Ronchi Test of Fifth-Order Aberrations

Paul Erdös

doi:10.1364/JOSA.49.000865

Journal of the Optical Society of America
Vol. 49,
Issue 9,
pp. 865-868
(1959)
•https://doi.org/10.1364/JOSA.49.000865

Ronchi Test of Fifth-Order Aberrations

Paul Erdös

Not Accessible

Your library or personal account may give you access

Get PDF
Email
Share
Get Citation
Copy Citation Text
Paul Erdös, "Ronchi Test of Fifth-Order Aberrations," J. Opt. Soc. Am. 49, 865-868 (1959)

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

Abstract

The Ronchi test of focusing symmetrical optical instruments is described. The test patterns of fifth-order aberrations are evaluated and compared with those of the third order. The same types of aberration, irrespective of their order, yield the same type of pattern. It is concluded that the test is well suited to determine the general character of the error pertinent to the instrument.

Full Article | PDF Article

More Like This

Control of fifth-order aberrations in modular optical design

Douglas W. Anderson
J. Opt. Soc. Am. 69(2) 321-324 (1979)

Theory of fifth-order aberration of graded-index media*

Anjana Gupta, K. Thyagarajan, I. C. Goyal, and A. K. Ghatak
J. Opt. Soc. Am. 66(12) 1320-1325 (1976)

Quantitative three-beam Ronchi test

Jenn-An Lin, Jeremy Hsu, and S. G. Shiue
Appl. Opt. 29(13) 1912-1918 (1990)

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 (16)

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

Type of aberration	$W = \frac{z}{2} (X^{2} + Y^{2}) + term given below$
Third-order aberrations
Primary spherical aberration	₀c₄₀(X²+Y²)²
Primary coma	₁c₃₁ (X²+ Y²) (X sinφ+ Y cosφ)
Primary astigmatism	₂c₂₂[X²+Y²− (X²− Y²) cos2φ +2XY sin2φ]
Field curature difference	₂c₀₀(X²+Y²)
Seidel distortion	₃c₁₁(X sinφ+ Y cosφ)
Fifth-order aberrations
Secondary spherical aberration	₀c₆₀(X²+ Y²)³
Secondary coma	₁c₅₁(X²+ Y²)²(X sinφ+ Y cosφ)
Lateral spherical aberration	₂c₄₀(X²+ Y²)²
Wings	₂c₄₂(X²+ Y²)[X²+ Y²− (X²− Y²) ×cos2φ+2XY sin2φ]
Arrows	₃c₃₃(X sinφ+ Y cosφ)³
Lateral coma	₃c₃₁(X²+ Y²) (X sinφ+ Y cosφ)
Lateral field curvature	₄c₂₀(X²+ Y²)
Lateral astigmatism	₄c₂₂[X²+ Y²− (X²− Y²) cos2φ +2XY sin2φ]
Lateral distortion	₅c₁₁(X sin φ+ Y cosφ)

Type of fifth-order aberration		Type of third-order aberration
Lateral spherical aberration	↔	Primary spherical aberration
Lateral coma	↔	Primary coma
Lateral astigmatism	↔	Primary astigmatism

Type of aberration	$W = \frac{z}{2} (X^{2} + Y^{2}) + term given below$
Third-order aberrations
Primary spherical aberration	₀c₄₀(X²+Y²)²
Primary coma	₁c₃₁ (X²+ Y²) (X sinφ+ Y cosφ)
Primary astigmatism	₂c₂₂[X²+Y²− (X²− Y²) cos2φ +2XY sin2φ]
Field curature difference	₂c₀₀(X²+Y²)
Seidel distortion	₃c₁₁(X sinφ+ Y cosφ)
Fifth-order aberrations
Secondary spherical aberration	₀c₆₀(X²+ Y²)³
Secondary coma	₁c₅₁(X²+ Y²)²(X sinφ+ Y cosφ)
Lateral spherical aberration	₂c₄₀(X²+ Y²)²
Wings	₂c₄₂(X²+ Y²)[X²+ Y²− (X²− Y²) ×cos2φ+2XY sin2φ]
Arrows	₃c₃₃(X sinφ+ Y cosφ)³
Lateral coma	₃c₃₁(X²+ Y²) (X sinφ+ Y cosφ)
Lateral field curvature	₄c₂₀(X²+ Y²)
Lateral astigmatism	₄c₂₂[X²+ Y²− (X²− Y²) cos2φ +2XY sin2φ]
Lateral distortion	₅c₁₁(X sin φ+ Y cosφ)

Type of fifth-order aberration		Type of third-order aberration
Lateral spherical aberration	↔	Primary spherical aberration
Lateral coma	↔	Primary coma
Lateral astigmatism	↔	Primary astigmatism

Abstract

Cited By

Figures (3)

Tables (2)

Equations (16)

Journal of the Optical Society of America