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Related Concept Videos

X-ray Crystallography02:18

X-ray Crystallography

The size of the unit cell and the arrangement of atoms in a crystal may be determined from measurements of the diffraction of X-rays by the crystal, termed X-ray crystallography.
Diffraction
Diffraction is the change in the direction of travel experienced by an electromagnetic wave when it encounters a physical barrier whose dimensions are comparable to those of the wavelength of the light. X-rays are electromagnetic radiation with wavelengths about as long as the distance between neighboring...

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Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
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Littrow-mounted diffraction grating cavity.

H Lotem

    Applied Optics
    |September 24, 2010
    PubMed
    Summary

    This study models grating resonators using a tilted-mirror Fabry-Perot cavity. The findings reveal how cavity axial mode separation is determined and predict effects on finesse and mode broadening.

    Area of Science:

    • Optics
    • Resonant Cavity Physics
    • Diffraction Theory

    Background:

    • Grating resonators lack a single cavity length, complicating mode spacing determination.
    • Traditional standing-wave patterns are insufficient for analyzing grating resonator cavity modes.

    Purpose of the Study:

    • To model the behavior of Littrow grating cavities.
    • To determine the cavity axial mode separation in grating resonators.
    • To predict the effects of wavelength deviation on cavity finesse and mode broadening.

    Main Methods:

    • Geometric ray tracing was employed to analyze the grating cavity.
    • Scalar diffraction theory was used to calculate the phase of diffracted plane waves.
    • A passive grating cavity was experimentally investigated using interferometry and a tunable laser.

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    Main Results:

    • A grating cavity can be modeled as a tilted-mirror Fabry-Perot cavity.
    • The tilt magnitude is linearly dependent on wavelength deviation from the resonant Littrow wavelength.
    • Cavity axial mode separation is given by c/2L(C), where L(C) is the grating-cavity length.
    • Finesse decrease and mode broadening effects were predicted and found to be linearly dependent on wavelength deviation.

    Conclusions:

    • The proposed model accurately represents grating resonator behavior.
    • The study provides a method for determining mode spacing in grating cavities.
    • Experimental validation confirmed the predicted effects of wavelength deviation on cavity performance.