Abstract

The coupled wave theory for volume holographic grating with curved interference fringes has been proposed based on the Kogelnik’s coupled wave theory with the plane interference fringes. The formula about the magnitude and directional angle of grating vector in arbitrary position of volume holographic grating with curved grating has been deduced. We found that the wavelength selectivity and angular selectivity may be different in different position of volume holographic curved stripe grating which depend on the angle between the propagation vector of reference beam and signal beam. The larger the angle, the greater the angle and wavelength selectivity, whereas the weaker.

Highlights

  • In 1948, Dennis Gabor proposed the holographic wavefront reconstruction technique to reduce the aberration of electron microscopy and improve the image resolution, namely, the short wavelength electromagnetic spectrum line was used to store the measured object image, while the long wavelength electromagnetic spectrum was used to reproduce

  • In the field of holographic optical, holographic wavefront reconstruction is to use two beams of coherent light exposure holographic material, and the interference fringes of two beams of coherent light will be recorded in holographic material, and any beam at the original records is used to irradiate the recorded holographic material, which can reproduce another beam at the original records [1]-[6]

  • If the object and reference beams are both point light source and recorded in the holographic medium, the holographic medium consisting of point source hologram can be as the basic holographic optical element, which can be realized the function of the basic lens, a reflecting mirror

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Summary

Introduction

In 1948, Dennis Gabor proposed the holographic wavefront reconstruction technique to reduce the aberration of electron microscopy and improve the image resolution, namely, the short wavelength electromagnetic spectrum line was used to store the measured object image, while the long wavelength electromagnetic spectrum was used to reproduce. In the field of holographic optical, holographic wavefront reconstruction is to use two beams of coherent light exposure holographic material, and the interference fringes of two beams of coherent light will be recorded in holographic material, and any beam at the original records is used to irradiate the recorded holographic material, which can reproduce another beam at the original records [1]-[6]. If the object and reference beams are both point light source and recorded in the holographic medium, the holographic medium consisting of point source hologram can be as the basic holographic optical element, which can be realized the function of the basic lens, a reflecting mirror. A point source of holographic optical elements can be a bunch of diverging or converging spherical wave and a bunch of planar light wave mutual interference, and can two beams of spherical waves interfere with each other, or two beams of plane waves interfere with each other.

Interference Field of Plane Wave and Converging Spherical Wave
The “Curved” Coupled Wave Theory Based on “Plane” Coupled Wave Theory
The Optical Properties of the Off-Axis Volume Holographic Grating
Angular Selectivity at Different Locations of the Volume Holographic Grating
Diffraction Efficiency at Different Locations on the Surface of the Grating
Conclusion

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