P. Li and A. Wood, “A two-dimensional Helmhotlz equation solution for the multiple cavity scattering problem,” J. Comput. Phys. 240, 100–120 (2013).

[CrossRef]

S. J. Lee, D. J. Lee, W. S. Lee, and J. W. Yu, “Electromagnetic scattering from both finite semi-circular channels and bosses in a conducting plane: TM case,” J. Electromagn. Waves Appl. 26, 2398–2409 (2012).

B. Alavikia and O. M. Ramahi, “Finite-element solution of the problem of scattering from cavities in metallic screens using the surface integral equation as a boundary constraint,” J. Opt. Soc. Am. A 26, 1915–1925 (2009).

[CrossRef]

P. Zhang, Y. Y. Lau, and R. M. Gilgenbach, “Analysis of radio-frequency absorption and electric and magnetic field enhancements due to surface roughness,” J. Appl. Phys. 105, 1–9 (2009).

O. P. Bruno, J. S. Ovall, and C. Turc, “A high-order integral algorithm for highly singular PDE solutions in Lipschitz domains,” Computing 84, 149–181 (2009).

Y. Wang, K. Du, and W. Sun, “A second-order method for the electromagnetic scattering from a large cavity,” Numer. Math. Theory Methods Appl. 1, 357–382 (2008).

A. Wood, “Analysis of electromagnetic scattering from an overfilled cavity in the ground plane,” J. Comput. Phys. 215, 630–641 (2006).

[CrossRef]

A. G. Tyzhnenko, “A unique solution to the 2-d H-scattering problem for a semicircular trough in a PEC ground plane,” Prog. Electromagn. Res. 54, 303–319 (2005).

[CrossRef]

G. Bao and W. Sun, “A fast algorithm for the electromagnetic scattering from a large cavity,” SIAM J. Sci. Comput. 27, 553–574 (2005).

[CrossRef]

A. Tyzhnenko, “Two-dimensional TE-plane wave scattering by a dielectric-loaded semicircular trough in a ground plane,” Electromagnetics 24, 357–368 (2004).

[CrossRef]

E. Howe and A. Wood, “TE solutions of an integral equations method for electromagnetic scattering from a 2D cavity,” IEEE Antennas Wirel. Propag. Lett. 2, 93–96 (2003).

C.-F. Wang and Y.-B. Gan, “2D cavity modeling using method of moments and iterative solvers,” Prog. Electromagn. Res. 43, 123–142 (2003).

[CrossRef]

T. Van and A. Wood, “Finite element analysis of electromagnetic scattering from a cavity,” IEEE Trans. Antennas Propag. 51, 130–137 (2003).

[CrossRef]

J.-W. Yu, W. J. Byun, and N.-H. Myung, “Multiple scattering from two dielectric-filled semi-circular channels in a conducting plane: TM case,” IEEE Trans. Antennas Propag. 50, 1250–1253 (2002).

[CrossRef]

W. D. Wood and A. W. Wood, “Development and numerical solution of integral equations for electromagnetic scattering from a trough in a ground plane,” IEEE Trans. Antennas Propag. 47, 1318–1322 (1999).

[CrossRef]

W. J. Byun, J. W. Yu, and N. H. Myung, “TM scattering from hollow and dielectric-filled semielliptic channels with arbitrary eccentricity in a perfectly conducting plane,” IEEE Trans. Microwave Theory Tech. 46, 1336–1339 (1998).

[CrossRef]

H. Eom and G. Hur, “Gaussian beam scattering from a semicircular boss above a conducting plane,” IEEE Trans. Antennas Propag. 41, 106–108 (1993).

[CrossRef]

T. Park, H. Eom, and K. Yoshitomi, “Analysis of TM scattering from finite rectangular grooves in a conducting plane,” J. Opt. Soc. Am. A 10, 905–911 (1993).

[CrossRef]

T. J. Park, H. J. Eom, Y. Yamaguchi, and W.-M. Boerner, “TE-plane wave scattering from a trough in a conducting plane,” J. Electromagn. Waves Appl. 7, 235–245 (1993).

