Circular-harmonic vector analysis of a dielectric waveguide with a
cross-cut-circle cross section

Soon-Chul Yang; Han-Soo Kim; Hyung Jong Lee

doi:10.1364/AO.34.007705

Applied Optics
Vol. 34,
Issue 33,
pp. 7705-7713
(1995)
•https://doi.org/10.1364/AO.34.007705

Circular-harmonic vector analysis of a dielectric waveguide with a cross-cut-circle cross section

Soon-Chul Yang, Han-Soo Kim, and Hyung Jong Lee

Not Accessible

Your library or personal account may give you access

Get PDF
Email
Share
Get Citation
Copy Citation Text
Soon-Chul Yang, Han-Soo Kim, and Hyung Jong Lee, "Circular-harmonic vector analysis of a dielectric waveguide with a cross-cut-circle cross section," Appl. Opt. 34, 7705-7713 (1995)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Citation alert
Save article

Abstract

Vector-wave solutions of dielectric waveguides with cross-cut-circle cross sections, which are commonly produced by reflow of the waveguide core on a planar substrate at high temperature, are rigorously analyzed by the use of the point-matching method. As a numerical example, the propagation constant, electromagnetic-field distribution, and convergence of mode solutions for a semicircular waveguide are presented, and the properties of these modes are discussed.

Full Article | PDF Article

More Like This

Numerical analysis of a cylindrical dielectric waveguide with a periodically varying circular cross section

Kiyotoshi Yasumoto and Hiroshi Kubo
J. Opt. Soc. Am. A 7(11) 2069-2074 (1990)

Variational analysis of optical waveguides with rectangular cross section

S. Akiba and H. A. Haus
Appl. Opt. 21(5) 804-808 (1982)

Modes of dielectric waveguides of arbitrary cross sectional shape

L. Eyges, P. Gianino, and P. Wintersteiner
J. Opt. Soc. Am. 69(9) 1226-1235 (1979)

Previous Article Next Article

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 Optica member, or as an authorized user of your institution.

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

Figures (6)

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

Contact your librarian or system administrator
or
Login to access Optica 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 Optica member, or as an authorized user of your institution.

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

Equations (23)

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

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

Terms (N)	Normalized Propagation Constant P ²
Terms (N)	m = 1	m = 2	m = 3	m = 4	m = 5	m = 6
3	0.806	0.826	0.788	0.738	*	*
4	0.807	*	0.768	*	*	*
5	0.807	0.799	0.796	0.761	0.694	0.653
6	0.802	0.804	0.776	0.737	0.699	0.634
7	0.812	0.802	0.808	0.769	0.699	0.662
8	0.808	0.803	0.791	0.762	0.699	0.632
9	0.811	0.821	0.803	0.766	0.719	0.643
10	0.808	0.803	0.789	0.761	0.701	0.649
11	0.806	0.802	0.783	0.754	0.699	0.643
12	0.809	0.804	0.798	0.764	0.703	0.651
13	0.807	0.799	0.788	0.761	0.694	0.634
14	0.809	0.809	0.797	0.764	0.716	0.656
15	0.808	0.804	0.791	0.761	0.703	0.647
Var (%)
3	1.0
6	1.0	2.2	3.2
9	0.5	2.2	2.0	1.2	2.5	2.2
12	0.2	1.0	0.9	0.3	2.2	2.2
14	0.1	0.5	0.6	0.3	1.3	0.9

Terms (N)	Normalized Propagation Constant P ²
Terms (N)	m = 1	m = 2	m = 3	m = 4	m = 5	m = 6
3	0.124	0.148	0.136	0.123	*	0.166
4	0.127	*	0.147	*	*	*
5	0.132	0.143	0.159	0.159	0.076	0.184
6	0.112	0.139	0.129	*	0.079	0.168
7	0.143	0.156	0.169	0.201	0.111	0.199
8	0.131	0.156	0.149	0.156	0.112	0.161
9	0.139	0.191	0.169	0.181	0.133	0.204
10	0.132	0.157	0.156	0.157	0.107	0.187
11	0.121	0.149	0.142	0.112	0.099	0.173
12	0.138	0.161	0.166	0.177	0.116	0.188
13	0.127	0.133	0.147	0.148	0.091	0.152
14	0.137	0.177	0.166	0.172	0.132	0.203
15	0.132	0.161	0.156	0.157	0.113	0.186
Var (%)
3	3.1
6	3.1	5.8	4.0		5.4	5.2
9	1.8	5.8	2.7	6.9	4.2	5.2
12	1.1	4.4	1.9	2.9	4.1	5.1
14	0.5	1.6	1.0	1.5	1.9	1.7

Terms (N)	Normalized Propagation Constant P ²
Terms (N)	m = 1	m = 2	m = 3	m = 4	m = 5	m = 6
3	0.806	0.826	0.788	0.738	*	*
4	0.807	*	0.768	*	*	*
5	0.807	0.799	0.796	0.761	0.694	0.653
6	0.802	0.804	0.776	0.737	0.699	0.634
7	0.812	0.802	0.808	0.769	0.699	0.662
8	0.808	0.803	0.791	0.762	0.699	0.632
9	0.811	0.821	0.803	0.766	0.719	0.643
10	0.808	0.803	0.789	0.761	0.701	0.649
11	0.806	0.802	0.783	0.754	0.699	0.643
12	0.809	0.804	0.798	0.764	0.703	0.651
13	0.807	0.799	0.788	0.761	0.694	0.634
14	0.809	0.809	0.797	0.764	0.716	0.656
15	0.808	0.804	0.791	0.761	0.703	0.647
Var (%)
3	1.0
6	1.0	2.2	3.2
9	0.5	2.2	2.0	1.2	2.5	2.2
12	0.2	1.0	0.9	0.3	2.2	2.2
14	0.1	0.5	0.6	0.3	1.3	0.9

Terms (N)	Normalized Propagation Constant P ²
Terms (N)	m = 1	m = 2	m = 3	m = 4	m = 5	m = 6
3	0.124	0.148	0.136	0.123	*	0.166
4	0.127	*	0.147	*	*	*
5	0.132	0.143	0.159	0.159	0.076	0.184
6	0.112	0.139	0.129	*	0.079	0.168
7	0.143	0.156	0.169	0.201	0.111	0.199
8	0.131	0.156	0.149	0.156	0.112	0.161
9	0.139	0.191	0.169	0.181	0.133	0.204
10	0.132	0.157	0.156	0.157	0.107	0.187
11	0.121	0.149	0.142	0.112	0.099	0.173
12	0.138	0.161	0.166	0.177	0.116	0.188
13	0.127	0.133	0.147	0.148	0.091	0.152
14	0.137	0.177	0.166	0.172	0.132	0.203
15	0.132	0.161	0.156	0.157	0.113	0.186
Var (%)
3	3.1
6	3.1	5.8	4.0		5.4	5.2
9	1.8	5.8	2.7	6.9	4.2	5.2
12	1.1	4.4	1.9	2.9	4.1	5.1
14	0.5	1.6	1.0	1.5	1.9	1.7

Abstract

Cited By

Figures (6)

Tables (2)

Equations (23)

Applied Optics