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We present simple formulas for the diffraction efficiencies of a binary phase grating that performs array illumination with ultrashort laser pulses. Using scalar diffraction theory, we formulated the efficiencies as a function of pulse spectral width by Fourier-transforming the complex-modulated frequency spectra of diffracted pulses in the far-field region. From the analytical simulations, we found that pulse array uniformity departs from unity as the spectral width increases, or the pulse duration decreases, thereby limiting the attainable split counts. This finding can be considered in the design of gratings for delivering controlled amounts of pulse energies to diffraction orders of interest.
Hidetoshi Nakano andJun Amako
"Analytical representation of diffraction efficiencies of binary phase gratings for array illumination with ultrashort laser pulses", Proc. SPIE PC12664, Optical Modeling and Performance Predictions XIII, PC1266409 (28 September 2023); https://doi.org/10.1117/12.2675970
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Hidetoshi Nakano, Jun Amako, "Analytical representation of diffraction efficiencies of binary phase gratings for array illumination with ultrashort laser pulses," Proc. SPIE PC12664, Optical Modeling and Performance Predictions XIII, PC1266409 (28 September 2023); https://doi.org/10.1117/12.2675970