M. K. Hinders and A. D. Yaghjian, “Dual-series solution to scattering from a semicircular channel in a ground plane,” IEEE Microwave Guided Wave Lett. 1, 239–242 (1991).

R. Kress, “A Nystrom method for boundary integral equations in domains with corners,” Numer. Math. 58, 145–161 (1990).

[CrossRef]

J. Van Bladel, “Field singularities at metal-dielectric wedges,” IEEE Trans. Antennas Propag. 33, 450–455 (1985).

[CrossRef]

R. Ruppin, “Electric field enhancement near a surface bump,” Solid State Commun. 39, 903–906 (1981).

[CrossRef]

B. K. Sachdeva and R. A. Hurd, “Scattering by a dielectric loaded trough in a conducting plane,” J. Appl. Phys. 48, 1473–1476 (1977).

[CrossRef]

J. Meixner, “The behavior of electromagnetic fields at edges,” IEEE Trans. Antennas Propag. 20, 442–446 (1972).

[CrossRef]

Rayleigh, “On the light dispersed from fine lines ruled upon reflecting surfaces or transmitted by very narrow slits,” Philos. Mag. Series 14(81), 350–359 (1907).

E. Akhmetgaliyev and O. P. Bruno are preparing a manuscript to be called “A boundary integral strategy for the Laplace Dirichlet/Neumann mixed eigenvalue problem.”

G. Bao and W. Sun, “A fast algorithm for the electromagnetic scattering from a large cavity,” SIAM J. Sci. Comput. 27, 553–574 (2005).

[CrossRef]

T. J. Park, H. J. Eom, Y. Yamaguchi, and W.-M. Boerner, “TE-plane wave scattering from a trough in a conducting plane,” J. Electromagn. Waves Appl. 7, 235–245 (1993).

O. P. Bruno, J. S. Ovall, and C. Turc, “A high-order integral algorithm for highly singular PDE solutions in Lipschitz domains,” Computing 84, 149–181 (2009).

C. Pérez-Arancibia and O. P. Bruno, “High-order integral equation methods for problems of scattering by bumps and cavities on half-planes,” arXiv:1405.4336 (2014).

E. Akhmetgaliyev and O. P. Bruno are preparing a manuscript to be called “A boundary integral strategy for the Laplace Dirichlet/Neumann mixed eigenvalue problem.”

J.-W. Yu, W. J. Byun, and N.-H. Myung, “Multiple scattering from two dielectric-filled semi-circular channels in a conducting plane: TM case,” IEEE Trans. Antennas Propag. 50, 1250–1253 (2002).

[CrossRef]

W. J. Byun, J. W. Yu, and N. H. Myung, “TM scattering from hollow and dielectric-filled semielliptic channels with arbitrary eccentricity in a perfectly conducting plane,” IEEE Trans. Microwave Theory Tech. 46, 1336–1339 (1998).

[CrossRef]

D. Colton and R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory, 3rd ed. (Springer, 2012), Vol. 93.

D. L. Colton and R. Kress, Integral Equation Methods in Scattering Theory, 1st ed., Pure and Applied Mathematics (Wiley, 1983).

K. Du, “Two transparent boundary conditions for the electromagnetic scattering from two-dimensional overfilled cavities,” J. Comput. Phys. 230, 5822–5835 (2011).

[CrossRef]

Y. Wang, K. Du, and W. Sun, “A second-order method for the electromagnetic scattering from a large cavity,” Numer. Math. Theory Methods Appl. 1, 357–382 (2008).

M. Basha, S. Chaudhuri, S. Safavi-Naeini, and H. Eom, “Rigorous formulation for electromagnetic plane-wave scattering from a general-shaped groove in a perfectly conducting plane,” J. Opt. Soc. Am. A 24, 1647–1655 (2007).

[CrossRef]

H. Eom and G. Hur, “Gaussian beam scattering from a semicircular boss above a conducting plane,” IEEE Trans. Antennas Propag. 41, 106–108 (1993).

[CrossRef]

T. Park, H. Eom, and K. Yoshitomi, “Analysis of TM scattering from finite rectangular grooves in a conducting plane,” J. Opt. Soc. Am. A 10, 905–911 (1993).

