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The wave aberration theory of non-symmetrical optical systems is useful for understanding the misalignment in symmetrical systems and designing of off-axis mirror systems. A theory about the third-order aberrations for sub-aperture plane symmetric optical system is developed by using the aberration theory for full-aperture axially symmetric spherical systems. This paper proves the nodal aberration theory, namely, the points in the field with zero third-order aberration will deviate from the field center except for spherical aberration. It also reveals that the nodal aberrations arise from the transformation of the aberrations in full-aperture systems. This theory can be efficiently used in non-symmetric optical system designing process.
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Keywords:
- plane symmetric /
- optical aberration /
- geometrical optics
[1] Seunghyuk C 2006 Proc. SPIE. 6265 626548
[2] Hinner P A, Dickensheets D L 2003 Proc. SPIE. 4985 281
[3] Liu X M, Xiang Y 2011 Acta Optica Sin. 31 0622004 (in Chinese) [刘晓梅, 向阳 2011 光学学报 31 0622004]
[4] Sands P J 1972 J. Opt. Soc. Am. 62 1211
[5] Thompson K 2005 J. Opt. Soc. Am. 22 1389
[6] Sasian J M 1994 Optical Engineering 33 2045
[7] Moore L B, Hvisc A M 2008 Optics Express 16 15655
[8] Rogers J R 2000 Optical Engineering 39 1776
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[1] Seunghyuk C 2006 Proc. SPIE. 6265 626548
[2] Hinner P A, Dickensheets D L 2003 Proc. SPIE. 4985 281
[3] Liu X M, Xiang Y 2011 Acta Optica Sin. 31 0622004 (in Chinese) [刘晓梅, 向阳 2011 光学学报 31 0622004]
[4] Sands P J 1972 J. Opt. Soc. Am. 62 1211
[5] Thompson K 2005 J. Opt. Soc. Am. 22 1389
[6] Sasian J M 1994 Optical Engineering 33 2045
[7] Moore L B, Hvisc A M 2008 Optics Express 16 15655
[8] Rogers J R 2000 Optical Engineering 39 1776
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