Pith Number

pith:PCYMBRY3

pith:2026:PCYMBRY3CNWARTPVZQAHVPUEFF

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Analytic Inverse Design of Temporal Metamaterials via Space-Time Duality

Carlo Rizza, Giuseppe Castaldi, Marino Coppolaro, Massimo Moccia, Nader Engheta, Vincenzo Galdi

Prescribing rational reflection and transmission responses produces closed-form time-varying refractive index profiles for temporal metamaterials.

arxiv:2604.21383 v1 · 2026-04-23 · physics.optics · cond-mat.mtrl-sci

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Claims

C1strongest claim

By prescribing reflection (backward-wave) and transmission (forward-wave) responses in rational-function form, we obtain closed-form refractive-index modulations that are guaranteed to be physically admissible.

C2weakest assumption

That space-time duality permits a direct, lossless transfer of one-dimensional spatial inverse scattering solutions to the temporal modulation domain without introducing unphysical artifacts or requiring additional constraints.

C3one line summary

An analytic inverse-design framework for temporal metamaterials yields closed-form refractive-index modulations from prescribed rational reflection and transmission responses by leveraging space-time duality and one-dimensional spatial inverse scattering theory.

References

33 extracted · 0 resolved · 0 Pith anchors

[1] F. R. Morgenthaler, Velocity mod- ulation of electromagnetic waves, IRE Trans. Microw. Theory Tech. 6, 167 (1958) 1958

[2] A. A. Oliner and A. Hessel, Wave propagation in a medium with a progressive sinusoidal disturbance, IRE Trans. Microw. Theory Tech. 9, 337 (1961) 1961

[3] L. B. Felsen and G. Whitman, Wave propagation in time-varying media, IEEE Trans. Antennas Propagat. 18, 242 (1970) 1970

[4] Fante, Transmission of electromag- netic waves into time-varying media, IEEE Trans 1971

[5] Engheta, Metamaterials with high degrees of freedom: Space, time, and more, Nanophotonics 10, 639 (2021) 2021

Receipt and verification

First computed	2026-05-21T01:05:19.402532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78b0c0c71b136c08cdf5cc007abe84296c86312815011d3a6cc385e2c3014161

Aliases

arxiv: 2604.21383 · arxiv_version: 2604.21383v1 · doi: 10.48550/arxiv.2604.21383 · pith_short_12: PCYMBRY3CNWA · pith_short_16: PCYMBRY3CNWARTPV · pith_short_8: PCYMBRY3

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PCYMBRY3CNWARTPVZQAHVPUEFF \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 78b0c0c71b136c08cdf5cc007abe84296c86312815011d3a6cc385e2c3014161

Canonical record JSON

{
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    "abstract_canon_sha256": "dfef8fa4c60a4894a85f2b949f90fc281faa4a07e3b86df01dc4fe1e99187e06",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-04-23T07:52:16Z",
    "title_canon_sha256": "f64abd5dea56cd036bfa33245fe15d58b4f0c04a6d73d7264af13168488e552c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.21383",
    "kind": "arxiv",
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}