[CrossRef]

T. J. Park, H. J. Eom, Y. Yamaguchi, and W.-M. Boerner, “TE-plane wave scattering from a trough in a conducting plane,” J. Electromagn. Waves Appl. 7, 235–245 (1993).

C.-F. Wang and Y.-B. Gan, “2D cavity modeling using method of moments and iterative solvers,” Prog. Electromagn. Res. 43, 123–142 (2003).

[CrossRef]

P. Zhang, Y. Y. Lau, and R. M. Gilgenbach, “Analysis of radio-frequency absorption and electric and magnetic field enhancements due to surface roughness,” J. Appl. Phys. 105, 1–9 (2009).

M. K. Hinders and A. D. Yaghjian, “Dual-series solution to scattering from a semicircular channel in a ground plane,” IEEE Microwave Guided Wave Lett. 1, 239–242 (1991).

E. Howe and A. Wood, “TE solutions of an integral equations method for electromagnetic scattering from a 2D cavity,” IEEE Antennas Wirel. Propag. Lett. 2, 93–96 (2003).

H. Eom and G. Hur, “Gaussian beam scattering from a semicircular boss above a conducting plane,” IEEE Trans. Antennas Propag. 41, 106–108 (1993).

[CrossRef]

B. K. Sachdeva and R. A. Hurd, “Scattering by a dielectric loaded trough in a conducting plane,” J. Appl. Phys. 48, 1473–1476 (1977).

[CrossRef]

E. Isaacson and H. Keller, Analysis of Numerical Methods (Dover, 1994).

E. Isaacson and H. Keller, Analysis of Numerical Methods (Dover, 1994).

R. Kress, “A Nystrom method for boundary integral equations in domains with corners,” Numer. Math. 58, 145–161 (1990).

[CrossRef]

D. Colton and R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory, 3rd ed. (Springer, 2012), Vol. 93.

D. L. Colton and R. Kress, Integral Equation Methods in Scattering Theory, 1st ed., Pure and Applied Mathematics (Wiley, 1983).

P. Zhang, Y. Y. Lau, and R. M. Gilgenbach, “Analysis of radio-frequency absorption and electric and magnetic field enhancements due to surface roughness,” J. Appl. Phys. 105, 1–9 (2009).

S. J. Lee, D. J. Lee, W. S. Lee, and J. W. Yu, “Electromagnetic scattering from both finite semi-circular channels and bosses in a conducting plane: TM case,” J. Electromagn. Waves Appl. 26, 2398–2409 (2012).

S. J. Lee, D. J. Lee, W. S. Lee, and J. W. Yu, “Electromagnetic scattering from both finite semi-circular channels and bosses in a conducting plane: TM case,” J. Electromagn. Waves Appl. 26, 2398–2409 (2012).

S. J. Lee, D. J. Lee, W. S. Lee, and J. W. Yu, “Electromagnetic scattering from both finite semi-circular channels and bosses in a conducting plane: TM case,” J. Electromagn. Waves Appl. 26, 2398–2409 (2012).

P. Li and A. Wood, “A two-dimensional Helmhotlz equation solution for the multiple cavity scattering problem,” J. Comput. Phys. 240, 100–120 (2013).

[CrossRef]

J. Meixner, “The behavior of electromagnetic fields at edges,” IEEE Trans. Antennas Propag. 20, 442–446 (1972).

[CrossRef]

W. J. Byun, J. W. Yu, and N. H. Myung, “TM scattering from hollow and dielectric-filled semielliptic channels with arbitrary eccentricity in a perfectly conducting plane,” IEEE Trans. Microwave Theory Tech. 46, 1336–1339 (1998).

[CrossRef]

J.-W. Yu, W. J. Byun, and N.-H. Myung, “Multiple scattering from two dielectric-filled semi-circular channels in a conducting plane: TM case,” IEEE Trans. Antennas Propag. 50, 1250–1253 (2002).

[CrossRef]

O. P. Bruno, J. S. Ovall, and C. Turc, “A high-order integral algorithm for highly singular PDE solutions in Lipschitz domains,” Computing 84, 149–181 (2009).

