# Publications for Christopher Linton

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## Journal Articles

**Linton, C**and Thompson, I (2018) Elastic waves trapped above a cylindrical cavity,

*SIAM Journal on Applied Mathematics*, ISSN: 1095-712X. DOI: 10.1137/17M1155296.

**Linton, C**and Thompson, I (2015) Oblique Rayleigh wave scattering by a cylindrical cavity,

*The Quarterly Journal of Mechanics and Applied Mathematics*, 68(3), pp.235-261, ISSN: 0033-5614. DOI: 10.1093/qjmam/hbv006. Zalipaev, V,

**Linton, CM**, Croitoru, MD, Vagov, A (2015) Resonant tunneling and localized states in a graphene monolayer with a mass gap,

*Physical Review B*, 91(8), 085405, ISSN: 1098-0121. DOI: 10.1103/physrevb.91.085405.

**Linton, C**(2015) Two-dimensional, phase modulated lattice sums with application to the Helmholtz Green's function,

*Journal of Mathematical Physics*, 56(1), ISSN: 0022-2488. DOI: 10.1063/1.4905732. Zalipaev, VV, Maksimov, DN,

**Linton, CM**, Kusmartsev, FV (2013) Spectrum of localized states in graphene quantum dots and wires,

*Physics Letters, Section A: General, Atomic and Solid State Physics*, 377(3-4), pp.216-221, ISSN: 0375-9601. DOI: 10.1016/j.physleta.2012.11.028.

**Linton, CM**, Zalipaev, V, Thompson, I (2013) Electromagnetic guided waves on linear arrays of spheres,

*Wave Motion*, 50(1), pp.29-40, ISSN: 0165-2125. DOI: 10.1016/j.wavemoti.2012.06.002. Zalipaev, VV and

**Linton, CM**(2013) Semiclassical analysis of tunneling through a smooth potential barrier and localized states in graphene monolayer with mass gap,

*Nanosystems: Physics, Chemistry, Mathematics*, 4(6), pp.721-746.

**Linton, CM**, Zalipaev, V, Thompson, I (2012) Electromagnetic guided waves on linear arrays of spheres,

*Wave Motion*, ISSN: 0165-2125. Zalipaev, VV, Maksimov, DN,

**Linton, CM**, Kusmartsev, FV (2012) Spectrum of localized states in graphene quantum dots and wires,

*Physics Letters, Section A: General, Atomic and Solid State Physics*, ISSN: 0375-9601.

**Linton, CM**(2011) Water waves over arrays of horizontal cylinders: band gaps and Bragg resonance,

*Journal of Fluid Mechanics*, 670(2011), pp.504-526, DOI: 10.1017/S0022112010005471.

**Linton, CM**and Martin, PA (2010) Waves in Random and Complex Media: Introduction,

*Waves in Random and Complex Media*, 20(4), p.529, ISSN: 1745-5030. DOI: 10.1080/17455030.2010.527707.

**Linton, CM**(2010) Guest Editorial,

*Mathematics Today*, 46(2), pp.54-55. Thompson, I and

**Linton, CM**(2010) Guided Surface Waves on One-and Two-Dimensional Arrays of Spheres,

*Siam J. Appl. Math*, 70(8), pp.2975-2995. Thompson, I and

**Linton, CM**(2010) Euler-Maclaurin summation and Schlomilch series,

*Quarterly Journal of Mechanics and Applied Mathematics*, 63(1), pp.39-56, DOI: 10.1093/qjmam/hbp022.

**Linton, CM**(2010) Lattice sums for the Helmholtz equation,

*SIAM Review*, 52(4), pp.630-674, DOI: 10.1137/09075130X.

**Linton, CM**(2010) Towards a three-dimensional model of wave-ice interaction in the marginal ice zone,

*Journal of Fluid Mechanics*, 662, pp.1-14, DOI: 10.1017/S0022112010004258.

**Linton, CM**and Martin, PA (2010) Green's Function and Multiple Methods for Wave Diffraction Problems Introduction,

*WAVES IN RANDOM AND COMPLEX MEDIA*, 20(4), pp.529-529, ISSN: 1745-5030. DOI: 10.1080/17455030.2010.527707.

