DOI: 10.1063/1.1650548. Analytical solution of the almost-perfect-lens problem

Analytical solution of the almost-perfect-lens problem

10.1063/1.1650548

Crossref journal-article

AIP Publishing

Applied Physics Letters (317)

Abstract

The problem of imaging for a slab of a lossless left-handed material with refractive index n=−(1−σ)1/2 is solved analytically for |σ|≪1. The electromagnetic field behavior is determined largely by singularities arising from the excitation of surface polaritons with wave vector q→±∞. Depending on the sign of σ, the near-field is either odd or even with respect to the lens middle plane. Consistent with other nonanalytical studies, the resolution depends logarithmically on |σ|. With minor alterations, these results apply as well to the electrostatic limit.

Bibliography

Merlin, R. (2004). Analytical solution of the almost-perfect-lens problem. Applied Physics Letters, 84(8), 1290â1292.

Authors 1

R. Merlin (first)

References 30 Referenced 140

10.1007/BF02956173 / Arch. Mikrosk. Anat. (1873)
10.1103/PhysRevLett.88.163901 / Phys. Rev. Lett. (2002)
10.1016/0030-4018(94)00662-E / Opt. Commun. (1995)
10.1063/1.1313368 / Appl. Phys. Lett. (2000)
10.1016/S0079-6816(98)00004-5 / Prog. Surf. Sci. (1997)
10.1103/PhysRevLett.85.3966 / Phys. Rev. Lett. (2000)
10.1070/PU1968v010n04ABEH003699 / Sov. Phys. Usp. (1968)
10.1103/PhysRevLett.84.4184 / Phys. Rev. Lett. (2000)
10.1063/1.1343489 / Appl. Phys. Lett. (2001)
10.1126/science.1058847 / Science (2001)
10.1103/PhysRevE.65.036622 / Phys. Rev. B (2002)
10.1063/1.1471933 / Appl. Phys. Lett. (2002)
10.1016/S0038-1098(02)00553-7 / Solid State Commun. (2002)
10.1103/PhysRevLett.89.257401 / Phys. Rev. Lett. (2002)
10.1103/PhysRevB.65.201104 / Phys. Rev. B (2002)
10.1103/PhysRevE.66.067603 / Phys. Rev. E (2002)
10.1103/PhysRevB.67.035109 / Phys. Rev. B (2003)
10.1103/PhysRevLett.90.077405 / Phys. Rev. Lett. (2003)
10.1103/PhysRevLett.87.249701 / Phys. Rev. Lett. (2001)
10.1103/PhysRevE.64.056625 / Phys. Rev. E (2001)
10.1103/PhysRevLett.88.187401 / Phys. Rev. Lett. (2002)
10.1103/PhysRevLett.88.207403 / Phys. Rev. Lett. (2002)
F. D. M. Haldane , cond-mat/0206420.
J. B. Pendry , cond-mat/0206561.
10.1103/PhysRevLett.90.077401 / Phys. Rev. Lett. (2003)
10.1063/1.1554779 / Appl. Phys. Lett. (2003)
10.1103/PhysRevLett.90.107402 / Phys. Rev. Lett. (2003)
10.1103/PhysRevLett.90.137401 / Phys. Rev. Lett. (2003)
{'key': '2024020402331933000_r28'}
10.1016/S0375-9601(00)00694-0 / Phys. Lett. A (2000)

Dates

Type	When
Created	21 years, 6 months ago (Feb. 12, 2004, 6:03 p.m.)
Deposited	1 year, 7 months ago (Feb. 3, 2024, 9:33 p.m.)
Indexed	5 months ago (April 5, 2025, 3:05 a.m.)
Issued	21 years, 6 months ago (Feb. 23, 2004)
Published	21 years, 6 months ago (Feb. 23, 2004)
Published Print	21 years, 6 months ago (Feb. 23, 2004)

