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generate_scatter.m
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generate_scatter.m
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function [cdf_scatter,petzold_angle_rad] = generate_scatter(func_type,water_cond,g)
if strcmp(func_type,'')
func_type = 'measured';
end
if strcmp(water_cond,'')
water_cond = 'clear';
end
%func_type = 'calc' % 'measured' or 'calc'
% % g = 0.924;
% % GENERAL USAGE:
% % [cdf_scatter,angle] = generate_scatter(0.924);
% % angle1 = 0:0.006:pi;
% % angle2 = -pi:0.006:0;
% angle2 = -0.25:0.001:(2*pi-0.25);
% % angle = -pi:0.006:pi;
%
%
% % scatter1 = (1/(4*pi))*((1-g^2)./(1+g^2 - 2*g.*cos(angle1)).^1.5);
% scatter2 = (1/(4*pi))*((1-g^2)./(1+g^2 - 2*g.*cos(abs(angle2))).^1.5);
% % scatter = [scatter2 scatter1];
% scatter = scatter2;
% scatter_norm = scatter ./ sum(scatter);
% cdf_scatter = cumsum(scatter_norm);
%
% load petzold_data_orig
% petzold_angle = [0.1:0.05:180]';
% cdf_scatter = cumsum(scatter_water.*sind(angle_water));
% cdf_scatter = interp1(angle_water,cdf_scatter,petzold_angle);
% cdf_scatter = cdf_scatter ./ max(cdf_scatter);
% petzold_angle_rad = petzold_angle.*pi./180;
if strcmp(func_type,'measured')
if strcmp(water_cond,'petzold_avg')
load petzold_data_orig
%petzold_angle = [0.1:0.05:180]';
cdf_scatter = cumtrapz(angle_water,scatter_water.*sind(angle_water));
%cdf_scatter = interp1(angle_water,cdf_scatter,petzold_angle);
cdf_scatter = cdf_scatter ./ max(cdf_scatter);
petzold_angle_rad = angle_water.*pi./180;
elseif strcmp(water_cond,'maalox_alan')
load maalox_alan
%load maalox_alan % these are diretly measured, and aren't extrapolated for small angles
% petzold_angle = [maalox_angle(1:99); [4.30:0.05:180]']; %only use if not extrapolating values
%petzold_angle = [maalox_angle(1:144); [4.30:0.05:180]'];
cdf_scatter = cumtrapz(maalox_angle,maalox_vsf.*sind(maalox_angle));
%cdf_scatter = interp1(maalox_angle,cdf_scatter,petzold_angle);
cdf_scatter = cdf_scatter ./ max(cdf_scatter);
%petzold_angle_rad = petzold_angle.*pi./180;
petzold_angle_rad = maalox_angle.*pi./180;
elseif strcmp(water_cond,'maalox_alan_orig')
load maalox_alan_orig
cdf_scatter = cumtrapz(maalox_angle,maalox_vsf.*sind(maalox_angle));
%cdf_scatter = interp1(maalox_angle,cdf_scatter,petzold_angle);
cdf_scatter = cdf_scatter ./ max(cdf_scatter);
%petzold_angle_rad = petzold_angle.*pi./180;
petzold_angle_rad = maalox_angle.*pi./180;
elseif strcmp(water_cond,'petzold_maalox')
load petzold_data_maalox_orig
%petzold_angle = [0.1:0.05:180]';
angle_water = [0;angle_water];
scatter_water = [scatter_water(1);scatter_water];
cdf_scatter = cumtrapz(angle_water,scatter_water.*sind(angle_water));
%cdf_scatter = interp1(angle_water,cdf_scatter,petzold_angle);
