What does this research mean for the field?

A new discrete Hankel transform method based on a convolution-type Gaussian fast Fourier transform (Conv-Gauss-FFT) algorithm achieves superior computational speed compared to digital linear filter (DLF) and quadrature-with-extrapolation (QWE) methods while maintaining comparable accuracy in electromagnetic geophysical modeling. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

This work aims to enhance the efficiency and accuracy of Hankel transforms in electromagnetic geophysics.

May 9, 2026Earth Planets and SpaceOpen Access

An efficient discrete Hankel transform based on convolutional Gaussian fast Fourier transform

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Authors

GTGuanzheng Tian YLYuguo Li

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Overview

Randomized trial evaluates a new algorithm for Hankel transforms in EM geophysics, suggesting efficient computation and accuracy.

Key Points

This work aims to enhance the efficiency and accuracy of Hankel transforms in electromagnetic geophysics.
Introduced a convolution-type Gaussian fast Fourier transform (Conv-Gauss-FFT) for Hankel transforms.
Optimized weights and sampling points using Gauss–Legendre quadrature rules.
Utilized circulant embedding techniques to solve Toeplitz matrices efficiently.
Achieved superior computational speed compared to both digital linear filter and quadrature-with-extrapolation methods.
Maintained accuracy levels comparable to established methods despite speed improvements.
Proposed algorithm particularly beneficial for large-scale controlled-source electromagnetic forward modeling.

Cite This Study

Tian et al. (2026) studied this question.

synapsesocial.com/papers/69fed19ab9154b0b82878ec8 https://doi.org/10.1186/s40623-026-02436-5

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May 9, 2026Earth Planets and SpaceOpen Access

An efficient discrete Hankel transform based on convolutional Gaussian fast Fourier transform

View Full Paper

Ask AI

Bookmark

Authors

GTGuanzheng Tian YLYuguo Li

Discussion

Member takes

Overview

Randomized trial evaluates a new algorithm for Hankel transforms in EM geophysics, suggesting efficient computation and accuracy.

Key Points

This work aims to enhance the efficiency and accuracy of Hankel transforms in electromagnetic geophysics.
Introduced a convolution-type Gaussian fast Fourier transform (Conv-Gauss-FFT) for Hankel transforms.
Optimized weights and sampling points using Gauss–Legendre quadrature rules.
Utilized circulant embedding techniques to solve Toeplitz matrices efficiently.
Achieved superior computational speed compared to both digital linear filter and quadrature-with-extrapolation methods.
Maintained accuracy levels comparable to established methods despite speed improvements.
Proposed algorithm particularly beneficial for large-scale controlled-source electromagnetic forward modeling.

Cite This Study

Tian et al. (2026) studied this question.

synapsesocial.com/papers/69fed19ab9154b0b82878ec8 https://doi.org/10.1186/s40623-026-02436-5

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