**Linton, CM**and Thompson, I (2009) One and two dimensional lattice sums for the three-dimensional Helmholtz equation,

*Journal of Computational Physics*, 228(6), pp.1815-1829.

**Linton, CM**(2009) Two Astronomical Anniversaries,

*Mathematics Today*, 45(1), pp.22-25.

**Linton, CM**(2009) Accurate solution to scattering by a semi-circular groove,

*Wave Motion*, 46, pp.200-209. Thompson, I,

**Linton, CM**, Porter, R (2008) A new approximation method for scattering by long finite arrays,

*Quarterly Journal on Mechanics and Applied Mathematics*, 61(3), pp.333-352. Thompson, I and

**Linton, CM**(2008) An interaction theory for scattering by defects in arrays,

*SIAM Journal on Applied Mathematics*, 68(6), pp.1783-1806. Thompson, I and

**Linton, CM**(2007) On the excitation of a closely spaced array by a line source,

*IMA Journal of Applied Mathematics*, 72(4), pp.476-497, DOI: 10.1093/imamat/hxm014.

**Linton, CM**, Porter, R, Thompson, I (2007) Scattering by a semi-infinite periodic array and the excitation of surface waves,

*SIAM Journal on Applied Mathematics*, 67(5), pp.1233-1258, DOI: 10.1137/060672662. Duan, Y, McIver, M, Koch, W,

**Linton, CM**(2007) Complex resonances and trapped modes in ducted domains,

*Journal of Fluid Mechanics*, 571, pp.119-147, ISSN: 1469-7645. DOI: 10.1017/S0022112006003259.

**Linton, CM**and Thompson, I (2007) Resonant effects in scattering by periodic arrays,

*Wave Motion*, 44(3), pp.165-175, DOI: 10.1016/j.wavemoti.2006.09.002.

**Linton, CM**and McIver, P (2007) Embedded trapped modes in water waves and acoustics,

*Wave Motion*, 45, pp.16-29, DOI: 10.1016/J.wavemoti.2007.04.009. Umnova, O, Attenborough, K,

**Linton, CM**(2006) Effects of covering on sound attenuation by periodic arrays of cylinders,

*Institute of Acoustics - Spring Conference Futures in Acoustics 2006: Today's Research - Tomorrow's Careers*, 2, pp.485-492.

**Linton, CM**(2006) Schlomilch series that arise in diffraction theory and their efficient computation,

*Journal of Physics A: Mathematical and General*, 39(13), pp.3325-3339, ISSN: 1361-6447. DOI: 10.1088/0305-4470/39/13/012. Peter, MA, Meylan, MH,

**Linton, CM**(2006) Water-Wave Scattering by a Periodic Array of Arbitrary Bodes,

*Journal of Fluid Mechanics*, 548, pp.237-256.

**Linton, CM**and Martin, PA (2006) Multiple scattering by multiple spheres: A new proof of the Lloyd-Berry formula for the effective wavenumber,

*SIAM Journal on Applied Mathematics*, 66, pp.1649-1668, DOI: 10.1137/050636401. Umnova, O, Attenborough, K,

**Linton, CM**(2006) Effects of porous covering on sound attenuation by periodic arrays of cylinders,

*Journal of the Acoustical Society of America*, 119(1), pp.278-284, DOI: 10.1121/1.2133715. Attenborough, K, Boulanger, P, Qin, Q,

**Linton, CM**(2005) Developments in modelling acoustical effects of surface roughness,

*Forum Acusticum Budapest 2005: 4th European Congress on Acustics*, pp.1063-1068.

**Linton, CM**and Martin, PA (2005) Multiple scattering by random configurations of circular cylinders: Second-order corrections for the effective wavenumber,

*Journal of the Acoustical Society of America*, 117(6), pp.3413-3423, ISSN: 0001-4966. DOI: 10.1121/1.1904270. Chung, H and

**Linton, CM**(2005) Reflection and transmission of waves across a gap between two semi-infinite elastic plates on water,

*QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS*, 58, pp.1-15, ISSN: 0033-5614. DOI: 10.1093/qjmamj/hbh011. Hyuck, C and

**Linton, CM**(2005) Reflection and Transmission Across a Finite Gap in an Infinite Elastic Plate on Water,

*Quarterly Journal of Mechanics and Applied Mathematics*, 58(1), pp.1-15, ISSN: 0033-5614. Boulanger, P, Attenborough, K, Qin, Q,

**Linton, CM**(2005) Reflection of Sound from Random Distributions of Semi-Cylinders on a Smooth Hard Surface: Models and Data,

*Journal of Physics D*, 38, pp.3480-3490.

