Loading observation_sim/mock_objects/SpecDisperser/SpecDisperser.py +21 −21 Original line number Original line Diff line number Diff line Loading @@ -495,36 +495,36 @@ class aXeConf: return a return a def evaluate_dp(self, dx, dydx): def evaluate_dp(self, dx, dydx): """Evalate arc length along the trace given trace polynomial coefficients # """Evalate arc length along the trace given trace polynomial coefficients Parameters # Parameters ---------- # ---------- dx : array-like # dx : array-like x pixel to evaluate # x pixel to evaluate dydx : array-like # dydx : array-like Coefficients of the trace polynomial # Coefficients of the trace polynomial Returns # Returns ------- # ------- dp : array-like # dp : array-like Arc length along the trace at position `dx`. # Arc length along the trace at position `dx`. For `dydx` polynomial orders 0, 1 or 2, integrate analytically. # For `dydx` polynomial orders 0, 1 or 2, integrate analytically. Higher orders must be integrated numerically. # Higher orders must be integrated numerically. **Constant:** # **Constant:** .. math:: dp = dx # .. math:: dp = dx **Linear:** # **Linear:** .. math:: dp = \sqrt{1+\mathrm{DYDX}[1]}\cdot dx # .. math:: dp = \sqrt{1+\mathrm{DYDX}[1]}\cdot dx **Quadratic:** # **Quadratic:** .. math:: u = \mathrm{DYDX}[1] + 2\ \mathrm{DYDX}[2]\cdot dx # .. math:: u = \mathrm{DYDX}[1] + 2\ \mathrm{DYDX}[2]\cdot dx .. math:: dp = (u \sqrt{1+u^2} + \mathrm{arcsinh}\ u) / (4\cdot \mathrm{DYDX}[2]) # .. math:: dp = (u \sqrt{1+u^2} + \mathrm{arcsinh}\ u) / (4\cdot \mathrm{DYDX}[2]) """ # """ # dp is the arc length along the trace # dp is the arc length along the trace # $\lambda = dldp_0 + dldp_1 dp + dldp_2 dp^2$ ... # $\lambda = dldp_0 + dldp_1 dp + dldp_2 dp^2$ ... Loading Loading
observation_sim/mock_objects/SpecDisperser/SpecDisperser.py +21 −21 Original line number Original line Diff line number Diff line Loading @@ -495,36 +495,36 @@ class aXeConf: return a return a def evaluate_dp(self, dx, dydx): def evaluate_dp(self, dx, dydx): """Evalate arc length along the trace given trace polynomial coefficients # """Evalate arc length along the trace given trace polynomial coefficients Parameters # Parameters ---------- # ---------- dx : array-like # dx : array-like x pixel to evaluate # x pixel to evaluate dydx : array-like # dydx : array-like Coefficients of the trace polynomial # Coefficients of the trace polynomial Returns # Returns ------- # ------- dp : array-like # dp : array-like Arc length along the trace at position `dx`. # Arc length along the trace at position `dx`. For `dydx` polynomial orders 0, 1 or 2, integrate analytically. # For `dydx` polynomial orders 0, 1 or 2, integrate analytically. Higher orders must be integrated numerically. # Higher orders must be integrated numerically. **Constant:** # **Constant:** .. math:: dp = dx # .. math:: dp = dx **Linear:** # **Linear:** .. math:: dp = \sqrt{1+\mathrm{DYDX}[1]}\cdot dx # .. math:: dp = \sqrt{1+\mathrm{DYDX}[1]}\cdot dx **Quadratic:** # **Quadratic:** .. math:: u = \mathrm{DYDX}[1] + 2\ \mathrm{DYDX}[2]\cdot dx # .. math:: u = \mathrm{DYDX}[1] + 2\ \mathrm{DYDX}[2]\cdot dx .. math:: dp = (u \sqrt{1+u^2} + \mathrm{arcsinh}\ u) / (4\cdot \mathrm{DYDX}[2]) # .. math:: dp = (u \sqrt{1+u^2} + \mathrm{arcsinh}\ u) / (4\cdot \mathrm{DYDX}[2]) """ # """ # dp is the arc length along the trace # dp is the arc length along the trace # $\lambda = dldp_0 + dldp_1 dp + dldp_2 dp^2$ ... # $\lambda = dldp_0 + dldp_1 dp + dldp_2 dp^2$ ... Loading
