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Related Experiment Video

Updated: May 18, 2026

ARL Spectral Fitting as an Application to Augment Spectral Data via Franck-Condon Lineshape Analysis and Color Analysis

ARL Spectral Fitting as an Application to Augment Spectral Data via Franck-Condon Lineshape Analysis and Color Analysis

Published on: August 19, 2021

Scaled angular spectrum method.

Tomoyoshi Shimobaba¹, Kyoji Matsushima, Takashi Kakue

¹Graduate School of Engineering, Chiba University, 1-33 Yayoi-cho, Inage-ku, Chiba 263-8522, Japan. shimobaba@faculty.chiba‑u.jp

|October 3, 2012

Summary

This summary is machine-generated.

A scaled angular spectrum method (ASM) enables diffraction calculations at varying sampling rates between source and destination planes. This advancement overcomes limitations of the standard ASM for complex optical systems.

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Area of Science:

Optics and Photonics
Computational Electromagnetics

Background:

The Angular Spectrum Method (ASM) is crucial for high numerical aperture diffraction calculations, surpassing Fresnel diffraction limitations.
A key constraint of the standard ASM is its inability to handle different sampling rates between the source and destination planes.

Purpose of the Study:

To introduce a novel scaled ASM capable of performing diffraction calculations with varying sampling rates.
To address the sampling rate incompatibility issue in traditional ASM implementations.

Main Methods:

Development of a scaled Angular Spectrum Method (ASM).
Utilization of the nonuniform fast Fourier transform (NUFFT) to manage differing sampling densities.
Implementation of the scaled ASM for diffraction modeling.

Main Results:

The scaled ASM successfully computes diffraction patterns at distinct sampling rates on source and destination planes.
Demonstration of the method's efficacy in overcoming the sampling rate mismatch inherent in standard ASM.

Conclusions:

The proposed scaled ASM offers enhanced flexibility for diffraction calculations in optical systems with varying sampling requirements.
This method provides a more adaptable approach to computational optics, particularly for high numerical aperture scenarios.