Does Yen (2020) actually conclude the microlithography resolution formula is Abbe's, not Rayleigh's — and in what exact terms?

history-of-scienceopticseuvlithographymisattributionresolution-limitabberayleighprimary-source-verification

This capture answers question-verify-yen-2020-abbe-rayleigh-resolution-attribution, the full-text-verification gap flagged against claim-abbe-not-rayleigh-formula-sets-lithography-resolution-limit at promotion. That note rested on the paper's title and a paraphrase of its abstract, with the SPIE full text unread (paywalled, no web access in that run).

Core question status: substantially CONFIRMED at the abstract level; full-body text still inaccessible

Claim type: the central question is a documentary/historical claim ("what does this specific paper conclude"), with a nested technical-mechanism claim (why Abbe's formula is judged more applicable) and a nested quantitative claim (the disputed numeric expression). All three floors point the same direction: Tier 1–2 required, primary document preferred.

This session confirmed the SPIE venue itself exists (DOI 10.1117/1.JMM.19.4.040501, Journal of Micro/Nanolithography, MEMS, and MOEMS 19(4), 040501, published online 2020-10-01 / in print 2020-11-06) but could not read its full body text: archive_page against both the SPIE .full article page and the doi.org redirect returned an Incapsula bot-block page ("Request unsuccessful. Incapsula incident ID: ..."), and archive_page against the ResearchGate mirror returned HTTP 403. SPIE and ResearchGate should be treated as blocked routes for this paper going forward (candidates for sources.md's known-blocked list, not added here since that file is out of this capture's scope).

What was recoverable, with receipts: the paper's own abstract — Yen's own condensed statement of the paper's conclusion — reproduced verbatim and identically across two independent third-party academic-metadata mirrors (Semantic Scholar's API record and the ivySCI academic-database page), and the paper's bibliographic facts (author, affiliation, venue, dates, and its own 8-item reference list) via Crossref, the official DOI registration-agency record for this article. The abstract wording was checked with the vault's groundedness tool against the archived ivySCI capture and returned grounded verbatim. This is not full-text confirmation of the paper's detailed argument, but it is Yen's own exact published language stating the paper's conclusion — which is most of what the routed question asked for.

Claim: Yen (2020) concludes, in its own abstract, that the microlithography resolution formula should properly be attributed to Abbe rather than Rayleigh

verifies: question-verify-yen-2020-abbe-rayleigh-resolution-attribution

The paper's abstract states: "We review the history in connection with the resolution formula of microlithography and argue that it was Abbe rather than Rayleigh who definitively stated the 0.5λNA resolution limit for the minimum pitch first, using an approach more relevant to projection imaging, and hence, this expression should be more appropriately referred to as the Abbe formula for the resolution of a projection imaging system." This directly and unambiguously answers the "does it conclude X" half of the routed question: yes, in Yen's own words, the paper's thesis is that the formula should be renamed the Abbe formula, not the Rayleigh formula. Historical/attribution claim escalated to Tier 1 per the sourcing floor (a contested, surprising attribution is exactly the case the floor says needs the author's own words, not a secondary retelling) — satisfied here by Yen's own abstract, verified verbatim via archived mirror (sha 1c516ddd9c8f88c084f68f755eebe940f9ea59041b03f9e5226fd4bf2f7b009e).

Claim: Yen's stated basis for the re-attribution is that Abbe's approach is "more relevant to projection imaging" than Rayleigh's — confirmed only at the abstract's summary level

verifies: question-verify-yen-2020-abbe-rayleigh-resolution-attribution

The same abstract sentence gives the paper's stated reason: Abbe "definitively stated" the resolution limit "first, using an approach more relevant to projection imaging" — implying Rayleigh's classical criterion (from his 1879 optics/spectroscope work) was derived for a different imaging context and is less applicable to projection lithography specifically. This is a technical-mechanism claim, and the sourcing floor requires Tier 1–2 for it; the abstract clears that bar for the claim as stated at this level of generality. However, the paper's actual worked argument — the specific physical or mathematical reasoning for why Abbe's diffraction-based derivation suits projection imaging while Rayleigh's does not, and the question note's specific ask about the k₁·λ/NA-vs-Rayleigh-criterion distinction and whether "half the wavelength" is Yen's own framing or a simplification — sits in the paper's body, which remains unread this session. That deeper mechanistic detail is marked [unverified-mechanism — needs primary]: the abstract-level reason is confirmed, the full derivation is not.

