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Shear on the Horizontal Face of a Beam Element

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To understand shear on the flat side of a prismatic beam element, consider the vertical and horizontal shearing forces, and the normal forces, acting on the element. The element's upper (U) and lower (L) sections, which are divided by the beam's neutral axis, are examined. The equilibrium of these forces is determined by applying the equilibrium equation, which helps identify the horizontal shearing force. This force is directly related to the bending moments and the cross-section's...

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Demonstration of Equal-Intensity Beam Generation by Dielectric Metasurfaces

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Published on: June 7, 2019

High-efficiency three-port beam splitter under normal incidence.

Xingxue Li, Mengqing Xu, Jiajing Liao

Journal of the Optical Society of America. A, Optics, Image Science, and Vision

|January 28, 2025

Summary

This summary is machine-generated.

This study presents a novel fused-silica three-port grating with enhanced diffraction efficiency (DE) and bandwidth. The fabricated grating demonstrates high DE across multiple orders and a broad wavelength range.

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Area of Science:

Optics and Photonics
Nanofabrication and Lithography
Diffractive Optics

Background:

Three-port gratings are crucial optical components for beam splitting and manipulation.
Improving diffraction efficiency (DE) and operational bandwidth remains a key challenge in grating design.

Purpose of the Study:

To design and fabricate a fused-silica three-port grating with superior diffraction efficiency and bandwidth.
To provide a physical explanation for grating diffraction using the simplified mode method (SMM).
To optimize grating parameters using rigorous coupled-wave analysis (RCWA).

Main Methods:

Design and simulation using simplified mode method (SMM) and rigorous coupled-wave analysis (RCWA).
Fabrication of a 170μm x 170μm grating using scanning beam interference lithography (SBIL).
Experimental investigation of diffraction properties at 632.8 nm and across a wavelength range.

Main Results:

Achieved average diffraction efficiencies of 29% (+1 order), 30% (0 order), and 31% (-1 order) at 632.8 nm.
Demonstrated measured DEs exceeding 25% for all orders within the 613 nm to 653 nm wavelength range.
The fabricated grating exhibits improved DE and bandwidth compared to conventional designs.

Conclusions:

The developed fused-silica three-port grating offers enhanced performance in terms of diffraction efficiency and operational bandwidth.
The combination of SMM, RCWA, and SBIL provides an effective pathway for fabricating high-performance diffractive optical elements.
This grating technology holds potential for applications requiring efficient and broadband optical beam manipulation.