**Linton, CM**and Barnett, DC (2004) Correction for Linton and Barnett, Efficient computation of Schlömilch-type series,

*Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences*, 460(2052), pp.3673-3673, ISSN: 1364-5021. DOI: 10.1098/rspa.2004.2000.

**Linton, CM**and Martin, PA (2004) Semi-infinite arrays of isotropic point scatterers. A unified approach,

*SIAM Journal on Applied Mathematics*, 64(3), pp.1035-1056, ISSN: 0036-1399. DOI: 10.1137/S0036139903427891.

**Linton, CM**and Ratcliffe, K (2004) Bound States in Coupled Guides I: Two dimensions,

*Journal of Mathematical Physics*, 45(4), pp.1359-1379, ISSN: 0022-2488. DOI: 10.1063/1.1675931.

**Linton, CM**and Ratcliffe, K (2004) Bound states in coupled guides. II. Three dimensions,

*JOURNAL OF MATHEMATICAL PHYSICS*, 45(4), pp.1380-1393, ISSN: 0022-2488. DOI: 10.1063/1.1675932.

**Linton, CM**and Barnett, DC (2004) Efficient Computation of Schlomilch-Type Series,

*Proceedings of the Royal Society A*, 460, pp.1177-1191.

**Linton, CM**and Ratcliffe, K (2004) Bound States in Coupled Waveguides II: Three dimensions,

*Journal of Mathematics Physics*, 45(4), pp.1380-1393.

**Linton, CM**and Chung, H (2003) Reflection and transmission at the ocean/sea-ice boundary,

*WAVE MOTION*, 38(1), pp.43-52, ISSN: 0165-2125. DOI: 10.1016/S0165-2125(03)00003-9.

**Linton, CM**and Cadby, JR (2003) Trapped Modes in a Two-Layer Fluid,

*Journal of Fluid Mechanics*, 481, pp.215-234, ISSN: 0022-1120.

**Linton, CM**and Hyuck, C (2003) Reflection and Transmission at the Ocean/Sea-Ice Boundary,

*Wave Motion*, 38(1), pp.43-52, ISSN: 0165-2125.

**Linton, CM**, McIver, M, McIver, P, Ratcliffe, K, Zhang, J (2002) Trapped Modes for Off-Centre Structures in Guides,

*Wave Motion*, 36, pp.67-85, ISSN: 0165-2125.

**Linton, CM**and McIver, M (2002) The Existence of Rayleigh-Bloch Surface Waves,

*Journal of Fluid Mechanics*, 470, pp.85-90, ISSN: 0022-1120.

**Linton, CM**and Cadby, JR (2002) Scattering of Oblique Waves in a Two-Layer Fluid,

*Journal of Fluid Mechanics*, 461, pp.343-364, ISSN: 0022-1120. McIver, M,

**Linton, CM**, Zhang, J (2002) The Branch Structure of Embedded Trapped Modes in a Two-Dimensional Waveguides,

*Quarterly Journal Mechanics in Applied Mathematics*, 55(2), pp.313-326, ISSN: 0033-5614.

**Linton, CM**and McIver, M (2002) Periodic Structures in Waveguides,

*Proceedings of the Royal Society A*, 458, pp.3003-3022, ISSN: 1364-5021. Kuznetsov, N, McIver, P,

**Linton, CM**(2001) On Uniqueness and Trapped Modes in the Water-Wave Problem for Vertical Barriers,

*Wave Motion*, 33, pp.283-307, ISSN: 0165-2125. DOI: 10.1016/S0165-2125(00)00069-X. McIver, M,

**Linton, CM**, McIver, P, Zhang, J, Porter, R (2001) Embedded Trapped Modes for Obstacles in Two-Dimensional Waveguides,

*Quarterly Journal of Mechanics and Applied Mathematics*, 54(2), pp.PP 273-293, ISSN: 0033-5614.

