Generalized sub–Schawlow-Townes laser linewidths via material dispersion
A recent S-matrix-based theory of the quantum-limited linewidth, which is applicable to general lasers, including spatially nonuniform laser cavities operating above threshold, is analyzed in various limits. For broadband gain, a simple interpretation of the Petermann and bad-cavity factors is prese...
Saved in:
Main Authors: | , , , |
---|---|
Other Authors: | |
Format: | Article |
Language: | English |
Published: |
2014
|
Subjects: | |
Online Access: | https://hdl.handle.net/10356/104117 http://hdl.handle.net/10220/19515 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Institution: | Nanyang Technological University |
Language: | English |
id |
sg-ntu-dr.10356-104117 |
---|---|
record_format |
dspace |
spelling |
sg-ntu-dr.10356-1041172023-02-28T19:44:32Z Generalized sub–Schawlow-Townes laser linewidths via material dispersion Pillay, Jason Cornelius Natsume, Yuki Stone, A. Douglas Chong, Y. D. School of Physical and Mathematical Sciences DRNTU::Science::Physics::Optics and light A recent S-matrix-based theory of the quantum-limited linewidth, which is applicable to general lasers, including spatially nonuniform laser cavities operating above threshold, is analyzed in various limits. For broadband gain, a simple interpretation of the Petermann and bad-cavity factors is presented in terms of geometric relations between the zeros and poles of the S matrix. When there is substantial dispersion, on the frequency scale of the cavity lifetime, the theory yields a generalization of the bad-cavity factor, which was previously derived for spatially uniform one-dimensional lasers. This effect can lead to sub–Schawlow-Townes linewidths in lasers with very narrow gain widths. We derive a formula for the linewidth in terms of the lasing mode functions, which has accuracy comparable to the previous formula involving the residue of the lasing pole. These results for the quantum-limited linewidth are valid even in the regime of strong line pulling and spatial hole burning, where the linewidth cannot be factorized into independent Petermann and bad-cavity factors. Published version 2014-06-03T02:49:37Z 2019-12-06T21:26:49Z 2014-06-03T02:49:37Z 2019-12-06T21:26:49Z 2014 2014 Journal Article Pillay, J. C., Natsume, Y., Stone, A. D., & Chong, Y. D. (2014). Generalized sub–Schawlow-Townes laser linewidths via material dispersion. Physical Review A, 89(3), 033840-. 1050-2947 https://hdl.handle.net/10356/104117 http://hdl.handle.net/10220/19515 10.1103/PhysRevA.89.033840 en Physical review A © 2014 American Physical Society. This paper was published in Physical Review A and is made available as an electronic reprint (preprint) with permission of American Physical Society. The paper can be found at the following official DOI: http://dx.doi.org/10.1103/PhysRevA.89.033840. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law. application/pdf |
institution |
Nanyang Technological University |
building |
NTU Library |
continent |
Asia |
country |
Singapore Singapore |
content_provider |
NTU Library |
collection |
DR-NTU |
language |
English |
topic |
DRNTU::Science::Physics::Optics and light |
spellingShingle |
DRNTU::Science::Physics::Optics and light Pillay, Jason Cornelius Natsume, Yuki Stone, A. Douglas Chong, Y. D. Generalized sub–Schawlow-Townes laser linewidths via material dispersion |
description |
A recent S-matrix-based theory of the quantum-limited linewidth, which is applicable to general lasers, including spatially nonuniform laser cavities operating above threshold, is analyzed in various limits. For broadband gain, a simple interpretation of the Petermann and bad-cavity factors is presented in terms of geometric relations between the zeros and poles of the S matrix. When there is substantial dispersion, on the frequency scale of the cavity lifetime, the theory yields a generalization of the bad-cavity factor, which was previously derived for spatially uniform one-dimensional lasers. This effect can lead to sub–Schawlow-Townes linewidths in lasers with very narrow gain widths. We derive a formula for the linewidth in terms of the lasing mode functions, which has accuracy comparable to the previous formula involving the residue of the lasing pole. These results for the quantum-limited linewidth are valid even in the regime of strong line pulling and spatial hole burning, where the linewidth cannot be factorized into independent Petermann and bad-cavity factors. |
author2 |
School of Physical and Mathematical Sciences |
author_facet |
School of Physical and Mathematical Sciences Pillay, Jason Cornelius Natsume, Yuki Stone, A. Douglas Chong, Y. D. |
format |
Article |
author |
Pillay, Jason Cornelius Natsume, Yuki Stone, A. Douglas Chong, Y. D. |
author_sort |
Pillay, Jason Cornelius |
title |
Generalized sub–Schawlow-Townes laser linewidths via material dispersion |
title_short |
Generalized sub–Schawlow-Townes laser linewidths via material dispersion |
title_full |
Generalized sub–Schawlow-Townes laser linewidths via material dispersion |
title_fullStr |
Generalized sub–Schawlow-Townes laser linewidths via material dispersion |
title_full_unstemmed |
Generalized sub–Schawlow-Townes laser linewidths via material dispersion |
title_sort |
generalized sub–schawlow-townes laser linewidths via material dispersion |
publishDate |
2014 |
url |
https://hdl.handle.net/10356/104117 http://hdl.handle.net/10220/19515 |
_version_ |
1759858082808070144 |