The laws of reflection and transmission of harmonic waves at a plane interface between a linear dielectric and a nonlinear dielectric are carefully analyzed. The exact expressions of the reflective and transmissive fi...The laws of reflection and transmission of harmonic waves at a plane interface between a linear dielectric and a nonlinear dielectric are carefully analyzed. The exact expressions of the reflective and transmissive fields are derived. The further discussions are made to the fields at the conditions of vertical incidence and phase-matching.展开更多
New empirical formulas of the transmission coefficient for permeable breakwaters were suggested based on available experimental data regarding the low-crest structure （LCS）, including the permeable rubble mound brea...New empirical formulas of the transmission coefficient for permeable breakwaters were suggested based on available experimental data regarding the low-crest structure （LCS）, including the permeable rubble mound breakwater and pile-type breakwater. The rationality of the present formulas was verified by their comparison with existing empirical and analytical formulas. Numerical flume results were obtained by solving the modified Boussinessq-type wave equations （MBEs）, and a new expression relating the friction coefficient of to the relative submerged depth Rt/H8 was also derived. Comparative analysis shows that the results of the present formulas agree with the numerical flume results as well as available experimental data, and the present formulas are superior to the existing empirical and analytical expressions in estimating the transmission coefficient. The present formulas can provide references for estimation of the transmission coefficient in engineering practice.展开更多
The propagation of dark solitons in nonlinear media that include gain and Joss described by a nonlinear Schroedinger equation is investigated. Based on the direct approach of perturbation theorv, the width, height and...The propagation of dark solitons in nonlinear media that include gain and Joss described by a nonlinear Schroedinger equation is investigated. Based on the direct approach of perturbation theorv, the width, height and other related quantities of dark solitons are obtained. It is shown that stationarv propagation of dark solitons is found to be possible in the presence of both gain and absorption. The results obtained by means of our analytic method are in excellent agreement with numerical simulations. Our results are helpful for the research into the optical soliton transmission system.展开更多
The reflection and transmission problem of an electromagnetic slow-wave by a uniformly moving dielectric slab was investigated theoretically.The relationships among the field vectors of the incident,reflected and tran...The reflection and transmission problem of an electromagnetic slow-wave by a uniformly moving dielectric slab was investigated theoretically.The relationships among the field vectors of the incident,reflected and transmitted waves,and the reflection and transmission coefficients were derived based on the electromagnetic theory and the principle of special relativity.The numerical analysis shows that at a small mechanical velocity the reflection coefficient of the electromagnetic slow-wave can be close to unit by choosing an appropriate period and mode-order;this is obviously different from that of a fast wave.The results are significant for research on electromagnetics and electrodynamics,and may have applicability to other fields.展开更多
Scattering of oblique flexural-gravity waves by a submerged porous plate in a finite water depth is investigated under the assumptions of linearized surface waves and small-amplitude structural response. The study is ...Scattering of oblique flexural-gravity waves by a submerged porous plate in a finite water depth is investigated under the assumptions of linearized surface waves and small-amplitude structural response. The study is carried out using eigenfunction expansions and the corresponding orthogonal mode-coupling relations associated with flexural-gravity waves in uniform water depth. The characteristics of the roots of the complex dispersion relation are examined using the principle of counting argument and contour plot. Characteristics of the flexural-gravity waves are studied by assuming both the floating elastic plate and the submerged porous plate are infinitely extended in horizontal directions. The effectiveness of the submerged porous structure on the reflection, transmission, and dissipation coefficients is analyzed for various wave and structural parameters.展开更多
文摘The laws of reflection and transmission of harmonic waves at a plane interface between a linear dielectric and a nonlinear dielectric are carefully analyzed. The exact expressions of the reflective and transmissive fields are derived. The further discussions are made to the fields at the conditions of vertical incidence and phase-matching.
基金supported by the Key Project in the National Science and Technology Pillar Program for the Twelfth Five-Year Plan Period(Grant No.2012BAB03B01)the Jiangsu Provincial Post-Doctoral Support Plan(Grant No.20100197)
文摘New empirical formulas of the transmission coefficient for permeable breakwaters were suggested based on available experimental data regarding the low-crest structure （LCS）, including the permeable rubble mound breakwater and pile-type breakwater. The rationality of the present formulas was verified by their comparison with existing empirical and analytical formulas. Numerical flume results were obtained by solving the modified Boussinessq-type wave equations （MBEs）, and a new expression relating the friction coefficient of to the relative submerged depth Rt/H8 was also derived. Comparative analysis shows that the results of the present formulas agree with the numerical flume results as well as available experimental data, and the present formulas are superior to the existing empirical and analytical expressions in estimating the transmission coefficient. The present formulas can provide references for estimation of the transmission coefficient in engineering practice.
基金Supported by the National Natural Science Foundation of China under Grant No 10375022.
文摘The propagation of dark solitons in nonlinear media that include gain and Joss described by a nonlinear Schroedinger equation is investigated. Based on the direct approach of perturbation theorv, the width, height and other related quantities of dark solitons are obtained. It is shown that stationarv propagation of dark solitons is found to be possible in the presence of both gain and absorption. The results obtained by means of our analytic method are in excellent agreement with numerical simulations. Our results are helpful for the research into the optical soliton transmission system.
基金supported by the National Natural Science Foundation of China(60171014,50577029,and50777023)
文摘The reflection and transmission problem of an electromagnetic slow-wave by a uniformly moving dielectric slab was investigated theoretically.The relationships among the field vectors of the incident,reflected and transmitted waves,and the reflection and transmission coefficients were derived based on the electromagnetic theory and the principle of special relativity.The numerical analysis shows that at a small mechanical velocity the reflection coefficient of the electromagnetic slow-wave can be close to unit by choosing an appropriate period and mode-order;this is obviously different from that of a fast wave.The results are significant for research on electromagnetics and electrodynamics,and may have applicability to other fields.
基金Supported of National Nature Science Foundation of China(10804060)Project of Shandong Province Higher Educational Science and Technology Program(J08LI05)
文摘Scattering of oblique flexural-gravity waves by a submerged porous plate in a finite water depth is investigated under the assumptions of linearized surface waves and small-amplitude structural response. The study is carried out using eigenfunction expansions and the corresponding orthogonal mode-coupling relations associated with flexural-gravity waves in uniform water depth. The characteristics of the roots of the complex dispersion relation are examined using the principle of counting argument and contour plot. Characteristics of the flexural-gravity waves are studied by assuming both the floating elastic plate and the submerged porous plate are infinitely extended in horizontal directions. The effectiveness of the submerged porous structure on the reflection, transmission, and dissipation coefficients is analyzed for various wave and structural parameters.