**Linton, CM**(2001) The Finite Dock Problem,

*Journal for Applied Mathematics and Physics (ZAMP)*, 52, pp.640-656, ISSN: 0044-2275.

**Linton, CM**and McIver, P (2000) Green's functions for water waves in porous structures,

*APPLIED OCEAN RESEARCH*, 22(1), pp.1-12, ISSN: 0141-1187. DOI: 10.1016/S0141-1187(99)00027-9. Cadby, JR and

**Linton, CM**(2000) Three-Dimensional Water-Wave Scattering in Two-Layer Fluids,

*Journal of Fluid Mechanics*, 423, pp.155-173, ISSN: 0022-1120.

**Linton, CM**and McIver, P (2000) Green's functions for water waves in porous structures,

*Applied Ocean Research*, 22(1), pp.1-12, ISSN: 0141-1187.

**Linton, CM**(1999) Rapidly Convergent Representations for Green's Functions for Laplace's Equation,

*Proceedings of the Royal Society A*, 455, pp.1767-1797, ISSN: 1364-5021.

**Linton, CM**(1999) A New Representation for the Free-Surface Channel Green's Function,

*Applied Ocean Research*, 21, pp.17-25.

**Linton, CM**and Mciver, M (1998) Trapped modes in cylindrical waveguides,

*Quarterly Journal of Mechanics and Applied Mathematics*, 51(3), ISSN: 0033-5614.

**Linton, CM**and McIver, M (1998) Trapped Modes in Cylindrical Waveguides,

*Quarterly Journal of Mechanics Applied and Mathematics*, 51(3), pp.389-412. McIver, P,

**Linton, CM**, McIver, M (1998) Construction of Trapped Modes for Wave Guides and Diffraction Gratings,

*Proceedings of the Royal Society of London A*, 454, pp.2593-2616, ISSN: 1364-5021.

**Linton, CM**(1998) The Green's Function for the Two-Dimensional Helmholtz Equation in Periodic Domains,

*Journal of Engineering Mathematics*, 33, pp.377-402, ISSN: 0022-0833.

**Linton, CM**and McIver, P (1998) Acoustic Resonances in the Presence of Radial Fins in Circular Cylindrical Waveguides,

*Wave Motion*, 28(2), pp.99-117, ISSN: 0165-2125.

**Linton, CM**and Kuznetsov, NG (1997) Non-Uniqueness in Two-Dimensional Water Wave Problems: Numerical Evidence and Geometrical Restrictions,

*Proceedings of the Royal Society A*, 453, pp.2437-2460, ISSN: 1364-5021.

**Linton, CM**and McIver, P (1996) The Scattering of Water Waves by an Array of Circular Cylinders in a Channel,

*Journal of Engineering Mathematics*, 30, pp.661-682.

**Linton, CM**(1995) Acoustic Scattering by a Sphere in a Circular Cylindrical Waveguide,

*Quarterly Journal of Mechanics and Applied Mathematics*, 48(2), pp.211-235, ISSN: 0033-5614.

**Linton, CM**(1995) Multipole Methods for Boundary-Value Problems involving a Sphere in a Tube,

*IMA Journal of Applied Mathematics*, 55, pp.187-204, ISSN: 0272-4960. McIver, M and

**Linton, CM**(1995) On the Non-Existence of Trapped Modes in Acoustic Waveguides,

*Quarterly Journal of Mechanics and Applied Mathematics*, 48(4), pp.543-555, ISSN: 0033-5614.

