Design of a Linear in Wavenumber Spectrometer

Ruiz-Lopera, Sebastián; Restrepo, René

doi:10.1364/laop.2018.w2b.3

Cited by 2 publications

(3 citation statements)

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“…The linearity of the output angle with respect to the wavenumber can be expressed using Equation ( 2 ) and combining Snell’s law with geometry. The angle after the dispersion group for each wavenumber k can be expressed by Equation ( 3 ) [ 28 ].

where d is the grating period, n is the wavelength-dependent refractive index of the prism,

is the wavenumber dependent refractive index, and

is the diffracted angle of each wavenumber.…”

Section: Theory and Propertiesmentioning

confidence: 99%

“…

is the base angle of the prism, and

is the center wavelength of the light source.

is the diffracted angle of each wavenumber,

[ 28 ]. The

is fixed at 35

, and d is fixed at 1600 lines/mm.…”

Section: Theory and Propertiesmentioning

confidence: 99%

“…The linearity of the output angle with respect to the wavenumber can be expressed using Equation (2) and combining Snell's law with geometry. The angle after the dispersion group for each wavenumber k can be expressed by Equation (3) [28].…”

Section: Theory and Propertiesmentioning

confidence: 99%

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Design and Optimization of a Linear Wavenumber Spectrometer with Cylindrical Optics for Line Scanning Optical Coherence Tomography

Samadi

Dargahi

Narayanswamy

2021

Sensors

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We report the design of a high-efficiency spectral-domain spectrometer with cylindrical optics for line scanning optical coherence tomography (OCT). The spectral nonlinearity in k space (wavenumber) lowers the depth-dependent signal sensitivity of the spectrometers. For linearizing, in this design, grating and prism have been introduced. For line scanning, a cylindrical mirror is utilized in the scanning part. Line scanning improves the speed of imaging compared to fly-spot scanning. Line scanning OCT requires a spectrometer that utilizes cylindrical optics. In this work, an optical design of a linear wavenumber spectrometer with cylindrical optics is introduced. While there are many works using grating and prism to linearize the K space spectrometer design, there is no work on linearizing the k-space spectrometer with cylindrical optics for line scanning that provides high sensitivity and high-speed imaging without the need for resampling. The design of the spectrometer was achieved through MATLAB and ZEMAX simulations. The spectrometer design is optimized for the broadband light source with a center wavelength of 830 ± 100 nm (8.607 μm−1− 6.756 μm−1 in k-space). The variation in the output angle with respect to the wavenumber can be mentioned as a nonlinearity error. From our design results, it is observed that the nonlinearity error reduced from 147.0115 to 0.0149 Δθ*μm within the wavenumber range considered. The use of the proposed reflective optics for focusing reduces the chromatic aberration and increases image quality (measured by the Strehl ratio (SR)). The complete system will provide clinicians a powerful tool for real-time diagnosis, treatment, and guidance in surgery with high image quality for in-vivo applications.

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where d is the grating period, n is the wavelength-dependent refractive index of the prism,

is the wavenumber dependent refractive index, and

is the diffracted angle of each wavenumber.…”

Section: Theory and Propertiesmentioning

confidence: 99%

“…

is the base angle of the prism, and

is the center wavelength of the light source.

is the diffracted angle of each wavenumber,

[ 28 ]. The

is fixed at 35