Calibration-Free Broadband Reconstructive Spectrometer based on Conical Phase Modulation
Abstract
Reconstructive spectrometers (RSs) shift spectral analysis from hardware-heavy dispersion to encoding-decoding schemes. In the speckle-based RSs, spectra are encoded into disordered intensity patterns and then recovered algorithmically. However, characterizing such spectral-encoding transmission matrices (TMs) typically demands empirically complex calibrations, which rely on expensive tunable light sources to generate known wavelengths. In this work, we demonstrate a fully calibration-free RS that leverages conical phase modulation from an axicon. The target spectra are encoded into a Bessel-form intensity profile, enabling computational construction of a deterministic TM and thus completely removing the need for optical calibration. With this computer-generated TM, broadband spectral reconstruction is experimentally achieved across a 650 nm range (1050-1700 nm)--nearly three times the bandwidth of existing calibration-simplified RSs--while a spectral resolution of 2.9 nm remains comparable to that of these counterparts. Compared with an RS requiring optical calibration for equivalent performance, our solution achieves an approximate 36-fold cost reduction.Unlike most speckle RSs, the axicon RS requires no fixed input polarizer, further enhancing energy efficiency and simplicity through polarization-insensitive operation. To the best of our knowledge, this is the first reported experimentally calibration-free RS, featuring superior simplicity, practicality, and cost-effectiveness for practical applications.
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BibTeX
@misc{liang2026calibrationfree,
title = {{Calibration-Free Broadband Reconstructive Spectrometer based on Conical Phase Modulation}},
author = {Junrui Liang and Zhongming Huang and Yanting Guo and Jun Ye and Yanzhao Ke and Jun Li and Jiangming Xu and Jinyong Leng and Pu Zhou},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.07021},
eprint = {2610.07021},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.07021},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Calibration-Free Broadband Reconstructive Spectrometer based on Conical Phase Modulation
AU - Junrui Liang
AU - Zhongming Huang
AU - Yanting Guo
AU - Jun Ye
AU - Yanzhao Ke
AU - Jun Li
AU - Jiangming Xu
AU - Jinyong Leng
AU - Pu Zhou
PY - 2026
DA - 2026/10/04
PB - arXiv
DO - 10.48550/arxiv.2610.07021
UR - https://arxiv.org/abs/2610.07021
AB - Reconstructive spectrometers (RSs) shift spectral analysis from hardware-heavy dispersion to encoding-decoding schemes. In the speckle-based RSs, spectra are encoded into disordered intensity patterns and then recovered algorithmically. However, characterizing such spectral-encoding transmission matrices (TMs) typically demands empirically complex calibrations, which rely on expensive tunable light sources to generate known wavelengths. In this work, we demonstrate a fully calibration-free RS that leverages conical phase modulation from an axicon. The target spectra are encoded into a Bessel-form intensity profile, enabling computational construction of a deterministic TM and thus completely removing the need for optical calibration. With this computer-generated TM, broadband spectral reconstruction is experimentally achieved across a 650 nm range (1050-1700 nm)--nearly three times the bandwidth of existing calibration-simplified RSs--while a spectral resolution of 2.9 nm remains comparable to that of these counterparts. Compared with an RS requiring optical calibration for equivalent performance, our solution achieves an approximate 36-fold cost reduction.Unlike most speckle RSs, the axicon RS requires no fixed input polarizer, further enhancing energy efficiency and simplicity through polarization-insensitive operation. To the best of our knowledge, this is the first reported experimentally calibration-free RS, featuring superior simplicity, practicality, and cost-effectiveness for practical applications.
ER -