T. J. Park, H. J. Eom, Y. Yamaguchi, and W.-M. Boerner, “TE-plane wave scattering from a trough in a conducting plane,” J. Electromagn. Waves Appl. 7, 235–245 (1993).

C. Pérez-Arancibia and O. P. Bruno, “High-order integral equation methods for problems of scattering by bumps and cavities on half-planes,” arXiv:1405.4336 (2014).

Rayleigh, “On the light dispersed from fine lines ruled upon reflecting surfaces or transmitted by very narrow slits,” Philos. Mag. Series 14(81), 350–359 (1907).

R. Ruppin, “Electric field enhancement near a surface bump,” Solid State Commun. 39, 903–906 (1981).

[CrossRef]

B. K. Sachdeva and R. A. Hurd, “Scattering by a dielectric loaded trough in a conducting plane,” J. Appl. Phys. 48, 1473–1476 (1977).

[CrossRef]

Y. Wang, K. Du, and W. Sun, “A second-order method for the electromagnetic scattering from a large cavity,” Numer. Math. Theory Methods Appl. 1, 357–382 (2008).

G. Bao and W. Sun, “A fast algorithm for the electromagnetic scattering from a large cavity,” SIAM J. Sci. Comput. 27, 553–574 (2005).

[CrossRef]

M. Taylor, Partial Differential Equations II: Qualitative Studies of Linear Equations, Vol. 117 of Applied Mathematical Sciences (Springer, 1996).

O. P. Bruno, J. S. Ovall, and C. Turc, “A high-order integral algorithm for highly singular PDE solutions in Lipschitz domains,” Computing 84, 149–181 (2009).

A. Tyzhnenko, “Two-dimensional TE-plane wave scattering by a dielectric-loaded semicircular trough in a ground plane,” Electromagnetics 24, 357–368 (2004).

[CrossRef]

A. G. Tyzhnenko, “A unique solution to the 2-d H-scattering problem for a semicircular trough in a PEC ground plane,” Prog. Electromagn. Res. 54, 303–319 (2005).

[CrossRef]

T. Van and A. Wood, “Finite element analysis of electromagnetic scattering from a cavity,” IEEE Trans. Antennas Propag. 51, 130–137 (2003).

[CrossRef]

J. Van Bladel, “Field singularities at metal-dielectric wedges,” IEEE Trans. Antennas Propag. 33, 450–455 (1985).

[CrossRef]

C.-F. Wang and Y.-B. Gan, “2D cavity modeling using method of moments and iterative solvers,” Prog. Electromagn. Res. 43, 123–142 (2003).

[CrossRef]

Y. Wang, K. Du, and W. Sun, “A second-order method for the electromagnetic scattering from a large cavity,” Numer. Math. Theory Methods Appl. 1, 357–382 (2008).

P. Li and A. Wood, “A two-dimensional Helmhotlz equation solution for the multiple cavity scattering problem,” J. Comput. Phys. 240, 100–120 (2013).

[CrossRef]

A. Wood, “Analysis of electromagnetic scattering from an overfilled cavity in the ground plane,” J. Comput. Phys. 215, 630–641 (2006).

[CrossRef]

E. Howe and A. Wood, “TE solutions of an integral equations method for electromagnetic scattering from a 2D cavity,” IEEE Antennas Wirel. Propag. Lett. 2, 93–96 (2003).

T. Van and A. Wood, “Finite element analysis of electromagnetic scattering from a cavity,” IEEE Trans. Antennas Propag. 51, 130–137 (2003).

[CrossRef]

W. D. Wood and A. W. Wood, “Development and numerical solution of integral equations for electromagnetic scattering from a trough in a ground plane,” IEEE Trans. Antennas Propag. 47, 1318–1322 (1999).

[CrossRef]

W. D. Wood and A. W. Wood, “Development and numerical solution of integral equations for electromagnetic scattering from a trough in a ground plane,” IEEE Trans. Antennas Propag. 47, 1318–1322 (1999).

[CrossRef]

M. K. Hinders and A. D. Yaghjian, “Dual-series solution to scattering from a semicircular channel in a ground plane,” IEEE Microwave Guided Wave Lett. 1, 239–242 (1991).

