Parameter of ${\mathrm{LiNbO}}_{3}$

∊  Dielectric coefficient  28  26, 27 
${r}_{13}$ (m/V)  Electrooptic coefficient (light wavelength, 632.8 nm)  $10.9\times {10}^{12}$  28 
${n}_{0}$  Refractive index for ordinarily polarized light (wavelength, 632.8 nm)  2.286  29 
Chargetransport parameters 
j (A/m^{2})  Current density  Variable  
μ (m^{2}/Vs)  Electron mobility in the conduction band 
$7.4\times {10}^{5}$  30 
n (m^{3})  Density of free electrons in the conduction band  Variable  
ρ (As/m^{3})  Total charge density  Variable  
${N}_{A}$ (m^{3})  Concentration of nonmobile positive compensation charge, which maintains overall charge neutrality  $(3.4\times {10}^{24})$  
E (V/m)  Spacecharge field  Variable  
Fundamental constants 
${k}_{B}$ (J/K)  Boltzmann constant  $1.38\times {10}^{23}$  
${\u220a}_{0}$ (As/Vm)  Permittivity of free space  $8.85\times {10}^{12}$  
Parameters related to the experimental conditions 
T (K)  Crystal temperature  293  
K (m^{1})  Spatial frequency of the interference pattern  $6.9\times {10}^{6}$  
Λ (m)  Period length of the interference pattern  $0.9\times {10}^{6}$  
${I}_{\mathrm{UV}}$ (W/m^{2})  Intensity of the spatially homogeneous UV light (wavelength, 365 nm)  Variable  
${I}_{R}$ (W/m^{2})  Intensity of the red light (wavelength, 633 nm)  Variable  
m
 Modulation degree of the interference pattern of the infrared light  Variable  
Parameters of Fe 
${N}_{\mathrm{Fe}}$ (m^{3})  Total concentration of Fe  $(2.5\times {10}^{25})$  
$N_{\mathrm{Fe}}{}^{}$ (m^{3})  Concentration of ${\mathrm{Fe}}^{2+}$  (0)  
${s}_{\mathrm{Fe},R}$ (m^{2}/J)  Photon absorption cross section of ${\mathrm{Fe}}^{2+}$ (light wavelength, 633 nm)  $3.7\times {10}^{4}$  31, 32 
${q}_{\mathrm{Fe},R}{s}_{\mathrm{Fe},R}$ (m^{2}/J)  Absorption cross section of ${\mathrm{Fe}}^{2+}$ for absorption of a photon and excitation of an electron from ${\mathrm{Fe}}^{2+}$ into the conduction band (light wavelength, 633 nm)  $3.3\times {10}^{6}$  33 
${q}_{\mathrm{Fe},\mathrm{UV}}{s}_{\mathrm{Fe},\mathrm{UV}}$ (m^{2}/J)  Absorption cross section of ${\mathrm{Fe}}^{2+}$ for absorption of a photon and excitation of an electron from ${\mathrm{Fe}}^{2+}$ into the conduction band (light wavelength, 365 nm)  $3.8\times {10}^{5}$  33 
${\gamma}_{\mathrm{Fe}}$ (m^{3}/s)  Coefficient for recombination of conductionband electrons with ${\mathrm{Fe}}^{3+}$  $1.65\times {10}^{14}$  25 
${\kappa}_{\mathrm{Fe},R}$ (m^{3}/V)  Bulk photovoltaic coefficient for excitation of electrons from ${\mathrm{Fe}}^{2+}$ into the conduction band (light wavelength, 633 nm)  $7\times {10}^{34}$  31, 33 
${\kappa}_{\mathrm{Fe},\mathrm{UV}}$ (m^{3}/V)  Bulk photovoltaic coefficient for excitation of electrons from ${\mathrm{Fe}}^{2+}$ into the conduction band (light wavelength, 365 nm)  $1.4\times {10}^{32}$  32, 33 
Parameters of Mn 
${N}_{\mathrm{Mn}}$ (m^{3})  Total concentration of Mn  $(3.8\times {10}^{24})$  
$N_{\mathrm{Mn}}{}^{}$ (m^{3})  Concentration of ${\mathrm{Mn}}^{2+}$  $(3.4\times {10}^{24})$  
${q}_{\mathrm{Mn},R}{s}_{\mathrm{Mn},R}$ (m^{2}/J)  Absorption cross section of ${\mathrm{Mn}}^{2+}$ for absorption of a photon and excitation of an electron into the conduction band (light wavelength, 633 nm)  (0)  
${q}_{\mathrm{Mn},\mathrm{UV}}{s}_{\mathrm{Mn},\mathrm{UV}}$ (m^{2}/J)  Absorption cross section of ${\mathrm{Mn}}^{2+}$ for absorption of a photon and excitation of an electron into the conduction band (light wavelength, 365 nm)  $3.6\times {10}^{5}$  This work 
${\gamma}_{\mathrm{Mn}}$ (m^{3}/s)  Coefficient for recombination of conductionband electrons with ${\mathrm{Mn}}^{3+}$  $2.4\times {10}^{13}$  This work 
${\kappa}_{\mathrm{Mn},R}$ (m^{3}/V)  Bulk photovoltaic coefficient for excitation of electrons from ${\mathrm{Mn}}^{2+}$ into the conduction band (light wavelength, 633 nm)  0  
${\kappa}_{\mathrm{Mn},\mathrm{UV}}$ (m^{3}/V)  Bulk photovoltaic coefficient for excitation of electrons from ${\mathrm{Mn}}^{2+}$ into the conduction band (light wavelength, 365 nm)  $1.1\times {10}^{32}$  This work 