An approximate formula for describing dispersion properties of optical dielectric slab and fiber waveguides

Mitsunobu Miyagi; Shigeo Nishida

doi:10.1364/JOSA.69.000291

Journal of the Optical Society of America
Vol. 69,
Issue 2,
pp. 291-293
(1979)
•https://doi.org/10.1364/JOSA.69.000291

An approximate formula for describing dispersion properties of optical dielectric slab and fiber waveguides

Mitsunobu Miyagi and Shigeo Nishida

Not Accessible

Your library or personal account may give you access

Get PDF
Email
Share
Get Citation
Copy Citation Text
Mitsunobu Miyagi and Shigeo Nishida, "An approximate formula for describing dispersion properties of optical dielectric slab and fiber waveguides," J. Opt. Soc. Am. 69, 291-293 (1979)

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

Abstract

A systematic and analytic approach is made to approximate dispersion properties of dielectric three-layered slab and rod waveguides. The explicit formula obtained yields errors less than 1% except very near the cutoff frequencies of guided modes. The errors diminish rapidly as the normalized frequency increases. The formula has the same expression for slab and fiber waveguides.

Full Article | PDF Article

More Like This

Further discussions of approximate formulas describing dispersion properties of dielectric optical waveguides

Mitsunobu Miyagi and Shigeo Nishida
J. Opt. Soc. Am. 69(10) 1373-1376 (1979)

Bent asymmetric dielectric slab waveguides: a detailed analysis

Yuetsu Takuma, Mitsunobu Miyagi, and Shojiro Kawakami
Appl. Opt. 20(13) 2291-2298 (1981)

Fundamental (HE₁₁) modes of graded optical fibers

Allan W. Snyder and Rowland A. Sammut
J. Opt. Soc. Am. 69(12) 1663-1671 (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 (3)

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 (3)

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 (24)

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

V	Eq. (10)	Eq. (11)
0.1	0.092%	0.83%
0.2	0.20	1.7
0.3	0.25	2.4
0.4	0.24	2.4
0.5	0.21	2.1
0.6	0.17	1.8
0.7	0.13	1.5
0.8	0.10	1.2
0.9	0.080	0.99
1.0	0.061	0.80
1.2	0.036	0.54
1.4	0.022	0.37
1.6	0.013	0.26
2.0	0.006	0.13
3.0	0.000–	0.035
4.0	0.000–	0.012

V	Ref. 1	Ref. 5	Ref. 6	Eq. (24)
1.0	9.7%	1.2%	2.1%	1.6%
1.5	6.2	0.54	1.9	0.93
2.0	4.6	1.4	1.7	0.44
2.5	3.5	1.5	0.64	0.23
3.0	2.7	1.3	0.30	0.14
3.5	2.2	1.1	1.0	0.086
4.0	1.8	0.97	1.4	0.058
5.0	1.3	0.76	1.7	0.030
6.0	0.94	0.63	1.5	0.017
7.0	0.73	0.56	0.87	0.011
8.0	0.58	0.51	0.13	0.008
9.0	0.47	0.48	0.68	0.005
10.0	0.39	0.46	1.6	0.004

	V	TE₀₁	EH₁₁	HE₁₂	TE₀₂
Ref. 1	3	0.97%
	4	0.30	2.4	7.7
	5	0.49	0.62	2.0
	6	0.49	0.11	0.80	3.3
	7	0.43	0.068	0.33	1.5
	8	0.38	0.14	0.12	0.79
	9	0.33	0.16	0.014	0.45
	10	0.29	0.16	0.038	0.27
Ref. 5	3	0.11
	4	0.44	0.068	0.66
	5	0.83	0.20	1.7
	6	1.1	0.43	1.7	0.004
	7	1.2	0.58	1.6	0.13
	8	1.4	0.70	1.6	0.21
	9	1.5	0.78	1.5	0.28
	10	1.5	0.84	1.5	0.33
Eq. (24)	3	0.54
	4	0.054	0.36	4.5
	5	0.008	0.13	0.80
	6	0.015	0.14	0.27	1.4
	7	0.014	0.11	0.12	0.42
	8	0.017	0.078	0.006	0.17
	9	0.011	0.060	0.034	0.082
	10	0.007	0.045	0.020	0.042

V	Eq. (10)	Eq. (11)
0.1	0.092%	0.83%
0.2	0.20	1.7
0.3	0.25	2.4
0.4	0.24	2.4
0.5	0.21	2.1
0.6	0.17	1.8
0.7	0.13	1.5
0.8	0.10	1.2
0.9	0.080	0.99
1.0	0.061	0.80
1.2	0.036	0.54
1.4	0.022	0.37
1.6	0.013	0.26
2.0	0.006	0.13
3.0	0.000–	0.035
4.0	0.000–	0.012

V	Ref. 1	Ref. 5	Ref. 6	Eq. (24)
1.0	9.7%	1.2%	2.1%	1.6%
1.5	6.2	0.54	1.9	0.93
2.0	4.6	1.4	1.7	0.44
2.5	3.5	1.5	0.64	0.23
3.0	2.7	1.3	0.30	0.14
3.5	2.2	1.1	1.0	0.086
4.0	1.8	0.97	1.4	0.058
5.0	1.3	0.76	1.7	0.030
6.0	0.94	0.63	1.5	0.017
7.0	0.73	0.56	0.87	0.011
8.0	0.58	0.51	0.13	0.008
9.0	0.47	0.48	0.68	0.005
10.0	0.39	0.46	1.6	0.004

Abstract

Cited By

Figures (3)

Tables (3)

Equations (24)

Journal of the Optical Society of America