ERIC Number: EJ832516
Record Type: Journal
Publication Date: 2007-Sep
Pages: 12
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0143-0807
EISSN: N/A
Phasor Analysis of Binary Diffraction Gratings with Different Fill Factors
Martinez, Antonio; Sanchez-Lopez, Ma del Mar; Moreno, Ignacio
European Journal of Physics, v28 n5 p805-816 Sep 2007
In this work, we present a simple analysis of binary diffraction gratings with different slit widths relative to the grating period. The analysis is based on a simple phasor technique directly derived from the Huygens principle. By introducing a slit phasor and a grating phasor, the intensity of the diffracted orders and the grating's resolving power can be easily obtained without applying the usual Fourier transform operations required for these calculations. The proposed phasor technique is mathematically equivalent to the Fourier transform calculation of the diffraction order amplitude, and it can be useful to explain binary diffraction gratings in a simple manner in introductory physics courses. This theoretical analysis is illustrated with experimental results using a liquid crystal device to display diffraction gratings with different fill factors. (Contains 1 table and 5 figures.)
Descriptors: Physics, Science Instruction, Science Experiments, Science Laboratories, Laboratory Experiments, Mathematical Formulas, College Science, Undergraduate Study
Institute of Physics Publishing. The Public Ledger Building Suite 929, 150 South Independence Mall West, Philadelphia, PA 19106. Tel: 215-627-0880; Fax: 215-627-0879; e-mail: info@ioppubusa.com; Web site: http://www.iop.org/EJ/journal/EJP
Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A