Abstract
The imaging properties of hard X-ray multilayer zone plates with corrugated roughness along circular zone boundaries are investigated. First, the transmission function for zone plates with the roughness is derived using a geometric optical approach, and based on the Fresnel-Kirchhoff diffraction theory formulas are developed to calculate the point spread function (PSF) efficiently, assuming that the roughness increases with radius. Then, the PSFs for various magnitudes and angular configurations of the roughness are presented, and the imaging properties are discussed particularly in terms of the focusing efficiency (or the Strehl ratio) and the resolution. Tolerances for the maximum magnitude of the roughness, and the relationship between the angular configuration of the roughness and the symmetry of the PSF are also discussed.
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References
K. Saitoh, K. Inagawa, K. Kohra, C. Hayashi, A. Iida and N. Kato: Rev. Sci. Instrum. 60 (1989) 1519.
R. M. Bionta, E. Abies, O. Clamp, O. D. Edwards, P. C. Gabriele, K. Miller, L. L. Ott, K. M. Skulina, R. Tilley and T. Viada: Opt. Eng. 29 (1990) 576.
W. B. Yun, P. J. Viccaro, B. Lai and J. Chrzas: Rev. Sci. Instrum. 63 (1992) 582.
R. M. Bionta and K. M. Skulina: Appl. Phys. Lett. 64 (1994) 945.
S. Tamura, K. Ohtani and N. Kamijo: Appl. Surf. Sci. 79/80 (1994) 514.
N. Kamijo, S. Tamura, Y. Suzuki, K. Handa, A. Takeuchi, S. Yamamoto, M. Ando, K. Ohsumi and H. Kihara: Rev. Sci. Tech. J. 68 (1997) 14.
J. Kirz: J. Opt. Soc. Am. 64 (1974) 301.
M. J. Simpson and A. G. Michette: Opt. Acta 31 (1984) 403.
J. Maser and G. Schmahl: Opt. Commun.89 (1992) 355.
V. E. Levashov and A. V. Vinogradov: Phys. Rev. E 49 (1994) 5797.
G. Schneider: Appl. Phys. Lett. 71 (1997) 2242.
H. Kogelnik: Bell Syst. Tech. J. 48 (1969) 2909.
Y. V. Kopylov, A. V. Popov and A. V. Vinogradov: Opt. Commun. 118 (1995) 619.
G. Schneider: Appl. Phys. Lett. 73 (1998) 599.
W. R. Klein: Proc. IEEE 54 (1966) 803.
A. W. Lohmann and D. P. Paris: Appl. Opt. 6 (1967) 1567.
M. J. Simpson and A. G. Michette: Opt. Acta 30 (1983) 1455.
M. Born and E. Wolf: Principles of Optics (Pergamon Press, Oxford, 1975) 5th ed., Chap. 8, p. 380.
M. Born and E. Wolf: Principles of Optics (Pergamon Press, Oxford, 1975) 5th ed., Chap. 8, p. 442.
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Nakajima, K. Imaging Properties of Hard X-Ray Zone Plates with Corrugated Boundary Roughness. OPT REV 7, 266–274 (2000). https://doi.org/10.1007/s10043-000-0266-8
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DOI: https://doi.org/10.1007/s10043-000-0266-8