**Linton, CM**and McIver, M (1995) The Interaction of Waves with Horizontal Cylinders in Two-Layer Fluids,

*Journal of Fluid Mechanics*, 304, pp.213-229, ISSN: 0022-1120. Evans, DV and

**Linton, CM**(1994) Acoustic Resonance in Ducts,

*Journal of Sound and Vibration*, 173(1), pp.85-94, ISSN: 0022-460X. DOI: 10.1006/jsvi.1994.1219. Evans, DV and

**Linton, CM**(1994) Acoustic Resonance in Ducts,

*Journal of Sound and Vibration*, 173(1), pp.85-94. Evans, DV and

**Linton, CM**(1994) On Step Approximations for Water Wave Problems,

*Journal of Fluid Mechanics*, 278, pp.229-249. McIver, P and

**Linton, CM**(1994) Mean Drift Forces on Arrays of Axisymmetric Structures in Wave Tank,

*Applied Ocean Research*, 16(6), pp.327-335, ISSN: 0141-1187. MCIVER, P and

**LINTON, CM**(1994) MEAN-DRIFT FORCES ON ARRAYS OF AXISYMMETRICAL STRUCTURES IN A WAVE TANK,

*APPLIED OCEAN RESEARCH*, 16(6), pp.327-335, ISSN: 0141-1187. DOI: 10.1016/0141-1187(94)00026-3. Lawrie, JB, Abrahams, ID,

**Linton, CM**(1993) Acoustic radiation from two opposed semi-infinite coaxial cylindrical waveguides. I: overlapping edges,

*Wave Motion*, 18(2), pp.121-142, ISSN: 0165-2125. DOI: 10.1016/0165-2125(93)90044-g. Evans, DV and

**Linton, CM**(1993) Edge Waves Along Periodic Coastlines,

*Quarterly Journal of Mechanics and Applied Mathematics*, 46(4), pp.643-656. Evans, DV and

**Linton, CM**(1993) Sloshing Frequencies,

*Quarterly Journal of Mechanics and Applied Mathematics*, 46(1), pp.71-87. Evans, DV,

**Linton, CM**, Ursell, F (1993) Trapped Mode Frequencies Embedded in the Continuous Spectrum,

*Quarterly Journal of Mechanics and Applied Mathematics*, 46(2), pp.253-274.

**Linton, CM**and Evans, DV (1993) Hydrodynamic Characteristics of Bodies in Channels,

*Journal of Fluid Mechanics*, 252, pp.647-666.

**Linton, CM**(1993) On the Free Surface Green's Function for Channel Problems,

*Applied Ocean Research*, 15, pp.263-267, ISSN: 0141-1187. Lawrie, JB, Abrahams, ID,

**Linton, CM**(1993) Acoustic Radiation from Two Opposed Semi-Infinite Co-Axial Cylindrical Waveguides. I: Overlapping Edges,

*Wave Motion*, 18(2), pp.121-142.

**Linton, CM**and Evans, DV (1993) Acoustic Scattering by an Array of Parallel Plates,

*Wave Motion*, 18, pp.51-65.

**Linton, CM**and Evans, DV (1993) The interaction of waves with a row of circular cylinders,

*Journal of Fluid Mechanics*, 251, pp.687-708.

**Linton, CM**and Evans, DV (1992) The Radiation and Scattering of Surface Waves by a Vertical Circular Cylinder in a Channel,

*Philosophical Transactions of the Royal Society*, A338, pp.325-357.

**Linton, CM**and Evans, DV (1992) Integral Equations for a Class of Problems Concerning Obstacles in Waveguides,

*Journal of Fluid Mechanics*, 245, pp.349-365. MCIVER, P and

**LINTON, CM**(1991) THE ADDED MASS OF BODIES HEAVING AT LOW-FREQUENCY IN WATER OF FINITE DEPTH,

*APPLIED OCEAN RESEARCH*, 13(1), pp.12-17, ISSN: 0141-1187. DOI: 10.1016/S0141-1187(05)80036-7. Evans, DV and

**Linton, CM**(1991) Trapped modes in open channels,

*Journal of Fluid Mechanics*, 225, pp.153-175. McIver, P and

**Linton, CM**(1991) The added mass of bodies heaving at low frequencies in water of finite depth,

*Applied Ocean Research*, 13(1), pp.12-17.

**Linton, CM**(1991) Radiation and diffraction of water waves by a submerged sphere in finite depth,

*Ocean Engineering*, 18(1/2), pp.61-74. Evans, DV and

**Linton, CM**(1991) Submerged floating breakwaters,

*ASME Journal of Offshore Mechanics and Arctic Engineering*, 113(3), pp.205-210. Callan, MA,

**Linton, CM**, Evans, DV (1991) Trapped modes in two-dimenstional waveguides,

*Journal of Fluid Mechanics*, 229, pp.51-64.

