Calculation method of the Strehl Definition for decentral optical systems

Songlin Zhuang; Huai'an Chen

doi:10.1117/12.47939

1 January 1991 Calculation method of the Strehl Definition for decentral optical systems

Songlin Zhuang, Huai'an Chen

Proceedings Volume 1354, 1990 Intl Lens Design Conf; (1991) https://doi.org/10.1117/12.47939
Event: 1990 International Lens Design Conference, 1990, Monterey, CA, United States

Abstract

A new method is proposed to calculate the Strehi Definition for optical systems lacking rotational symmetry. The Strehi Definition(S. D) is one of the commonly used criterion for evaluating the quality of an optical system especially for the microscopic objectives. It is will known that the S. D is defined as follows S. D 7-2 J1J1exp[-27riW(x y)dxdy I 2 (1) Where w(x y) is wave aberrations and (x y) is the coordinate of the pupil plane. For a high quality optical system S. D can be expressed as S. D 1 (2)2[W2(x W(x y) 2j (2) In order to calculate the S. D of the decentral optical system precisely both lateral and longitudinal defocus should be considered simultaneously. The corresponding aberration coefficients are C C01 (along y-direction) and C0 (along x-direction). Owing to the optical systems lacking relational symmetry the asymmetrical aberrations central astigmatism C21 and central coma C should be added in the wave aberration function i. e. the wave aberration for the system lacking symmetry is W(x y) C(x+ y) + C(x + y)2 + C(x + y)3 + C(x + + C02y2+ C22(x2 +y)y + C42(x+?)Y + C62(x+?)3? + Cy4 + C24(x2 + y)y4 + C + y)2y4 + C(x2 + + C41(x2 + y2)2y + C61(x2 + y)3y + Cd + C + y2)y3 +C43(x2+y2)+C01y+C1 x+Cx2+C1 (x2+?)x (3) After tedious but straightforward integral calculation equation

Citation Download Citation

Songlin Zhuang and Huai'an Chen "Calculation method of the Strehl Definition for decentral optical systems", Proc. SPIE 1354, 1990 Intl Lens Design Conf, (1 January 1991); https://doi.org/10.1117/12.47939

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