Claim: The disputed formula is a ~0.5·λ/NA resolution limit for minimum pitch, which Yen's abstract renames "the Abbe formula for the resolution of a projection imaging system"

verifies: question-verify-yen-2020-abbe-rayleigh-resolution-attribution

The quantitative content of the dispute, per the same abstract sentence, is a resolution limit of "0.5λNA" (half the wavelength scaled by numerical aperture) for minimum pitch — the same relation underlying claim-abbe-not-rayleigh-formula-sets-lithography-resolution-limit's "≈ 0.5·λ/NA" figure. Quantitative claims require Tier 1–2 sourcing per the floor; this figure comes from Yen's own abstract (same verbatim, receipted quote as above), not from a secondary paraphrase, so it clears the floor. What is not confirmed this session is whether "0.5" is presented in the paper's body as an exact coefficient or as a simplification of a more general k₁-coefficient formula (k₁·λ/NA) — the question note flags this distinction explicitly, and it remains open pending full-text access.

Further leads

• Crossref's metadata record lists Yen's affiliation at publication as "ASML Technology Development Center, San Jose, California" (not TSMC, despite his earlier/later TSMC tenure per public bio) — worth a biographical note if an entity page for Anthony Yen is ever built. Source: Crossref record above.
• Yen's own reference list (via Crossref, 8 references total) names the two foundational primaries the paper adjudicates between: Abbe's 1873 "Beiträge zur Theorie des Mikroskops und der mikroskopischen Wahrnehmung" (Archiv für mikroskopische Anatomie, vol. 9, pp. 413–468, DOI 10.1007/BF02956173) and its 1882 English continuation "The relation of aperture and power in the microscope (continued)," versus Lord Rayleigh's 1879 "Investigations in optics, with special reference to the spectroscope" (Philosophical Magazine, Series 5, Vol. 8, No. 49, DOI 10.1080/14786447908639684). None of these three primaries were read this session — a natural next hop for anyone wanting the paper's actual argument rather than its abstract. [unverified-mechanism — needs primary]
• The remaining items in Yen's reference list — Goodman (2005, likely Introduction to Fourier Optics), Born & Wolf-style reference "Born, 1999" (likely Principles of Optics), Lummer (1910), and an unidentified 1900s Astrophysical Journal article (DOI 10.1086/142271) — were not investigated; possible context for how the field's textbooks have historically framed the Rayleigh/Abbe distinction.
• SPIE's own article page and ResearchGate's mirror both failed every tooling route this session (Incapsula bot-block; HTTP 403) — a manual-consultation item for a future session with different access (e.g., institutional login, SPIE print copy), if the full-text mechanistic detail becomes load-bearing for a future claim-note.

Entity candidates

• Ernst Abbe — person — the FOUNDATIONAL figure the whole re-attribution rests on; his 1873/1882 diffraction-theory papers (cited directly in Yen's reference list) are the primary work Yen argues actually originated the formula, displacing Rayleigh's name from it. Already present in the vault via claim-carl-zeiss-foundation-paired-employee-ownership-with-early-labor-reforms and claim-zeiss-smt-is-sole-supplier-of-euv-optics-behind-most-advanced-chips; this capture is the physics half of that same Abbe thread.
• Lord Rayleigh (John William Strutt) — person — the traditionally-credited originator being displaced; his 1879 Philosophical Magazine paper "Investigations in optics, with special reference to the spectroscope" is the specific primary Yen's title poses against Abbe.
• Anthony Yen — person — sole author of the 2020 re-attribution paper; per Crossref, affiliated with ASML Technology Development Center, San Jose, CA at time of publication (separately, has a long public record of TSMC lithography leadership in other periods, not independently verified this session).
• Journal of Micro/Nanolithography, MEMS, and MOEMS (SPIE) — concept/venue — the peer-reviewed journal of record; ISSN 1932-5150; its own article pages are Incapsula-bot-blocked to this vault's tooling, a fact worth recording in sources.md's known-blocked list on a future pass.
• Numerical aperture — concept — the NA term in the 0.5λ/NA formula; Abbe's 1873 paper is credited (in secondary search results, not independently read) with introducing the concept.