Line Spread and Edge Spread Functions in the Presence of Off-Axis Aberrations
JOSA, Vol. 55, Issue 9, pp. 1132-1135 (1965)
http://dx.doi.org/10.1364/JOSA.55.001132
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Abstract
The line spread function and edge spread function for incoherent illumination are expressed in terms of the transfer function in the presence of rotationally nonsymmetric aberrations. A sampling theorem is derived which expresses the edge spread function in terms of sampled values of the line spread function. Typical numerical results are presented for third-order coma.
Citation
RICHARD BARAKAT and AGNES HOUSTON, "Line Spread and Edge Spread Functions in the Presence of Off-Axis Aberrations," J. Opt. Soc. Am. 55, 1132-1135 (1965)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-55-9-1132
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References
- C. Andre, Ann. Ecole Normale Suppl. No. 5 (1876).
- H. Struve, Wied. Ann. 27, 1008 (1882).
- G. Toraldo di Francia, La Diffrazione della Luce (Torino, Edizione Scientifiche Einaudi, 1958), p. 252. This reference contains a convenient summary of Struve's work.
- Lord Rayleigh, "Wave Theory of Light" in Collected Papers (Cambridge University Press, Cambridge, England, 1902; Dover 1965), Vol. 3.
- R. Barakat and A. Houston, J. Opt. Soc. Am. 54, 768 (1964).
- W. Weinstein, J. Opt. Soc. Am. 44, 610 (1954).
- F. Dixon, Proc. Phys. Soc. (London) 75, 713 (1960).
- The dimensionless parameter υ is given by υ= (πD/λƒ)z=πz/λF, where F is the ƒ/number of the optical system, λ is the wavelength of the incident light, and z is the lateral distance in the image plane measured from the optical axis. Both z and λ are to be measured in the same units (usually microns).
- A. Papoulis, The Fourier Integral and Its Applications (Mc-Graw-Hill Book Co., Inc., New York, 1962), p. 38.
- The dimensionless spatial frequency ω is related to the physical parameters of the system by the equation Ω=ω/2λF, where Ω is the dimensional spatial frequency expressed in lines/mm, λ is the wavelength of light in mm, and F is the ƒ number of the system. The physical cutoff of the system occurs at ω=2.
- H. Carslaw, Introduction to the Theory of Fourier’s Series and Integrals (Dover Publications, Inc., New York, 1956), 3rd ed., p. 129.
- H. Bode, Network Analysis and Feedback Amplifier Design (D. Van Nostrand Co., Inc., New York, 1954).
- The normalization of the line spread function varies with the investigator. We have consistently normalized the line spread function in our calculations so that 0≤τ≤ 1; the value unity occurring when the system is aberration free.
- R. Barakat, J. Opt. Soc. Am. 54, 920 (1964).
- R. Barakat and A. Houston, J. Opt. Soc. Am. 55, 881 (1965).
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