cdf_scatter = cdf_scatter ./ max(cdf_scatter);
petzold_angle_rad = angle_water.*pi./180;
elseif strcmp(water_cond,'widemann_maalox')
load widemann_maalox
cdf_scatter = cumtrapz(widemann_maalox(:,1),widemann_maalox(:,2).*sin(widemann_maalox(:,1)));
cdf_scatter = cdf_scatter ./ max(cdf_scatter);
petzold_angle_rad = widemann_maalox(:,1);
elseif strcmp(water_cond,'mie_1_micron')
if (isunix())
load('Berrocal/mieVSF1micron')
else
load('Berrocal\mieVSF1micron')
end
sphereAngles = sphereAngles.*pi./180;
cdf_scatter = cumtrapz(sphereAngles,sin(sphereAngles).*mieVSF1micron);
cdf_scatter = cdf_scatter ./ max(cdf_scatter);
petzold_angle_rad = sphereAngles;
elseif strcmp(water_cond,'petzold_harbor')
load petzold_ocean
cdf_scatter = cumtrapz(petzold_ocean(:,1),petzold_ocean(:,2).*sin(petzold_ocean(:,1)));
cdf_scatter = cdf_scatter ./ max(cdf_scatter);
petzold_angle_rad = petzold_ocean(:,1);
elseif strcmp(water_cond,'petzold_coastal')
load petzold_ocean
cdf_scatter = cumtrapz(petzold_ocean(:,1),petzold_ocean(:,3).*sin(petzold_ocean(:,1)));
cdf_scatter = cdf_scatter ./ max(cdf_scatter);
petzold_angle_rad = petzold_ocean(:,1);
elseif strcmp(water_cond,'petzold_clear')
load petzold_ocean
cdf_scatter = cumtrapz(petzold_ocean(:,1),petzold_ocean(:,4).*sin(petzold_ocean(:,1)));
cdf_scatter = cdf_scatter ./ max(cdf_scatter);
petzold_angle_rad = petzold_ocean(:,1);
end
elseif strcmp(func_type,'calc')
theta = [[0:0.01:10] [10.1:0.1:180]];
if strcmp(water_cond,'hg')
% HG phase function
%g = 0.924;
gsqr = g^2;
angle = theta.*pi./180;
intensity = ((1/(4*pi)).*(1 - gsqr)) ./ (1 + gsqr - 2.*g.*cos(angle)).^(3/2);
cdf_scatter = cumtrapz(angle,intensity.*sin(angle));
cdf_scatter = cdf_scatter ./ max(cdf_scatter);
petzold_angle_rad = angle;
else
if strcmp(water_cond,'harbor')
% harbor water
c = 2.190;
a = 0.366;
elseif strcmp(water_cond,'coastal')
% coastal water
c = 0.22 + 0.179;
a = 0.179;
else
% Clear water
c = 0.0374 + 0.114;
a = 0.114;
end
b = c-a;
albedo = (c-a)/c; % Water albedo is scattering coef./atten. coef. (b/c unitless)
q = 2.598 + 17.748*sqrt(b) - 16.722*b + 5.932*b*sqrt(b);
k1 = 1.188 - 0.688*albedo;
k2 = 0.1*(3.07 - 1.90*albedo);
k3 = 0.01*(4.58 - 3.02*albedo);
k4 = 0.001*(3.24 - 2.25*albedo);
k5 = 0.0001*(0.84 - 0.61*albedo);
phase_func = (4*pi/b)*exp(q*(1 + ((-1)^1*k1*theta.^(1/2)) ...
+ ((-1)^2*k2*theta.^(2/2)) ...
+ ((-1)^3*k3*theta.^(3/2)) ...
+ ((-1)^4*k4*theta.^(4/2)) ...
+ ((-1)^5*k5*theta.^(5/2))));
%phase_func_adj = phase_func.*sind(theta);
cdf_phase_func = cumtrapz(theta,phase_func.*sind(theta));
cdf_phase_func = cdf_phase_func ./ max(cdf_phase_func);
cdf_phase_func_interp = interp1(cdf_phase_func,theta,[0:0.001:1]);
cdf_scatter = cdf_phase_func;
petzold_angle_rad = theta.*pi./180;
end
end