Design of optical-waveguide homogeneous refracting lenses

Giancarlo C. Righini; Giuseppe Molesini

doi:10.1364/AO.27.004193

Applied Optics
Vol. 27,
Issue 20,
pp. 4193-4199
(1988)
•https://doi.org/10.1364/AO.27.004193

Design of optical-waveguide homogeneous refracting lenses

Giancarlo C. Righini and Giuseppe Molesini

Not Accessible

Your library or personal account may give you access

Get PDF
Email
Share
Get Citation
Copy Citation Text
Giancarlo C. Righini and Giuseppe Molesini, "Design of optical-waveguide homogeneous refracting lenses," Appl. Opt. 27, 4193-4199 (1988)

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

Abstract

A class of multielement homogeneous refracting lenses for optical waveguides is presented, and their design procedure is described. These lenses appear to be particularly suitable for use in integrated optical processors, as they can be fabricated by fully planar photolithography and reliable diffusion processes either in glass or in lithium niobate; their optical characteristics can be very good. For example, the design of an f/3.3 waveguide optical system, constituted by five elements, with no field curvature and very well corrected up to a 20° total field of view, is presented.

Full Article | PDF Article

More Like This

Design of thin-film Luneburg lenses for maximum focal length control

Ettore Colombini
Appl. Opt. 20(20) 3589-3593 (1981)

Hybrid diffractive-refractive lenses and achromats

Thomas Stone and Nicholas George
Appl. Opt. 27(14) 2960-2971 (1988)

Planar optical waveguide lens design

W. H. Southwell
Appl. Opt. 21(11) 1985-1988 (1982)

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 (7)

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 (13)

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

Number of optimum boundaries	f/No. (n = 1.025)a	f/No. (n = 1.055)a	f/No. (n = 1.075)a	f/No. (n = 1.055)b
2	26.05	11.87	8.71	11.82
4	13.07	5.98	4.40	5.91
6	8.77	4.04	2.99	3.94
8	6.64	3.09	2.30	2.95
10	5.37	2.53	1.90	2.36
12	4.54	2.18	1.65	1.97
14	3.95	1.93	1.49	1.69
16	3.53	1.77	1.38	1.48
18	3.21	1.65	1.31	1.31
20	2.96	1.57	1.28	1.18

Boundary number	Acircular profile	Thickness or spacing	Aperture extent
1	A(1)	2.5184	6.000
2	A(2)	0.1000	6.795
3	A(3)	2.2655	7.301
4	A(4)	0.1026	7.344
5	A(5)	2.1189	7.571
6	A(6)	0.1007	7.583
7	A(7)	1.6909	7.628
8	A(8)	0.1000	7.637
9	A(9)	1.5208	7.613
10	A(10)	14.7851	7.611

Acircular profile	C	K	A₁	A₂	A₃	A₄
A(1)	0.19711535	−0.870693	−1.58342E-04	−1.37038E-05	−1.13570E-06	−8.66650E-08
A(2)	0.01661429	7.134834	1.22867E-04	−7.16750E-06	−4.18346E-07	−5.69352E-08
A(3)	0.23205293	−0.483929	−1.21645E-04	3.44034E-06	6.83740E-09	5.76646E-09
A(4)	−0.04043416	−1.757974	1.20458E-04	−6.64720E-06	−4.88338E-07	−1.83230E-08
A(5)	0.15213004	−0.749013	−1.83748E-04	6.55771E-06	3.41905E-07	1.46308E-08
A(6)	−0.11390902	−0.480600	1.26227E-04	−5.89606E-06	−4.46363E-07	−4.04162E-09
A(7)	0.05227812	−7.007040	−2.68166E-04	3.24718E-06	1.87643E-07	−4.09655E-08
A(8)	−0.15494623	−1.011590	1.95828E-04	3.82871E-06	4.82955E-09	2.55122E-08
A(9)	0.02654507	−15.470116	−5.85876E-04	−1.34017E-05	2.28324E-07	−3.09476E-08
A(10)	−0.20063332	−1.454515	3.78866E-04	3.28301E-05	6.88517E-07	3.20898E-08

Conjugation	Infinity to focus
Refractive index	1.049
Reference wavelength	850 nm
Effective focal length	19.8518 mm
Front focal length	−14.1319 mm
Back focal length and image distance	14.7845 mm
Thickness occupancy	10.5177 mm
Length from first boundary to image	25.3022 mm
f/No.	3.3086
Effective pupil extent	6 mm
Stop location	At first refracting boundary
Exit pupil extent	8.4285 mm
Exit pupil location	−13.1022 mm
Semifield angle	10°
Paraxial image height	3.5004 mm

Number of optimum boundaries	f/No. (n = 1.025)a	f/No. (n = 1.055)a	f/No. (n = 1.075)a	f/No. (n = 1.055)b
2	26.05	11.87	8.71	11.82
4	13.07	5.98	4.40	5.91
6	8.77	4.04	2.99	3.94
8	6.64	3.09	2.30	2.95
10	5.37	2.53	1.90	2.36
12	4.54	2.18	1.65	1.97
14	3.95	1.93	1.49	1.69
16	3.53	1.77	1.38	1.48
18	3.21	1.65	1.31	1.31
20	2.96	1.57	1.28	1.18

Abstract

Cited By

Figures (7)

Tables (3)

Equations (13)

Applied Optics