Angular resolution limit of augmented reality waveguides from guided mode theory
Abstract
We derive the angular resolution limit of an augmented-reality (AR) waveguide combiner from guided mode theory. A slab of finite thickness supports only a discrete set of total-internal-reflection (TIR) angles, giving an angular resolution that worsens with thinner waveguides and smaller TIR angles. At 500~μm thickness the resolution is worse than the 1 arcmin (60 ppd) acuity target over most of the usable TIR range, and reaching 1 arcmin for TIR < 42∘ requires a substrate thicker than 1 mm. The limit is washed out by a source linewidth above ∼0.1~nm or a thickness variation above ∼100~nm across the pupil-replication period, but only partially by pupil truncation and not at all by out-coupling loss. LED- and micro-LED-based displays are therefore unaffected, owing to their broad spectra, whereas a narrow-linewidth laser-based display in a thin, uniform waveguide is subject to this limit.
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BibTeX
@misc{wei2026angular,
title = {{Angular resolution limit of augmented reality waveguides from guided mode theory}},
author = {Guohua Wei},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.09527},
eprint = {2610.09527},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.09527},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Angular resolution limit of augmented reality waveguides from guided mode theory
AU - Guohua Wei
PY - 2026
DA - 2026/10/09
PB - arXiv
DO - 10.48550/arxiv.2610.09527
UR - https://arxiv.org/abs/2610.09527
AB - We derive the angular resolution limit of an augmented-reality (AR) waveguide combiner from guided mode theory. A slab of finite thickness supports only a discrete set of total-internal-reflection (TIR) angles, giving an angular resolution that worsens with thinner waveguides and smaller TIR angles. At 500~μm thickness the resolution is worse than the 1 arcmin (60 ppd) acuity target over most of the usable TIR range, and reaching 1 arcmin for TIR < 42^∘ requires a substrate thicker than 1 mm. The limit is washed out by a source linewidth above ∼0.1~nm or a thickness variation above ∼100~nm across the pupil-replication period, but only partially by pupil truncation and not at all by out-coupling loss. LED- and micro-LED-based displays are therefore unaffected, owing to their broad spectra, whereas a narrow-linewidth laser-based display in a thin, uniform waveguide is subject to this limit.
ER -