I. Papakonstantinou, R. James, D. R. Selviah, "Radiation and bound mode propagation in rectangular multimode dielectric
channel waveguides with sidewall roughness," J. Lightw. Technol. 27, 4151-4163 (2009).

I. Papakonstantinou, K. Wang, D. R. Selviah, F. A. Fernández, "Transition, radiation and propagation loss in polymer multimode waveguide," Opt. Exp. 15, 669-679 (2007).

C. G. Poulton, C. Koos, M. Fujii, A. Pfrang, T. Schimmel, J. Leuthold, W. Freude, "Radiation modes and roughness loss in high index—contrast
waveguides," IEEE Sel. Top. Quantum Electron 12, 1306-1321 (2006).

D. Lenz, D. Erni, W. Bächtold, "Modal power loss coefficients for highly overmoded rectangular dielectric
waveguides based on free space modes," Opt. Exp. 12, 1150-1156 (2004).

K. B. Yoon, C. In-Kui, A. Seung-Ho, "10-Gb/s data transmission experiments over polymeric waveguides with 850-nm
wavelength multimode VCSEL array," IEEE Photon. Technol. Lett. 16, 2147-2149 (2004).

C. Choi, L. Lin, Y. Liu, J. Choi, L. Wang, D. Haas, J. Magera, R. T. Chen, "Flexible optical waveguide film fabrications and optoelectronic devices
integration for fully embedded board-level optical interconnects," J. Lightw. Technol. 22, 2168-2176 (2004).

E. Griese, "Modeling of highly multimode waveguides for time-domain simulation," IEEE Sel. Top. Quantum Electron 9, 433-442 (2003).

T. Rozzi, G. Cerri, F. Chiaraluce, R. De Leo, R. F. Ormondroyd, "Finite curvature and corrugations in dielectric ridge waveguide," IEEE Trans. Microw. Theory Tech. MTT-36, 68-79 (1988).

D. Marcuse, "Power distribution and radiation losses in multimode dielectric waveguides," Bell Syst. Tech. J. 51, 429-454 (1972).

D. Marcuse, "Mode conversion caused by surface imperfections of a dielectric slab
waveguide," Bell Syst. Tech. J. 48, 3187-3215 (1969).

D. Marcuse, "Mode conversion caused by surface imperfections of a dielectric slab
waveguide," Bell Syst. Tech. J. 48, 3187-3215 (1969).

D. Marcuse, "Power distribution and radiation losses in multimode dielectric waveguides," Bell Syst. Tech. J. 51, 429-454 (1972).

K. B. Yoon, C. In-Kui, A. Seung-Ho, "10-Gb/s data transmission experiments over polymeric waveguides with 850-nm
wavelength multimode VCSEL array," IEEE Photon. Technol. Lett. 16, 2147-2149 (2004).

C. G. Poulton, C. Koos, M. Fujii, A. Pfrang, T. Schimmel, J. Leuthold, W. Freude, "Radiation modes and roughness loss in high index—contrast
waveguides," IEEE Sel. Top. Quantum Electron 12, 1306-1321 (2006).

E. Griese, "Modeling of highly multimode waveguides for time-domain simulation," IEEE Sel. Top. Quantum Electron 9, 433-442 (2003).

T. Rozzi, G. Cerri, F. Chiaraluce, R. De Leo, R. F. Ormondroyd, "Finite curvature and corrugations in dielectric ridge waveguide," IEEE Trans. Microw. Theory Tech. MTT-36, 68-79 (1988).

C. Choi, L. Lin, Y. Liu, J. Choi, L. Wang, D. Haas, J. Magera, R. T. Chen, "Flexible optical waveguide film fabrications and optoelectronic devices
integration for fully embedded board-level optical interconnects," J. Lightw. Technol. 22, 2168-2176 (2004).

I. Papakonstantinou, R. James, D. R. Selviah, "Radiation and bound mode propagation in rectangular multimode dielectric
channel waveguides with sidewall roughness," J. Lightw. Technol. 27, 4151-4163 (2009).

I. Papakonstantinou, K. Wang, D. R. Selviah, F. A. Fernández, "Transition, radiation and propagation loss in polymer multimode waveguide," Opt. Exp. 15, 669-679 (2007).

D. Lenz, D. Erni, W. Bächtold, "Modal power loss coefficients for highly overmoded rectangular dielectric
waveguides based on free space modes," Opt. Exp. 12, 1150-1156 (2004).

D. L. Lee, Electromagnetic Principles of Integrated Optics (Wiley, 1986).

T. Rozzi, M. Mongiardo, Open Electromagnetic Waveguides (Electromagnetic Wave Series) (Institution of Electrical Engineers, 1997).

E. S. Ventsel, Teoria Delle Probabilità (Mir, 1983).

V. I. Smirnov, A Course of Higher Mathematics (Pergamon/Oxford, 1964).

T. Bierhoff, T. Bierhoff, Y. Sonmez, J. Schrage, A. Himmler, E. Griese, G. Mrozynski, "Influence of the cross-sectional shape of board-integrated optical
waveguides on the propagation characteristics," Proc. IEEE Proc. (2002) pp. 47-50.

K. Halbe, E. Griese, "A modal approach to model integrated optical waveguides with rough
core-cladding interfaces," Proc. IEEE Workshop Signal Propag. Interconnects (2006) pp. 133-136.

D. Marcuse, Theory of Dielectric Optical Waveguides (Academic, 1974).

D. W. Kim, D. M. Lim, M. H. Cho, M. Kang, H. H. Park, "Ray trace analysis in optical PCB systems using micro-optic connectors for 90$^{\circ}$ deflection of light beams," Proc. 9th Int. Conf. Adv. Commun. Technol. (2007) pp. 1402-1406.

J. V. DeGroot, S. O. Glover, M. J. Dyer, W. K. Bischel, "Polymeric optical interconnect for chip-to-chip communication," Technical Digest OFC/NFOEC AnaheimCA5 (2005).

L. El-Hang, L. Seung Gol, O. Beom Hoan, P. Se Geun, "Optical printed circuit board (O-PCB): A new platform toward VLSI
microphotonics?," Proc. Dig. LEOS Summer Top. Meetings Biophoton./Opt. Interconnects VLSI
Photon./WBM Microcavities (2004) pp. 2.

C. H. Seo, R. B. Sup, K. Saekyoung, C. Mu Hee, P. Hyo-Hoon, S. Kyoung-Up, H. Sang-Won, R. Byoung-Ho, K. Dong-Su, J. S. Tea, K. Taeil, "Demonstration of 2.5 Gb/s optical interconnection using 45/spl deg/-ended
connection blocks in fiber- and waveguide-embedded PCBs," Proc. 54th Conf. Electron. Compon. Technol. (2004) pp. 1547-1551.