| Introduction to the Series |
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3 | (2) |
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5 | (4) |
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Introduction to Diffraction Grating Theory |
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9 | (26) |
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9 | (1) |
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Grating fundamentals in linear optics |
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10 | (3) |
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13 | (2) |
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Gratings in nonlinear optics |
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15 | (4) |
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Review of the gratings problems in linear optics |
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19 | (4) |
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Basic principles of rigorous electromagnetic theories in linear grating optics |
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23 | (12) |
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24 | (1) |
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24 | (1) |
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The method of Moharam and Gaylord |
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25 | (1) |
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The classical modal method |
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26 | (1) |
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27 | (1) |
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The method of coordinate transformation |
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28 | (1) |
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Grating theory user guide |
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29 | (6) |
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Electromagnetic Theory of Nonlinear Optics |
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35 | (13) |
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Fundamental laws and constitutive relations |
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35 | (6) |
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Nonlinear Polarization in second harmonic generation |
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41 | (2) |
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41 | (1) |
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42 | (1) |
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Undepleted pump approximation |
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42 | (1) |
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Nonlinear polarization for optical Kerr effect |
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43 | (1) |
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44 | (1) |
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45 | (3) |
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Rigorous Nonlinear Electromagnetic Theory of Corrugated Dielectric Waveguides |
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48 | (56) |
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Theory of undepleted second harmonic generation in corrugated dielectric waveguides |
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49 | (24) |
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Curvilinear coordinate transformation |
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49 | (10) |
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The Rayleigh-Fourier method as applied to second harmonic generation |
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59 | (4) |
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63 | (1) |
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Solution at the pump frequency ω |
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63 | (3) |
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Nonlinear polarization inside the homogeneous region |
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66 | (1) |
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Nonlinear polarization inside the modulated region |
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67 | (1) |
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The field inside the modulated region |
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67 | (3) |
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The field inside the homogeneous nonlinear region |
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70 | (1) |
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71 | (2) |
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Numerical methods for analysis of pump field depletion in second harmonic generation and optical Kerr effect |
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73 | (17) |
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73 | (4) |
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Plane incident wave - the classical differential method |
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77 | (7) |
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84 | (1) |
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Second-harmonic generation |
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84 | (1) |
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Waveguide mode propagation: beam-propagation finite-difference method |
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85 | (3) |
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Waveguide mode propagation: finite-elements method |
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88 | (2) |
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Multilayered grating - elimination of numerical instabilities |
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90 | (14) |
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90 | (1) |
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Growing exponents and numerical instabilities |
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91 | (5) |
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Exponential terms inside the corrugated region |
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96 | (3) |
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99 | (5) |
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Theory of Undepleted Second Harmonic Generation in Relief Metallic Gratings |
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104 | (16) |
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105 | (1) |
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The problem of boundary conditions |
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106 | (4) |
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The Propagation equations |
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110 | (2) |
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The polarization dependence |
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112 | (1) |
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113 | (3) |
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116 | (4) |
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Polology: Phenomenological Approach to (Quasi) Phase Matching |
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120 | (45) |
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120 | (1) |
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An interesting example - resonantly enhanced or reduced second-harmonic absorption |
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121 | (7) |
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128 | (1) |
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128 | (1) |
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Phenomenological approach to electromagnetic resonance effects in linear optics |
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128 | (9) |
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129 | (1) |
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The electromagnetic resonance |
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130 | (3) |
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133 | (2) |
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Loci of δp(h) and δz(h) in the complex δ-plane |
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135 | (2) |
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Polology in Nonlinear Optics |
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137 | (10) |
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Second Harmonic Generation |
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137 | (7) |
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144 | (3) |
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Optimization algorithm for second harmonic generation |
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147 | (18) |
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An optimization algorithm |
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149 | (6) |
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Behavior of coupling coefficients |
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155 | (2) |
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Some limitations and precautions |
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157 | (1) |
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158 | (7) |
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Leaky Modes in Nonlinear Optical Resonators |
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165 | (87) |
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165 | (1) |
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Different representations of the electromagnetic field in linear planar structures |
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166 | (32) |
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The longitudinal representation |
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167 | (1) |
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The transverse representation: guided modes and radiation fields |
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168 | (9) |
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The transverse representation: orthogonality relations and the equation of evolution of a mode amplitude |
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177 | (1) |
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Demonstration of the Lorentz reciprocity theorem |
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177 | (1) |
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178 | (8) |
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Determination of the amplitude of a mode: guided or radiated |
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186 | (2) |
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Equation of evolution of a mode amplitude |
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188 | (2) |
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The leaky mode representation |
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190 | (1) |
