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Quasiself‐similar Cantor gratings and their diffraction
Author(s) -
Pombo J. L.,
Lehman M.,
Garavaglia M.,
Jaggard D. L.
Publication year - 1999
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/(sici)1098-2760(19990320)20:6<393::aid-mop11>3.0.co;2-v
Subject(s) - superposition principle , diffraction , grating , randomness , multiplicative function , diffraction grating , optics , microwave , field (mathematics) , mathematics , physics , mathematical analysis , quantum mechanics , pure mathematics , statistics
We use the impedance method to study the far‐field diffraction of a transmission grating characterized by a Cantor density function. This density function is obtained from a multiplicative superposition of periodic functions. Intensity patterns for different configurations are shown when randomization and filtering of some periodic components are introduced. These results relate the geometric–statistical properties of the grating with its scattered fields; this is the randomness to diffraction. ©1999 John Wiley & Sons, Inc. Microwave Opt Technol Lett 20: 393–397, 1999.