**Linton, CM**and Evans, DV (1991) Trapped modes above a submerged horizontal plate,

*Quarterly Journal of Mechanics and Applied Mathematics*, 44(3), pp.487-506.

**Linton, CM**(1991) Radiation and diffraction of water waves by a submerged sphere in finite depth,

*Ocean Engineering*, 18(1-2), pp.61-74, ISSN: 0029-8018. DOI: 10.1016/0029-8018(91)90034-n.

**Linton, CM**and Evans, DV (1990) The interaction of waves with arrays of vertical circular cylinders,

*Journal of Fluid Mechanics*, 215, pp.549-569. Evans, DV and

**Linton, CM**(1989) Active devices for the reduction of wave intensity,

*Applied Ocean Research*, 11(1), pp.26-32. Evans, DV and

**Linton, CM**(1989) Active devices for the reduction of wave intensity,

*Applied Ocean Research*, 11(1), pp.26-32, ISSN: 0141-1187. DOI: 10.1016/0141-1187(89)90004-7.

## Conferences

Thompson, I and**Linton, CM**(2009) Surface waves on a lattice of spheres. In

*Days of Diffraction*, St Petersburg. Thompson, I,

**Linton, CM**, Porter, R (2007) A new approximation method for scattering by large arrays. In

*Proceedings of the 22nd International Workshop on Water Waves and Floating Bodies*, Plitvice, Croatia, pp.193-196. Thompson, I and

**Linton, CM**(2007) An embedding method for scattering by defective arrays. In

*The 8th International Conference on Mathematical and Numercial Aspects of Waves*, Proceedings of Waves 2007, Reading, pp.203-205. Thompson, I and

**Linton, CM**(2006) Resonant effects in scattering by periodic arrays. In

*Proceedings of the 21st International Workshop on Water Waves and Floating Bodies*, Loughborough University, UK, pp.173-176. Umnova, O, Attenborough, K,

**Linton, CM**(2006) Effects of covering on sound attenuation by periodic arrays of cylinders. In

*Proceedings of the Institute of Acoustics Spring Meeting*, Southampton, UK. Peter, M, Meylan, M,

**Linton, CM**(2006) Scattering of water waves by arbitrary arrays of bodies. In

*Proceedings of the 21st International Workshop on Water Waves and Floating Bodies*, Loughborough University, UK, pp.145-148.

**Linton, CM**and Martin, PA (2005) A Long-Wave Multiple Scattering Theory. In

*Proceedings of the 20th International Workshop on Water Waves & Floating Bodes*, Longyearbyen, Spitsbergen.

**Linton, CM**(2004) Scattering by a semi-infinite array of vertical circular cylinders. In Cortona, (ed)

*Proceedings of the 19th International Workshop on Water Waves and Floating Bodies*, Italy. Umnova, A,

**Linton, CM**, Attenborough, K (2004) Multiple Scattering by arrays of large cylinders. In

*Paper 263 in - Proceedings of the 33rd International Congress on Noise Control Engineering*, Prague, Czech Republic.

**Linton, CM**and Chung, H (2003) Wave Reflection by a Sheet of Sea Ice. In

*Proceedings of the Sixth International Conference on Mathematical and Numerical Aspects of Wave Propogation*, Jyvaskyla, Finland, pp.239-244. Chung, H and

**Linton, CM**(2003) Interaction between water waves and elastic plates: Using the residue calculus technique. In

*Proceedings of the 18th International workshop on water waves and floating bodies*, Le Croisic, France, pp.36-40.

**Linton, CM**(2002) Embedding Formulas for Scattering by an Artbitrary Configuration of Parallel Breakwaters. In

*Proceedings of the 17th International Workshop on Water Waves and Floating Bodies*, Cambrige, pp.107-110.

**Linton, CM**(2002) The finite dock problem. In Abrahams, ID, Martin, PA, Simon, MJ (ed)

*IUTAM Symposium on Diffraction and Scattering in Fluid Mechanics and Elasticity*, IUTAM SYMPOSIUM ON DIFFRACTION AND SCATTERING IN FLUID MECHANICS AND ELASTICITY, PROCEEDINGS, MANCHESTER, ENGLAND, pp.45-51, ISBN: 1-4020-0590-3.