Funders 0

None

BibTeX

@article{Merlin_2004, title={Analytical solution of the almost-perfect-lens problem}, volume={84}, ISSN={1077-3118}, url={http://dx.doi.org/10.1063/1.1650548}, DOI={10.1063/1.1650548}, number={8}, journal={Applied Physics Letters}, publisher={AIP Publishing}, author={Merlin, R.}, year={2004}, month=feb, pages={1290–1292} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2025,
        4,
        5
      ]
    ],
    "date-time": "2025-04-05T07:05:16Z",
    "timestamp": 1743836716199
  },
  "reference-count": 30,
  "publisher": "AIP Publishing",
  "issue": "8",
  "content-domain": {
    "domain": [
      "pubs.aip.org"
    ],
    "crossmark-restriction": true
  },
  "published-print": {
    "date-parts": [
      [
        2004,
        2,
        23
      ]
    ]
  },
  "abstract": "<jats:p>The problem of imaging for a slab of a lossless left-handed material with refractive index n=\u2212(1\u2212\u03c3)1/2 is solved analytically for |\u03c3|\u226a1. The electromagnetic field behavior is determined largely by singularities arising from the excitation of surface polaritons with wave vector q\u2192\u00b1\u221e. Depending on the sign of \u03c3, the near-field is either odd or even with respect to the lens middle plane. Consistent with other nonanalytical studies, the resolution depends logarithmically on |\u03c3|. With minor alterations, these results apply as well to the electrostatic limit.</jats:p>",
  "DOI": "10.1063/1.1650548",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2004,
        2,
        12
      ]
    ],
    "date-time": "2004-02-12T23:03:44Z",
    "timestamp": 1076627024000
  },
  "page": "1290-1292",
  "update-policy": "http://dx.doi.org/10.1063/aip-crossmark-policy-page",
  "source": "Crossref",
  "is-referenced-by-count": 140,
  "title": "Analytical solution of the almost-perfect-lens problem",
  "prefix": "10.1063",
  "volume": "84",
  "author": [
    {
      "given": "R.",
      "family": "Merlin",
      "sequence": "first",
      "affiliation": [
        {
          "name": "FOCUS Center and Department of Physics, The University of Michigan, Ann Arbor, Michigan\u200948109-1120"
        }
      ]
    }
  ],
  "member": "317",
  "reference": [
    {
      "key": "2024020402331933000_r1",
      "doi-asserted-by": "crossref",
      "first-page": "413",
      "DOI": "10.1007/BF02956173",
      "volume": "9",
      "year": "1873",
      "journal-title": "Arch. Mikrosk. Anat."
    },
    {
      "key": "2024020402331933000_r2",
      "doi-asserted-by": "crossref",
      "first-page": "163901",
      "DOI": "10.1103/PhysRevLett.88.163901",
      "volume": "88",
      "year": "2002",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020402331933000_r2a",
      "doi-asserted-by": "crossref",
      "first-page": "115",
      "DOI": "10.1016/0030-4018(94)00662-E",
      "volume": "115",
      "year": "1995",
      "journal-title": "Opt. Commun."
    },
    {
      "key": "2024020402331933000_r3",
      "doi-asserted-by": "crossref",
      "first-page": "2109",
      "DOI": "10.1063/1.1313368",
      "volume": "77",
      "year": "2000",
      "journal-title": "Appl. Phys. Lett."
    },
    {
      "key": "2024020402331933000_r4",
      "doi-asserted-by": "crossref",
      "first-page": "133",
      "DOI": "10.1016/S0079-6816(98)00004-5",
      "volume": "56",
      "year": "1997",
      "journal-title": "Prog. Surf. Sci."
    },
    {
      "key": "2024020402331933000_r5",
      "doi-asserted-by": "crossref",
      "first-page": "3966",
      "DOI": "10.1103/PhysRevLett.85.3966",
      "volume": "85",
      "year": "2000",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020402331933000_r6",
      "doi-asserted-by": "crossref",
      "first-page": "509",
      "DOI": "10.1070/PU1968v010n04ABEH003699",
      "volume": "10",
      "year": "1968",
      "journal-title": "Sov. Phys. Usp."
    },
    {
      "key": "2024020402331933000_r7",
      "doi-asserted-by": "crossref",
      "first-page": "4184",
      "DOI": "10.1103/PhysRevLett.84.4184",
      "volume": "84",
      "year": "2000",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020402331933000_r8",
      "doi-asserted-by": "crossref",
      "first-page": "489",
      "DOI": "10.1063/1.1343489",
      "volume": "78",
      "year": "2001",
      "journal-title": "Appl. Phys. Lett."
    },
    {
      "key": "2024020402331933000_r9",
      "doi-asserted-by": "crossref",
      "first-page": "77",
      "DOI": "10.1126/science.1058847",
      "volume": "292",
      "year": "2001",
      "journal-title": "Science"
    },
    {
      "key": "2024020402331933000_r10",
      "doi-asserted-by": "crossref",
      "first-page": "036622",
      "DOI": "10.1103/PhysRevE.65.036622",
      "volume": "65",
      "year": "2002",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2024020402331933000_r11",
      "doi-asserted-by": "crossref",
      "first-page": "3286",
      "DOI": "10.1063/1.1471933",
      "volume": "80",
      "year": "2002",
      "journal-title": "Appl. Phys. Lett."
    },
    {
      "key": "2024020402331933000_r12",
      "doi-asserted-by": "crossref",
      "first-page": "283",
      "DOI": "10.1016/S0038-1098(02)00553-7",
      "volume": "124",
      "year": "2002",
      "journal-title": "Solid State Commun."
    },
