Two-Surface Refracting Systems with Zero Third-Order Spherical Aberration

Orestes N. Stavroudis

doi:10.1364/JOSA.59.000288

Journal of the Optical Society of America
Vol. 59,
Issue 3,
pp. 288-293
(1969)
•https://doi.org/10.1364/JOSA.59.000288

Two-Surface Refracting Systems with Zero Third-Order Spherical Aberration

Orestes N. Stavroudis

Not Accessible

Your library or personal account may give you access

Get PDF
Email
Share
Get Citation
Copy Citation Text
Orestes N. Stavroudis, "Two-Surface Refracting Systems with Zero Third-Order Spherical Aberration," J. Opt. Soc. Am. 59, 288-293 (1969)

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

Abstract

An analysis is made of refracting systems consisting of two spherical surfaces. Solutions are found for those systems having zero third-order spherical aberration. These are in the form of four one-parameter families of functions. Expressions for third-order coma and astigmatism are derived. Parameter domains for useful solutions are indicated. A method for applying these results to optical design is described.

Full Article | PDF Article

More Like This

Two-Mirror Systems with Spherical Reflecting Surfaces

Orestes N. Stavroudis
J. Opt. Soc. Am. 57(6) 741-748 (1967)

Third-Order Aberrations of Inhomogeneous Lenses

P. J. Sands
J. Opt. Soc. Am. 60(11) 1436-1443 (1970)

Two-Mirror Anastigmats

C. G. Wynne
J. Opt. Soc. Am. 59(5) 572-578 (1969)

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 (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 (51)

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

	0	1	∞	k₀	k_∞	k*
q	$\frac{3 {N_{1}}^{2}}{4 N_{1} - N_{0}}$	0	$\frac{{N_{1}}^{2}}{N_{0}}$	N₀	∝	…
t₀	$\frac{- 27 {N_{2}}^{2} {N_{1}}^{2} f}{4 {(N_{2} - N_{1})}^{2} (N_{1} - N_{0})}$	0	∞	$\frac{- {N_{2}}^{2} {N_{0}}^{3} f}{{(N_{2} - N_{1})}^{2} ({N_{1}}^{2} - {N_{0}}^{2})}$	$\frac{f}{N_{0}} {[\frac{N_{2} (N_{1} - N_{0})}{N_{2} - N_{1}}]}^{2}$	N₀f
c₁	$\frac{4 {(N_{2} - N_{1})}^{2} (3 N_{1} - N_{0}) (N_{1} - N_{0})}{27 {N_{2}}^{2} {N_{1}}^{2} (4 N_{1} - N_{0}) f}$	∞	0	0	∝	…
t₁	$\frac{4 N_{1} - N_{0}}{3 N_{1}} [N_{0} + \frac{27 {N_{2}}^{2} {N_{1}}^{2}}{4 {(N_{2} - N_{1})}^{2} (N_{1} - N_{0})}] f$	∞	∞	$N_{1} [1 + \frac{{N_{2}}^{2} {N_{0}}^{2}}{{(N_{2} - N_{1})}^{2} ({N_{1}}^{2} - {N_{0}}^{2})}] f$	0	0
c₂	$\frac{3 {N_{1}}^{2}}{N_{0} (N_{2} - N_{1}) (4 N_{1} - N_{0}) f}$	0	$\frac{{N_{1}}^{2}}{{N_{0}}^{2} (N_{2} - N_{1}) f}$	[(N₂ − N₁)f]⁻¹	∝	…

θ	q	t₀
$θ_{\infty} = - π r + arc sin [\frac{N_{1} + 2 N_{0}}{2 (N_{0} - N_{1})} {(\frac{4 N_{1} - N_{0}}{N_{1} - N_{0}})}^{\frac{1}{2}}]$	∞	$\frac{f}{N_{0}} [\frac{N_{2} (N_{0} - N_{1})}{N_{2} - N_{1}}]$
$θ * = - π r + arc cos [\frac{3 N_{2} N_{1}}{2 N_{0} (N_{2} - N_{1})} {(\frac{3 N_{0}}{N_{0} - N_{1}})}^{\frac{1}{2}}]$	…	N₀f

	0	1	∞	k₀	k_∞	k*
q	$\frac{3 {N_{1}}^{2}}{4 N_{1} - N_{0}}$	0	$\frac{{N_{1}}^{2}}{N_{0}}$	N₀	∝	…
t₀	$\frac{- 27 {N_{2}}^{2} {N_{1}}^{2} f}{4 {(N_{2} - N_{1})}^{2} (N_{1} - N_{0})}$	0	∞	$\frac{- {N_{2}}^{2} {N_{0}}^{3} f}{{(N_{2} - N_{1})}^{2} ({N_{1}}^{2} - {N_{0}}^{2})}$	$\frac{f}{N_{0}} {[\frac{N_{2} (N_{1} - N_{0})}{N_{2} - N_{1}}]}^{2}$	N₀f
c₁	$\frac{4 {(N_{2} - N_{1})}^{2} (3 N_{1} - N_{0}) (N_{1} - N_{0})}{27 {N_{2}}^{2} {N_{1}}^{2} (4 N_{1} - N_{0}) f}$	∞	0	0	∝	…
t₁	$\frac{4 N_{1} - N_{0}}{3 N_{1}} [N_{0} + \frac{27 {N_{2}}^{2} {N_{1}}^{2}}{4 {(N_{2} - N_{1})}^{2} (N_{1} - N_{0})}] f$	∞	∞	$N_{1} [1 + \frac{{N_{2}}^{2} {N_{0}}^{2}}{{(N_{2} - N_{1})}^{2} ({N_{1}}^{2} - {N_{0}}^{2})}] f$	0	0
c₂	$\frac{3 {N_{1}}^{2}}{N_{0} (N_{2} - N_{1}) (4 N_{1} - N_{0}) f}$	0	$\frac{{N_{1}}^{2}}{{N_{0}}^{2} (N_{2} - N_{1}) f}$	[(N₂ − N₁)f]⁻¹	∝	…

θ	q	t₀
$θ_{\infty} = - π r + arc sin [\frac{N_{1} + 2 N_{0}}{2 (N_{0} - N_{1})} {(\frac{4 N_{1} - N_{0}}{N_{1} - N_{0}})}^{\frac{1}{2}}]$	∞	$\frac{f}{N_{0}} [\frac{N_{2} (N_{0} - N_{1})}{N_{2} - N_{1}}]$
$θ * = - π r + arc cos [\frac{3 N_{2} N_{1}}{2 N_{0} (N_{2} - N_{1})} {(\frac{3 N_{0}}{N_{0} - N_{1}})}^{\frac{1}{2}}]$	…	N₀f

Abstract

Cited By

Figures (3)

Tables (2)

Equations (51)

Journal of the Optical Society of America