**Linton, CM**and McIver, M (2001) Resonances for Cylinder Arrays. In

*Proceedings of the 16th International Workshop on Water Waves and Floating Bodies*, Hiroshima, Japan, pp.101-104.

**Linton, CM**, McIver, P, McIver, M, Zhang, J (2000) Embedded Trapped Modes'. In

*SIAM*, Proceedings of the Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation, Santiago de Compostela, Spain, pp.419-423. Cadby, JR and

**Linton, CM**(2000) Scattering of Oblique Waves in a Two-Layer Fluid. In

*Proceedings of the 15th International Workshop on Water Waves and Floating Bodies*, Caesarea, Israel, pp.20-23. Zhang, J, McIver, M, McIver, P,

**Linton, CM**(2000) Embedded trapped modes for arrays of cylinders. In

*Proceeding of the 15th International Workshop on Water Waves and Floating Bodies*, Caesarea, Israel, pp.195-198.

**Linton, CM**(1999) Invited discussion to "Scattering of Internal Waves by a Cirular Cylinder Submerged in a Stratified Fluid" by N. Gavrilov, E. Ermanyuk & I. Sturova. In

*Proceedings of the 22nd Symposium on Naval Hydrodynamics*, Washington DC, pp.918-919.

**Linton, CM**(1998) Rapidly Convergent Representations for Free-Surface Green's Functions. In

*Proceedings of the 13th International Workshop on Water Waves and Floating Bodies*, Alphen aan den Rijn, The Netherlands, pp.83-86.

**Linton, CM**(1997) Numerical Investigations into Non-Uniqueness in the Two-Dimensional Water-Wave Problem. In

*Proceedings of the 12th International Workshop on Water Waves and Floating Bodies*, Carry-le-Rouet, France, pp.151-155.

**Linton, CM**(1994) The Scattering of Water Waves by an Array of Circular Cylinders in a Channel. In

*Proceedings of the 9th International Workshop on Water Waves and Floating Bodies*, Kyushu, Japan, pp.145-148.

**Linton, CM**(1993) Hydrodynamic Characteristics of Bodies in Channels. In

*Proceedings of the 8th International Workshop on Water Waves and Floating Bodies*, St John's, Canada, pp.71-73.

**Linton, CM**(1992) The Radiation and Scattering of Surface Waves by a Vertical Circular Cylinder in a Channel. In

*Proceedings of the 7th International Workshop on Water Waves and Floating Bodies*, Val de Reuil, France, pp.155-158.

**Linton, CM**(1991) Trapped modes above a submerged horizontal plate. In

*Proceedings of the 6th International Workshop on Water Waves and Floating Bodies*, Woods Hole, USA, pp.149-151. Evans, DV and

**Linton, CM**(1990) Submerged floating breakwaters. In

*Proceedings of the 9th International Conference on Offshore Mechanics and Arctic Engineering*, Houston, USA, pp.279-285.

**Linton, CM**and Evans, DV (1990) Compressed air breakwaters. In

*Proceedings of the 5th International Workshop on Water Waves and Floating Bodies*, Manchester, UK, pp.109-113. Evans, DV and

**Linton, CM**(1990) Trapped acoustical modes in rectangular or circular waveguides. In

*Proceedings of Euromech 271*, Kiev, Ukraine.

**Linton, CM**(1989) The heave added mass and damping coefficients of a semi-submerged torus. In

*Proceedings of the 2nd International Workshop on Water Waves and Floating Bodies*, Bristol, UK, pp.73-74.

**Linton, CM**and Evans, DV (1989) The scattering of waves by vertical cylinders. In

*Proceedings of the 4th International Workshop on Water Waves and Floating Bodies*, Oystese, Norway, pp.133-137. Evans, DV and

**Linton, CM**(1988) Active devices for the reduction of wave intensity. In

*Proceedings of the 3rd International Workshop on Water Waves and Floating Bodes*, Woods Hole, USA.

## Books

**Linton, CM**(2004)

*From Eudoxus to Einstein. A History of Mathematical Astronomy*, Cambridge University Press, ISBN: 0-521-82750-7.