    {
      "key": "2024020402331933000_r13",
      "doi-asserted-by": "crossref",
      "first-page": "257401",
      "DOI": "10.1103/PhysRevLett.89.257401",
      "volume": "89",
      "year": "2002",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020402331933000_r14",
      "doi-asserted-by": "crossref",
      "first-page": "201104",
      "DOI": "10.1103/PhysRevB.65.201104",
      "volume": "65",
      "year": "2002",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2024020402331933000_r15",
      "doi-asserted-by": "crossref",
      "first-page": "067603",
      "DOI": "10.1103/PhysRevE.66.067603",
      "volume": "66",
      "year": "2002",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "2024020402331933000_r16",
      "doi-asserted-by": "crossref",
      "first-page": "035109",
      "DOI": "10.1103/PhysRevB.67.035109",
      "volume": "67",
      "year": "2003",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2024020402331933000_r17",
      "doi-asserted-by": "crossref",
      "first-page": "077405",
      "DOI": "10.1103/PhysRevLett.90.077405",
      "volume": "90",
      "year": "2003",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020402331933000_r18",
      "doi-asserted-by": "crossref",
      "first-page": "249701",
      "DOI": "10.1103/PhysRevLett.87.249701",
      "volume": "87",
      "year": "2001",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020402331933000_r19",
      "doi-asserted-by": "crossref",
      "first-page": "056625",
      "DOI": "10.1103/PhysRevE.64.056625",
      "volume": "64",
      "year": "2001",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "2024020402331933000_r20",
      "doi-asserted-by": "crossref",
      "first-page": "187401",
      "DOI": "10.1103/PhysRevLett.88.187401",
      "volume": "88",
      "year": "2002",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020402331933000_r21",
      "doi-asserted-by": "crossref",
      "first-page": "207403",
      "DOI": "10.1103/PhysRevLett.88.207403",
      "volume": "88",
      "year": "2002",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020402331933000_r22",
      "unstructured": "F. D. M. \n            Haldane\n          , cond-mat/0206420."
    },
    {
      "key": "2024020402331933000_r23",
      "unstructured": "J. B. \n            Pendry\n          , cond-mat/0206561."
    },
    {
      "key": "2024020402331933000_r24",
      "doi-asserted-by": "crossref",
      "first-page": "077401",
      "DOI": "10.1103/PhysRevLett.90.077401",
      "volume": "90",
      "year": "2003",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020402331933000_r25",
      "doi-asserted-by": "crossref",
      "first-page": "1506",
      "DOI": "10.1063/1.1554779",
      "volume": "82",
      "year": "2003",
      "journal-title": "Appl. Phys. Lett."
    },
    {
      "key": "2024020402331933000_r26",
      "doi-asserted-by": "crossref",
      "first-page": "107402",
      "DOI": "10.1103/PhysRevLett.90.107402",
      "volume": "90",
      "year": "2003",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020402331933000_r27",
      "doi-asserted-by": "crossref",
      "first-page": "137401",
      "DOI": "10.1103/PhysRevLett.90.137401",
      "volume": "90",
      "year": "2003",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020402331933000_r28"
    },
    {
      "key": "2024020402331933000_r29",
      "doi-asserted-by": "crossref",
      "first-page": "61",
      "DOI": "10.1016/S0375-9601(00)00694-0",
      "volume": "277",
      "year": "2000",
      "journal-title": "Phys. Lett. A"
    }
  ],
  "updated-by": [
    {
      "updated": {
        "date-parts": [
          [
            2004,
            9,
            13
          ]
        ],
        "date-time": "2004-09-13T00:00:00Z",
        "timestamp": 1095033600000
      },
      "DOI": "10.1063/1.1789572",
      "type": "correction",
      "source": "publisher",
      "label": "Correction"
    }
  ],
  "container-title": "Applied Physics Letters",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "https://pubs.aip.org/aip/apl/article-pdf/84/8/1290/18586601/1290_1_online.pdf",
      "content-type": "application/pdf",
      "content-version": "vor",
      "intended-application": "syndication"
    },
    {
      "URL": "https://pubs.aip.org/aip/apl/article-pdf/84/8/1290/18586601/1290_1_online.pdf",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2024,
        2,
        4
      ]
    ],
    "date-time": "2024-02-04T02:33:29Z",
    "timestamp": 1707014009000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "https://pubs.aip.org/apl/article/84/8/1290/510848/Analytical-solution-of-the-almost-perfect-lens"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        2004,
        2,
        23
      ]
    ]
  },
  "references-count": 30,
  "journal-issue": {
    "issue": "8",
    "published-print": {
      "date-parts": [
        [
          2004,
          2,
          23
        ]
      ]
    }
  },
  "URL": "http://dx.doi.org/10.1063/1.1650548",
  "relation": {},
  "ISSN": [
    "0003-6951",
    "1077-3118"
  ],
  "subject": [],
  "published-other": {
    "date-parts": [
      [
        2004,
        2,
        23
      ]
    ]
  },
  "published": {
    "date-parts": [
      [
        2004,
        2,
        23
      ]
    ]
  }
}