T. J. Park, H. J. Eom, Y. Yamaguchi, and W.-M. Boerner, “TE-plane wave scattering from a trough in a conducting plane,” J. Electromagn. Waves Appl. 7, 235–245 (1993).

S. J. Lee, D. J. Lee, W. S. Lee, and J. W. Yu, “Electromagnetic scattering from both finite semi-circular channels and bosses in a conducting plane: TM case,” J. Electromagn. Waves Appl. 26, 2398–2409 (2012).

W. J. Byun, J. W. Yu, and N. H. Myung, “TM scattering from hollow and dielectric-filled semielliptic channels with arbitrary eccentricity in a perfectly conducting plane,” IEEE Trans. Microwave Theory Tech. 46, 1336–1339 (1998).

[CrossRef]

J.-W. Yu, W. J. Byun, and N.-H. Myung, “Multiple scattering from two dielectric-filled semi-circular channels in a conducting plane: TM case,” IEEE Trans. Antennas Propag. 50, 1250–1253 (2002).

[CrossRef]

P. Zhang, Y. Y. Lau, and R. M. Gilgenbach, “Analysis of radio-frequency absorption and electric and magnetic field enhancements due to surface roughness,” J. Appl. Phys. 105, 1–9 (2009).

O. P. Bruno, J. S. Ovall, and C. Turc, “A high-order integral algorithm for highly singular PDE solutions in Lipschitz domains,” Computing 84, 149–181 (2009).

A. Tyzhnenko, “Two-dimensional TE-plane wave scattering by a dielectric-loaded semicircular trough in a ground plane,” Electromagnetics 24, 357–368 (2004).

[CrossRef]

E. Howe and A. Wood, “TE solutions of an integral equations method for electromagnetic scattering from a 2D cavity,” IEEE Antennas Wirel. Propag. Lett. 2, 93–96 (2003).

M. K. Hinders and A. D. Yaghjian, “Dual-series solution to scattering from a semicircular channel in a ground plane,” IEEE Microwave Guided Wave Lett. 1, 239–242 (1991).

J.-W. Yu, W. J. Byun, and N.-H. Myung, “Multiple scattering from two dielectric-filled semi-circular channels in a conducting plane: TM case,” IEEE Trans. Antennas Propag. 50, 1250–1253 (2002).

[CrossRef]

H. Eom and G. Hur, “Gaussian beam scattering from a semicircular boss above a conducting plane,” IEEE Trans. Antennas Propag. 41, 106–108 (1993).

[CrossRef]

W. D. Wood and A. W. Wood, “Development and numerical solution of integral equations for electromagnetic scattering from a trough in a ground plane,” IEEE Trans. Antennas Propag. 47, 1318–1322 (1999).

[CrossRef]

T. Van and A. Wood, “Finite element analysis of electromagnetic scattering from a cavity,” IEEE Trans. Antennas Propag. 51, 130–137 (2003).

[CrossRef]

J. Meixner, “The behavior of electromagnetic fields at edges,” IEEE Trans. Antennas Propag. 20, 442–446 (1972).

[CrossRef]

J. Van Bladel, “Field singularities at metal-dielectric wedges,” IEEE Trans. Antennas Propag. 33, 450–455 (1985).

[CrossRef]

W. J. Byun, J. W. Yu, and N. H. Myung, “TM scattering from hollow and dielectric-filled semielliptic channels with arbitrary eccentricity in a perfectly conducting plane,” IEEE Trans. Microwave Theory Tech. 46, 1336–1339 (1998).

[CrossRef]

P. Zhang, Y. Y. Lau, and R. M. Gilgenbach, “Analysis of radio-frequency absorption and electric and magnetic field enhancements due to surface roughness,” J. Appl. Phys. 105, 1–9 (2009).

B. K. Sachdeva and R. A. Hurd, “Scattering by a dielectric loaded trough in a conducting plane,” J. Appl. Phys. 48, 1473–1476 (1977).

