape dependence of emission directionality has been successfully explained by the difference of phase space structure [3], and the far-field intensity patterns have been closely reproduced by ray-tracing simulations [4]. Among various cavity shapes the stadium is a simple geometry for which ray dynamics has been proven to become strongly chaotic [5]. That is, for almost all initial conditions, a ray trajectory explores the entire phase space uniformly. Even for such a strongly chaotic cavity, a ray model can generate highly directional emission patterns as a consequence of the openness of the cavity. Namely, strongly chaotic dynamics and highly directional emission are compatible, as was demonstrated by Schwefel, et al. [3] In this presentation, we report evidence for the ability of a ray model to describe the lasing states of the stadium-cavity lasers. Earlier work has focused on establishing a relationship between the ray model and a few quasi-bound state solutions of the linear wave equation without pumping or gain. In this case, however, there remains an intrinsic arbitrariness about which modes to choose, although plausibility argument can be made based on their Q values. Here we show that the solution of the full nonlinear lasing equations [6] for a stadium cavity, uniquely determined by the pumping conditions, exhibits highly directional emission pattern in good agreement with the ray model. Moreover, we reveal the property of cold-cavity modes that allows the robust appearance of the emission directionality in the lasing states.

AB - In two-dimensional microcavity lasers, as a way to extract highly directional emission, it has been proposed to deform the cavity shape smoothly from perfect circularity [1]. As a result, rays start to exhibit a variety of dynamics from integrable to strongly chaotic, which is tunable by the deformation. The ray picture has been providing a simple and intuitive method to explain experimental observations of emission directionality. For example, emission directionality has been associated with the existence of a periodic ray orbit with a particular geometry [2], drastic shape dependence of emission directionality has been successfully explained by the difference of phase space structure [3], and the far-field intensity patterns have been closely reproduced by ray-tracing simulations [4]. Among various cavity shapes the stadium is a simple geometry for which ray dynamics has been proven to become strongly chaotic [5]. That is, for almost all initial conditions, a ray trajectory explores the entire phase space uniformly. Even for such a strongly chaotic cavity, a ray model can generate highly directional emission patterns as a consequence of the openness of the cavity. Namely, strongly chaotic dynamics and highly directional emission are compatible, as was demonstrated by Schwefel, et al. [3] In this presentation, we report evidence for the ability of a ray model to describe the lasing states of the stadium-cavity lasers. Earlier work has focused on establishing a relationship between the ray model and a few quasi-bound state solutions of the linear wave equation without pumping or gain. In this case, however, there remains an intrinsic arbitrariness about which modes to choose, although plausibility argument can be made based on their Q values. Here we show that the solution of the full nonlinear lasing equations [6] for a stadium cavity, uniquely determined by the pumping conditions, exhibits highly directional emission pattern in good agreement with the ray model. Moreover, we reveal the property of cold-cavity modes that allows the robust appearance of the emission directionality in the lasing states.

UR - http://www.scopus.com/inward/record.url?scp=34250688426&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34250688426&partnerID=8YFLogxK

U2 - 10.1109/ICTON.2006.248519

DO - 10.1109/ICTON.2006.248519

M3 - Conference contribution

SN - 1424402360

SN - 9781424402366

VL - 4

SP - 137

BT - 2006 International Conference on Transparent Optical Networks

ER -