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190 | (4) |
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The different types of modes |
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194 | (3) |
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197 | (1) |
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Equation of evolution of a leaky mode amplitude in planar resonators |
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198 | (22) |
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200 | (2) |
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202 | (2) |
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Preliminary considerations |
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204 | (2) |
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Calculation of JII and NII, rad |
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206 | (6) |
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Calculation of NQ, rad when two classes of radiation ``modes'' are resonantly excited |
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212 | (2) |
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General equation of evolution of a leaky mode amplitude |
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214 | (1) |
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The relation between the electromagnetic fields inside and outside the resonator |
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215 | (5) |
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220 | (14) |
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A prism coupler in linear optics |
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220 | (1) |
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Solution in the transverse representation for an incident plane wave |
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220 | (4) |
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Solution in the leaky mode representation |
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224 | (3) |
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A prism coupler in nonlinear optics |
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227 | (1) |
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Solution in the transverse representation |
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228 | (5) |
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Solution in the leaky mode representation |
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233 | (1) |
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234 | (14) |
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Homogeneous solution: general considerations |
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234 | (6) |
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Equation of evolution of a leaky mode amplitude |
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240 | (1) |
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241 | (3) |
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The influence of nonlinear polarization |
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244 | (1) |
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Amplitude of the diffracted orders in the outside media |
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245 | (1) |
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Extension to the time domain |
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246 | (2) |
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248 | (4) |
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Linear Distributed Couplers |
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252 | (24) |
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Radiation pattern of distributed couplers in the stationary regime: null points and m-lines |
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252 | (16) |
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Near field-pattern and null points |
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253 | (4) |
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Far-field pattern and m-line |
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257 | (7) |
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264 | (1) |
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Is there a link between the null point and the m-line? |
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264 | (4) |
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Spatio-temporal linear analysis of distributed couplers |
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268 | (8) |
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271 | (1) |
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272 | (4) |
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Kerr-Type Leaky Resonators |
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276 | (45) |
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278 | (15) |
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Stationary plane wave study of optical bistability |
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278 | (1) |
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The nonlinear transmission |
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279 | (2) |
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281 | (2) |
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Diffraction-induced transverse effects due to the finite width of the pump beam |
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283 | (1) |
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283 | (3) |
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Some comments on the plane wave solution |
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286 | (2) |
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Transverse effects in Kerr-type leaky resonators |
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288 | (5) |
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Spatio-temporal phenomena in Kerr-type leaky resonators |
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293 | (28) |
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Basic theoretical tools for stability analysis |
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295 | (4) |
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Plane wave solution in instantaneous Kerr media |
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299 | (3) |
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Plane wave solution in noninstantaneous Kerr media |
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302 | (1) |
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Linear stability analysis |
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302 | (3) |
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305 | (3) |
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Spatio-temporal instabilities in Kerr-type resonators |
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308 | (2) |
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Static modulational instabilities in normal incidence |
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310 | (1) |
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Dynamic modulational instabilities in normal incidence |
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311 | (2) |
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Influence of the angle of incidence |
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313 | (8) |
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Second Harmonic Generation in Leaky Resonators |
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321 | (41) |
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Second harmonic generation at grating couplers: general results |
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322 | (6) |
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322 | (4) |
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Electromagnetic resonances and phase-matching |
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326 | (2) |
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The undepleted pump plane wave solution |
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328 | (13) |
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The same grating is used for the in-coupling and the resonant excitation of guided modes |
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328 | (1) |
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328 | (2) |
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330 | (4) |
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Nonlinear m-lines at the second harmonic frequency |
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334 | (3) |
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Grating-assisted phase-matching: subwavelength grating |
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337 | (4) |
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Cerenkov second harmonic generation |
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341 | (4) |
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Optical bistability/instabilities in X[ 2]-optical resonators |
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345 | (17) |
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Stationary plane wave study of X[ 2]-induced optical bistability |
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347 | (1) |
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Second harmonic generation |
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348 | (1) |
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Sub/second harmonic generation |
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349 | (7) |
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Instabilities in X[ 2]-optical resonators |
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356 | (6) |
| Appendix A: Curvilinear transformation of coordinate system |
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362 | (1) |
| Appendix B: Propagation equation in TM polarization |
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363 | (1) |
| Appendix C: Propagation equation in TE polarization |
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364 | (1) |
| Appendix D: The multiplicity of the poles |
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365 | (2) |
| Appendix E: Radiation modes and related topics |
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367 | (11) |
| Appendix F: Resonant excitation of two classes of radiation modes |
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378 | (2) |
| Appendix G: Meaning of the spectral width of the resonance curve |
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380 | (1) |
| Appendix H: Hopf bifurcation in leaky resonators described by eqs.IX.47 |
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381 | (3) |
| Appendix I: Numerical integration procedure of equations IX.55 |
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384 | (2) |
| Index |
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386 | |
Lisainfo e-raamatute kohta