[CrossRef]

K. Du, “Two transparent boundary conditions for the electromagnetic scattering from two-dimensional overfilled cavities,” J. Comput. Phys. 230, 5822–5835 (2011).

[CrossRef]

P. Li and A. Wood, “A two-dimensional Helmhotlz equation solution for the multiple cavity scattering problem,” J. Comput. Phys. 240, 100–120 (2013).

[CrossRef]

A. Wood, “Analysis of electromagnetic scattering from an overfilled cavity in the ground plane,” J. Comput. Phys. 215, 630–641 (2006).

[CrossRef]

T. J. Park, H. J. Eom, Y. Yamaguchi, and W.-M. Boerner, “TE-plane wave scattering from a trough in a conducting plane,” J. Electromagn. Waves Appl. 7, 235–245 (1993).

S. J. Lee, D. J. Lee, W. S. Lee, and J. W. Yu, “Electromagnetic scattering from both finite semi-circular channels and bosses in a conducting plane: TM case,” J. Electromagn. Waves Appl. 26, 2398–2409 (2012).

T. Park, H. Eom, and K. Yoshitomi, “Analysis of TM scattering from finite rectangular grooves in a conducting plane,” J. Opt. Soc. Am. A 10, 905–911 (1993).

[CrossRef]

B. Alavikia and O. M. Ramahi, “Hybrid finite element-boundary integral algorithm to solve the problem of scattering from a finite array of cavities with multilayer stratified dielectric coating,” J. Opt. Soc. Am. A 28, 2192–2199 (2011).

[CrossRef]

M. Basha, S. Chaudhuri, S. Safavi-Naeini, and H. Eom, “Rigorous formulation for electromagnetic plane-wave scattering from a general-shaped groove in a perfectly conducting plane,” J. Opt. Soc. Am. A 24, 1647–1655 (2007).

[CrossRef]

B. Alavikia and O. M. Ramahi, “Finite-element solution of the problem of scattering from cavities in metallic screens using the surface integral equation as a boundary constraint,” J. Opt. Soc. Am. A 26, 1915–1925 (2009).

[CrossRef]

R. Kress, “A Nystrom method for boundary integral equations in domains with corners,” Numer. Math. 58, 145–161 (1990).

[CrossRef]

Y. Wang, K. Du, and W. Sun, “A second-order method for the electromagnetic scattering from a large cavity,” Numer. Math. Theory Methods Appl. 1, 357–382 (2008).

Rayleigh, “On the light dispersed from fine lines ruled upon reflecting surfaces or transmitted by very narrow slits,” Philos. Mag. Series 14(81), 350–359 (1907).

A. G. Tyzhnenko, “A unique solution to the 2-d H-scattering problem for a semicircular trough in a PEC ground plane,” Prog. Electromagn. Res. 54, 303–319 (2005).

[CrossRef]

C.-F. Wang and Y.-B. Gan, “2D cavity modeling using method of moments and iterative solvers,” Prog. Electromagn. Res. 43, 123–142 (2003).

[CrossRef]

G. Bao and W. Sun, “A fast algorithm for the electromagnetic scattering from a large cavity,” SIAM J. Sci. Comput. 27, 553–574 (2005).

[CrossRef]

R. Ruppin, “Electric field enhancement near a surface bump,” Solid State Commun. 39, 903–906 (1981).

[CrossRef]

C. Pérez-Arancibia and O. P. Bruno, “High-order integral equation methods for problems of scattering by bumps and cavities on half-planes,” arXiv:1405.4336 (2014).

D. Colton and R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory, 3rd ed. (Springer, 2012), Vol. 93.

E. Akhmetgaliyev and O. P. Bruno are preparing a manuscript to be called “A boundary integral strategy for the Laplace Dirichlet/Neumann mixed eigenvalue problem.”

D. L. Colton and R. Kress, Integral Equation Methods in Scattering Theory, 1st ed., Pure and Applied Mathematics (Wiley, 1983).

M. Taylor, Partial Differential Equations II: Qualitative Studies of Linear Equations, Vol. 117 of Applied Mathematical Sciences (Springer, 1996).

E. Isaacson and H. Keller, Analysis of Numerical Methods (Dover, 1994).