Recent Advances in Integral Equations

is satisfied. When P is pure imaginary and Q is real, the solution reduces to case 2. There is a possibility that Q is neither real nor purely imaginary. However, such a solution must be attenuated when z becomes large. Mathematically, there can be a divergent solution when z becomes large, but such a solution cannot conserve energy. Therefore, such a solution is not what we want.

References

[1] Yee K. Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media. IEEE Transactions on Antennas and Propagation. 1966;14:302-307. DOI:

DOI: http://dx.doi.org/10.5772/intechopen.81338

Electro-magnetic Simulation Based on the Integral Form of Maxwell's Equations

[2] Kitsunezaki N, Okabe A. Higherorder correction to the FDTD method based on the integral form of Maxwell's

Communications. 2014;185:1582-1588. DOI: 10.1016/j.cpc.2014.02.022

[4] Nielsen HN, Ninomiya M. A no-go theorem for regularizing chiral fermions. Physics Letters. 1981;B105: 219-223. DOI: 10.1016/0370-2693(81)

[5] Marcuse D. Light Transmission Optics. 2nd ed. New York: Van Nostrand Reinhold Company Inc; 1982. 534 p.

[6] Haus HA. Waves and Fields in Optoelectronics. Prentice Hall: Englewood Criffs; 1983. 402 p. ISBN:

[7] Buch JA. Fundamentals of Optical Fibers. Hoboken: Wiley; 2004. 332 p.

[8] Okamoto K. Fundamentals of Optical Waveguides. San Diego: Academic Press; 2006. 561 p. ISBN: 0-12-525096-7

10.1109/TAP.1966.1138693

equations. Computer Physics

[3] Kitsunezaki N. Higher-order Correction to the Finite-Difference Time-Domain Method Based on the Integral Form of Maxwell's Equations. In: BIT's 4th Annual Global Congress of Knowledge Economy; 19–21 September 2017; Qingdao, Dalian: BIT Group

Global Ltd.; 2017. p. 096

ISBN: 0-442-26309-0

0-139-460-535

87

ISBN: 0-471-221-910

91026-1