**Linton, CM**and McIver, P (2001)

*Handbook of Mathematical Techniques for Wave/Structure Interactions*, Chapman & Hall/CRC.

**Linton, CM**and McIver, P (2001)

*Handbook of mathematical techniques for wave/structure interactions*,ISBN: 9781584881322.

## Chapters

Forrester, DM, Zalipaev, VV, Kusmartsev, F,**Linton, C**(2013) Localised states of Fabry-Perot type in graphene nano-ribbons. In

*Unknown Parent Title*, InTech (© Zalipaev et al.; licensee InTech),ISBN: 9789535110910. DOI: 10.5772/52267.

**Linton, CM**and Martin, PA (2010) Green's Function and Multipole Methods for Wave Diffraction Problems. In

**Linton, GECM**and Martin, PA (ed)

*Special Issue of Waves in Random and Complex Media*, Taylor & Francis, 20 (4). McIver, M and

**Linton, CM**(2005) Lecture Notes on the Mathematics of Acoustics. In Wright, MCM (ed)

*Waveguides*, Imperial College Press, Chapter 6, pp.125-144, ISBN: 1-86094-496-5.

**Linton, CM**(2003) Embedding formulas and singularities in acoustic scattering. In Movchan, ABE (ed)

*IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics Solid Mechanics and its Applications Series, vol. 113*, Kluwer Academic Publishers, pp.15-22.

**Linton, CM**(2002) The Finite Dock Problem. In Abrahams, ID, Martin, PA, Simon, MJ (ed)

*IUTAM Symposium on Diffraction and Scattering in Fluid Mechanics and Elasticity. Fluid Mechanics and its Applications Series, vol 68*, Kluwer Academic Publishers, pp.Article 5 (45-51).

**Linton, CM**(1997) The Use of Multipoles in Channel Problems. In Mandal, BNE (ed)

*Mathematical Techniques for Water Waves*, Mathematical Techniques for Water Waves. International Series on Advances in Fluid Mechanics, Computational Mechanics Publications, pp.Chapter 2 ( 45-78).

## Reports

Evans, DV and**Linton, CM**(1993)

*Hydrodynamics of Wave Energy Devices*, p.33, EC Report, Danish Wave Power, In 'Wave Energy Converters - Generic Technical Evaluation Study'.

## Other

**Linton, CM**(2010)

*A History of Physical Theories of Comets, From Aristole to Whipple. by T. Heidarzadeh*.

**Linton, CM**(2010)

*A First Course in Continuum Mechanics. by O. Gonzalez and A. Stuart*.

**Linton, CM**(2009)

*The Augmented Spherical Wave Method. A Comprehensive Treatment. by V. Eyert*.

**Linton, CM**(2009)

*Wave Propagation. From Electrons to Photonic Crystals and Left-handed Materials. by P. Markos and C.M. Soukoulis*.

**Linton, CM**, McIver, MP, McIver, P (2006)

*Proceedings of the 21st International Workshop on Water Waves and Floating Bodies*.

**Linton, CM**(2005)

*Life in the Solar System and beyond. By Barrie W. Jones*.

**Linton, CM**(2005)

*Life in the Universe. Expectations and constraints. by D. Schulze-Makuch and L.N. Irwin*.

**Linton, CM**(2005)

*"Light is a Messenger. The Life and Science of William Lawrence Bragg" by Graeme K Hunter*.

**Linton, CM**(2003)

*Signs of Life "XTL. Extraterrestrial Life and How to Find It" by Simon Goodwin and John Gribbin*.

**Linton, CM**(2001)

*"Mathematics of Wave Propagation" by J.L. Davis*.

**Linton, CM**(1999)

*"Asymptotic Theory of Separated Flows" by V. V. Sychev, A. I. Ruban, V. V. Sychev and G. L. Korolev*.

**Linton, CM**(1998)

*A Modern Introduction to the Mathematical Theory of Water Waves*.

**Linton, CM**(1997)

*Sloshing frequencies for partially filled cylindrical and spherical containers*.

**Linton, CM**(1988)

*Active devices for the reduction of wave intensity*.

**Linton, CM**(1988)

*Wave reflection by submerged bodies in water of finite depth*.